Metrics for Rust f64::asinh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 4 to 4 computations (0% saved)

sample1.6s (42.1%)

Memory

-109.3MiB live, 885.6MiB allocated; 1.4s collecting garbage

Samples

341.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-asinh: 106.0ms (91.1% of total)

ival-true: 5.0ms (4.3% of total)

ival-assert: 3.0ms (2.6% of total)

adjust: 2.0ms (1.7% of total)

Bogosity

explain255.0ms (6.6%)

Memory

39.7MiB live, 517.4MiB allocated; 66ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
124	-	1	(-0.023803506431763252)	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
76	-	0	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(fabs.f64 x)`
0	-	0	-	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	0	-	`(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	123	1
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	76	0
↳	`(*.f64 x x)`	overflow	76
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	76

Confusion

	Predicted +	Predicted -
+	199	1
-	0	56

Precision

1.0

Recall

0.995

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	199	1	0
-	0	0	56

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	57
1	199

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	88×	2	valid
48.0ms	152×	1	valid
25.0ms	272×	0	valid

Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-log: 40.0ms (39.9% of total)

ival-hypot: 27.0ms (26.9% of total)

adjust: 11.0ms (11% of total)

ival-copysign: 8.0ms (8% of total)

ival-add: 7.0ms (7% of total)

ival-mult: 4.0ms (4% of total)

ival-fabs: 3.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess199.0ms (5.2%)

Memory

22.3MiB live, 245.5MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	9	12
0	16	12
1	24	12
2	45	12
3	85	12
4	144	12
5	351	12
6	2401	12
7	5914	12
0	8153	11

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Compiler

Compiled 12 to 9 computations (25% saved)

simplify211.0ms (5.5%)

Memory

-24.5MiB live, 198.3MiB allocated; 104ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	16	49
1	24	49
2	45	49
3	85	49
4	144	49
5	351	49
6	2401	49
7	5914	49
0	8153	44

Stop Event

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

Calls

Call 1

Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(fabs.f64 x)
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
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.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))) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(fabs.f64 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)

localize87.0ms (2.3%)

Memory

36.1MiB live, 133.4MiB allocated; 28ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 x)
accuracy	0.0234375	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	17.57797806588517	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
accuracy	28.372138383519975	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

40.0ms	76×	1	valid
26.0ms	44×	2	valid
12.0ms	136×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-log: 35.0ms (51.6% of total)

adjust: 13.0ms (19.2% of total)

ival-hypot: 9.0ms (13.3% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory

-35.4MiB live, 12.9MiB allocated; 3ms collecting garbage

Counts

6 → 42

Calls

Call 1

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

Outputs
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#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 (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) 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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))
2.0ms	x	@	-inf	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))
1.0ms	x	@	inf	((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))

Time

Variable

Point

Expression

3.0ms

((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))

2.0ms

-inf

((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))

1.0ms

inf

((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x))

simplify159.0ms (4.1%)

Memory

21.4MiB live, 245.6MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	962
1	628	928
2	2705	916
0	8827	835

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 42

Calls

Call 1

Inputs
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#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 (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) 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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))

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 (+ 1 (pow x 2))))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x (log1p.f64 (fabs.f64 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal 45 binary64)) (pow.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 45 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 (fabs.f64 x) #s(literal -1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 (fabs.f64 x) #s(literal -1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 (fabs.f64 x) #s(literal -1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx (fabs x) (fabs.f64 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) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (fabs.f64 x) x)) (log.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 #s(literal -3 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64) (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (fabs.f64 x) x)) (log.f64 x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x) x x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x 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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fabs.f64 x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 #s(literal -3 binary64) (fabs.f64 x))) x) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1/2 binary64))) x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x) x (neg.f64 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x) x (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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) x))

rewrite75.0ms (1.9%)

Memory

-4.3MiB live, 100.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
0	16	32
1	56	24
0	406	23

Stop Event

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

Counts

6 → 75

Calls

Call 1

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

Outputs
(*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (fabs.f64 (cosh.f64 (asinh.f64 x))) (fabs.f64 (cosh.f64 (asinh.f64 x))))
(*.f64 (cosh.f64 (asinh.f64 x)) (cosh.f64 (asinh.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 (cosh.f64 (asinh.f64 x)) #s(literal 2 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 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.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 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(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 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.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))
(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 #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)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
(asinh.f64 (fabs.f64 x))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 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)) (fabs.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (cosh.f64 (asinh.f64 x)))
(fma.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 x)) (cosh.f64 (asinh.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cosh.f64 (asinh.f64 x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))))
(+.f64 (/.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)) (.f64 x x))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)) (.f64 x x))))
(+.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x))
(+.f64 (fabs.f64 x) (cosh.f64 (asinh.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)))
(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 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 x))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 x))
(fabs.f64 (fabs.f64 x))
(fabs.f64 x)

eval20.0ms (0.5%)

Memory: -8.5MiB live, 36.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 228 to 626 computations (71.9% saved)

prune4.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	111	5	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	5	117

Accuracy

100.0%

Counts

117 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
▶	30.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
▶	25.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
▶	8.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
▶	99.8%	(copysign.f64 (asinh.f64 (fabs.f64 x)) x)

Compiler

Compiled 118 to 86 computations (27.1% saved)

simplify358.0ms (9.3%)

Memory

-8.3MiB live, 204.2MiB allocated; 154ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fabs.f64 x)
cost-diff	0	(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
cost-diff	0	(fabs.f64 x)
cost-diff	0	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
cost-diff	0	(fabs.f64 x)
cost-diff	0	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))
cost-diff	0	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x)))
cost-diff	0	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
cost-diff	0	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
cost-diff	0	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
cost-diff	0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
cost-diff	0	(fabs.f64 x)
cost-diff	0	(asinh.f64 (fabs.f64 x))
cost-diff	0	(copysign.f64 (asinh.f64 (fabs.f64 x)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	181
0	45	181
1	54	181
2	75	181
3	115	181
4	174	181
5	381	181
6	2449	181
7	5950	181
0	8190	181

Stop Event

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

Calls

Call 1

Inputs
(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
(asinh.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(fabs.f64 x)
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
(asinh.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
x
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f64 x))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (fabs.f64 x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (fabs.f64 x))
(fabs.f64 x)
x
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(neg.f64 x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))
(fabs.f64 x)
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)

localize173.0ms (4.5%)

Memory

-28.4MiB live, 162.4MiB allocated; 25ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 x)
accuracy	0.0234375	(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy	17.57797806588517	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	28.372138383519975	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
accuracy	0.0	(fabs.f64 x)
accuracy	0.0234375	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
accuracy	28.372138383519975	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
accuracy	44.75668311471311	#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
accuracy	0.0	(fabs.f64 x)
accuracy	0.0234375	(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))
accuracy	28.372138383519975	(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x)))
accuracy	47.942156133028796	#s(approx (sqrt (+ (* x x) 1)) x)
accuracy	0.0	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
accuracy	28.372138383519975	(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
accuracy	59.88796297481863	#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
accuracy	0.0	(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
accuracy	0.0	(fabs.f64 x)
accuracy	0.1015625	(asinh.f64 (fabs.f64 x))

Samples

79.0ms	76×	1	valid
27.0ms	44×	2	valid
18.0ms	136×	0	valid

Compiler

Compiled 173 to 14 computations (91.9% saved)

Precisions

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

ival-log: 18.0ms (36% of total)

ival-hypot: 10.0ms (20% of total)

adjust: 5.0ms (10% of total)

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

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

ival-asinh: 2.0ms (4% of total)

ival-fabs: 2.0ms (4% of total)

ival-mult: 2.0ms (4% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series135.0ms (3.5%)

Memory

22.8MiB live, 107.9MiB allocated; 31ms collecting garbage

Counts

18 → 40

Calls

Call 1

Inputs
(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
(asinh.f64 (fabs.f64 x))
(fabs.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))

Outputs
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)))
#s(approx (asinh (fabs x)) #s(hole binary64 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) 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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))

Calls

3 calls:

Time	Variable		Point	Expression
71.0ms	x	@	-inf	((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)))
32.0ms	x	@	inf	((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)))
30.0ms	x	@	0	((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)))

Time

Variable

Point

Expression

71.0ms

-inf

((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)))

32.0ms

inf

((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)))

30.0ms

((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)))

simplify261.0ms (6.8%)

Memory

20.3MiB live, 204.4MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	956
1	626	932
2	2666	916
0	8495	833

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

Inputs
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)))
#s(approx (asinh (fabs x)) #s(hole binary64 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) 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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))

Outputs
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x)))
#s(approx (copysign (asinh (fabs x)) x) (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x))
#s(approx (asinh (fabs x)) #s(hole binary64 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2)))))))
#s(approx (asinh (fabs x)) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx (fabs x) (fabs.f64 x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x (log1p.f64 (fabs.f64 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal 45 binary64)) (pow.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 45 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal -1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 (fabs.f64 x) #s(literal -1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 (fabs.f64 x) #s(literal -1 binary64))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 (fabs.f64 x) #s(literal -1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal -1/2 binary64) (fabs.f64 x)) x) (log.f64 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) (fabs.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal -1/2 binary64) (fabs.f64 x)) x) (log.f64 x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x) x x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x 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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fabs.f64 x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 #s(literal -3 binary64) (fabs.f64 x))) x) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1/2 binary64))) x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x) x (neg.f64 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x) x (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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) x))

rewrite62.0ms (1.6%)

Memory

-29.4MiB live, 77.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	163
0	45	125
1	110	125
0	655	125

Stop Event

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

Counts

18 → 84

Calls

Call 1

Inputs
(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
(asinh.f64 (fabs.f64 x))
(fabs.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))

Outputs
(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
(asinh.f64 (fabs.f64 x))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 x))
(fabs.f64 (fabs.f64 x))
(fabs.f64 x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f64 x))) x)
(-.f64 (log.f64 (.f64 (+.f64 x #s(approx (sqrt (+ ( x x) 1)) x)) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) (log.f64 (-.f64 (fabs.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 (fabs.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) (fabs.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f64 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) (fabs.f64 x)))
(/.f64 (neg.f64 (.f64 (+.f64 x #s(approx (sqrt (+ ( x x) 1)) x)) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) (neg.f64 (-.f64 (fabs.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 (fabs.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) (fabs.f64 x)) (*.f64 x x))))
(/.f64 (.f64 (+.f64 x #s(approx (sqrt (+ ( x x) 1)) x)) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) (-.f64 (fabs.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 (fabs.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) (fabs.f64 x)))))
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ (* x x) 1)) x) (-.f64 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f64 x)) (*.f64 x x)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(approx (sqrt (+ (* x x) 1)) x))
(fma.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 x)) #s(approx (sqrt (+ (* x x) 1)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))
(-.f64 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) x))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))))
(+.f64 (/.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ (* x x) 1)) x) (-.f64 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f64 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) (fabs.f64 x)) (*.f64 x x))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) x) (fabs.f64 x))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (fabs.f64 x))) x)
(-.f64 (log.f64 (-.f64 (.f64 x x) (pow.f64 #s(approx (sqrt (+ ( x x) 1)) (neg.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (fabs.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (fabs.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 #s(approx (sqrt (+ ( x x) 1)) (neg.f64 x)) (fabs.f64 x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 #s(approx (sqrt (+ ( x x) 1)) (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (fabs.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 #s(approx (sqrt (+ ( x x) 1)) (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (-.f64 (.f64 x x) (.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (fabs.f64 x)))))
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (fabs.f64 x)) (*.f64 x x)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
(fma.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 x)) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ ( x x) 1)) (neg.f64 x)))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))))
(+.f64 (/.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (fabs.f64 x)) (.f64 x x))) (/.f64 (pow.f64 #s(approx (sqrt (+ ( x x) 1)) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (fabs.f64 x)) (*.f64 x x))))
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) (fabs.f64 x))
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))
(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
(asinh.f64 (fabs.f64 x))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (.f64 x x) (.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 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)) (fabs.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (cosh.f64 (asinh.f64 x)))
(fma.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 x)) (cosh.f64 (asinh.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cosh.f64 (asinh.f64 x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))))
(+.f64 (/.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)) (.f64 x x))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 (asinh.f64 x)) (-.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x)) (.f64 x x))))
(+.f64 (cosh.f64 (asinh.f64 x)) (fabs.f64 x))
(+.f64 (fabs.f64 x) (cosh.f64 (asinh.f64 x)))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (neg.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)))
(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 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 x))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/2 binary64)))

eval21.0ms (0.6%)

Memory: 16.3MiB live, 61.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 208 to 632 computations (80.3% saved)

prune6.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	149	5	154

Accuracy

100.0%

Counts

154 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
✓	30.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
✓	25.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
✓	8.8%	(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
✓	99.8%	(copysign.f64 (asinh.f64 (fabs.f64 x)) x)

Compiler

Compiled 130 to 77 computations (40.8% saved)

regimes5.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)

Outputs
(copysign.f64 (asinh.f64 (fabs.f64 x)) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
99.8%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)

Outputs
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)

Calls

2 calls:

1.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
1.0ms	x

Results

Accuracy	Segments	Branch
8.8%	1	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)`
8.8%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify108.0ms (2.8%)

Memory

-43.1MiB live, 62.2MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	23	19
2	50	19
3	85	19
4	154	19
5	400	19
6	3051	19
7	7186	19

Stop Event

1×	node limit

Calls

Call 1

Inputs
(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)

Outputs
(copysign.f64 (asinh.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)

derivations55.0ms (1.4%)

Memory

-4.7MiB live, 38.5MiB allocated; 8ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 19 to 13 computations (31.6% saved)

preprocess26.0ms (0.7%)

Memory: 7.8MiB live, 50.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 102 to 64 computations (37.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (42.1%)

explain255.0ms (6.6%)

preprocess199.0ms (5.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify211.0ms (5.5%)

localize87.0ms (2.3%)

series7.0ms (0.2%)

simplify159.0ms (4.1%)

rewrite75.0ms (1.9%)

eval20.0ms (0.5%)

prune4.0ms (0.1%)

simplify358.0ms (9.3%)

localize173.0ms (4.5%)

series135.0ms (3.5%)

simplify261.0ms (6.8%)

rewrite62.0ms (1.6%)

eval21.0ms (0.6%)

prune6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

simplify108.0ms (2.8%)

derivations55.0ms (1.4%)

preprocess26.0ms (0.7%)

end0.0ms (0%)

Profiling