Metrics for Hyperbolic arcsine

start0.0ms (0%)

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

analyze68.0ms (2%)

Memory

26.4MiB live, 117.2MiB allocated; 14ms 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
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample2.4s (71.2%)

Memory

41.2MiB live, 2 891.2MiB allocated; 1.1s collecting garbage

Samples

1.2s	4 485×	1	valid
830.0ms	1 675×	2	valid
115.0ms	2 096×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-log: 1.2s (66.8% of total)

ival-hypot: 396.0ms (21.2% of total)

adjust: 160.0ms (8.6% of total)

ival-add!: 63.0ms (3.4% of total)

Bogosity

preprocess82.0ms (2.4%)

Memory

-47.1MiB live, 51.9MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	59	7
2	154	7
3	426	7
4	2264	7

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.4%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Symmetry

(negabs x)

Compiler

Compiled 14 to 14 computations (0% saved)

series5.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

7 → 37

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
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#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 (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#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 (+ (* 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 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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) 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
2.0ms	x	@	inf	((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
1.0ms	x	@	-inf	((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
1.0ms	x	@	0	((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

rewrite158.0ms (4.7%)

Memory

32.5MiB live, 217.3MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	864
0	179	628
1	624	607
2	2868	558
0	8095	511

Stop Event

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

Counts

44 → 186

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)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#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 (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#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 (+ (* 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 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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) 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
(asinh.f64 x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(pow.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 1/2 binary64))
(neg.f64 (+.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sinh.f64 (asinh.f64 x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)
(fma.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))) (sinh.f64 (asinh.f64 x)))
(fma.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))) x)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) (sinh.f64 (asinh.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 x) (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (sinh.f64 (asinh.f64 x)))
(fma.f64 (fabs.f64 x) (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(sqrt.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
(-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fabs.f64 (-.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fabs.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x))
(fabs.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(exp.f64 (asinh.f64 x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sinh.f64 (asinh.f64 x)))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(+.f64 x (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
x
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(.f64 (fabs.f64 x) (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (exp.f64 (neg.f64 (neg.f64 (asinh.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (fabs.f64 x))) (exp.f64 (neg.f64 (asinh.f64 (fabs.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (neg.f64 x))) (exp.f64 (neg.f64 (asinh.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 (asinh.f64 x))))
(cosh.f64 (neg.f64 (asinh.f64 (fabs.f64 x))))
(cosh.f64 (neg.f64 (asinh.f64 (neg.f64 x))))
(cosh.f64 (asinh.f64 (neg.f64 (fabs.f64 x))))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(.f64 x (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(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 (sqrt.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 1 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 4 binary64))
(neg.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (/.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
(neg.f64 (fma.f64 (.f64 x x) #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 x) x) (*.f64 x x))))
(neg.f64 (fma.f64 (neg.f64 x) x (/.f64 (.f64 (neg.f64 x) x) (.f64 x x))))
(neg.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x x))))
(neg.f64 (fma.f64 (.f64 x x) #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x x))))
(neg.f64 (fma.f64 (neg.f64 x) x (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (*.f64 x x))))
(neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(neg.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal -1 binary64) (fabs.f64 x)) #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 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 x)) #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 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #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 (neg.f64 x) #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (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 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) #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 x x) (/.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(-.f64 (.f64 x x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 x x)))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fabs.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.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)) x)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 x x)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 x x)))
(fabs.f64 (.f64 (.f64 x x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (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 #s(literal 1 binary64)))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (+.f64 x x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -5/96 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)) (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) #s(literal -2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) (/.f64 #s(literal 5/96 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) 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))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 5/128 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))))) x))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 (+.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
#s(approx (sqrt (+ (* x x) 1)) (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) #s(literal -1 binary64))) x))

eval23.0ms (0.7%)

Memory: -0.0MiB live, 46.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 536 to 793 computations (48.4% saved)

prune9.0ms (0.3%)

Memory

-30.6MiB live, 16.3MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	175	6	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	6	182

Accuracy

100.0%

Counts

182 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(log.f64 (fma.f64 (fabs.f64 x) (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) x))
▶	0.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶	19.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
▶	51.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
▶	99.9%	(asinh.f64 x)
▶	51.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Compiler

Compiled 98 to 98 computations (0% saved)

series4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

14 → 25

Calls

Call 1

Inputs
(asinh.f64 x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)

Outputs
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh 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 (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) -1 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2)
1.0ms	x	@	0	((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) -1 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2)
1.0ms	x	@	inf	((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) -1 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2)

Time

Variable

Point

Expression

1.0ms

-inf

((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) -1 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2)

1.0ms

((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) -1 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2)

1.0ms

inf

((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) -1 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2)

rewrite147.0ms (4.4%)

Memory

0.4MiB live, 191.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	589
0	153	487
1	533	464
2	2370	420
0	8548	386

Stop Event

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

Counts

39 → 81

Calls

Call 1

Inputs
(asinh.f64 x)
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(+.f64 x x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(approx (asinh x) #s(hole binary64 x))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh 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 (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))

Outputs
(asinh.f64 x)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
x
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.f64 (fabs.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(*.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(neg.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (neg.f64 x) x)))
(neg.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 #s(literal -1 binary64) x) x)))
(neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x (/.f64 (neg.f64 x) x))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x (neg.f64 (/.f64 (neg.f64 x) x)))
(+.f64 x (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x)))
(+.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)
(log.f64 (fabs.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (fma.f64 #s(literal -1 binary64) x (neg.f64 x)))
(neg.f64 (-.f64 (neg.f64 x) x))
(-.f64 x (neg.f64 (neg.f64 (neg.f64 x))))
(-.f64 x (*.f64 #s(literal -1 binary64) x))
(-.f64 x (neg.f64 x))
(+.f64 x (neg.f64 (neg.f64 x)))
(+.f64 x x)
(log.f64 (fabs.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) x)
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
#s(literal -1/2 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (fma.f64 #s(literal 3/40 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (.f64 x x) #s(literal 3/40 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (+.f64 x x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal 5/96 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))) (log.f64 (+.f64 x x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)) (.f64 x (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) #s(literal 2 binary64))) x))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (+.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (log.f64 (+.f64 x x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal 5/96 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (log.f64 (+.f64 x x))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (*.f64 x 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))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 5/128 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))))) x))

eval6.0ms (0.2%)

Memory: 9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 514 to 271 computations (47.3% saved)

prune3.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	65	6	71

Accuracy

100.0%

Counts

71 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(log.f64 (fma.f64 (fabs.f64 x) (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) x))
✓	0.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	19.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
✓	51.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓	99.9%	(asinh.f64 x)
✓	51.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Compiler

Compiled 49 to 49 computations (0% saved)

series15.0ms (0.4%)

Memory

-44.1MiB live, 18.7MiB allocated; 14ms collecting garbage

Counts

10 → 36

Calls

Call 1

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

Outputs
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (* -1 (log x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (+ (* -1 (log x)) (/ (* (pow x 2) (+ 1 (* 1/2 (fabs x)))) (fabs x))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (+ (* -1 (log x)) (* (pow x 2) (+ 1/2 (+ (* 1/24 (* (pow x 2) (- (* -12 (/ (pow (+ 1 (* 1/2 (fabs x))) 2) (pow (fabs x) 2))) 3))) (/ 1 (fabs x)))))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (+ (* -1 (log x)) (* (pow x 2) (+ 1/2 (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ 45 (+ (* 90 (/ (+ 1 (* 1/2 (fabs x))) (fabs x))) (* 240 (/ (pow (+ 1 (* 1/2 (fabs x))) 3) (pow (fabs x) 3))))))) (* 1/24 (- (* -12 (/ (pow (+ 1 (* 1/2 (fabs x))) 2) (pow (fabs x) 2))) 3)))) (/ 1 (fabs x)))))))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (/ (fabs x) x)))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (/ (+ (fabs x) (* (pow x 2) (+ 1 (* 1/2 (fabs x))))) x)))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (/ (+ (fabs x) (* (pow x 2) (+ 1 (+ (* -1/8 (* (pow x 2) (fabs x))) (* 1/2 (fabs x)))))) x)))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (/ (+ (fabs x) (* (pow x 2) (+ 1 (+ (* 1/2 (fabs x)) (* (pow x 2) (+ (* -1/8 (fabs x)) (* 1/16 (* (pow x 2) (fabs x))))))))) x)))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 (/ (+ 1 (* 1/2 (pow x 2))) x)))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) x)))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) x)))
#s(approx (- (/ 1 (* x x)) -1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) -1) #s(hole binary64 (/ (+ 1 (pow x 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/6 (/ (+ (* 2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (/ (fabs x) x))))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (fabs x) (pow x 3))) (/ (fabs x) x))))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (fabs x) (pow x 5))) (+ (* 1/2 (/ (fabs x) (pow x 3))) (/ (fabs x) x)))))))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 1))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
#s(approx (- (/ 1 (* x x)) -1) #s(hole binary64 (+ 1 (/ 1 (pow x 2)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/6 (/ (+ (* -3 (fabs x)) (* -2 (pow (fabs x) 3))) x))) x))) x))))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ (fabs x) (pow x 2)))) x)) 1)))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (fabs x) (+ (* -1/8 (/ (fabs x) (pow x 4))) (* 1/2 (/ (fabs x) (pow x 2))))) x)) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) (fabs x) x (sqrt (- (/ 1 (* x x)) -1)) (- (/ 1 (* x x)) -1) (/ 1 (* x x)) 1 (* x x) -1)
3.0ms	x	@	0	((log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) (fabs x) x (sqrt (- (/ 1 (* x x)) -1)) (- (/ 1 (* x x)) -1) (/ 1 (* x x)) 1 (* x x) -1)
1.0ms	x	@	inf	((log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) (fabs x) x (sqrt (- (/ 1 (* x x)) -1)) (- (/ 1 (* x x)) -1) (/ 1 (* x x)) 1 (* x x) -1)

Time

Variable

Point

Expression

10.0ms

-inf

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

3.0ms

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

1.0ms

inf

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

rewrite70.0ms (2.1%)

Memory

22.8MiB live, 68.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	1095
0	255	960
0	961	915

Stop Event

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

Counts

46 → 73

Calls

Call 1

Inputs
(log.f64 (fma.f64 (fabs.f64 x) (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) x))
(fma.f64 (fabs.f64 x) (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(fabs.f64 x)
x
(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
#s(literal -1 binary64)
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (* -1 (log x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (+ (* -1 (log x)) (/ (* (pow x 2) (+ 1 (* 1/2 (fabs x)))) (fabs x))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (+ (* -1 (log x)) (* (pow x 2) (+ 1/2 (+ (* 1/24 (* (pow x 2) (- (* -12 (/ (pow (+ 1 (* 1/2 (fabs x))) 2) (pow (fabs x) 2))) 3))) (/ 1 (fabs x)))))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (+ (* -1 (log x)) (* (pow x 2) (+ 1/2 (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ 45 (+ (* 90 (/ (+ 1 (* 1/2 (fabs x))) (fabs x))) (* 240 (/ (pow (+ 1 (* 1/2 (fabs x))) 3) (pow (fabs x) 3))))))) (* 1/24 (- (* -12 (/ (pow (+ 1 (* 1/2 (fabs x))) 2) (pow (fabs x) 2))) 3)))) (/ 1 (fabs x)))))))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (/ (fabs x) x)))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (/ (+ (fabs x) (* (pow x 2) (+ 1 (* 1/2 (fabs x))))) x)))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (/ (+ (fabs x) (* (pow x 2) (+ 1 (+ (* -1/8 (* (pow x 2) (fabs x))) (* 1/2 (fabs x)))))) x)))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (/ (+ (fabs x) (* (pow x 2) (+ 1 (+ (* 1/2 (fabs x)) (* (pow x 2) (+ (* -1/8 (fabs x)) (* 1/16 (* (pow x 2) (fabs x))))))))) x)))
#s(approx (fabs x) #s(hole binary64 (fabs x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 (/ (+ 1 (* 1/2 (pow x 2))) x)))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) x)))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) x)))
#s(approx (- (/ 1 (* x x)) -1) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (/ 1 (* x x)) -1) #s(hole binary64 (/ (+ 1 (pow x 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/6 (/ (+ (* 2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (/ (fabs x) x))))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (fabs x) (pow x 3))) (/ (fabs x) x))))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (* x (+ 1 (+ (* -1/8 (/ (fabs x) (pow x 5))) (+ (* 1/2 (/ (fabs x) (pow x 3))) (/ (fabs x) x)))))))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 1))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(hole binary64 (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
#s(approx (- (/ 1 (* x x)) -1) #s(hole binary64 (+ 1 (/ 1 (pow x 2)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/6 (/ (+ (* -3 (fabs x)) (* -2 (pow (fabs x) 3))) x))) x))) x))))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ (fabs x) (pow x 2)))) x)) 1)))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (fabs x) (+ (* -1/8 (/ (fabs x) (pow x 4))) (* 1/2 (/ (fabs x) (pow x 2))))) x)) 1)))))

Outputs
(log.f64 (fabs.f64 (fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (fabs.f64 x) x)))
(log.f64 (fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (fabs.f64 x) x))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (fabs.f64 x) x)
(fma.f64 (fabs.f64 x) (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) x)
(-.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))) (fabs.f64 x)) (neg.f64 x))
(+.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))) (fabs.f64 x)) x)
(+.f64 x (.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64))) (fabs.f64 x)))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
x
(pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(fabs.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
#s(literal -1 binary64)
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)) (neg.f64 (log.f64 x))) (log.f64 x)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (fma.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)) #s(literal -12 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 (log.f64 x))) (log.f64 x)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)) #s(literal 3 binary64)) #s(literal 240 binary64) (/.f64 (.f64 #s(literal 90 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 45 binary64)) (.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)) #s(literal -12 binary64) #s(literal -3 binary64)) #s(literal 1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 (log.f64 x))) (log.f64 x)))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) (/.f64 (fabs.f64 x) x))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x x) (fabs.f64 x)) x))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) (/.f64 (fma.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (fabs.f64 x))) #s(literal 1 binary64)) (.f64 x x) (fabs.f64 x)) x))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) (/.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (fabs.f64 x) (.f64 #s(literal -1/8 binary64) (fabs.f64 x))) (.f64 x x))) (.f64 x x) (fabs.f64 x)) x))
#s(approx (fabs x) (fabs.f64 x))
#s(approx x x)
#s(approx (sqrt (- (/ 1 (* x x)) -1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) (/.f64 (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)) x))
#s(approx (- (/ 1 (* x x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (* x x)) -1) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (neg.f64 (neg.f64 (log.f64 x))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 (fabs.f64 x) x)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 x x)) #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) x)) (neg.f64 (neg.f64 (log.f64 x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (fabs.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 3 binary64) (fabs.f64 x))) (.f64 (*.f64 x x) x)) #s(literal 1/6 binary64) (/.f64 (fabs.f64 x) x))) (neg.f64 (neg.f64 (log.f64 x)))))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) (*.f64 (+.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64)) x))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) (.f64 (+.f64 (fma.f64 (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) x)) #s(literal 1 binary64)) x))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) (.f64 (+.f64 (fma.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) x))) #s(literal 1 binary64)) x))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) #s(literal 1 binary64))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) (-.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)))))
#s(approx (sqrt (- (/ 1 (* x x)) -1)) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.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)))))
#s(approx (- (/ 1 (* x x)) -1) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 0 binary64)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fabs.f64 x) x)) #s(literal 0 binary64)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) x)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 0 binary64)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (fabs.f64 x)) (.f64 #s(literal -3 binary64) (fabs.f64 x))) x) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)) (neg.f64 (fabs.f64 x))) x)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 0 binary64)))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1 binary64)) x)))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fabs.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (fabs.f64 x)) x)) #s(literal 1 binary64)) x)))
#s(approx (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (*.f64 x x))) (fabs.f64 x)) x)) #s(literal 1 binary64)) x)))

eval8.0ms (0.2%)

Memory: 16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 805 to 379 computations (52.9% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	63	7	70

Accuracy

100.0%

Counts

70 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(log.f64 (fma.f64 (fabs.f64 x) (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) x))
✓	0.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	19.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
✓	51.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓	99.9%	(asinh.f64 x)
▶	16.9%	#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (neg.f64 (neg.f64 (log.f64 x))))
✓	51.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Compiler

Compiled 64 to 64 computations (0% saved)

series49.0ms (1.5%)

Memory

-23.0MiB live, 67.8MiB allocated; 7ms collecting garbage

Counts

5 → 17

Calls

Call 1

Inputs
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (neg.f64 (neg.f64 (log.f64 x))))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(log.f64 x)
x

Outputs
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (* -1 (log x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (+ (* -1 (log x)) (/ (* (pow x 2) (+ 1 (* 1/2 (fabs x)))) (fabs x))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (+ (* -1 (log x)) (* (pow x 2) (+ 1/2 (+ (* 1/24 (* (pow x 2) (- (* -12 (/ (pow (+ 1 (* 1/2 (fabs x))) 2) (pow (fabs x) 2))) 3))) (/ 1 (fabs x)))))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (+ (* -1 (log x)) (* (pow x 2) (+ 1/2 (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ 45 (+ (* 90 (/ (+ 1 (* 1/2 (fabs x))) (fabs x))) (* 240 (/ (pow (+ 1 (* 1/2 (fabs x))) 3) (pow (fabs x) 3))))))) (* 1/24 (- (* -12 (/ (pow (+ 1 (* 1/2 (fabs x))) 2) (pow (fabs x) 2))) 3)))) (/ 1 (fabs x)))))))))
#s(approx (neg (neg (log x))) #s(hole binary64 (log x)))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/6 (/ (+ (* 2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (/ (fabs x) x))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/6 (/ (+ (* -3 (fabs x)) (* -2 (pow (fabs x) 3))) x))) x))) x))))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))

Calls

3 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	((log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (neg (neg (log x))) (neg (log x)) (log x) x)
19.0ms	x	@	-inf	((log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (neg (neg (log x))) (neg (log x)) (log x) x)
6.0ms	x	@	inf	((log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (neg (neg (log x))) (neg (log x)) (log x) x)

Time

Variable

Point

Expression

24.0ms

((log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (neg (neg (log x))) (neg (log x)) (log x) x)

19.0ms

-inf

((log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (neg (neg (log x))) (neg (log x)) (log x) x)

6.0ms

inf

((log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (neg (neg (log x))) (neg (log x)) (log x) x)

rewrite51.0ms (1.5%)

Memory

-6.5MiB live, 43.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	576
0	142	516
0	560	483

Stop Event

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

Counts

22 → 38

Calls

Call 1

Inputs
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (neg.f64 (neg.f64 (log.f64 x))))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (* -1 (log x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (+ (* -1 (log x)) (/ (* (pow x 2) (+ 1 (* 1/2 (fabs x)))) (fabs x))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (+ (* -1 (log x)) (* (pow x 2) (+ 1/2 (+ (* 1/24 (* (pow x 2) (- (* -12 (/ (pow (+ 1 (* 1/2 (fabs x))) 2) (pow (fabs x) 2))) 3))) (/ 1 (fabs x)))))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log (fabs x)) (+ (* -1 (log x)) (* (pow x 2) (+ 1/2 (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ 45 (+ (* 90 (/ (+ 1 (* 1/2 (fabs x))) (fabs x))) (* 240 (/ (pow (+ 1 (* 1/2 (fabs x))) 3) (pow (fabs x) 3))))))) (* 1/24 (- (* -12 (/ (pow (+ 1 (* 1/2 (fabs x))) 2) (pow (fabs x) 2))) 3)))) (/ 1 (fabs x)))))))))
#s(approx (neg (neg (log x))) #s(hole binary64 (log x)))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (+ (* 1/6 (/ (+ (* 2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (/ (fabs x) x))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) x))) x))))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/6 (/ (+ (* -3 (fabs x)) (* -2 (pow (fabs x) 3))) x))) x))) x))))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))

Outputs
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (log.f64 x))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 (fabs.f64 (fabs.f64 x)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(log.f64 (fabs.f64 x))
(log.f64 x)
(*.f64 (log.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(neg.f64 (log.f64 x))
(log.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 (fabs.f64 (fabs.f64 x)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(log.f64 (fabs.f64 x))
(log.f64 x)
x
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (-.f64 (log.f64 x) (log.f64 x)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (-.f64 (log.f64 x) (log.f64 x)) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) (.f64 x x)) (fabs.f64 x))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (-.f64 (log.f64 x) (log.f64 x)) (.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)) #s(literal -12 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) (.f64 x x))))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (-.f64 (log.f64 x) (log.f64 x)) (.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)) #s(literal 3 binary64)) #s(literal 240 binary64) (/.f64 (.f64 #s(literal 90 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 45 binary64)) (.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (.f64 x x)) #s(literal -12 binary64) #s(literal -3 binary64)) #s(literal 1/24 binary64))) (.f64 x x) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) (*.f64 x x))))
#s(approx (neg (neg (log x))) (log.f64 x))
#s(approx (neg (log x)) (neg.f64 (log.f64 x)))
#s(approx x x)
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (log.f64 x))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 x x)) #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) x)) (log.f64 x)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (fabs.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 3 binary64) (fabs.f64 x))) (.f64 (*.f64 x x) x)) #s(literal 1/6 binary64) (/.f64 (fabs.f64 x) x))) (log.f64 x)))
#s(approx (neg (log x)) (neg.f64 (log.f64 x)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 0 binary64)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fabs.f64 x) x)) #s(literal 0 binary64)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) x)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 0 binary64)))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (fabs.f64 x)) (.f64 #s(literal -3 binary64) (fabs.f64 x))) x) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)) (neg.f64 (fabs.f64 x))) x)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 0 binary64)))
#s(approx (neg (log x)) (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 0 binary64))))

eval2.0ms (0.1%)

Memory: 4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 346 to 152 computations (56.1% saved)

prune3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	26	7	33

Accuracy

100.0%

Counts

33 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(log.f64 (fma.f64 (fabs.f64 x) (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) x))
✓	0.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	19.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
✓	51.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓	99.9%	(asinh.f64 x)
	16.9%	#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (log.f64 x))
✓	51.8%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Compiler

Compiled 122 to 107 computations (12.3% saved)

regimes8.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (log.f64 x))
#s(approx (log (+ (* (fabs x) (sqrt (- (/ 1 (* x x)) -1))) x)) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))))
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
(asinh.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (fma.f64 (fabs.f64 x) (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) x))

Outputs
(asinh.f64 x)

Calls

3 calls:

3.0ms	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
99.9%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
99.9%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.9%	1	`x`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes6.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x 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
99.1%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
99.1%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.1%	2	`x`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes6.0ms (0.2%)

Memory

-35.8MiB live, 11.0MiB allocated; 1ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
2.0ms	x
1.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
65.0%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
65.0%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
65.0%	2	`x`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.0%	2	`x`
65.0%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
65.0%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.8%	1	`x`
51.8%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
51.8%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch11.0ms (0.3%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.32406321390113574	15639.53616866019

Samples

6.0ms

128×

valid

Compiler

Compiled 148 to 161 computations (-8.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-hypot: 2.0ms (57.3% of total)

ival-log: 1.0ms (28.7% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.31864359392407055	10.350704538506292

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.31864359392407055	10.350704538506292

Compiler

Compiled 10 to 11 computations (-10% saved)

derivations158.0ms (4.7%)

Memory

-8.7MiB live, 83.4MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 50 to 39 computations (22% saved)

preprocess65.0ms (1.9%)

Memory: -7.4MiB live, 85.4MiB allocated; 16ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 237 to 204 computations (13.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze68.0ms (2%)

sample2.4s (71.2%)

preprocess82.0ms (2.4%)

series5.0ms (0.2%)

rewrite158.0ms (4.7%)

eval23.0ms (0.7%)

prune9.0ms (0.3%)

series4.0ms (0.1%)

rewrite147.0ms (4.4%)

eval6.0ms (0.2%)

prune3.0ms (0.1%)

series15.0ms (0.4%)

rewrite70.0ms (2.1%)

eval8.0ms (0.2%)

prune3.0ms (0.1%)

series49.0ms (1.5%)

rewrite51.0ms (1.5%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch11.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations158.0ms (4.7%)

preprocess65.0ms (1.9%)

end0.0ms (0%)

Profiling