Metrics for Hyperbolic arc-cosine

start0.0ms (0%)

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

analyze119.0ms (2.3%)

Memory

-12.8MiB live, 87.3MiB allocated; 35ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample2.6s (49.1%)

Memory

20.8MiB live, 2 564.2MiB allocated; 546ms collecting garbage

Samples

1.3s	7 856×	1	invalid
608.0ms	8 256×	0	valid
17.0ms	324×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-log: 280.0ms (20% of total)

adjust: 270.0ms (19.3% of total)

ival-sqrt: 258.0ms (18.5% of total)

ival-mult: 251.0ms (18% of total)

ival-sub: 166.0ms (11.9% of total)

ival-add: 141.0ms (10.1% of total)

ival-true: 13.0ms (0.9% of total)

exact: 12.0ms (0.9% of total)

ival-assert: 7.0ms (0.5% of total)

Bogosity

explain139.0ms (2.7%)

Memory

22.3MiB live, 122.7MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
121	-	-	`(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))`
1	-	-	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
0	-	-	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	121	0
↳	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	121
↳	`(*.f64 x x)`	overflow	121
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`	oflow-rescue	1	0
↳	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`	overflow	1
↳	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	121
↳	`(*.f64 x x)`	overflow	121

Confusion

	Predicted +	Predicted -
+	121	0
-	0	135

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	0	0
-	0	0	135

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	135
1	120
2	1

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 (26.6% of total)

ival-mult: 4.0ms (21.3% of total)

ival-sqrt: 3.0ms (15.9% of total)

ival-add: 2.0ms (10.6% of total)

ival-sub: 2.0ms (10.6% 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)

preprocess226.0ms (4.3%)

Memory

-6.2MiB live, 136.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	24	21
2	59	21
3	116	21
4	374	21
5	2292	21
6	7893	21
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×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify122.0ms (2.3%)

Memory

10.3MiB live, 101.2MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
cost-diff	1	(-.f64 (*.f64 x x) #s(literal 1 binary64))

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.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
x
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

localize23.0ms (0.4%)

Memory

-11.4MiB live, 35.1MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.24604185475941126	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
accuracy	28.107305020267287	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

17.0ms

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 (32.7% of total)

ival-mult: 2.0ms (21.8% of total)

ival-sqrt: 2.0ms (21.8% 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)

series6.0ms (0.1%)

Memory

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

Counts

5 → 41

Calls

Call 1

Inputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x x)

Outputs
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (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 binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (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 binary64 (+ (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) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (- (+ (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 binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 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 binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* 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 binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -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 binary64 (* -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 binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (* x x))
2.0ms	x	@	-inf	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (* x x))
2.0ms	x	@	inf	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (* x x))

Time

Variable

Point

Expression

2.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

simplify175.0ms (3.4%)

Memory

15.4MiB live, 159.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	870
1	525	844
2	2052	827
0	8802	768

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 41

Calls

Call 1

Inputs
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (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 binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (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 binary64 (+ (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) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (- (+ (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 binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 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 binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* 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 binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -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 binary64 (* -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 binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -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 binary64 -1))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (* x x) 1) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (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.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (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.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (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.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) (*.f64 x x))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (* x x) 1) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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)))) (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (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)))) (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 5/96 binary64) (.f64 x x)) #s(literal -3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 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))) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64))) x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 1)) x)
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) x x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x) x x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* 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.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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)))) (-.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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)))) (-.f64 (-.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) x) x) #s(literal 1/2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -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))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (neg.f64 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64)) x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) x) x (neg.f64 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -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)) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x))

rewrite76.0ms (1.5%)

Memory

-19.6MiB live, 81.7MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	31
0	12	18
1	53	18
0	400	17

Stop Event

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

Counts

5 → 86

Calls

Call 1

Inputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x x)

Outputs
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sinh.f64 (acosh.f64 x))) (neg.f64 (sinh.f64 (acosh.f64 x))))
(*.f64 (fabs.f64 (sinh.f64 (acosh.f64 x))) (fabs.f64 (sinh.f64 (acosh.f64 x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (sinh.f64 (acosh.f64 x)) (sinh.f64 (acosh.f64 x)))
(pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(acosh.f64 x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (-.f64 x (sinh.f64 (acosh.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 (acosh.f64 x)) (-.f64 (sinh.f64 (acosh.f64 x)) x) (*.f64 x x))))
(log.f64 (+.f64 (sinh.f64 (acosh.f64 x)) x))
(/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (sinh.f64 (acosh.f64 x)) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x (sinh.f64 (acosh.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 (acosh.f64 x)) (-.f64 (sinh.f64 (acosh.f64 x)) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x (sinh.f64 (acosh.f64 x))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (.f64 x x) (.f64 (sinh.f64 (acosh.f64 x)) x))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (sinh.f64 (acosh.f64 x)) (-.f64 (sinh.f64 (acosh.f64 x)) x) (*.f64 x x)))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x)
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sinh.f64 (acosh.f64 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (sinh.f64 (acosh.f64 x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (sinh.f64 (acosh.f64 x)) (-.f64 (sinh.f64 (acosh.f64 x)) x) (.f64 x x))) (/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (acosh.f64 x)) (-.f64 (sinh.f64 (acosh.f64 x)) x) (.f64 x x))))
(+.f64 (sinh.f64 (acosh.f64 x)) x)
(+.f64 x (sinh.f64 (acosh.f64 x)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (exp.f64 (acosh.f64 x)) (exp.f64 (neg.f64 (acosh.f64 x)))) #s(literal 2 binary64))
(sinh.f64 (acosh.f64 (neg.f64 x)))
(sinh.f64 (acosh.f64 (fabs.f64 x)))
(sinh.f64 (acosh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval18.0ms (0.3%)

Memory: -1.1MiB live, 45.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 992 to 600 computations (69.9% saved)

prune3.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	3	128

Accuracy

100.0%

Counts

128 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(log.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x))
▶	99.1%	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	99.7%	(acosh.f64 x)

Status

Accuracy

Program

▶

54.2%

(log.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x))

▶

99.1%

(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))

▶

99.7%

(acosh.f64 x)

Compiler

Compiled 28 to 17 computations (39.3% saved)

simplify178.0ms (3.4%)

Memory

28.2MiB live, 154.0MiB allocated; 49ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))
cost-diff	0	(log.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x))
cost-diff	7	(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x)
cost-diff	0	#s(approx (sqrt (- (* x x) 1)) x)
cost-diff	0	(+.f64 x #s(approx (sqrt (- (* x x) 1)) x))
cost-diff	0	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
cost-diff	0	(acosh.f64 x)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	75
0	23	60
1	44	58
2	98	58
3	208	58
4	511	58
5	2706	58
6	6272	58
0	8028	58

Stop Event

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

Calls

Call 1

Inputs
(acosh.f64 x)
x
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) x))
x
#s(approx (sqrt (- (* x x) 1)) x)
(log.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x)
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1/4 binary64)

Outputs
(acosh.f64 x)
x
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
(log.f64 (+.f64 #s(approx (sqrt (- (* x x) 1)) x) x))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) x))
(+.f64 #s(approx (sqrt (- (* x x) 1)) x) x)
x
#s(approx (sqrt (- (* x x) 1)) x)
(log.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x)
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1/4 binary64)

localize62.0ms (1.2%)

Memory

5.4MiB live, 142.2MiB allocated; 22ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0546875	(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x)
accuracy	0.24604185475941126	(log.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x))
accuracy	29.014966414003162	(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))
accuracy	0.00390625	(+.f64 x #s(approx (sqrt (- (* x x) 1)) x))
accuracy	0.24604185475941126	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
accuracy	0.4573418305491906	#s(approx (sqrt (- (* x x) 1)) x)
accuracy	0.19140625	(acosh.f64 x)

Samples

52.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sub: 17.0ms (39.2% of total)

ival-add: 6.0ms (13.8% of total)

ival-pow: 6.0ms (13.8% of total)

ival-log: 5.0ms (11.5% of total)

ival-acosh: 4.0ms (9.2% of total)

ival-mult: 3.0ms (6.9% of total)

ival-sqrt: 2.0ms (4.6% 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)

series25.0ms (0.5%)

Memory

-40.5MiB live, 13.2MiB allocated; 20ms collecting garbage

Counts

8 → 88

Calls

Call 1

Inputs
(acosh.f64 x)
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) x)
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x)
(log.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))
(fma.f64 x x #s(literal -1 binary64))

Outputs
#s(approx (acosh x) #s(hole binary64 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary64 (+ (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)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (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 binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (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 binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (sqrt -1)))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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 (pow (+ (* x x) -1) 1/4) #s(hole binary64 (pow -1 1/4)))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* -1/4 (* (pow -1 1/4) (pow x 2))) (pow -1 1/4))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* (pow x 2) (+ (* -1/4 (pow -1 1/4)) (* -3/32 (* (pow -1 1/4) (pow x 2))))) (pow -1 1/4))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* (pow x 2) (+ (* -1/4 (pow -1 1/4)) (* (pow x 2) (+ (* -3/32 (pow -1 1/4)) (* -7/128 (* (pow -1 1/4) (pow x 2))))))) (pow -1 1/4))))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (- (+ (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 binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 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 binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (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 (pow (+ (* x x) -1) 1/4) #s(hole binary64 (sqrt x)))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (sqrt x) (* -1/4 (sqrt (/ 1 (pow x 3)))))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (sqrt x) (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (* -3/32 (sqrt (/ 1 (pow x 7))))))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (sqrt x) (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (* -7/128 (sqrt (/ 1 (pow x 11)))))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -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 binary64 (* -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 binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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 (pow (+ (* x x) -1) 1/4) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt x) (sqrt -1))))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* -7/128 (* (sqrt (/ 1 (pow x 11))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))))

Calls

3 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (pow (+ (* x x) -1) 1/4) (+ (* x x) -1))
2.0ms	x	@	-inf	((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (pow (+ (* x x) -1) 1/4) (+ (* x x) -1))
2.0ms	x	@	0	((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (pow (+ (* x x) -1) 1/4) (+ (* x x) -1))

Time

Variable

Point

Expression

21.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify187.0ms (3.6%)

Memory

27.8MiB live, 216.9MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	302	1982
1	729	1906
2	2812	1873
0	8464	1753

Stop Event

1×	iter limit
1×	node limit

Counts

88 → 88

Calls

Call 1

Inputs
#s(approx (acosh x) #s(hole binary64 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary64 (+ (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)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (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 binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (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 binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (sqrt -1)))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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 (pow (+ (* x x) -1) 1/4) #s(hole binary64 (pow -1 1/4)))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* -1/4 (* (pow -1 1/4) (pow x 2))) (pow -1 1/4))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* (pow x 2) (+ (* -1/4 (pow -1 1/4)) (* -3/32 (* (pow -1 1/4) (pow x 2))))) (pow -1 1/4))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* (pow x 2) (+ (* -1/4 (pow -1 1/4)) (* (pow x 2) (+ (* -3/32 (pow -1 1/4)) (* -7/128 (* (pow -1 1/4) (pow x 2))))))) (pow -1 1/4))))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (- (+ (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 binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 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 binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (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 (pow (+ (* x x) -1) 1/4) #s(hole binary64 (sqrt x)))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (sqrt x) (* -1/4 (sqrt (/ 1 (pow x 3)))))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (sqrt x) (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (* -3/32 (sqrt (/ 1 (pow x 7))))))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (sqrt x) (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* -3/32 (sqrt (/ 1 (pow x 7)))) (* -7/128 (sqrt (/ 1 (pow x 11)))))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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 binary64 (+ (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 binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -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 binary64 (* -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 binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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 (pow (+ (* x x) -1) 1/4) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt x) (sqrt -1))))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* -7/128 (* (sqrt (/ 1 (pow x 11))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))))

Outputs
#s(approx (acosh x) #s(hole binary64 (log (sqrt -1))))
#s(approx (acosh x) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (acosh x) #s(hole binary64 (+ (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.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (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 (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (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.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) (sqrt.f64 #s(literal -1 binary64)))
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#s(approx (acosh x) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
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#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) x) x) #s(literal 1/2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -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))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (neg.f64 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1 binary64)) x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) x) x (neg.f64 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -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)) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))) x))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) x) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x) #s(hole binary64 (* -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))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (neg.f64 x)))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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 (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (-.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (pow (+ (* x x) -1) 1/4) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))
#s(approx (pow (+ (* x x) -1) 1/4) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/4 binary64) (sqrt.f64 x))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (* (sqrt x) (sqrt -1))))))
#s(approx (pow (+ (* x x) -1) 1/4) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -3/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/4 binary64) (sqrt.f64 x)))))
#s(approx (pow (+ (* x x) -1) 1/4) #s(hole binary64 (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* -3/32 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* -7/128 (* (sqrt (/ 1 (pow x 11))) (sqrt -1))) (* (sqrt x) (sqrt -1)))))))
#s(approx (pow (+ (* x x) -1) 1/4) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal -7/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -3/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/4 binary64) (sqrt.f64 x))))))

rewrite56.0ms (1.1%)

Memory

6.5MiB live, 52.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	70
0	23	39
1	105	37
0	838	37

Stop Event

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

Counts

8 → 114

Calls

Call 1

Inputs
(acosh.f64 x)
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) x)
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x)
(log.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))
(fma.f64 x x #s(literal -1 binary64))

Outputs
(acosh.f64 x)
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) (log.f64 (-.f64 (sinh.f64 (acosh.f64 x)) x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)))) (log.f64 (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))))
(log.f64 (+.f64 (sinh.f64 (acosh.f64 x)) x))
(-.f64 (log.f64 (.f64 (+.f64 #s(approx (sqrt (- ( x x) 1)) x) x) (-.f64 x #s(approx (sqrt (- (* x x) 1)) x)))) (log.f64 (-.f64 x #s(approx (sqrt (- (* x x) 1)) x))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (- (* x x) 1)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) x) (-.f64 #s(approx (sqrt (- (* x x) 1)) x) x) (*.f64 x x))))
(log.f64 (+.f64 #s(approx (sqrt (- (* x x) 1)) x) x))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (- (* x x) 1)) x) #s(literal 2 binary64)) (.f64 x x)) (-.f64 #s(approx (sqrt (- ( x x) 1)) x) x))
(/.f64 (neg.f64 (.f64 (+.f64 #s(approx (sqrt (- ( x x) 1)) x) x) (-.f64 x #s(approx (sqrt (- (* x x) 1)) x)))) (neg.f64 (-.f64 x #s(approx (sqrt (- (* x x) 1)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (sqrt (- (* x x) 1)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (sqrt (- (* x x) 1)) x) (-.f64 #s(approx (sqrt (- (* x x) 1)) x) x) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(approx (sqrt (- ( x x) 1)) x) x) (-.f64 x #s(approx (sqrt (- (* x x) 1)) x))) (-.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (- (* x x) 1)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (- (* x x) 1)) x) #s(approx (sqrt (- (* x x) 1)) x) (-.f64 (.f64 x x) (.f64 #s(approx (sqrt (- (* x x) 1)) x) x))))
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (- (* x x) 1)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (- (* x x) 1)) x) (-.f64 #s(approx (sqrt (- (* x x) 1)) x) x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (sqrt (- ( x x) 1)) x))) (/.f64 (pow.f64 #s(approx (sqrt (- (* x x) 1)) x) #s(literal 2 binary64)) (-.f64 x #s(approx (sqrt (- (* x x) 1)) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (- (* x x) 1)) x) (-.f64 #s(approx (sqrt (- (* x x) 1)) x) x) (.f64 x x))) (/.f64 (pow.f64 #s(approx (sqrt (- ( x x) 1)) x) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (- (* x x) 1)) x) (-.f64 #s(approx (sqrt (- (* x x) 1)) x) x) (*.f64 x x))))
(+.f64 #s(approx (sqrt (- (* x x) 1)) x) x)
(+.f64 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) x)
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x (sinh.f64 (acosh.f64 x))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (sinh.f64 (acosh.f64 x)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (sinh.f64 (acosh.f64 x)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (sinh.f64 (acosh.f64 x)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/8 binary64)) x)
(fma.f64 (pow.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))) #s(literal 1 binary64)) x)
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))))) (neg.f64 (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))))) x)
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x)
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sinh.f64 (acosh.f64 x)))) x)
(fma.f64 (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x)))) (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x)))) x)
(fma.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))) (sqrt.f64 (sinh.f64 (acosh.f64 x))) x)
(-.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (sinh.f64 (acosh.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (sinh.f64 (acosh.f64 x)) x)))
(-.f64 x (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))))) (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))))))
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x)))) (sqrt.f64 (sinh.f64 (acosh.f64 x)))))
(-.f64 x (*.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))) (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))))))
(+.f64 (/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (sinh.f64 (acosh.f64 x)) x)
(+.f64 x (sinh.f64 (acosh.f64 x)))
(acosh.f64 x)
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) (log.f64 (-.f64 (sinh.f64 (acosh.f64 x)) x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)))) (log.f64 (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))))
(log.f64 (+.f64 (sinh.f64 (acosh.f64 x)) x))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/8 binary64))) (fabs.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 (sinh.f64 (acosh.f64 x)))
(fabs.f64 (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x)))))
(fabs.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/4 binary64))) (sinh.f64 (.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(.f64 (.f64 (sinh.f64 (acosh.f64 x)) (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))))) (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x)))))
(.f64 (.f64 (sinh.f64 (acosh.f64 x)) (sqrt.f64 (sinh.f64 (acosh.f64 x)))) (sqrt.f64 (sinh.f64 (acosh.f64 x))))
(*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x)))) (sqrt.f64 (sinh.f64 (acosh.f64 x)))) (*.f64 (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x)))) (sqrt.f64 (sinh.f64 (acosh.f64 x)))))
(.f64 (.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))) (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))))) (*.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))) (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))))))
(*.f64 (neg.f64 (sinh.f64 (acosh.f64 x))) (neg.f64 (sinh.f64 (acosh.f64 x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(.f64 (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x)))) (.f64 (neg.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x)))) (sinh.f64 (acosh.f64 x))))
(*.f64 (sinh.f64 (acosh.f64 x)) (sinh.f64 (acosh.f64 x)))
(.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))) (.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))) (sinh.f64 (acosh.f64 x))))
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))) #s(literal 4 binary64))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1 binary64))

eval37.0ms (0.7%)

Memory: 11.0MiB live, 56.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 810 to 935 computations (83.9% saved)

prune7.0ms (0.1%)

Memory

-30.0MiB live, 16.6MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	259	1	260
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	260	3	263

Accuracy

100.0%

Counts

263 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

99.1%

(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))

✓

99.7%

(acosh.f64 x)

▶

99.7%

#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)))

Compiler

Compiled 49 to 32 computations (34.7% saved)

simplify212.0ms (4.1%)

Memory

-40.2MiB live, 133.3MiB allocated; 122ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 x)
cost-diff	0	(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
cost-diff	0	(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x))
cost-diff	0	#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	101
0	31	93
1	58	92
2	132	92
3	305	92
4	711	92
5	2011	92
0	8186	91

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(log.f64 x)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)
(-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
(/.f64 #s(literal 3/32 binary64) (*.f64 x x))
#s(literal 3/32 binary64)
(*.f64 x x)
#s(literal -1/4 binary64)

Outputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 x)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)
(-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
(/.f64 #s(literal 3/32 binary64) (*.f64 x x))
#s(literal 3/32 binary64)
(*.f64 x x)
#s(literal -1/4 binary64)

localize55.0ms (1%)

Memory

15.0MiB live, 58.4MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)
accuracy	0.12890625	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)
accuracy	0.19140625	(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
accuracy	0.44146815199690254	(/.f64 #s(literal 3/32 binary64) (*.f64 x x))

Samples

44.0ms

256×

valid

Compiler

Compiled 85 to 22 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-log: 15.0ms (43.3% of total)

ival-div: 5.0ms (14.4% of total)

ival-pow: 5.0ms (14.4% of total)

ival-mult: 4.0ms (11.6% of total)

ival-add: 3.0ms (8.7% of total)

ival-sub: 2.0ms (5.8% of total)

exact: 1.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

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

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

series123.0ms (2.4%)

Memory

27.4MiB live, 121.5MiB allocated; 25ms collecting garbage

Counts

7 → 36

Calls

Call 1

Inputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(log.f64 x)
(/.f64 #s(literal 3/32 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)

Outputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ -3/32 (pow x 4))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (+ (log x) (log 2)) #s(hole binary64 (+ (log 2) (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ 3/32 (* x x)) #s(hole binary64 (/ 3/32 (pow x 2))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 4))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ 3/32 (pow x 3))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 3))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (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)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (log x) (log 2)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ 1/4 x)))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) x)))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (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)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))

Calls

3 calls:

Time

Variable

Point

Expression

87.0ms

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

18.0ms

-inf

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

17.0ms

inf

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

simplify186.0ms (3.6%)

Memory

4.5MiB live, 142.5MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	838
1	354	799
2	1254	790
0	6844	770

Stop Event

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

Counts

36 → 36

Calls

Call 1

Inputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ -3/32 (pow x 4))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (+ (log x) (log 2)) #s(hole binary64 (+ (log 2) (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ 3/32 (* x x)) #s(hole binary64 (/ 3/32 (pow x 2))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 4))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ 3/32 (pow x 3))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 3))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (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)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ (log x) (log 2)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ 1/4 x)))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) x)))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (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)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))

Outputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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 (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ -3/32 (pow x 4))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (/.f64 (fma.f64 (fma.f64 (.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) x) x #s(literal -1/4 binary64)) (.f64 x x) #s(literal -3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (log x) (log 2)) #s(hole binary64 (+ (log 2) (log x))))
#s(approx (+ (log x) (log 2)) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (log x) (log.f64 x))
#s(approx (/ 3/32 (* x x)) #s(hole binary64 (/ 3/32 (pow x 2))))
#s(approx (/ 3/32 (* x x)) (/.f64 #s(literal 3/32 binary64) (*.f64 x x)))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 4))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ 3/32 (pow x 3))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 3))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (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 (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 5/96 binary64) (.f64 x x)) #s(literal -3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (+ (log x) (log 2)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (log x) (log 2)) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log x) (log.f64 x))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (.f64 x x)))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ 1/4 x)))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) (/.f64 #s(literal 1/4 binary64) x))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) x)))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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 (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (-.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (-.f64 (+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (- (+ (log x) (log 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (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)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (-.f64 (-.f64 (+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (log x) (log 2)) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (log x) (log 2)) (+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))

rewrite37.0ms (0.7%)

Memory

-8.3MiB live, 34.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	85
0	31	74
0	142	73

Stop Event

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

Counts

7 → 20

Calls

Call 1

Inputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(log.f64 x)
(/.f64 #s(literal 3/32 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)

Outputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x)))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (log.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x))) (+.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (log.f64 (.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x) (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)))))
(-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x))
(+.f64 (log.f64 x) (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 x)
(/.f64 (/.f64 #s(literal 3/32 binary64) x) x)
(/.f64 #s(literal -3/32 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 3/32 binary64) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (.f64 x x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)
(-.f64 (/.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) x) (/.f64 #s(literal -1/4 binary64) x))

eval5.0ms (0.1%)

Memory: 11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 210 to 245 computations (88.9% saved)

prune2.0ms (0%)

Memory

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

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	53	3	56

Accuracy

100.0%

Counts

56 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

99.1%

(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))

✓

99.7%

(acosh.f64 x)

▶

99.6%

#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)))

Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify130.0ms (2.5%)

Memory

-6.8MiB live, 142.1MiB allocated; 34ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(log.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x))
cost-diff	0	#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	97
0	29	89
1	54	88
2	130	88
3	300	88
4	759	88
5	2668	88
0	8146	87

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x)))
(-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)
(-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
(/.f64 #s(literal 3/32 binary64) (*.f64 x x))
#s(literal 3/32 binary64)
(*.f64 x x)
#s(literal -1/4 binary64)

Outputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x)))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x)))
(-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)
(-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
(/.f64 #s(literal 3/32 binary64) (*.f64 x x))
#s(literal 3/32 binary64)
(*.f64 x x)
#s(literal -1/4 binary64)

localize73.0ms (1.4%)

Memory

-23.1MiB live, 115.7MiB allocated; 12ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)
accuracy	0.12890625	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)
accuracy	0.24213560475941126	(log.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0.44146815199690254	(/.f64 #s(literal 3/32 binary64) (*.f64 x x))

Samples

45.0ms

256×

valid

Compiler

Compiled 82 to 21 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 8.0ms (28.8% of total)

ival-log: 5.0ms (18% of total)

ival-pow: 5.0ms (18% of total)

ival-div: 4.0ms (14.4% of total)

ival-add: 2.0ms (7.2% of total)

ival-sub: 2.0ms (7.2% of total)

exact: 1.0ms (3.6% of total)

adjust: 0.0ms (0% of total)

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

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

series119.0ms (2.3%)

Memory

-6.6MiB live, 192.1MiB allocated; 23ms collecting garbage

Counts

7 → 34

Calls

Call 1

Inputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x)))
(-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 3/32 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)

Outputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ -3/32 (pow x 4))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (log (* x 2)) #s(hole binary64 (+ (log 2) (log x))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (/ 3/32 (* x x)) #s(hole binary64 (/ 3/32 (pow x 2))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 4))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ 3/32 (pow x 3))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 3))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (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 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (* x 2)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ 1/4 x)))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) x)))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log -2) (* -1 (log (/ -1 x))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (* x 2)) #s(hole binary64 (+ (log -2) (* -1 (log (/ -1 x))))))

Calls

3 calls:

Time

Variable

Point

Expression

73.0ms

-inf

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

37.0ms

inf

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

9.0ms

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

simplify170.0ms (3.3%)

Memory

6.4MiB live, 156.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	800
1	344	762
2	1204	753
0	6685	733

Stop Event

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

Counts

34 → 34

Calls

Call 1

Inputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ -3/32 (pow x 4))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (log (* x 2)) #s(hole binary64 (+ (log 2) (log x))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (/ 3/32 (* x x)) #s(hole binary64 (/ 3/32 (pow x 2))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 4))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ 3/32 (pow x 3))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 3))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (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 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (* x 2)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ 1/4 x)))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) x)))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log -2) (* -1 (log (/ -1 x))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (* x 2)) #s(hole binary64 (+ (log -2) (* -1 (log (/ -1 x))))))

Outputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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 (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ -3/32 (pow x 4))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (/.f64 (fma.f64 (fma.f64 (.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) x) x #s(literal -1/4 binary64)) (.f64 x x) #s(literal -3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (log (* x 2)) #s(hole binary64 (+ (log 2) (log x))))
#s(approx (log (* x 2)) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (* x 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ 3/32 (* x x)) #s(hole binary64 (/ 3/32 (pow x 2))))
#s(approx (/ 3/32 (* x x)) (/.f64 #s(literal 3/32 binary64) (*.f64 x x)))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ 3/32 (pow x 4))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 4))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ 3/32 (pow x 3))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 3))))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (- (+ (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 (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 5/96 binary64) (.f64 x x)) #s(literal -3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (* x 2)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (* x 2)) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) #s(hole binary64 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (.f64 x x)))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ 1/4 x)))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) (/.f64 #s(literal 1/4 binary64) x))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) #s(hole binary64 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) x)))
#s(approx (/ (- (/ 3/32 (* x x)) -1/4) x) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) #s(hole binary64 (+ (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 (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (-.f64 (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log -2) (* -1 (log (/ -1 x))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (-.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) #s(hole binary64 (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (log (* x 2)) (/ (/ (- (/ 3/32 (* x x)) -1/4) x) x)) (-.f64 (-.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (* x 2)) #s(hole binary64 (+ (log -2) (* -1 (log (/ -1 x))))))
#s(approx (log (* x 2)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))

rewrite22.0ms (0.4%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	83
0	29	75
0	127	74

Stop Event

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

Counts

7 → 17

Calls

Call 1

Inputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x)))
(-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 3/32 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)

Outputs
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x)))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (.f64 #s(literal 2 binary64) x)) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x) (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 3/32 binary64) x) x)
(/.f64 #s(literal -3/32 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 3/32 binary64) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (.f64 x x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)
(-.f64 (/.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) x) (/.f64 #s(literal -1/4 binary64) x))

eval5.0ms (0.1%)

Memory: 8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 983 to 220 computations (88.9% saved)

prune31.0ms (0.6%)

Memory

-35.7MiB live, 9.5MiB allocated; 6ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	49	3	52

Accuracy

100.0%

Counts

52 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

99.1%

(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))

✓

99.7%

(acosh.f64 x)

99.6%

#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) (*.f64 x x))))

Compiler

Compiled 191 to 77 computations (59.7% saved)

regimes7.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Accuracy

Total -29.5b remaining (-15408.2%)

Threshold costs -29.5b (-15408.2%)

Counts

7 → 1

Calls

Call 1

Inputs
(acosh.f64 x)
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (*.f64 x x))))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal -1/4 binary64)) x) x)))
#s(approx (log (+ (* (pow (+ (* x x) -1) 1/4) (pow (+ (* x x) -1) 1/4)) x)) (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x) x)))
(log.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x))

Outputs
(acosh.f64 x)

Calls

3 calls:

2.0ms	x
2.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
2.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.7%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`
99.7%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.7%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify8.0ms (0.1%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2

Stop Event

1×

saturated

Calls

Call 1

Inputs
(acosh.f64 x)

Outputs
(acosh.f64 x)

derivations2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess9.0ms (0.2%)

Memory: 11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze119.0ms (2.3%)

sample2.6s (49.1%)

explain139.0ms (2.7%)

preprocess226.0ms (4.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify122.0ms (2.3%)

localize23.0ms (0.4%)

series6.0ms (0.1%)

simplify175.0ms (3.4%)

rewrite76.0ms (1.5%)

eval18.0ms (0.3%)

prune3.0ms (0.1%)

simplify178.0ms (3.4%)

localize62.0ms (1.2%)

series25.0ms (0.5%)

simplify187.0ms (3.6%)

rewrite56.0ms (1.1%)

eval37.0ms (0.7%)

prune7.0ms (0.1%)

simplify212.0ms (4.1%)

localize55.0ms (1%)

series123.0ms (2.4%)

simplify186.0ms (3.6%)

rewrite37.0ms (0.7%)

eval5.0ms (0.1%)

prune2.0ms (0%)

simplify130.0ms (2.5%)

localize73.0ms (1.4%)

series119.0ms (2.3%)

simplify170.0ms (3.3%)

rewrite22.0ms (0.4%)

eval5.0ms (0.1%)

prune31.0ms (0.6%)

regimes7.0ms (0.1%)

simplify8.0ms (0.1%)

derivations2.0ms (0%)

preprocess9.0ms (0.2%)

end0.0ms (0%)

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