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)

sample628.0ms (17.6%)

Memory

26.1MiB live, 769.9MiB allocated; 180ms collecting garbage

Samples

317.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-acosh: 122.0ms (73.1% of total)

ival->=: 33.0ms (19.8% of total)

exact: 6.0ms (3.6% of total)

adjust: 3.0ms (1.8% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain138.0ms (3.9%)

Memory

0.7MiB live, 191.7MiB allocated; 34ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
116	-	-	`(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	116	0
↳	`(*.f32 x x)`	overflow	116
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	116
`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	116
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	116

Confusion

	Predicted +	Predicted -
+	116	0
-	0	140

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	116	0	0
-	0	0	140

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	140
1	114
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-log: 5.0ms (25.9% of total)

ival-mult: 4.0ms (20.7% of total)

ival-sqrt: 4.0ms (20.7% of total)

ival-add: 3.0ms (15.6% of total)

ival-sub: 3.0ms (15.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess171.0ms (4.8%)

Memory

33.2MiB live, 175.7MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.6%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify148.0ms (4.1%)

Memory

-45.1MiB live, 157.1MiB allocated; 37ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
cost-diff	0	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
cost-diff	1	(-.f32 (*.f32 x x) #s(literal 1 binary32))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	22	33
2	49	33
3	121	33
4	383	33
5	2335	33
6	7889	33
0	8019	29

Stop Event

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

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

localize21.0ms (0.6%)

Memory

34.3MiB live, 34.3MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.02734375	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	0.24161028868199552	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	12.472513950810468	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

15.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log: 3.0ms (32.6% of total)

ival-mult: 2.0ms (21.7% of total)

ival-sqrt: 2.0ms (21.7% of total)

ival-add: 1.0ms (10.9% of total)

ival-sub: 1.0ms (10.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.3%)

Memory

-32.8MiB live, 11.7MiB allocated; 10ms collecting garbage

Counts

4 → 40

Calls

Call 1

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

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

Time

Variable

Point

Expression

7.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify181.0ms (5.1%)

Memory

5.1MiB live, 184.8MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	863
1	523	837
2	2048	820
0	8803	761

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

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

rewrite68.0ms (1.9%)

Memory

19.4MiB live, 63.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	15
1	53	15
0	400	14

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 64

Calls

Call 1

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

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

eval10.0ms (0.3%)

Memory: 22.3MiB live, 22.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 722 to 488 computations (71.7% saved)

prune7.0ms (0.2%)

Memory

-34.8MiB live, 10.7MiB allocated; 6ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	4	105

Accuracy

100.0%

Counts

105 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x))
▶	96.8%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	99.4%	(acosh.f32 x)
▶	98.5%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))

Compiler

Compiled 51 to 40 computations (21.6% saved)

simplify161.0ms (4.5%)

Memory

29.8MiB live, 129.5MiB allocated; 20ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f32 x #s(literal -1 binary32))
cost-diff	0	(sqrt.f32 (-.f32 x #s(literal -1 binary32)))
cost-diff	0	(fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
cost-diff	0	(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x))
cost-diff	0	#s(approx (sqrt (- (* x x) 1)) x)
cost-diff	0	(+.f32 x #s(approx (sqrt (- (* x x) 1)) x))
cost-diff	0	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
cost-diff	0	(acosh.f32 x)
cost-diff	0	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
cost-diff	0	(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
cost-diff	0	(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	156
0	51	156
1	71	156
2	118	156
3	222	156
4	540	156
5	2669	156
6	7311	156
0	8676	152

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (2.7%)

Memory

-21.2MiB live, 166.2MiB allocated; 32ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f32 (-.f32 x #s(literal -1 binary32)))
accuracy	0.01171875	(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
accuracy	0.1015625	(fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
accuracy	0.24161028868199552	(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x))
accuracy	0.02734375	(+.f32 x #s(approx (sqrt (- (* x x) 1)) x))
accuracy	0.24161028868199552	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
accuracy	1.0435762350979854	#s(approx (sqrt (- (* x x) 1)) x)
accuracy	0.18359375	(acosh.f32 x)
accuracy	0.23116926770666624	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
accuracy	0.234375	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
accuracy	0.3304196954880641	(/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))
accuracy	0.71931744855907	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))

Samples

62.0ms

256×

valid

Compiler

Compiled 136 to 30 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-log: 13.0ms (26.1% of total)

ival-div: 9.0ms (18% of total)

ival-sub: 6.0ms (12% of total)

ival-acosh: 6.0ms (12% of total)

ival-sqrt: 5.0ms (10% of total)

ival-add: 4.0ms (8% of total)

ival-mult: 3.0ms (6% of total)

ival-pow: 3.0ms (6% of total)

exact: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

series299.0ms (8.4%)

Memory

-6.3MiB live, 342.6MiB allocated; 162ms collecting garbage

Counts

15 → 120

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 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)
(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x))
(fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
(sqrt.f32 (-.f32 x #s(literal -1 binary32)))
(-.f32 x #s(literal -1 binary32))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))
(sqrt.f32 (-.f32 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 (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (/ -1/4 (pow x 2))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))))
#s(approx (+ (log x) (log 2)) #s(hole binary32 (+ (log 2) (log x))))
#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 (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) 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 (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (sqrt -1)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #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 -1)) #s(hole binary32 1))
#s(approx (sqrt (- x -1)) #s(hole binary32 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- x -1) #s(hole binary32 1))
#s(approx (- x -1) #s(hole binary32 (+ 1 x)))
#s(approx (/ 1/4 (* x x)) #s(hole binary32 (/ 1/4 (pow x 2))))
#s(approx (/ 3/32 (pow x 4)) #s(hole binary32 (/ 3/32 (pow x 4))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (- x 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (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 (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #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) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (log x) (log 2)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 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 (+ 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 (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) 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 (+ (* (sqrt (- x -1)) (sqrt (- x 1))) 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 (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* 2 x)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #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 -1)) #s(hole binary32 (sqrt x)))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (- x -1) #s(hole binary32 x))
#s(approx (- x -1) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (sqrt x)))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))))
#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) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #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 (- (+ (log x) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (log x) (log 2)) #s(hole binary32 (+ (log -1) (+ (log 2) (* -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))))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* -1 (* x (- (pow (sqrt -1) 2) 1)))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
138.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) (sqrt (- x -1)) (- x -1) (/ 1/4 (* x x)) (/ 3/32 (pow x 4)) (sqrt (- x 1)))
101.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) (sqrt (- x -1)) (- x -1) (/ 1/4 (* x x)) (/ 3/32 (pow x 4)) (sqrt (- x 1)))
57.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) (sqrt (- x -1)) (- x -1) (/ 1/4 (* x x)) (/ 3/32 (pow x 4)) (sqrt (- x 1)))

Time

Variable

Point

Expression

138.0ms

inf

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

101.0ms

-inf

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

57.0ms

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

simplify262.0ms (7.3%)

Memory

19.4MiB live, 296.7MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	473	2968
1	1196	2658
2	4912	2620
0	8400	2504

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
#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) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (/ -1/4 (pow x 2))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))))
#s(approx (+ (log x) (log 2)) #s(hole binary32 (+ (log 2) (log x))))
#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 (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) 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 (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (sqrt -1)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #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 -1)) #s(hole binary32 1))
#s(approx (sqrt (- x -1)) #s(hole binary32 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- x -1) #s(hole binary32 1))
#s(approx (- x -1) #s(hole binary32 (+ 1 x)))
#s(approx (/ 1/4 (* x x)) #s(hole binary32 (/ 1/4 (pow x 2))))
#s(approx (/ 3/32 (pow x 4)) #s(hole binary32 (/ 3/32 (pow x 4))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (- x 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (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 (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #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) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (log x) (log 2)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 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 (+ 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 (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) 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 (+ (* (sqrt (- x -1)) (sqrt (- x 1))) 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 (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* 2 x)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #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 -1)) #s(hole binary32 (sqrt x)))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (- x -1) #s(hole binary32 x))
#s(approx (- x -1) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (sqrt x)))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))))
#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) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #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 (- (+ (log x) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (log x) (log 2)) #s(hole binary32 (+ (log -1) (+ (log 2) (* -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))))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* -1 (* x (- (pow (sqrt -1) 2) 1)))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#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)))) (+.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)))) #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)))) (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) #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)))) #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 (sqrt (- (* x x) 1)))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal -1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) (/.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) #s(literal -3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) (/.f32 (fma.f32 (fma.f32 (.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) x) x #s(literal -1/4 binary32)) (.f32 x x) #s(literal -3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (/ -1/4 (pow x 2))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (fma.f32 (.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) x) x #s(literal -1/4 binary32)) (.f32 x x)))
#s(approx (+ (log x) (log 2)) #s(hole binary32 (+ (log 2) (log x))))
#s(approx (+ (log x) (log 2)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
#s(approx (acosh x) #s(hole binary32 (log (sqrt -1))))
#s(approx (acosh x) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#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) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#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 (acosh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal -1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) x))
#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))) (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))) #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 (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 #s(literal -1/8 binary32) x) x) #s(literal -1 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)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))))
#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)) (fma.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 #s(literal -1/8 binary32) x) x) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#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 (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/16 binary32) x) x) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal -1/8 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 (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) 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 (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal -1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (sqrt -1)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) (+.f32 (sqrt.f32 #s(literal -1 binary32)) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) (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 (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #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 -1)) (sqrt (- x 1))) x) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 #s(literal -1/8 binary32) x) x) #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- x -1)) #s(hole binary32 1))
#s(approx (sqrt (- x -1)) #s(literal 1 binary32))
#s(approx (sqrt (- x -1)) #s(hole binary32 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)))
#s(approx (sqrt (- x -1)) #s(hole binary32 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) x #s(literal 1/2 binary32)) x #s(literal 1 binary32)))
#s(approx (sqrt (- x -1)) #s(hole binary32 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (- x -1)) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) x #s(literal -1/8 binary32)) x #s(literal 1/2 binary32)) x #s(literal 1 binary32)))
#s(approx (- x -1) #s(hole binary32 1))
#s(approx (- x -1) #s(literal 1 binary32))
#s(approx (- x -1) #s(hole binary32 (+ 1 x)))
#s(approx (- x -1) (-.f32 x #s(literal -1 binary32)))
#s(approx (/ 1/4 (* x x)) #s(hole binary32 (/ 1/4 (pow x 2))))
#s(approx (/ 1/4 (* x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
#s(approx (/ 3/32 (pow x 4)) #s(hole binary32 (/ 3/32 (pow x 4))))
#s(approx (/ 3/32 (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (- x 1)) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (- x 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))))
#s(approx (sqrt (- x 1)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- x 1)) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- x 1)) (fma.f32 (fma.f32 (-.f32 (*.f32 (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32)) (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32))))
#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)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
#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)))) (-.f32 (+.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)))) #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)))) (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#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 (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal -3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
#s(approx (- (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 3/32 (pow x 4))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
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#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) (+.f32 (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) #s(hole binary32 (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))))
#s(approx (log (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x)) (+.f32 (-.f32 (+.f32 (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -3/32 binary32) (*.f32 x x)) #s(literal -1/4 binary32)) x) x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* -1 (* x (- (pow (sqrt -1) 2) 1)))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) (.f32 (neg.f32 x) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) (.f32 (neg.f32 x) (-.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) #s(hole binary32 (* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (- x 1))) x) (.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x -1)) (*.f32 (sqrt.f32 x) #s(literal 1 binary32)))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x -1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x -1)) (*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x))
#s(approx (sqrt (- x -1)) #s(hole binary32 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- x -1)) (.f32 (neg.f32 x) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal 1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal -1 binary32)))))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x 1)) (*.f32 (sqrt.f32 x) #s(literal 1 binary32)))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x 1)) (*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x 1)) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (.f32 #s(literal -1/8 binary32) x))))
#s(approx (sqrt (- x 1)) #s(hole binary32 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- x 1)) (.f32 (neg.f32 x) (fma.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal 1/8 binary32) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal -1 binary32)))))))

rewrite87.0ms (2.4%)

Memory

11.5MiB live, 109.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	133
0	51	104
1	190	99
0	1692	99

Stop Event

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

Counts

15 → 136

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (fma.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (pow.f32 x #s(literal 4 binary32)))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) #s(literal -3/32 binary32))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (neg.f32 (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) #s(literal 3/32 binary32))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (pow.f32 x #s(literal 4 binary32)))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) #s(literal -3/32 binary32))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (neg.f32 (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 4 binary32))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) #s(literal 3/32 binary32))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))) (/.f32 (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))))
(-.f32 (/.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)))))
(-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 x) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
(+.f32 (log.f32 x) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
(+.f32 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))) (-.f32 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 x) (log.f32 x) (-.f32 (.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (.f32 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))))) (neg.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (*.f32 #s(literal 2 binary32) x)))))
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(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) x) (.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) x))) (*.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) x))
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eval23.0ms (0.6%)

Memory: 7.3MiB live, 52.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 7 044 to 1 057 computations (85% saved)

prune34.0ms (1%)

Memory

-26.1MiB live, 17.8MiB allocated; 7ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	245	1	246
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	246	4	250

Accuracy

100.0%

Counts

250 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x))
✓	96.8%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.4%	(acosh.f32 x)
▶	98.5%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))

Compiler

Compiled 50 to 39 computations (22% saved)

simplify146.0ms (4.1%)

Memory

6.4MiB live, 110.4MiB allocated; 27ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f32 (*.f32 #s(literal 2 binary32) x))
cost-diff	0	(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
cost-diff	0	(-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	80
0	28	80
1	45	80
2	82	80
3	181	80
4	610	80
5	4147	80
0	8096	79

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (2.4%)

Memory

1.8MiB live, 45.8MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.23116926770666624	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
accuracy	0.23379778868199552	(log.f32 (*.f32 #s(literal 2 binary32) x))
accuracy	0.3304196954880641	(/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))
accuracy	0.71931744855907	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))

Samples

76.0ms

256×

valid

Compiler

Compiled 65 to 20 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-pow: 51.0ms (74.3% of total)

ival-log: 5.0ms (7.3% of total)

ival-div: 3.0ms (4.4% of total)

ival-mult: 3.0ms (4.4% of total)

ival-sub: 3.0ms (4.4% of total)

ival-sqrt: 2.0ms (2.9% of total)

ival-add: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

series84.0ms (2.3%)

Memory

17.6MiB live, 62.4MiB allocated; 13ms collecting garbage

Counts

6 → 32

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

47.0ms

inf

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

28.0ms

-inf

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

8.0ms

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

simplify173.0ms (4.8%)

Memory

-3.8MiB live, 285.1MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	770
1	313	738
2	1127	731
0	6187	711

Stop Event

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

Counts

32 → 32

Calls

Call 1

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

rewrite57.0ms (1.6%)

Memory

9.8MiB live, 98.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	66
0	28	59
1	115	59
0	934	59

Stop Event

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

Counts

6 → 43

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (fma.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (pow.f32 x #s(literal 4 binary32)))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) #s(literal -3/32 binary32))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (neg.f32 (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) #s(literal 3/32 binary32))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (pow.f32 x #s(literal 4 binary32)))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) #s(literal -3/32 binary32))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (neg.f32 (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 4 binary32))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) #s(literal 3/32 binary32))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))) (/.f32 (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))))
(-.f32 (/.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)))))
(-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 x) (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))))) (neg.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (*.f32 #s(literal 2 binary32) x)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (*.f32 #s(literal 2 binary32) x))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (*.f32 #s(literal 2 binary32) x)))))
(-.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))))
(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(log.f32 (*.f32 #s(literal 2 binary32) 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 (/.f32 #s(literal 1/4 binary32) (neg.f32 x)) (neg.f32 x))
(/.f32 (/.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (fabs.f32 x))
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) (neg.f32 x))
(/.f32 (/.f32 #s(literal 1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) (*.f32 (neg.f32 x) x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(neg.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(neg.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) x)))
(/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (.f32 x x))
(/.f32 #s(literal -3/32 binary32) (neg.f32 (pow.f32 x #s(literal 4 binary32))))
(/.f32 #s(literal 3/32 binary32) (neg.f32 (neg.f32 (pow.f32 x #s(literal 4 binary32)))))
(/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))
(neg.f32 (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(neg.f32 (/.f32 #s(literal 3/32 binary32) (neg.f32 (pow.f32 x #s(literal 4 binary32)))))

eval9.0ms (0.2%)

Memory: -14.8MiB live, 29.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 796 to 341 computations (87.8% saved)

prune3.0ms (0.1%)

Memory

10.6MiB live, 10.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	74	4	78

Accuracy

100.0%

Counts

78 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x))
✓	96.8%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.4%	(acosh.f32 x)
▶	98.5%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (.f32 x x))))

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify131.0ms (3.7%)

Memory

29.5MiB live, 209.3MiB allocated; 41ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
cost-diff	0	(-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (.f32 x x)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (.f32 x x))))
cost-diff	4	(/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (.f32 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	93
0	27	93
1	50	85
2	128	83
3	409	81
4	1167	81
5	5396	81
0	8059	80

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (3.1%)

Memory

-18.7MiB live, 96.3MiB allocated; 44ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.23116926770666624	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (.f32 x x))))
accuracy	0.23379778868199552	(log.f32 (*.f32 #s(literal 2 binary32) x))
accuracy	0.6041541121400968	(/.f32 #s(literal 3/32 binary32) (*.f32 x x))
accuracy	0.71931744855907	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))

Samples

96.0ms

256×

valid

Compiler

Compiled 74 to 19 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-add: 57.0ms (64% of total)

ival-div: 19.0ms (21.3% of total)

ival-log: 5.0ms (5.6% of total)

ival-mult: 3.0ms (3.4% of total)

ival-sub: 3.0ms (3.4% of total)

ival-sqrt: 2.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.8%)

Memory

-23.8MiB live, 66.3MiB allocated; 8ms collecting garbage

Counts

7 → 33

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

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

10.0ms

-inf

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

8.0ms

inf

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

simplify146.0ms (4.1%)

Memory

-7.5MiB live, 177.7MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	785
1	327	749
2	1189	742
0	6462	708

Stop Event

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

Counts

33 → 33

Calls

Call 1

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

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

rewrite59.0ms (1.6%)

Memory

31.7MiB live, 81.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	83
0	27	76
1	115	64
0	1042	64

Stop Event

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

Counts

7 → 60

Calls

Call 1

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

Outputs
(/.f32 (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (neg.f32 x)) (neg.f32 x))
(/.f32 (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (fabs.f32 x)) (fabs.f32 x))
(/.f32 (neg.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 x))
(/.f32 (/.f32 #s(literal 3/32 binary32) x) (pow.f32 x #s(literal 3 binary32)))
(/.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 3 binary32))) x)
(/.f32 #s(literal -3/32 binary32) (neg.f32 (pow.f32 x #s(literal 4 binary32))))
(/.f32 #s(literal -3/32 binary32) (.f32 (.f32 (neg.f32 x) x) (*.f32 x x)))
(/.f32 (/.f32 #s(literal -3/32 binary32) (.f32 x x)) (.f32 (neg.f32 x) x))
(/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (.f32 x x))
(/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))
(neg.f32 (/.f32 (/.f32 #s(literal -3/32 binary32) (.f32 x x)) (.f32 x x)))
(neg.f32 (/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (.f32 (neg.f32 x) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x)))) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (fma.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32)) (/.f32 #s(literal 27/32768 binary32) (pow.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))) (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) x) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 3 binary32))))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) x))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) (.f32 (neg.f32 x) x)) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal -3/32 binary32) (.f32 x x)))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (*.f32 (neg.f32 x) x)))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) (.f32 x x)) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 3/32 binary32) (.f32 x x)))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (*.f32 x x)))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) #s(literal 3/32 binary32))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32)))) x) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 3 binary32))))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) x))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32)))) (.f32 (neg.f32 x) x)) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (/.f32 #s(literal -3/32 binary32) (.f32 x x)))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (*.f32 (neg.f32 x) x)))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32)))) (.f32 x x)) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (/.f32 #s(literal 3/32 binary32) (.f32 x x)))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (*.f32 x x)))
(/.f32 (-.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 4 binary32))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) #s(literal 3/32 binary32))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32)) (/.f32 #s(literal 27/32768 binary32) (pow.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))) (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))) (/.f32 (pow.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))))
(-.f32 (/.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))) (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 27/32768 binary32) (pow.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))) (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #s(literal 2 binary32)))))
(-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (*.f32 x x)))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 x) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))))) (neg.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (*.f32 #s(literal 2 binary32) x)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (*.f32 #s(literal 2 binary32) x))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (*.f32 #s(literal 2 binary32) x)))))
(-.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)))))
(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 x)) (neg.f32 x))
(/.f32 (/.f32 #s(literal 1/4 binary32) (fabs.f32 x)) (fabs.f32 x))
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) (neg.f32 x))
(/.f32 (/.f32 #s(literal 1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) (*.f32 (neg.f32 x) x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(neg.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(neg.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) x)))
(/.f32 (/.f32 #s(literal 3/32 binary32) (neg.f32 x)) (neg.f32 x))
(/.f32 (/.f32 #s(literal 3/32 binary32) (fabs.f32 x)) (fabs.f32 x))
(/.f32 (neg.f32 (/.f32 #s(literal 3/32 binary32) x)) (neg.f32 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))
(neg.f32 (/.f32 #s(literal -3/32 binary32) (*.f32 x x)))
(log.f32 (*.f32 #s(literal 2 binary32) 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))

eval21.0ms (0.6%)

Memory: -29.9MiB live, 14.3MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 677 to 426 computations (88.4% saved)

prune4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	91	5	96

Accuracy

100.0%

Counts

96 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x))
✓	96.8%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.4%	(acosh.f32 x)
	98.5%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal -3/32 binary32) (.f32 (.f32 (neg.f32 x) x) (*.f32 x x)))))
	5.3%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 #s(approx (- (log (* 2 x)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (*.f32 x x))))

Compiler

Compiled 274 to 126 computations (54% saved)

regimes9.0ms (0.3%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 #s(approx (- (log (* 2 x)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (*.f32 x x))))
(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 (fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal -3/32 binary32) (.f32 (.f32 (neg.f32 x) x) (*.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 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
99.4%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
99.4%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.4%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

3 calls:

1.0ms	x
1.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
1.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
5.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
5.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.3%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify44.0ms (1.2%)

Memory

-12.9MiB live, 32.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	38
1	40	38
2	84	38
3	209	38
4	1078	38

Stop Event

1×	node limit

Calls

Call 1

Inputs

(acosh.f32 x)

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

Outputs

(acosh.f32 x)

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

derivations93.0ms (2.6%)

Memory

2.6MiB live, 95.9MiB allocated; 22ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 38 to 23 computations (39.5% saved)

preprocess17.0ms (0.5%)

Memory: -4.9MiB live, 39.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 118 to 78 computations (33.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample628.0ms (17.6%)

explain138.0ms (3.9%)

preprocess171.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify148.0ms (4.1%)

localize21.0ms (0.6%)

series11.0ms (0.3%)

simplify181.0ms (5.1%)

rewrite68.0ms (1.9%)

eval10.0ms (0.3%)

prune7.0ms (0.2%)

simplify161.0ms (4.5%)

localize96.0ms (2.7%)

series299.0ms (8.4%)

simplify262.0ms (7.3%)

rewrite87.0ms (2.4%)

eval23.0ms (0.6%)

prune34.0ms (1%)

simplify146.0ms (4.1%)

localize86.0ms (2.4%)

series84.0ms (2.3%)

simplify173.0ms (4.8%)

rewrite57.0ms (1.6%)

eval9.0ms (0.2%)

prune3.0ms (0.1%)

simplify131.0ms (3.7%)

localize112.0ms (3.1%)

series30.0ms (0.8%)

simplify146.0ms (4.1%)

rewrite59.0ms (1.6%)

eval21.0ms (0.6%)

prune4.0ms (0.1%)

regimes9.0ms (0.3%)

regimes3.0ms (0.1%)

simplify44.0ms (1.2%)

derivations93.0ms (2.6%)

preprocess17.0ms (0.5%)

end0.0ms (0%)

Profiling