Metrics for Hyperbolic sine

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.7s (57.4%)

Memory

43.5MiB live, 2 499.6MiB allocated; 611ms collecting garbage

Samples

752.0ms	1 707×	2	valid
371.0ms	2 360×	1	valid
310.0ms	4 189×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-exp: 868.0ms (71.7% of total)

adjust: 100.0ms (8.3% of total)

ival-div!: 98.0ms (8.1% of total)

ival-neg: 89.0ms (7.4% of total)

ival-sub!: 55.0ms (4.5% of total)

Bogosity

preprocess41.0ms (1.4%)

Memory

-11.0MiB live, 34.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	46	7
2	156	7
3	1291	7

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Symmetry

(negabs x)

Compiler

Compiled 14 to 14 computations (0% saved)

series3.0ms (0.1%)

Memory

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

Counts

7 → 23

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)
1.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)
1.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

Time

Variable

Point

Expression

1.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

1.0ms

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

1.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

rewrite160.0ms (5.4%)

Memory

33.9MiB live, 176.1MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	346
0	109	277
1	625	266
0	5290	244

Stop Event

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

Counts

30 → 86

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Outputs
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (.f64 (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 x)
(neg.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(-.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(-.f64 (+.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
x
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval9.0ms (0.3%)

Memory: -26.6MiB live, 18.9MiB allocated; 2ms collecting garbage
Compiler: Compiled 630 to 321 computations (49% saved)

prune2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	4	78

Accuracy

100.0%

Counts

78 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(/.f64 (-.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
▶	100.0%	(sinh.f64 x)
▶	86.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
▶	50.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 36 to 33 computations (8.3% saved)

series10.0ms (0.3%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Counts

18 → 33

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.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)
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 x)
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#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 (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (+ 1 (* x (- (* 1/8 x) 1/2)))))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#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) (+ 1/6 (/ 1 (pow x 2))))))
#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) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) #s(hole binary64 (* 1/2 (- (exp x) (pow (exp (* -1/2 x)) 2)))))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (- (exp x) (pow (exp (* -1/2 x)) 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (pow (exp (* -1/2 x)) 2)))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (exp (* -1/2 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (pow (exp -1) (/ x 2)) (exp -1) -1 (/ x 2) 2)
3.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (pow (exp -1) (/ x 2)) (exp -1) -1 (/ x 2) 2)
3.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (pow (exp -1) (/ x 2)) (exp -1) -1 (/ x 2) 2)

Time

Variable

Point

Expression

4.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (pow (exp -1) (/ x 2)) (exp -1) -1 (/ x 2) 2)

3.0ms

((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (pow (exp -1) (/ x 2)) (exp -1) -1 (/ x 2) 2)

3.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (sinh x) (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (pow (exp -1) (/ x 2)) (exp -1) -1 (/ x 2) 2)

rewrite229.0ms (7.7%)

Memory

-32.0MiB live, 163.5MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	699
0	174	541
1	902	436
0	7571	405

Stop Event

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

Counts

51 → 280

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.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)
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 x)
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#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 (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (+ 1 (* x (- (* 1/8 x) 1/2)))))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#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) (+ 1/6 (/ 1 (pow x 2))))))
#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) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) #s(hole binary64 (* 1/2 (- (exp x) (pow (exp (* -1/2 x)) 2)))))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) #s(hole binary64 (- (exp x) (pow (exp (* -1/2 x)) 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) #s(hole binary64 (pow (exp (* -1/2 x)) 2)))
#s(approx (pow (exp -1) (/ x 2)) #s(hole binary64 (exp (* -1/2 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))

Outputs
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) x)
x
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (.f64 x x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x))
(.f64 (.f64 (.f64 x x) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(.f64 (.f64 x x) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.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 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (-.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x x) x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x))) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) x)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)))) (-.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) (.f64 x x)) (-.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 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 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) x)
(-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (*.f64 x x) x)))
(-.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(-.f64 x (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
(+.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x)
(+.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
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(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (cosh.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (neg.f64 x))
(+.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (cosh.f64 (.f64 #s(literal -1/2 binary64) x))) (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sinh.f64 (.f64 #s(literal -1/2 binary64) x))))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (exp.f64 (neg.f64 x)))) (.f64 (sinh.f64 (.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))) (neg.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))))
(.f64 (fabs.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))) (fabs.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))))
(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) x)
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 4 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 x #s(literal 4 binary64)) (/.f64 x #s(literal 4 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 #s(literal -1/2 binary64) x)) (cosh.f64 (.f64 #s(literal -1/2 binary64) x))) (.f64 (sinh.f64 (.f64 #s(literal -1/2 binary64) x)) (sinh.f64 (.f64 #s(literal -1/2 binary64) x)))) (-.f64 (cosh.f64 (.f64 #s(literal -1/2 binary64) x)) (sinh.f64 (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 #s(literal -1/2 binary64) x)) (cosh.f64 (.f64 #s(literal -1/2 binary64) x)) (-.f64 (.f64 (sinh.f64 (.f64 #s(literal -1/2 binary64) x)) (sinh.f64 (.f64 #s(literal -1/2 binary64) x))) (.f64 (cosh.f64 (.f64 #s(literal -1/2 binary64) x)) (sinh.f64 (.f64 #s(literal -1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 (sqrt.f64 (exp.f64 (neg.f64 x)))))
(fabs.f64 (sqrt.f64 (exp.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) x))
(exp.f64 (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (sinh.f64 (.f64 #s(literal -1/2 binary64) x)) (cosh.f64 (.f64 #s(literal -1/2 binary64) x)))
(+.f64 (cosh.f64 (.f64 #s(literal -1/2 binary64) x)) (sinh.f64 (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64))) (.f64 (sinh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal -1 binary64)))) (-.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64)) (-.f64 (.f64 (sinh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal -1 binary64))) (.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))
(-.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal 1 binary64)))
(exp.f64 #s(literal -1 binary64))
(+.f64 (sinh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64)))
(+.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal -1 binary64)))
#s(literal -1 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) x)
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64))
#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 (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (+.f64 x x))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (exp -1) (/ x 2)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (pow (exp -1) (/ x 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (exp -1) (/ x 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 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 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2))) (exp.f64 (neg.f64 x)))
#s(approx (pow (exp -1) (/ x 2)) (sqrt.f64 (exp.f64 (neg.f64 x))))
#s(approx (/ (- (exp x) (* (pow (exp -1) (/ x 2)) (pow (exp -1) (/ x 2)))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))

eval29.0ms (1%)

Memory: 6.1MiB live, 51.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 510 to 1 054 computations (58% saved)

prune7.0ms (0.3%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	243	5	248
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	245	7	252

Accuracy

100.0%

Counts

252 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(/.f64 (-.f64 (exp.f64 x) (.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))))) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)
▶	86.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
▶	86.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
▶	42.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
▶	42.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
✓	50.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 170 to 164 computations (3.5% saved)

series15.0ms (0.5%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Counts

32 → 51

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 x x)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #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 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 (exp.f64 x) (.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))))
(exp.f64 x)
(.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))
#s(literal -1 binary64)
(/.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 2 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (* (* x x) x) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) #s(hole binary64 (+ 1 (* -3/4 x))))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) #s(hole binary64 (+ 1 (* x (- (* 9/32 x) 3/4)))))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 9/32 (* -9/128 x))) 3/4)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* x (- (* 1/8 x) 1/2)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (exp (* -1 (/ x 4))) #s(hole binary64 (+ 1 (* -1/4 x))))
#s(approx (exp (* -1 (/ x 4))) #s(hole binary64 (+ 1 (* x (- (* 1/32 x) 1/4)))))
#s(approx (exp (* -1 (/ x 4))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/32 (* -1/384 x))) 1/4)))))
#s(approx (* -1 (/ x 4)) #s(hole binary64 (* -1/4 x)))
#s(approx (/ x 4) #s(hole binary64 (* 1/4 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) #s(hole binary64 (* 1/2 (- (exp x) (* (sqrt (exp (neg x))) (pow (exp (* -1/4 x)) 2))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) #s(hole binary64 (- (exp x) (* (sqrt (exp (neg x))) (pow (exp (* -1/4 x)) 2)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) #s(hole binary64 (* (sqrt (exp (neg x))) (pow (exp (* -1/4 x)) 2))))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) #s(hole binary64 (* (sqrt (exp (neg x))) (exp (* -1/4 x)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (sqrt (exp (neg x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (exp (* -1 (/ x 4))) #s(hole binary64 (exp (* -1/4 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) #s(hole binary64 (* 1/2 (- (exp x) (* (sqrt (exp (* -1 x))) (pow (exp (* -1/4 x)) 2))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) #s(hole binary64 (- (exp x) (* (sqrt (exp (* -1 x))) (pow (exp (* -1/4 x)) 2)))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) #s(hole binary64 (* (sqrt (exp (* -1 x))) (pow (exp (* -1/4 x)) 2))))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) #s(hole binary64 (* (sqrt (exp (* -1 x))) (exp (* -1/4 x)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (sqrt (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) 1 (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (exp (* -1 (/ x 4))) (* -1 (/ x 4)) -1 (/ x 4) 4 2)
4.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) 1 (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (exp (* -1 (/ x 4))) (* -1 (/ x 4)) -1 (/ x 4) 4 2)
3.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) 1 (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (exp (* -1 (/ x 4))) (* -1 (/ x 4)) -1 (/ x 4) 4 2)

Time

Variable

Point

Expression

6.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) 1 (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (exp (* -1 (/ x 4))) (* -1 (/ x 4)) -1 (/ x 4) 4 2)

4.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) 1 (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (exp (* -1 (/ x 4))) (* -1 (/ x 4)) -1 (/ x 4) 4 2)

3.0ms

((/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* 1/6 x) x) 1) x) (+ (* (* 1/6 x) x) 1) 1 (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (exp (* -1 (/ x 4))) (* -1 (/ x 4)) -1 (/ x 4) 4 2)

rewrite157.0ms (5.3%)

Memory

-20.6MiB live, 208.3MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	1242
0	269	1060
1	1246	763
0	8848	711

Stop Event

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

Counts

83 → 419

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 x x)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #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 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 (exp.f64 x) (.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))))
(exp.f64 x)
(.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))
#s(literal -1 binary64)
(/.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (* (* x x) x) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) #s(hole binary64 (+ 1 (* -3/4 x))))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) #s(hole binary64 (+ 1 (* x (- (* 9/32 x) 3/4)))))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 9/32 (* -9/128 x))) 3/4)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* x (- (* 1/8 x) 1/2)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (exp (* -1 (/ x 4))) #s(hole binary64 (+ 1 (* -1/4 x))))
#s(approx (exp (* -1 (/ x 4))) #s(hole binary64 (+ 1 (* x (- (* 1/32 x) 1/4)))))
#s(approx (exp (* -1 (/ x 4))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/32 (* -1/384 x))) 1/4)))))
#s(approx (* -1 (/ x 4)) #s(hole binary64 (* -1/4 x)))
#s(approx (/ x 4) #s(hole binary64 (* 1/4 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) #s(hole binary64 (* 1/2 (- (exp x) (* (sqrt (exp (neg x))) (pow (exp (* -1/4 x)) 2))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) #s(hole binary64 (- (exp x) (* (sqrt (exp (neg x))) (pow (exp (* -1/4 x)) 2)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) #s(hole binary64 (* (sqrt (exp (neg x))) (pow (exp (* -1/4 x)) 2))))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) #s(hole binary64 (* (sqrt (exp (neg x))) (exp (* -1/4 x)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (sqrt (exp (neg x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (exp (* -1 (/ x 4))) #s(hole binary64 (exp (* -1/4 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) #s(hole binary64 (* 1/2 (- (exp x) (* (sqrt (exp (* -1 x))) (pow (exp (* -1/4 x)) 2))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) #s(hole binary64 (- (exp x) (* (sqrt (exp (* -1 x))) (pow (exp (* -1/4 x)) 2)))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) #s(hole binary64 (* (sqrt (exp (* -1 x))) (pow (exp (* -1/4 x)) 2))))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) #s(hole binary64 (* (sqrt (exp (* -1 x))) (exp (* -1/4 x)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (sqrt (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Outputs
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x x) x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x))
(.f64 (.f64 (.f64 x x) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal -6 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/36 binary64) (.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 (.f64 #s(literal 1/216 binary64) (.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)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) x)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal -6 binary64))) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1/36 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x))) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1 binary64)) x) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.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)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64))) (-.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x)))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64) (.f64 x (-.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) x))
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(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (.f64 (exp.f64 (fma.f64 #s(literal -1/4 binary64) x (.f64 #s(literal -1/2 binary64) x))) (cosh.f64 (.f64 #s(literal -1/4 binary64) x))) (.f64 (exp.f64 (fma.f64 #s(literal -1/4 binary64) x (.f64 #s(literal -1/2 binary64) x))) (sinh.f64 (.f64 #s(literal -1/4 binary64) x))))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) x)) (exp.f64 (fma.f64 #s(literal -1/4 binary64) x (.f64 #s(literal -1/2 binary64) x)))) (.f64 (sinh.f64 (.f64 #s(literal -1/4 binary64) x)) (exp.f64 (fma.f64 #s(literal -1/4 binary64) x (.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
(*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (/.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 (.f64 #s(literal -1/4 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) x))
(pow.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -1/4 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) x)) (cosh.f64 (.f64 #s(literal -1/4 binary64) x))) (.f64 (sinh.f64 (.f64 #s(literal -1/4 binary64) x)) (sinh.f64 (.f64 #s(literal -1/4 binary64) x)))) (-.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) x)) (sinh.f64 (.f64 #s(literal -1/4 binary64) x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal -1/4 binary64) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) x)) (cosh.f64 (.f64 #s(literal -1/4 binary64) x)) (-.f64 (.f64 (sinh.f64 (.f64 #s(literal -1/4 binary64) x)) (sinh.f64 (.f64 #s(literal -1/4 binary64) x))) (.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) x)) (sinh.f64 (.f64 #s(literal -1/4 binary64) x))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1/4 binary64) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) x)) #s(literal -1 binary64)))
(-.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) x)) (sinh.f64 (.f64 #s(literal 1/4 binary64) x)))
(exp.f64 (.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/4 binary64))) x))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/4 binary64) x)))
(exp.f64 (*.f64 #s(literal -1/4 binary64) x))
(+.f64 (cosh.f64 (.f64 #s(literal -1/4 binary64) x)) (sinh.f64 (.f64 #s(literal -1/4 binary64) x)))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/4 binary64) x)
(*.f64 #s(literal -1/2 binary64) (/.f64 x #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) x))
(*.f64 x (log.f64 (exp.f64 #s(literal -1/4 binary64))))
(*.f64 x #s(literal -1/4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/4 binary64) x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -4 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal 4 binary64))
(/.f64 x #s(literal -4 binary64))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1/4 binary64) x))
(log.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) x)))
#s(literal -1 binary64)
(*.f64 #s(literal 1/4 binary64) x)
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/4 binary64) x))
(*.f64 x #s(literal 1/4 binary64))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal -4 binary64))
(/.f64 x #s(literal 4 binary64))
(neg.f64 (*.f64 #s(literal -1/4 binary64) x))
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) x)
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x x) x))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (* (* x x) x) 1/6) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (* x x) 1/6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) (+.f64 x x))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (fma.f64 #s(literal -3/4 binary64) x #s(literal 1 binary64)))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (fma.f64 (-.f64 (*.f64 #s(literal 9/32 binary64) x) #s(literal 3/4 binary64)) x #s(literal 1 binary64)))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -9/128 binary64) x #s(literal 9/32 binary64)) x) #s(literal 3/4 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (exp (neg x))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (exp (neg x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (exp (* -1 (/ x 4))) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1 binary64)))
#s(approx (exp (* -1 (/ x 4))) (fma.f64 (fma.f64 #s(literal 1/32 binary64) x #s(literal -1/4 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* -1 (/ x 4))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/384 binary64) x #s(literal 1/32 binary64)) x #s(literal -1/4 binary64)) x #s(literal 1 binary64)))
#s(approx (* -1 (/ x 4)) (*.f64 #s(literal -1/4 binary64) x))
#s(approx (/ x 4) (*.f64 #s(literal 1/4 binary64) x))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x x) x))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) (exp.f64 (neg.f64 x)))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp.f64 (fma.f64 #s(literal -1/4 binary64) x (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (exp (neg x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) (exp.f64 (neg.f64 x)))
#s(approx (exp (* -1 (/ x 4))) (exp.f64 (*.f64 #s(literal -1/4 binary64) x)))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64))))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) 2) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) (exp.f64 (neg.f64 x)))
#s(approx (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp.f64 (fma.f64 #s(literal -1/4 binary64) x (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (exp (neg x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* -1 (/ x 4)))) (exp (* -1 (/ x 4)))) (exp.f64 (neg.f64 x)))

eval44.0ms (1.5%)

Memory: -6.1MiB live, 96.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 3 523 to 1 648 computations (53.2% saved)

prune9.0ms (0.3%)

Memory

24.8MiB live, 24.8MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	356	3	359
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	357	9	366

Accuracy

100.0%

Counts

366 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(/.f64 (-.f64 (exp.f64 x) (.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 x #s(literal -1/4 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))))) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)
✓	86.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
✓	86.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
✓	42.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
▶	42.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
✓	42.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
▶	42.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
✓	50.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 124 to 122 computations (1.6% saved)

series9.0ms (0.3%)

Memory

-28.8MiB live, 18.4MiB allocated; 2ms collecting garbage

Counts

23 → 49

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 x x)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(/.f64 (-.f64 (exp.f64 x) (.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 x #s(literal -1/4 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 x #s(literal -1/4 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64)))))
(exp.f64 x)
(.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 x #s(literal -1/4 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))))
(.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 x #s(literal -1/4 binary64))))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(exp.f64 (*.f64 x #s(literal -1/4 binary64)))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 2 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* (* x x) (* 1/6 x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) #s(hole binary64 (+ 1 (* -3/4 x))))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) #s(hole binary64 (+ 1 (* x (- (* 9/32 x) 3/4)))))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) #s(hole binary64 (+ 1 (* x (- (* x (+ 9/32 (* -9/128 x))) 3/4)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* x (- (* 1/8 x) 1/2)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (exp (* x -1/4)) #s(hole binary64 (+ 1 (* -1/4 x))))
#s(approx (exp (* x -1/4)) #s(hole binary64 (+ 1 (* x (- (* 1/32 x) 1/4)))))
#s(approx (exp (* x -1/4)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/32 (* -1/384 x))) 1/4)))))
#s(approx (* x -1/4) #s(hole binary64 (* -1/4 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) #s(hole binary64 (* 1/2 (- (exp x) (* (sqrt (exp (neg x))) (pow (exp (* -1/4 x)) 2))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) #s(hole binary64 (- (exp x) (* (sqrt (exp (neg x))) (pow (exp (* -1/4 x)) 2)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) #s(hole binary64 (* (sqrt (exp (neg x))) (pow (exp (* -1/4 x)) 2))))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) #s(hole binary64 (* (sqrt (exp (neg x))) (exp (* -1/4 x)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (sqrt (exp (neg x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (exp (* x -1/4)) #s(hole binary64 (exp (* -1/4 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) #s(hole binary64 (* 1/2 (- (exp x) (* (sqrt (exp (* -1 x))) (pow (exp (* -1/4 x)) 2))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) #s(hole binary64 (- (exp x) (* (sqrt (exp (* -1 x))) (pow (exp (* -1/4 x)) 2)))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) #s(hole binary64 (* (sqrt (exp (* -1 x))) (pow (exp (* -1/4 x)) 2))))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) #s(hole binary64 (* (sqrt (exp (* -1 x))) (exp (* -1/4 x)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (sqrt (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) (* (sqrt (exp (neg x))) (exp (* x -1/4))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (exp (* x -1/4)) (* x -1/4) -1/4 2)
3.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) (* (sqrt (exp (neg x))) (exp (* x -1/4))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (exp (* x -1/4)) (* x -1/4) -1/4 2)
2.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) (* (sqrt (exp (neg x))) (exp (* x -1/4))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (exp (* x -1/4)) (* x -1/4) -1/4 2)

Time

Variable

Point

Expression

4.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) (* (sqrt (exp (neg x))) (exp (* x -1/4))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (exp (* x -1/4)) (* x -1/4) -1/4 2)

3.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) (* (sqrt (exp (neg x))) (exp (* x -1/4))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (exp (* x -1/4)) (* x -1/4) -1/4 2)

2.0ms

((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) (* (sqrt (exp (neg x))) (exp (* x -1/4))) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (exp (* x -1/4)) (* x -1/4) -1/4 2)

rewrite198.0ms (6.7%)

Memory

19.1MiB live, 204.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	1071
0	244	932
1	1195	701
0	8908	645

Stop Event

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

Counts

72 → 255

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 x x)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(/.f64 (-.f64 (exp.f64 x) (.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 x #s(literal -1/4 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 x #s(literal -1/4 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64)))))
(exp.f64 x)
(.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 x #s(literal -1/4 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))))
(.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 x #s(literal -1/4 binary64))))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(exp.f64 (*.f64 x #s(literal -1/4 binary64)))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (* (* x x) (* 1/6 x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) #s(hole binary64 (+ 1 (* -3/4 x))))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) #s(hole binary64 (+ 1 (* x (- (* 9/32 x) 3/4)))))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) #s(hole binary64 (+ 1 (* x (- (* x (+ 9/32 (* -9/128 x))) 3/4)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* x (- (* 1/8 x) 1/2)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (exp (* x -1/4)) #s(hole binary64 (+ 1 (* -1/4 x))))
#s(approx (exp (* x -1/4)) #s(hole binary64 (+ 1 (* x (- (* 1/32 x) 1/4)))))
#s(approx (exp (* x -1/4)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/32 (* -1/384 x))) 1/4)))))
#s(approx (* x -1/4) #s(hole binary64 (* -1/4 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) #s(hole binary64 (* 1/2 (- (exp x) (* (sqrt (exp (neg x))) (pow (exp (* -1/4 x)) 2))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) #s(hole binary64 (- (exp x) (* (sqrt (exp (neg x))) (pow (exp (* -1/4 x)) 2)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) #s(hole binary64 (* (sqrt (exp (neg x))) (pow (exp (* -1/4 x)) 2))))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) #s(hole binary64 (* (sqrt (exp (neg x))) (exp (* -1/4 x)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (sqrt (exp (neg x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (exp (* x -1/4)) #s(hole binary64 (exp (* -1/4 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) #s(hole binary64 (* 1/2 (- (exp x) (* (sqrt (exp (* -1 x))) (pow (exp (* -1/4 x)) 2))))))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) #s(hole binary64 (- (exp x) (* (sqrt (exp (* -1 x))) (pow (exp (* -1/4 x)) 2)))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) #s(hole binary64 (* (sqrt (exp (* -1 x))) (pow (exp (* -1/4 x)) 2))))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) #s(hole binary64 (* (sqrt (exp (* -1 x))) (exp (* -1/4 x)))))
#s(approx (sqrt (exp (neg x))) #s(hole binary64 (sqrt (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Outputs
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) #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 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) (neg.f64 x)) (neg.f64 x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 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 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) x))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(neg.f64 (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x)))
(neg.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(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))))
x
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(neg.f64 (*.f64 #s(literal -1/6 binary64) x))
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)
(.f64 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 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)))
(.f64 x (.f64 #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 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 2 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 (.f64 #s(literal -1/6 binary64) x) x))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(sinh.f64 x)
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#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) (fma.f64 #s(literal -3/4 binary64) x #s(literal 1 binary64)))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) (fma.f64 (-.f64 (*.f64 #s(literal 9/32 binary64) x) #s(literal 3/4 binary64)) x #s(literal 1 binary64)))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -9/128 binary64) x #s(literal 9/32 binary64)) x) #s(literal 3/4 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (exp (neg x))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (exp (neg x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (exp (neg x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (exp (* x -1/4)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1 binary64)))
#s(approx (exp (* x -1/4)) (fma.f64 (fma.f64 #s(literal 1/32 binary64) x #s(literal -1/4 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* x -1/4)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/384 binary64) x #s(literal 1/32 binary64)) x #s(literal -1/4 binary64)) x #s(literal 1 binary64)))
#s(approx (* x -1/4) (*.f64 #s(literal -1/4 binary64) x))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) (exp.f64 (neg.f64 x)))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp.f64 (fma.f64 #s(literal -1/4 binary64) x (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (exp (neg x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) (exp.f64 (neg.f64 x)))
#s(approx (exp (* x -1/4)) (exp.f64 (*.f64 #s(literal -1/4 binary64) x)))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (/ (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (- (exp x) (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) (exp.f64 (neg.f64 x)))
#s(approx (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp.f64 (fma.f64 #s(literal -1/4 binary64) x (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (exp (neg x))) (sqrt.f64 (exp.f64 (neg.f64 x))))
#s(approx (* (* (sqrt (exp (neg x))) (exp (* x -1/4))) (exp (* x -1/4))) (exp.f64 (neg.f64 x)))

eval24.0ms (0.8%)

Memory: 5.8MiB live, 49.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 062 to 1 038 computations (49.7% saved)

prune9.0ms (0.3%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	207	0	207
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	207	9	216

Accuracy

100.0%

Counts

216 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.8%	(/.f64 (-.f64 (exp.f64 x) (.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 x #s(literal -1/4 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))))) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)
✓	86.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
✓	86.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
✓	42.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
✓	42.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
✓	42.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
✓	42.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
✓	50.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 220 to 193 computations (12.3% saved)

regimes71.0ms (2.4%)

Memory

-63.5MiB live, 19.5MiB allocated; 102ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 x #s(literal -1/4 binary64)))) (exp.f64 (.f64 x #s(literal -1/4 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 4 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))

Outputs
(sinh.f64 x)

Calls

3 calls:

64.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
4.0ms	x
3.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
100.0%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.2%)

Memory

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

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
86.8%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
86.8%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
86.8%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))

Calls

3 calls:

2.0ms	x
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
86.8%	1	`x`
86.8%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
86.8%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes10.0ms (0.3%)

Memory

-34.1MiB live, 12.9MiB allocated; 10ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))

Calls

3 calls:

2.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
86.6%	2	`x`
86.6%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
86.6%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
50.0%	1	`x`
50.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
50.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6982110899513146	16513.33206342668

Compiler

Compiled 10 to 11 computations (-10% saved)

derivations165.0ms (5.6%)

Memory

28.5MiB live, 167.9MiB allocated; 16ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 44 to 35 computations (20.5% saved)

preprocess43.0ms (1.5%)

Memory: -10.2MiB live, 80.8MiB allocated; 7ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 189 to 170 computations (10.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (57.4%)

preprocess41.0ms (1.4%)

series3.0ms (0.1%)

rewrite160.0ms (5.4%)

eval9.0ms (0.3%)

prune2.0ms (0.1%)

series10.0ms (0.3%)

rewrite229.0ms (7.7%)

eval29.0ms (1%)

prune7.0ms (0.3%)

series15.0ms (0.5%)

rewrite157.0ms (5.3%)

eval44.0ms (1.5%)

prune9.0ms (0.3%)

series9.0ms (0.3%)

rewrite198.0ms (6.7%)

eval24.0ms (0.8%)

prune9.0ms (0.3%)

regimes71.0ms (2.4%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes10.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

derivations165.0ms (5.6%)

preprocess43.0ms (1.5%)

end0.0ms (0%)

Profiling