Metrics for Hyperbolic sine

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.5s (61.7%)

Memory

43.5MiB live, 1 834.1MiB allocated; 336ms collecting garbage

Samples

631.0ms	1 689×	2	valid
373.0ms	2 314×	1	valid
205.0ms	4 253×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 976.0ms

ival-exp: 730.0ms (74.8% of total)

ival-div!: 95.0ms (9.7% of total)

adjust: 80.0ms (8.2% of total)

ival-sub!: 37.0ms (3.8% of total)

ival-neg: 34.0ms (3.5% of total)

Bogosity

preprocess41.0ms (1.7%)

Memory

-29.1MiB live, 15.6MiB allocated; 7ms 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
▶	57.5%	(/.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

2.9MiB live, 2.9MiB 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)

rewrite167.0ms (6.8%)

Memory

25.9MiB live, 114.9MiB allocated; 9ms 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)))

eval8.0ms (0.3%)

Memory: 12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 630 to 321 computations (49% saved)

prune3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB 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
▶	49.3%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
▶	100.0%	(sinh.f64 x)
▶	82.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
▶	48.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 32 to 32 computations (0% saved)

series27.0ms (1.1%)

Memory

-40.6MiB live, 11.1MiB allocated; 13ms collecting garbage

Counts

13 → 20

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 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(+.f64 x 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 (+ (* (* 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) (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) (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) (exp (neg x))) #s(hole binary64 (- (exp x) (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)))))

Calls

3 calls:

Time	Variable		Point	Expression
23.0ms	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) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) 2)
2.0ms	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) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) 2)
2.0ms	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) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) 2)

Time

Variable

Point

Expression

23.0ms

-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) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) 2)

2.0ms

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) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) 2)

2.0ms

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

rewrite155.0ms (6.3%)

Memory

28.7MiB live, 73.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	96	400
0	102	309
1	508	132
0	5901	132

Stop Event

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

Counts

33 → 52

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 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(+.f64 x 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 (+ (* (* 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) (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) (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) (exp (neg x))) #s(hole binary64 (- (exp x) (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)))))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(literal 7/6 binary64))
#s(literal 7/6 binary64)
#s(literal 7/6 binary64)
x
#s(literal 1 binary64)
#s(literal 1/6 binary64)
x
#s(literal 1 binary64)
(*.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 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 #s(literal -1 binary64)) #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 #s(literal -1 binary64)) #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 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 #s(literal -1 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 #s(literal 3 binary64)) (exp.f64 #s(literal -3 binary64))) (*.f64 (+.f64 (+.f64 (exp.f64 #s(literal -2 binary64)) x) (exp.f64 #s(literal 2 binary64))) #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 #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (- (exp x) (exp (neg x))) #s(literal 2 binary64)) #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (- (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(literal 7/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(literal 47/40 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(literal 5923/5040 binary64))
#s(approx (* (+ (* (* x x) 1/6) 1) x) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64))
#s(approx (* x x) x)
#s(approx (- (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) #s(literal 7/3 binary64))
#s(approx (- (exp x) (exp (neg x))) #s(literal 47/20 binary64))
#s(approx (- (exp x) (exp (neg x))) #s(literal 5923/2520 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (sinh.f64 x)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(literal 1/6 binary64))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(literal 1/6 binary64))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (sinh.f64 x)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (sinh.f64 x)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))

eval4.0ms (0.1%)

Memory: 5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 251 to 119 computations (52.6% saved)

prune2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	35	5	40

Accuracy

100.0%

Counts

40 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sinh.f64 x)
✓	82.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
▶	33.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) x) x))
▶	13.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)) x))
✓	48.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 56 to 56 computations (0% saved)

series3.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

8 → 12

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)) x))
(.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64))
#s(literal 7/6 binary64)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) x) x))
(.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) x) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) x)

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) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#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) x) #s(hole binary64 (* 1/6 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/6 (/ 1 (pow x 2))))))
#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 (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x) 7/6 x (/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x))
1.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x) 7/6 x (/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x))
1.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x) 7/6 x (/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x))

Time

Variable

Point

Expression

1.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x) 7/6 x (/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x))

1.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x) 7/6 x (/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x))

1.0ms

((/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x) 7/6 x (/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x))

rewrite93.0ms (3.8%)

Memory

-1.9MiB live, 44.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	325
0	71	270
1	343	230
0	2585	209

Stop Event

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

Counts

20 → 22

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)) x))
(.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64))
#s(literal 7/6 binary64)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) x) x))
(.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) x) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) x)
#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) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#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) x) #s(hole binary64 (* 1/6 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/6 (/ 1 (pow x 2))))))
#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 (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)) x))
(.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)) x)
(.f64 x #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64))
#s(literal 7/6 binary64)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) x) x))
(.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) x) x)
(.f64 x #s(approx ( (+ (* (* x x) 1/6) 1) x) x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) x)
#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 (* (* (+ (* (* x x) 1/6) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x))
#s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))

eval1.0ms (0%)

Memory: 1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 110 to 57 computations (48.2% saved)

prune2.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	9	6	15

Accuracy

100.0%

Counts

15 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sinh.f64 x)
✓	82.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
▶	41.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) x))
✓	33.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) x) x))
✓	13.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)) x))
✓	48.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 76 to 76 computations (0% saved)

series10.0ms (0.4%)

Memory

-38.0MiB live, 8.1MiB allocated; 4ms collecting garbage

Counts

8 → 13

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) x))
(.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) x)
#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)
(*.f64 x x)
x
#s(literal 1/6 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) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#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 (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) #s(hole binary64 (* 1/6 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#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
7.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* x x) x 1/6)
2.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* x x) x 1/6)
1.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (* (* (+ (* (* x x) 1/6) 1) x) x) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* x x) x 1/6)

Time

Variable

Point

Expression

7.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite101.0ms (4.1%)

Memory

22.0MiB live, 117.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	319
0	77	256
1	353	224
0	2596	207

Stop Event

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

Counts

21 → 86

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) x))
(.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) x)
#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)
(*.f64 x x)
x
#s(literal 1/6 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) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))))
#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 (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) #s(hole binary64 (* 1/6 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))

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

eval7.0ms (0.3%)

Memory: 11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 694 to 459 computations (33.9% saved)

prune5.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	76	7	83

Accuracy

100.0%

Counts

83 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sinh.f64 x)
✓	82.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
✓	41.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) x))
✓	33.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) x) x))
✓	13.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)) x))
	41.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6 binary64))))
✓	48.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 169 to 143 computations (15.4% saved)

regimes16.0ms (0.6%)

Memory

-35.6MiB live, 10.5MiB allocated; 4ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) x) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#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) #s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) x))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Outputs
(sinh.f64 x)

Calls

3 calls:

10.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
3.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

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 (0.3%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) x) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#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) #s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) x))

Outputs

#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) #s(approx (* (* (+ (* (* x x) 1/6) 1) x) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6 binary64))))

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
85.1%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
85.1%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
85.1%	2	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) x) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#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 x x) #s(literal 1/6 binary64) #s(literal 1 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
82.1%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
82.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
82.1%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) x) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) x) 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
75.8%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
75.8%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
75.8%	2	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Accuracy

Total -22.9b remaining (-70%)

Threshold costs -22.9b (-70%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx ( (+ (* (* x x) 1/6) 1) x) #s(literal 7/6 binary64)) 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
48.9%	1	`x`
48.9%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
48.9%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch12.0ms (0.5%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.03213698164652218	24.34817131336686

Samples

6.0ms

128×

valid

Compiler

Compiled 283 to 291 computations (-2.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 3.0ms (75.2% of total)

ival-neg: 1.0ms (25.1% of total)

ival-div!: 1.0ms (25.1% of total)

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

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.03214251370077409	18760588178.038578

Compiler

Compiled 10 to 11 computations (-10% saved)

derivations168.0ms (6.8%)

Memory

-42.3MiB live, 155.6MiB allocated; 36ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 53 to 41 computations (22.6% saved)

preprocess98.0ms (4%)

Memory: -9.0MiB live, 138.5MiB allocated; 11ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 228 to 200 computations (12.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (61.7%)

preprocess41.0ms (1.7%)

series3.0ms (0.1%)

rewrite167.0ms (6.8%)

eval8.0ms (0.3%)

prune3.0ms (0.1%)

series27.0ms (1.1%)

rewrite155.0ms (6.3%)

eval4.0ms (0.1%)

prune2.0ms (0.1%)

series3.0ms (0.1%)

rewrite93.0ms (3.8%)

eval1.0ms (0%)

prune2.0ms (0.1%)

series10.0ms (0.4%)

rewrite101.0ms (4.1%)

eval7.0ms (0.3%)

prune5.0ms (0.2%)

regimes16.0ms (0.6%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch12.0ms (0.5%)

bsearch0.0ms (0%)

derivations168.0ms (6.8%)

preprocess98.0ms (4%)

end0.0ms (0%)

Profiling