Metrics for Hyperbolic arcsine

start0.0ms (0%)

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

analyze109.0ms (3.2%)

Memory

-6.3MiB live, 135.1MiB allocated; 61ms 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)

sample2.3s (67.5%)

Memory

49.9MiB live, 3 298.0MiB allocated; 671ms collecting garbage

Samples

968.0ms	1 703×	2	valid
746.0ms	4 429×	1	valid
153.0ms	2 124×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-log: 932.0ms (58.9% of total)

ival-hypot: 459.0ms (29% of total)

adjust: 136.0ms (8.6% of total)

ival-add!: 55.0ms (3.5% of total)

Bogosity

preprocess52.0ms (1.5%)

Memory

2.6MiB live, 49.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	55	7
2	127	7
3	336	7
4	2101	7

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.9%	(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

14.5MiB live, 14.5MiB 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)
2.0ms	x	@	-inf	((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
2.0ms	x	@	0	((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

rewrite289.0ms (8.4%)

Memory

-23.5MiB live, 293.9MiB allocated; 184ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	864
0	179	628
1	1321	616
0	8144	580

Stop Event

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

Counts

44 → 136

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

eval18.0ms (0.5%)

Memory: -16.7MiB live, 30.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 310 to 607 computations (53.7% saved)

prune4.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	126	5	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	5	132

Accuracy

100.0%

Counts

132 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
▶	51.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
▶	99.8%	(asinh.f64 x)
▶	49.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
▶	51.1%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Compiler

Compiled 84 to 84 computations (0% saved)

series7.0ms (0.2%)

Memory

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

Counts

16 → 31

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 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 (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
#s(literal 1 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 (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#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))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((asinh x) x (log (+ x (sqrt (+ (* x x) 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 (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1)
2.0ms	x	@	-inf	((asinh x) x (log (+ x (sqrt (+ (* x x) 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 (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1)
2.0ms	x	@	0	((asinh x) x (log (+ x (sqrt (+ (* x x) 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 (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1)

Time

Variable

Point

Expression

3.0ms

inf

((asinh x) x (log (+ x (sqrt (+ (* x x) 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 (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1)

2.0ms

-inf

((asinh x) x (log (+ x (sqrt (+ (* x x) 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 (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1)

2.0ms

((asinh x) x (log (+ x (sqrt (+ (* x x) 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 (log (+ x (sqrt (+ (* x x) 1)))) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1)

rewrite156.0ms (4.5%)

Memory

13.4MiB live, 202.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	693
0	171	581
1	1171	569
0	8175	551

Stop Event

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

Counts

47 → 116

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 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 (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
#s(literal 1 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 (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#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))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))

Outputs
(asinh.f64 x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (log.f64 (fma.f64 (.f64 x x) x (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))) (log.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 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (+.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(-.f64 x (neg.f64 x))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 (.f64 x x) (.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) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1/2 binary64))))
(/.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)
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))))) (-.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x))) (-.f64 x (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)))))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) (.f64 x (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(+.f64 x (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (neg.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))))))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (/.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))))) (/.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal -1/6 binary64)
#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 (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)) (.f64 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 #s(literal 1 binary64) x))
#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 (+ (* (* x x) -1/6) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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 (log.f64 (+.f64 x x)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (.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 1/2 binary64) (.f64 x x)) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))) x))
#s(approx (+ x (sqrt (+ (* x x) 1))) (.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.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 (+.f64 (log.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 5/96 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x)))
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) (/.f64 #s(literal 5/128 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))) x)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (neg.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) x))))

eval12.0ms (0.3%)

Memory: -28.1MiB live, 18.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 075 to 485 computations (54.9% saved)

prune3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	97	6	103

Accuracy

100.0%

Counts

103 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	51.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓	99.8%	(asinh.f64 x)
▶	49.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 x (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
✓	49.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
✓	51.1%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Compiler

Compiled 55 to 55 computations (0% saved)

series5.0ms (0.1%)

Memory

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

Counts

7 → 17

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((log (+ x (sqrt (+ (* x x) 1)))) (+ x (* (* (* x x) -1/6) x)) x (* (* (* x x) -1/6) x) (* (* x x) -1/6) (* x x) -1/6)
2.0ms	x	@	inf	((log (+ x (sqrt (+ (* x x) 1)))) (+ x (* (* (* x x) -1/6) x)) x (* (* (* x x) -1/6) x) (* (* x x) -1/6) (* x x) -1/6)
1.0ms	x	@	0	((log (+ x (sqrt (+ (* x x) 1)))) (+ x (* (* (* x x) -1/6) x)) x (* (* (* x x) -1/6) x) (* (* x x) -1/6) (* x x) -1/6)

Time

Variable

Point

Expression

2.0ms

-inf

((log (+ x (sqrt (+ (* x x) 1)))) (+ x (* (* (* x x) -1/6) x)) x (* (* (* x x) -1/6) x) (* (* x x) -1/6) (* x x) -1/6)

2.0ms

inf

((log (+ x (sqrt (+ (* x x) 1)))) (+ x (* (* (* x x) -1/6) x)) x (* (* (* x x) -1/6) x) (* (* x x) -1/6) (* x x) -1/6)

1.0ms

((log (+ x (sqrt (+ (* x x) 1)))) (+ x (* (* (* x x) -1/6) x)) x (* (* (* x x) -1/6) x) (* (* x x) -1/6) (* x x) -1/6)

rewrite130.0ms (3.8%)

Memory

5.6MiB live, 191.0MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	438
0	102	313
1	703	293
0	8268	281

Stop Event

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

Counts

24 → 95

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x))) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) x)) x)
(.f64 (/.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) x) x)
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) x)))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x) (.f64 x (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)))) (neg.f64 (-.f64 x (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (-.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x))) (-.f64 x (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (-.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) x))) (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64)))))
(neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) x))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x))) (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)) (-.f64 x (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))
(-.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (neg.f64 x))
(-.f64 x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) x)))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64)) (fma.f64 x x (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (-.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x)))))
(+.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(+.f64 x (neg.f64 (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))
(+.f64 x (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
x
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (/.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 x (/.f64 (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(neg.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal -1/6 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 (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)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (* (* x x) -1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (* (* x x) -1/6) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 x #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.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 (log.f64 (.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -5/96 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.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 (+ x (* (* (* x x) -1/6) x)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#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 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.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))))))
#s(approx (+ x (* (* (* x x) -1/6) x)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))

eval8.0ms (0.2%)

Memory: 23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 839 to 413 computations (50.8% saved)

prune7.0ms (0.2%)

Memory

-45.1MiB live, 9.0MiB allocated; 6ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	85	5	90

Accuracy

100.0%

Counts

90 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	51.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓	99.8%	(asinh.f64 x)
▶	49.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x))
✓	51.1%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Compiler

Compiled 41 to 41 computations (0% saved)

series4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

6 → 17

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) -1/6) x) x) (* (* x x) -1/6) (* x x) x -1/6)
1.0ms	x	@	inf	((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) -1/6) x) x) (* (* x x) -1/6) (* x x) x -1/6)
1.0ms	x	@	0	((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) -1/6) x) x) (* (* x x) -1/6) (* x x) x -1/6)

Time

Variable

Point

Expression

1.0ms

-inf

((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) -1/6) x) x) (* (* x x) -1/6) (* x x) x -1/6)

1.0ms

inf

((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) -1/6) x) x) (* (* x x) -1/6) (* x x) x -1/6)

1.0ms

((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) -1/6) x) x) (* (* x x) -1/6) (* x x) x -1/6)

rewrite143.0ms (4.2%)

Memory

32.9MiB live, 220.8MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	428
0	100	302
1	696	282
0	8257	275

Stop Event

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

Counts

23 → 94

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x))) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x))) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x) (.f64 x (-.f64 x (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x))) (-.f64 x (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)) (.f64 x (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x) (fma.f64 x x (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x) (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x) (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) x) (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x) (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64)) (.f64 (.f64 x x) x))))
(neg.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x)))
(-.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (neg.f64 x))
(-.f64 x (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
(-.f64 x (.f64 (.f64 (neg.f64 x) x) (*.f64 #s(literal -1/6 binary64) x)))
(-.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 x (neg.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x) (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x))))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x) (.f64 x (-.f64 x (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))))
(+.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(+.f64 x (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(.f64 (/.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 x (/.f64 (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(neg.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal -1/6 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 (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)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (* x x) -1/6) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 x #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (/.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 (log.f64 (.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -5/96 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x 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 (+ (* (* (* x x) -1/6) x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (+ (* (* (* x x) -1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#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 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.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 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x))))))
#s(approx (+ (* (* (* x x) -1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))

eval17.0ms (0.5%)

Memory: -15.8MiB live, 32.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 836 to 373 computations (55.4% saved)

prune7.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	86	5	91

Accuracy

100.0%

Counts

91 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.0%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)))
✓	51.1%	(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)))
✓	99.8%	(asinh.f64 x)
✓	49.0%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x))
✓	51.1%	#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)

Compiler

Compiled 90 to 73 computations (18.9% saved)

regimes15.0ms (0.4%)

Memory

-19.5MiB live, 27.5MiB allocated; 1ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(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)))
#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)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x))
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 x (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Outputs
(asinh.f64 x)

Calls

3 calls:

6.0ms	x
4.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
4.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

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

Compiler

Compiled 14 to 14 computations (0% saved)

regimes7.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x)
(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
98.3%	2	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
98.3%	2	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
98.3%	2	`x`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB 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:

2.0ms	x
2.0ms	(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
51.1%	1	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
51.1%	1	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
51.1%	1	`x`

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch9.0ms (0.3%)

Memory

-30.1MiB live, 16.9MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.5596019916067639	5.625670632166427

Samples

5.0ms

96×

valid

Compiler

Compiled 114 to 123 computations (-7.9% saved)

Precisions

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

ival-hypot: 2.0ms (72.5% of total)

ival-log: 1.0ms (36.2% of total)

adjust: 0.0ms (0% of total)

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

derivations66.0ms (1.9%)

Memory

-15.7MiB live, 81.5MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 19 to 15 computations (21.1% saved)

preprocess33.0ms (1%)

Memory: 19.1MiB live, 65.6MiB allocated; 3ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 100 to 84 computations (16% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze109.0ms (3.2%)

sample2.3s (67.5%)

preprocess52.0ms (1.5%)

series5.0ms (0.2%)

rewrite289.0ms (8.4%)

eval18.0ms (0.5%)

prune4.0ms (0.1%)

series7.0ms (0.2%)

rewrite156.0ms (4.5%)

eval12.0ms (0.3%)

prune3.0ms (0.1%)

series5.0ms (0.1%)

rewrite130.0ms (3.8%)

eval8.0ms (0.2%)

prune7.0ms (0.2%)

series4.0ms (0.1%)

rewrite143.0ms (4.2%)

eval17.0ms (0.5%)

prune7.0ms (0.2%)

regimes15.0ms (0.4%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch9.0ms (0.3%)

derivations66.0ms (1.9%)

preprocess33.0ms (1%)

end0.0ms (0%)

Profiling