Metrics for Hyperbolic secant

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 10 to 9 computations (10% saved)

sample852.0ms (43.2%)

Memory

56.0MiB live, 694.9MiB allocated; 872ms collecting garbage

Samples

622.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 481.0ms

ival-exp: 394.0ms (81.8% of total)

ival-div!: 36.0ms (7.5% of total)

ival-neg: 31.0ms (6.4% of total)

ival-add!: 19.0ms (3.9% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess42.0ms (2.1%)

Memory

-20.6MiB live, 25.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	40	12
2	111	12
3	683	12

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(abs x)

Compiler

Compiled 14 to 14 computations (0% saved)

series5.0ms (0.3%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

7 → 25

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.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)

Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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 x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#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 (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 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 (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 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
2.0ms	x	@	-inf	((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x))
2.0ms	x	@	inf	((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x))
1.0ms	x	@	0	((/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite150.0ms (7.6%)

Memory

37.4MiB live, 133.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	338
0	102	297
1	548	274
0	4659	254

Stop Event

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

Counts

32 → 86

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (+.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(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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 x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#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 (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 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 (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 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 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
#s(literal 2 binary64)
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.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) (sinh.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 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) (sinh.f64 x)))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (expm1.f64 (+.f64 x x))))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(fma.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))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x)))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.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) (-.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)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.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))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.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 #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(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#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 x x)
#s(approx (exp (neg 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 (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.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 (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval9.0ms (0.4%)

Memory: -32.8MiB live, 13.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 599 to 311 computations (48.1% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	5	78

Accuracy

100.0%

Counts

78 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	49.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
▶	49.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
▶	50.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 100 to 98 computations (2% saved)

series22.0ms (1.1%)

Memory

-7.6MiB live, 38.5MiB allocated; 4ms collecting garbage

Counts

19 → 43

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal 5/24 binary64) (.f64 x x))
#s(literal 5/24 binary64)
#s(literal 1/2 binary64)

Outputs
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (* 5/24 (* x x)) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 5/24 (pow x 4))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 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
10.0ms	x	@	-inf	((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (* 5/24 (* x x)) 5/24 1/2)
8.0ms	x	@	inf	((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (* 5/24 (* x x)) 5/24 1/2)
3.0ms	x	@	0	((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (* 5/24 (* x x)) 5/24 1/2)

Time

Variable

Point

Expression

10.0ms

-inf

((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (* 5/24 (* x x)) 5/24 1/2)

8.0ms

inf

((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (* 5/24 (* x x)) 5/24 1/2)

3.0ms

((/ 1 (cosh x)) 1 (cosh x) x (/ 2 (+ (exp x) (exp (neg x)))) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 2 (+ (exp x) (exp (neg x)))) (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (- (* 5/24 (* x x)) 1/2) (* 5/24 (* x x)) 5/24 1/2)

rewrite180.0ms (9.1%)

Memory

20.2MiB live, 157.8MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	770
0	158	699
1	721	665
0	5718	629

Stop Event

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

Counts

62 → 290

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal 5/24 binary64) (.f64 x x))
#s(literal 5/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ 1 (cosh x)) #s(hole binary64 1))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (* 5/24 (* x x)) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (/ 1 (cosh x)) #s(hole binary64 (/ 2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 5/24 (pow x 4))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))

Outputs
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 1/2 binary64) (exp.f64 x))) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal -1/2 binary64) (exp.f64 (neg.f64 x))))
(-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.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 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
x
#s(approx (/ 1 (cosh x)) #s(literal 1 binary64))
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
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(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))))
(-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x)) x))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 125/13824 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 125/13824 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64))))
(fma.f64 (*.f64 #s(literal 5/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 5/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 5/24 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 125/13824 binary64)) (fma.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 5/24 binary64)) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 5/24 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 5/24 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 5/24 binary64) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 5/24 binary64)))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(.f64 #s(literal 5/24 binary64) (.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 5/24 binary64)))
(.f64 x (.f64 #s(literal 5/24 binary64) x))
#s(literal 5/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ 1 (cosh x)) #s(literal 1 binary64))
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (/ 1 (cosh x)) #s(literal 1 binary64))
#s(approx (/ 1 (cosh x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (cosh x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) #s(literal 2 binary64))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 5/24 (* x x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 5/24 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
#s(approx (* 5/24 (* x x)) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
#s(approx (/ 1 (cosh x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (cosh x) (cosh.f64 x))
#s(approx (/ 1 (cosh x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (+ (* x x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 5/24 binary64)))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (.f64 (-.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (- (* 5/24 (* x x)) 1/2) (* x x)) 1) (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal 5/24 binary64)) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (- (* 5/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
#s(approx (- (* 5/24 (* x x)) 1/2) (.f64 (.f64 (-.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx (/ 1 (cosh x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval30.0ms (1.5%)

Memory: 0.1MiB live, 45.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 507 to 1 082 computations (56.8% saved)

prune8.0ms (0.4%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	302	3	305
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	303	7	310

Accuracy

100.0%

Counts

310 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.2%	(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))))
✓	74.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶	28.1%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	49.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
✓	49.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	50.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 73 to 72 computations (1.4% saved)

series16.0ms (0.8%)

Memory

-22.6MiB live, 23.5MiB allocated; 4ms collecting garbage

Counts

17 → 40

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal 5/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))))
#s(literal 4 binary64)
(*.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))

Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 1))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 4))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 4 (* 2 (pow x 2)))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* 5/24 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (* 2 (+ (exp x) (exp (neg x))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (* 2 (+ (exp x) (exp (* -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) (* x x) x 5/24 -1/2 1 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 4 (* 2 (+ (exp x) (exp (neg x))))) 4 (* 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))
5.0ms	x	@	-inf	((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) (* x x) x 5/24 -1/2 1 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 4 (* 2 (+ (exp x) (exp (neg x))))) 4 (* 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))
3.0ms	x	@	0	((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) (* x x) x 5/24 -1/2 1 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 4 (* 2 (+ (exp x) (exp (neg x))))) 4 (* 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))

Time

Variable

Point

Expression

8.0ms

inf

((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) (* x x) x 5/24 -1/2 1 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 4 (* 2 (+ (exp x) (exp (neg x))))) 4 (* 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))

5.0ms

-inf

((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) (* x x) x 5/24 -1/2 1 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 4 (* 2 (+ (exp x) (exp (neg x))))) 4 (* 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))

3.0ms

((/ 2 (+ (exp x) (exp (neg x)))) (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) (+ (* (* x x) 5/24) -1/2) (* x x) x 5/24 -1/2 1 (/ 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (/ 4 (* 2 (+ (exp x) (exp (neg x))))) 4 (* 2 (+ (exp x) (exp (neg x)))) (+ (exp x) (exp (neg x))) (+ (* x x) 2))

rewrite182.0ms (9.2%)

Memory

2.1MiB live, 146.3MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	803
0	143	693
1	676	631
0	5756	612

Stop Event

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

Counts

57 → 221

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal 5/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))))
#s(literal 4 binary64)
(*.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 1))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (- (* 5/24 (pow x 2)) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 1))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 4))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 4 (* 2 (pow x 2)))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* 5/24 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 5/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (* 5/24 (pow x 2))))
#s(approx (+ (* (* x x) 5/24) -1/2) #s(hole binary64 (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (* 2 (+ (exp x) (exp (neg x))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (* 2 (+ (exp x) (exp (* -1 x))))))

Outputs
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))))
(fma.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x)) x))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x)))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 125/13824 binary64) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -5/48 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 125/13824 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 125/13824 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (*.f64 x x) #s(literal -5/48 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 125/13824 binary64) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -5/48 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 125/13824 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64))))
(fma.f64 (*.f64 #s(literal 5/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 5/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 5/24 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 5/24 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 125/13824 binary64)) (fma.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 5/48 binary64) #s(literal 1/4 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 5/24 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 5/24 binary64)))
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#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) (*.f64 (cosh.f64 x) #s(literal 4 binary64)))

eval26.0ms (1.3%)

Memory: -8.8MiB live, 36.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 306 to 913 computations (60.4% saved)

prune5.0ms (0.3%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	232	7	239

Accuracy

100.0%

Counts

239 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.4%	(/.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))))
✓	74.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓	28.1%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	49.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
✓	49.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	50.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 77 to 76 computations (1.3% saved)

series9.0ms (0.4%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

8 → 24

Calls

Call 1

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

Outputs
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 1))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 4))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 4 (* 2 (pow x 2)))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (* 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (* 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
3.0ms	x	@	-inf	((/ 4 (* 2 (+ (exp x) (exp (neg x))))) 4 (* 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x) x)
3.0ms	x	@	inf	((/ 4 (* 2 (+ (exp x) (exp (neg x))))) 4 (* 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x) x)
1.0ms	x	@	0	((/ 4 (* 2 (+ (exp x) (exp (neg x))))) 4 (* 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x) x)

Time

Variable

Point

Expression

3.0ms

-inf

((/ 4 (* 2 (+ (exp x) (exp (neg x))))) 4 (* 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x) x)

3.0ms

inf

((/ 4 (* 2 (+ (exp x) (exp (neg x))))) 4 (* 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x) x)

1.0ms

((/ 4 (* 2 (+ (exp x) (exp (neg x))))) 4 (* 2 (+ (exp x) (exp (neg x)))) 2 (+ (exp x) (exp (neg x))) (+ (* x x) 2) (* x x) x)

rewrite166.0ms (8.4%)

Memory

0.1MiB live, 138.2MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	452
0	99	379
1	539	343
0	4777	317

Stop Event

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

Counts

32 → 92

Calls

Call 1

Inputs
(/.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))))
#s(literal 4 binary64)
(.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 x x)
x
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 1))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 4))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 4 (* 2 (pow x 2)))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (+ (* x x) 2) #s(hole binary64 2))
#s(approx (+ (* x x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (/ 2 (+ (exp x) (exp (neg x))))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (* 2 (+ (exp x) (exp (neg x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (+ (* x x) 2) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(hole binary64 (/ 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(hole binary64 (* 2 (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))

Outputs
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))))
(.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 4 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))) #s(literal 2 binary64))
(/.f64 #s(literal -4 binary64) (.f64 #s(literal -2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 4 binary64) (neg.f64 (.f64 #s(literal -2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x))))))
(/.f64 #s(literal 4 binary64) (.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x))) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x))))))
(neg.f64 (/.f64 #s(literal -4 binary64) (.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x))) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (.f64 x x)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))))
#s(literal 4 binary64)
(.f64 (.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x))))
(/.f64 (.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x))) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 4 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (.f64 x x))) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (.f64 x x)))) (.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (.f64 x x))) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (.f64 x x))))) (-.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (.f64 x x))) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (.f64 x x))) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (.f64 x x))) (-.f64 (.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (.f64 x x))) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (.f64 x x)))) (.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (.f64 x x))) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))))))
(fma.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (.f64 x x))) (.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(fma.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (.f64 x x))) #s(literal 1 binary64) (.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (.f64 x x))) #s(literal 1 binary64)) (.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (.f64 x x)))) (.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
(+.f64 #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (.f64 x x))) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.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 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) 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 (.f64 x #s(literal 1 binary64)) (*.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 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 (.f64 x #s(literal 1 binary64)))
(*.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 x (+.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(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)))
x
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) #s(literal 1 binary64))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) (fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal 5/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) #s(literal 4 binary64))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (+.f64 x x) #s(literal 4 binary64)))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal 4 binary64)))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) x #s(literal 4 binary64)))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) #s(literal 2 binary64))
#s(approx (+ (* x x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) (*.f64 (cosh.f64 x) #s(literal 4 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* x x) 2) (*.f64 x x))
#s(approx (+ (* x x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))
#s(approx (/ 4 (* 2 (+ (exp x) (exp (neg x))))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
#s(approx (* 2 (+ (exp x) (exp (neg x)))) (*.f64 (cosh.f64 x) #s(literal 4 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval8.0ms (0.4%)

Memory: 15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 930 to 372 computations (60% saved)

prune5.0ms (0.3%)

Memory

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

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	80	7	87

Accuracy

100.0%

Counts

87 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.4%	(/.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))))
✓	74.9%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓	28.1%	(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	49.7%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
✓	49.8%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	50.3%	#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Compiler

Compiled 153 to 119 computations (22.2% saved)

regimes53.0ms (2.7%)

Memory

-31.2MiB live, 14.8MiB allocated; 5ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ ( x x) 2) (*.f64 x x)))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (.f64 #s(literal 5/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Calls

3 calls:

48.0ms	x
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(+.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 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
100.0%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.3%)

Memory

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

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
75.2%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
75.2%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
75.2%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.3%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.9%	1	`x`
74.9%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
74.9%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.2%)

Memory

9.5MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

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

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.9%	2	`x`
74.9%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
74.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes11.0ms (0.6%)

Memory

-44.5MiB live, 9.7MiB allocated; 9ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	x
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
74.8%	2	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
74.8%	2	`x`
74.8%	2	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.3%	1	`x`
50.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
50.3%	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

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	2.0000001188370056	+inf

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0000001188370056	+inf

Compiler

Compiled 10 to 11 computations (-10% saved)

derivations115.0ms (5.8%)

Memory

0.5MiB live, 90.7MiB allocated; 13ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 53 to 34 computations (35.8% saved)

preprocess56.0ms (2.8%)

Memory: 19.9MiB live, 65.7MiB allocated; 6ms collecting garbage
Remove: (abs x)
Compiler: Compiled 240 to 203 computations (15.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample852.0ms (43.2%)

preprocess42.0ms (2.1%)

series5.0ms (0.3%)

rewrite150.0ms (7.6%)

eval9.0ms (0.4%)

prune4.0ms (0.2%)

series22.0ms (1.1%)

rewrite180.0ms (9.1%)

eval30.0ms (1.5%)

prune8.0ms (0.4%)

series16.0ms (0.8%)

rewrite182.0ms (9.2%)

eval26.0ms (1.3%)

prune5.0ms (0.3%)

series9.0ms (0.4%)

rewrite166.0ms (8.4%)

eval8.0ms (0.4%)

prune5.0ms (0.3%)

regimes53.0ms (2.7%)

regimes6.0ms (0.3%)

regimes5.0ms (0.3%)

regimes4.0ms (0.2%)

regimes11.0ms (0.6%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations115.0ms (5.8%)

preprocess56.0ms (2.8%)

end0.0ms (0%)

Profiling