Metrics for Data.Number.Erf:$dmerfcx from erf-2.0.0.0

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample607.0ms (10.8%)

Memory

5.9MiB live, 193.2MiB allocated; 35ms collecting garbage

Samples

406.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-exp: 138.0ms (57.5% of total)

ival-mult!: 101.0ms (42.1% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess57.0ms (1%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	62	38
2	183	38
3	487	38
4	2492	38

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 x (exp.f64 (.f64 y y)))

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 10 to 10 computations (0% saved)

series28.0ms (0.5%)

Memory

-46.3MiB live, 2.8MiB allocated; 23ms collecting garbage

Counts

5 → 13

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
x
(exp.f64 (*.f64 y y))
(*.f64 y y)
y

Outputs
#s(approx (* x (exp (* y y))) #s(hole binary64 (* x (exp (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x (exp (* y y))) #s(hole binary64 x))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))))
#s(approx (exp (* y y)) #s(hole binary64 1))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (exp (* y y)) #s(hole binary64 (exp (pow y 2))))

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	((* x (exp (* y y))) x (exp (* y y)) (* y y) y)
1.0ms	x	@	-inf	((* x (exp (* y y))) x (exp (* y y)) (* y y) y)
1.0ms	x	@	inf	((* x (exp (* y y))) x (exp (* y y)) (* y y) y)
1.0ms	y	@	inf	((* x (exp (* y y))) x (exp (* y y)) (* y y) y)
1.0ms	x	@	0	((* x (exp (* y y))) x (exp (* y y)) (* y y) y)

rewrite1.1s (19.1%)

Memory

44.1MiB live, 286.3MiB allocated; 77ms collecting garbage

Counts

18 → 65

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
x
(exp.f64 (*.f64 y y))
(*.f64 y y)
y
#s(approx (* x (exp (* y y))) #s(hole binary64 (* x (exp (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x (exp (* y y))) #s(hole binary64 x))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))))
#s(approx (exp (* y y)) #s(hole binary64 1))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (exp (* y y)) #s(hole binary64 (exp (pow y 2))))

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

eval8.0ms (0.1%)

Memory: -41.1MiB live, 5.4MiB allocated; 1ms collecting garbage
Compiler: Compiled 379 to 221 computations (41.7% saved)

prune2.0ms (0%)

Memory

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

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	4	61

Accuracy

100.0%

Counts

61 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	82.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	54.1%	#s(approx (* x (exp (* y y))) x)

Compiler

Compiled 28 to 27 computations (3.6% saved)

series18.0ms (0.3%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

13 → 44

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) x)
x
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(+.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x))
(.f64 (cosh.f64 (.f64 y y)) x)
(cosh.f64 (*.f64 y y))
(*.f64 y y)
(.f64 (sinh.f64 (.f64 y y)) x)
(sinh.f64 (*.f64 y y))

Outputs
#s(approx (* x (exp (* y y))) #s(hole binary64 (* x (exp (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) #s(hole binary64 (* x (+ (* 1/2 (+ (exp (pow y 2)) (/ 1 (exp (pow y 2))))) (* 1/2 (- (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (* 1/2 (* x (+ (exp (pow y 2)) (/ 1 (exp (pow y 2))))))))
#s(approx (* (sinh (* y y)) x) #s(hole binary64 (* 1/2 (* x (- (exp (pow y 2)) (/ 1 (exp (pow y 2))))))))
#s(approx (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (+ (exp (pow y 2)) (/ 1 (exp (pow y 2))))) (* -1/2 (- (exp (pow y 2)) (/ 1 (exp (pow y 2))))))))))
#s(approx (* x (exp (* y y))) #s(hole binary64 x))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))))
#s(approx (exp (* y y)) #s(hole binary64 1))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))))
#s(approx (+ (* y y) 1) #s(hole binary64 1))
#s(approx (+ (* y y) 1) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) #s(hole binary64 x))
#s(approx (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) #s(hole binary64 (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))))
#s(approx (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) #s(hole binary64 (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 x))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (+ x (* 1/2 (* x (pow y 4))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (+ x (* (pow y 4) (+ (* 1/24 (* x (pow y 4))) (* 1/2 x))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (+ x (* (pow y 4) (+ (* 1/2 x) (* (pow y 4) (+ (* 1/720 (* x (pow y 4))) (* 1/24 x))))))))
#s(approx (cosh (* y y)) #s(hole binary64 1))
#s(approx (cosh (* y y)) #s(hole binary64 (+ 1 (* 1/2 (pow y 4)))))
#s(approx (cosh (* y y)) #s(hole binary64 (+ 1 (* (pow y 4) (+ 1/2 (* 1/24 (pow y 4)))))))
#s(approx (cosh (* y y)) #s(hole binary64 (+ 1 (* (pow y 4) (+ 1/2 (* (pow y 4) (+ 1/24 (* 1/720 (pow y 4)))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (sinh (* y y)) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (* (sinh (* y y)) x) #s(hole binary64 (* (pow y 2) (+ x (* 1/6 (* x (pow y 4)))))))
#s(approx (* (sinh (* y y)) x) #s(hole binary64 (* (pow y 2) (+ x (* (pow y 4) (+ (* 1/120 (* x (pow y 4))) (* 1/6 x)))))))
#s(approx (* (sinh (* y y)) x) #s(hole binary64 (* (pow y 2) (+ x (* (pow y 4) (+ (* 1/6 x) (* (pow y 4) (+ (* 1/5040 (* x (pow y 4))) (* 1/120 x)))))))))
#s(approx (sinh (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (sinh (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* 1/6 (pow y 4))))))
#s(approx (sinh (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* (pow y 4) (+ 1/6 (* 1/120 (pow y 4))))))))
#s(approx (sinh (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* (pow y 4) (+ 1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 4))))))))))
#s(approx (exp (* y y)) #s(hole binary64 (exp (pow y 2))))
#s(approx (+ (* y y) 1) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) 1) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))
#s(approx (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) #s(hole binary64 (+ (* 1/2 (* x (+ (exp (pow y 2)) (/ 1 (exp (pow y 2)))))) (* 1/2 (* x (- (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))))
#s(approx (cosh (* y y)) #s(hole binary64 (* 1/2 (+ (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))
#s(approx (sinh (* y y)) #s(hole binary64 (* 1/2 (- (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((* x (exp (* y y))) x (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) y 1 (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) (* (cosh (* y y)) x) (cosh (* y y)) (* y y) (* (sinh (* y y)) x) (sinh (* y y)))
3.0ms	x	@	0	((* x (exp (* y y))) x (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) y 1 (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) (* (cosh (* y y)) x) (cosh (* y y)) (* y y) (* (sinh (* y y)) x) (sinh (* y y)))
3.0ms	y	@	inf	((* x (exp (* y y))) x (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) y 1 (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) (* (cosh (* y y)) x) (cosh (* y y)) (* y y) (* (sinh (* y y)) x) (sinh (* y y)))
3.0ms	x	@	-inf	((* x (exp (* y y))) x (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) y 1 (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) (* (cosh (* y y)) x) (cosh (* y y)) (* y y) (* (sinh (* y y)) x) (sinh (* y y)))
2.0ms	y	@	-inf	((* x (exp (* y y))) x (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) y 1 (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) (* (cosh (* y y)) x) (cosh (* y y)) (* y y) (* (sinh (* y y)) x) (sinh (* y y)))

rewrite998.0ms (17.8%)

Memory

13.4MiB live, 200.9MiB allocated; 41ms collecting garbage

Counts

57 → 90

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) x)
x
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(+.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x))
(.f64 (cosh.f64 (.f64 y y)) x)
(cosh.f64 (*.f64 y y))
(*.f64 y y)
(.f64 (sinh.f64 (.f64 y y)) x)
(sinh.f64 (*.f64 y y))
#s(approx (* x (exp (* y y))) #s(hole binary64 (* x (exp (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) #s(hole binary64 (* x (+ (* 1/2 (+ (exp (pow y 2)) (/ 1 (exp (pow y 2))))) (* 1/2 (- (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (* 1/2 (* x (+ (exp (pow y 2)) (/ 1 (exp (pow y 2))))))))
#s(approx (* (sinh (* y y)) x) #s(hole binary64 (* 1/2 (* x (- (exp (pow y 2)) (/ 1 (exp (pow y 2))))))))
#s(approx (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (+ (exp (pow y 2)) (/ 1 (exp (pow y 2))))) (* -1/2 (- (exp (pow y 2)) (/ 1 (exp (pow y 2))))))))))
#s(approx (* x (exp (* y y))) #s(hole binary64 x))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))))
#s(approx (exp (* y y)) #s(hole binary64 1))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))))
#s(approx (+ (* y y) 1) #s(hole binary64 1))
#s(approx (+ (* y y) 1) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) #s(hole binary64 x))
#s(approx (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) #s(hole binary64 (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))))
#s(approx (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) #s(hole binary64 (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 x))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (+ x (* 1/2 (* x (pow y 4))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (+ x (* (pow y 4) (+ (* 1/24 (* x (pow y 4))) (* 1/2 x))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (+ x (* (pow y 4) (+ (* 1/2 x) (* (pow y 4) (+ (* 1/720 (* x (pow y 4))) (* 1/24 x))))))))
#s(approx (cosh (* y y)) #s(hole binary64 1))
#s(approx (cosh (* y y)) #s(hole binary64 (+ 1 (* 1/2 (pow y 4)))))
#s(approx (cosh (* y y)) #s(hole binary64 (+ 1 (* (pow y 4) (+ 1/2 (* 1/24 (pow y 4)))))))
#s(approx (cosh (* y y)) #s(hole binary64 (+ 1 (* (pow y 4) (+ 1/2 (* (pow y 4) (+ 1/24 (* 1/720 (pow y 4)))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (sinh (* y y)) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (* (sinh (* y y)) x) #s(hole binary64 (* (pow y 2) (+ x (* 1/6 (* x (pow y 4)))))))
#s(approx (* (sinh (* y y)) x) #s(hole binary64 (* (pow y 2) (+ x (* (pow y 4) (+ (* 1/120 (* x (pow y 4))) (* 1/6 x)))))))
#s(approx (* (sinh (* y y)) x) #s(hole binary64 (* (pow y 2) (+ x (* (pow y 4) (+ (* 1/6 x) (* (pow y 4) (+ (* 1/5040 (* x (pow y 4))) (* 1/120 x)))))))))
#s(approx (sinh (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (sinh (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* 1/6 (pow y 4))))))
#s(approx (sinh (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* (pow y 4) (+ 1/6 (* 1/120 (pow y 4))))))))
#s(approx (sinh (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* (pow y 4) (+ 1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 4))))))))))
#s(approx (exp (* y y)) #s(hole binary64 (exp (pow y 2))))
#s(approx (+ (* y y) 1) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) 1) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))
#s(approx (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) #s(hole binary64 (+ (* 1/2 (* x (+ (exp (pow y 2)) (/ 1 (exp (pow y 2)))))) (* 1/2 (* x (- (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))))
#s(approx (cosh (* y y)) #s(hole binary64 (* 1/2 (+ (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))
#s(approx (sinh (* y y)) #s(hole binary64 (* 1/2 (- (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))

Outputs
#s(approx (* x (exp (* y y))) x)
x
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1 binary64)) (-.f64 (.f64 y y) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (.f64 y y) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (fabs.f64 y) (fabs.f64 y) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(.f64 (exp.f64 (.f64 y y)) x)
(.f64 x (exp.f64 (.f64 y y)))
(+.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x))
(+.f64 (.f64 (sinh.f64 (.f64 y y)) x) (.f64 (cosh.f64 (.f64 y y)) x))
(-.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (neg.f64 (sinh.f64 (.f64 y y))) x))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (cosh.f64 (.f64 y y)) x)) (.f64 (.f64 (sinh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x))) (-.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 y y)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (cosh.f64 (.f64 y y)) x) (-.f64 (.f64 (.f64 (sinh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x)) (.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x)))))
(fma.f64 (cosh.f64 (.f64 y y)) x (.f64 (sinh.f64 (*.f64 y y)) x))
(fma.f64 (sinh.f64 (.f64 y y)) x (.f64 (cosh.f64 (*.f64 y y)) x))
(fma.f64 x (cosh.f64 (.f64 y y)) (.f64 (sinh.f64 (*.f64 y y)) x))
(fma.f64 x (sinh.f64 (.f64 y y)) (.f64 (cosh.f64 (*.f64 y y)) x))
(.f64 (cosh.f64 (.f64 y y)) x)
(.f64 x (cosh.f64 (.f64 y y)))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 y y))) (exp.f64 (.f64 y y))) #s(literal 2 binary64))
(cosh.f64 (*.f64 y y))
(cosh.f64 (neg.f64 (*.f64 y y)))
(*.f64 y y)
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(.f64 (sinh.f64 (.f64 y y)) x)
(.f64 x (sinh.f64 (.f64 y y)))
(/.f64 (-.f64 (exp.f64 (.f64 y y)) (exp.f64 (neg.f64 (.f64 y y)))) #s(literal 2 binary64))
(sinh.f64 (*.f64 y y))
#s(approx (* x (exp (* y y))) (.f64 (exp.f64 (.f64 y y)) x))
#s(approx x x)
#s(approx (* x (exp (* y y))) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 y y))) (exp.f64 (.f64 y y))) (-.f64 (exp.f64 (.f64 y y)) (exp.f64 (neg.f64 (.f64 y y)))))) x))
#s(approx (* (cosh (* y y)) x) (.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (exp.f64 (neg.f64 (.f64 y y))) (exp.f64 (.f64 y y)))))
#s(approx (* (sinh (* y y)) x) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 (.f64 y y)) (exp.f64 (neg.f64 (.f64 y y))))))
#s(approx (* x (exp (* y y))) (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (exp.f64 (neg.f64 (.f64 y y))) (exp.f64 (.f64 y y))) (-.f64 (exp.f64 (.f64 y y)) (exp.f64 (neg.f64 (.f64 y y)))))) x)))
#s(approx (* x (exp (* y y))) x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) (.f64 #s(literal 1/2 binary64) x)) (.f64 y y) x) (*.f64 y y) x))
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
#s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(approx (+ 1 (* y y)) (fma.f64 y y #s(literal 1 binary64)))
#s(approx y y)
#s(approx (* x (exp (* y y))) x)
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y) x) (*.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) (.f64 #s(literal 1/2 binary64) x)) (.f64 y y) x) (*.f64 y y) x))
#s(approx (* (cosh (* y y)) x) x)
#s(approx (* (cosh (* y y)) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal 4 binary64)) x))
#s(approx (* (cosh (* y y)) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal 4 binary64)) x))
#s(approx (* (cosh (* y y)) x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) x)) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal 4 binary64)) x))
#s(approx (cosh (* y y)) #s(literal 1 binary64))
#s(approx (cosh (* y y)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (cosh (* y y)) (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (cosh (* y y)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx (* (sinh (* y y)) x) (.f64 (.f64 y y) x))
#s(approx (* (sinh (* y y)) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (pow.f64 y #s(literal 4 binary64)) x) (*.f64 y y)))
#s(approx (* (sinh (* y y)) x) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/6 binary64) x)) (pow.f64 y #s(literal 4 binary64)) x) (.f64 y y)))
#s(approx (* (sinh (* y y)) x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/120 binary64) x)) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/6 binary64) x)) (pow.f64 y #s(literal 4 binary64)) x) (*.f64 y y)))
#s(approx (sinh (* y y)) (*.f64 y y))
#s(approx (sinh (* y y)) (.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (sinh (* y y)) (.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (sinh (* y y)) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (exp (* y y)) (exp.f64 (*.f64 y y)))
#s(approx (+ 1 (* y y)) (*.f64 y y))
#s(approx (+ 1 (* y y)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 y y)))
#s(approx (* x (exp (* y y))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (exp.f64 (neg.f64 (.f64 y y))) (exp.f64 (.f64 y y))) x (.f64 (-.f64 (exp.f64 (.f64 y y)) (exp.f64 (neg.f64 (.f64 y y)))) x))))
#s(approx (cosh (* y y)) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (.f64 y y))) (exp.f64 (*.f64 y y)))))
#s(approx (sinh (* y y)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 y y)) (exp.f64 (neg.f64 (*.f64 y y))))))

eval11.0ms (0.2%)

Memory: 7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 683 to 326 computations (52.3% saved)

prune4.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	72	5	77

Accuracy

100.0%

Counts

77 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (sinh.f64 (.f64 y y)) x (.f64 (cosh.f64 (*.f64 y y)) x))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	82.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	32.0%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ 1 (* y y)) (*.f64 y y))))
✓	54.1%	#s(approx (* x (exp (* y y))) x)

Compiler

Compiled 38 to 36 computations (5.3% saved)

series13.0ms (0.2%)

Memory

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

Counts

10 → 39

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) #s(approx (+ 1 (* y y)) (*.f64 y y))))
x
#s(approx (exp (* y y)) #s(approx (+ 1 (* y y)) (*.f64 y y)))
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
y
(fma.f64 (sinh.f64 (.f64 y y)) x (.f64 (cosh.f64 (*.f64 y y)) x))
(sinh.f64 (*.f64 y y))
(.f64 (cosh.f64 (.f64 y y)) x)
(cosh.f64 (*.f64 y y))

Outputs
#s(approx (* x (exp (* y y))) #s(hole binary64 (* x (exp (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) #s(hole binary64 (* x (+ (* 1/2 (+ (exp (pow y 2)) (/ 1 (exp (pow y 2))))) (* 1/2 (- (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (* 1/2 (* x (+ (exp (pow y 2)) (/ 1 (exp (pow y 2))))))))
#s(approx (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (+ (exp (pow y 2)) (/ 1 (exp (pow y 2))))) (* -1/2 (- (exp (pow y 2)) (/ 1 (exp (pow y 2))))))))))
#s(approx (* x (exp (* y y))) #s(hole binary64 x))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))))
#s(approx (exp (* y y)) #s(hole binary64 1))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) #s(hole binary64 x))
#s(approx (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) #s(hole binary64 (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))))
#s(approx (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) #s(hole binary64 (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))))
#s(approx (sinh (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (sinh (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* 1/6 (pow y 4))))))
#s(approx (sinh (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* (pow y 4) (+ 1/6 (* 1/120 (pow y 4))))))))
#s(approx (sinh (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* (pow y 4) (+ 1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 4))))))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 x))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (+ x (* 1/2 (* x (pow y 4))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (+ x (* (pow y 4) (+ (* 1/24 (* x (pow y 4))) (* 1/2 x))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (+ x (* (pow y 4) (+ (* 1/2 x) (* (pow y 4) (+ (* 1/720 (* x (pow y 4))) (* 1/24 x))))))))
#s(approx (cosh (* y y)) #s(hole binary64 1))
#s(approx (cosh (* y y)) #s(hole binary64 (+ 1 (* 1/2 (pow y 4)))))
#s(approx (cosh (* y y)) #s(hole binary64 (+ 1 (* (pow y 4) (+ 1/2 (* 1/24 (pow y 4)))))))
#s(approx (cosh (* y y)) #s(hole binary64 (+ 1 (* (pow y 4) (+ 1/2 (* (pow y 4) (+ 1/24 (* 1/720 (pow y 4)))))))))
#s(approx (exp (* y y)) #s(hole binary64 (exp (pow y 2))))
#s(approx (+ 1 (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))
#s(approx (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) #s(hole binary64 (+ (* 1/2 (* x (+ (exp (pow y 2)) (/ 1 (exp (pow y 2)))))) (* 1/2 (* x (- (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))))
#s(approx (sinh (* y y)) #s(hole binary64 (* 1/2 (- (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))
#s(approx (cosh (* y y)) #s(hole binary64 (* 1/2 (+ (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((* x (exp (* y y))) x (exp (* y y)) (+ 1 (* y y)) (* y y) y (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) (sinh (* y y)) (* (cosh (* y y)) x) (cosh (* y y)))
2.0ms	y	@	inf	((* x (exp (* y y))) x (exp (* y y)) (+ 1 (* y y)) (* y y) y (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) (sinh (* y y)) (* (cosh (* y y)) x) (cosh (* y y)))
2.0ms	y	@	-inf	((* x (exp (* y y))) x (exp (* y y)) (+ 1 (* y y)) (* y y) y (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) (sinh (* y y)) (* (cosh (* y y)) x) (cosh (* y y)))
2.0ms	x	@	inf	((* x (exp (* y y))) x (exp (* y y)) (+ 1 (* y y)) (* y y) y (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) (sinh (* y y)) (* (cosh (* y y)) x) (cosh (* y y)))
2.0ms	x	@	0	((* x (exp (* y y))) x (exp (* y y)) (+ 1 (* y y)) (* y y) y (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) (sinh (* y y)) (* (cosh (* y y)) x) (cosh (* y y)))

rewrite2.7s (47.8%)

Memory

-27.8MiB live, 927.5MiB allocated; 282ms collecting garbage

Counts

49 → 119

Calls

Call 1

Inputs
(.f64 x #s(approx (exp ( y y)) #s(approx (+ 1 (* y y)) (*.f64 y y))))
x
#s(approx (exp (* y y)) #s(approx (+ 1 (* y y)) (*.f64 y y)))
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
y
(fma.f64 (sinh.f64 (.f64 y y)) x (.f64 (cosh.f64 (*.f64 y y)) x))
(sinh.f64 (*.f64 y y))
(.f64 (cosh.f64 (.f64 y y)) x)
(cosh.f64 (*.f64 y y))
#s(approx (* x (exp (* y y))) #s(hole binary64 (* x (exp (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) #s(hole binary64 (* x (+ (* 1/2 (+ (exp (pow y 2)) (/ 1 (exp (pow y 2))))) (* 1/2 (- (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (* 1/2 (* x (+ (exp (pow y 2)) (/ 1 (exp (pow y 2))))))))
#s(approx (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (+ (exp (pow y 2)) (/ 1 (exp (pow y 2))))) (* -1/2 (- (exp (pow y 2)) (/ 1 (exp (pow y 2))))))))))
#s(approx (* x (exp (* y y))) #s(hole binary64 x))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))))
#s(approx (* x (exp (* y y))) #s(hole binary64 (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))))
#s(approx (exp (* y y)) #s(hole binary64 1))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))))
#s(approx (exp (* y y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) #s(hole binary64 x))
#s(approx (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) #s(hole binary64 (+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))))
#s(approx (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) #s(hole binary64 (+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))))
#s(approx (sinh (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (sinh (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* 1/6 (pow y 4))))))
#s(approx (sinh (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* (pow y 4) (+ 1/6 (* 1/120 (pow y 4))))))))
#s(approx (sinh (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* (pow y 4) (+ 1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 4))))))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 x))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (+ x (* 1/2 (* x (pow y 4))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (+ x (* (pow y 4) (+ (* 1/24 (* x (pow y 4))) (* 1/2 x))))))
#s(approx (* (cosh (* y y)) x) #s(hole binary64 (+ x (* (pow y 4) (+ (* 1/2 x) (* (pow y 4) (+ (* 1/720 (* x (pow y 4))) (* 1/24 x))))))))
#s(approx (cosh (* y y)) #s(hole binary64 1))
#s(approx (cosh (* y y)) #s(hole binary64 (+ 1 (* 1/2 (pow y 4)))))
#s(approx (cosh (* y y)) #s(hole binary64 (+ 1 (* (pow y 4) (+ 1/2 (* 1/24 (pow y 4)))))))
#s(approx (cosh (* y y)) #s(hole binary64 (+ 1 (* (pow y 4) (+ 1/2 (* (pow y 4) (+ 1/24 (* 1/720 (pow y 4)))))))))
#s(approx (exp (* y y)) #s(hole binary64 (exp (pow y 2))))
#s(approx (+ 1 (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))
#s(approx (+ (* (sinh (* y y)) x) (* (cosh (* y y)) x)) #s(hole binary64 (+ (* 1/2 (* x (+ (exp (pow y 2)) (/ 1 (exp (pow y 2)))))) (* 1/2 (* x (- (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))))
#s(approx (sinh (* y y)) #s(hole binary64 (* 1/2 (- (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))
#s(approx (cosh (* y y)) #s(hole binary64 (* 1/2 (+ (exp (pow y 2)) (/ 1 (exp (pow y 2)))))))

Outputs
(.f64 x #s(approx (exp ( y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))
x
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (pow.f64 y #s(literal 1 binary64)) y)
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 y (.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1 binary64))) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (pow.f64 y #s(literal 1 binary64))) (fabs.f64 (pow.f64 y #s(literal 1 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 y #s(literal 1 binary64))))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal 1 binary64)) (.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 y y))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (log.f64 y))))
(neg.f64 (neg.f64 (*.f64 y y)))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
y
(.f64 (exp.f64 (.f64 y y)) x)
(.f64 x (exp.f64 (.f64 y y)))
(.f64 x (-.f64 (sinh.f64 (.f64 y y)) (neg.f64 (cosh.f64 (*.f64 y y)))))
(+.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x))
(+.f64 (.f64 (sinh.f64 (.f64 y y)) x) (.f64 (cosh.f64 (.f64 y y)) x))
(+.f64 (.f64 (sinh.f64 (.f64 y y)) x) (.f64 (neg.f64 (neg.f64 (cosh.f64 (.f64 y y)))) x))
(+.f64 (/.f64 (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 3 binary64)) (fma.f64 (.f64 (cosh.f64 (.f64 y y)) x) (-.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x)) (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cosh.f64 (.f64 y y)) x) #s(literal 3 binary64)) (fma.f64 (.f64 (cosh.f64 (.f64 y y)) x) (-.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x)) (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 2 binary64)))))
(-.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (neg.f64 x) (sinh.f64 (.f64 y y))))
(-.f64 (.f64 (sinh.f64 (.f64 y y)) x) (.f64 (neg.f64 x) (cosh.f64 (.f64 y y))))
(-.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (neg.f64 (sinh.f64 (.f64 y y))) x))
(-.f64 (.f64 (sinh.f64 (.f64 y y)) x) (.f64 (neg.f64 (cosh.f64 (.f64 y y))) x))
(-.f64 (/.f64 (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 2 binary64)) (.f64 x (-.f64 (sinh.f64 (.f64 y y)) (cosh.f64 (.f64 y y))))) (/.f64 (pow.f64 (.f64 (cosh.f64 (.f64 y y)) x) #s(literal 2 binary64)) (.f64 x (-.f64 (sinh.f64 (.f64 y y)) (cosh.f64 (.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (cosh.f64 (.f64 y y)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 (.f64 y y)) x) (-.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x)) (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (exp.f64 (.f64 y y)) x) (.f64 x (-.f64 (sinh.f64 (.f64 y y)) (cosh.f64 (.f64 y y))))) (.f64 x (-.f64 (sinh.f64 (.f64 y y)) (cosh.f64 (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (.f64 y y)) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 2 binary64))) (-.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (cosh.f64 (.f64 y y)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (cosh.f64 (.f64 y y)) x) (-.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x)) (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (exp.f64 (.f64 y y)) x) (.f64 x (-.f64 (sinh.f64 (.f64 y y)) (cosh.f64 (.f64 y y)))))) (neg.f64 (.f64 x (-.f64 (sinh.f64 (.f64 y y)) (cosh.f64 (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (cosh.f64 (.f64 y y)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 y y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (*.f64 y y)) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (cosh.f64 (.f64 y y))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sinh.f64 (.f64 y y)) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 y y)) x) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 (.f64 y y)) x) (.f64 (neg.f64 (cosh.f64 (*.f64 y y))) x)))))
(fma.f64 (sinh.f64 (.f64 y y)) x (.f64 (cosh.f64 (*.f64 y y)) x))
(fma.f64 (cosh.f64 (.f64 y y)) x (.f64 (sinh.f64 (*.f64 y y)) x))
(fma.f64 x (cosh.f64 (.f64 y y)) (.f64 (sinh.f64 (*.f64 y y)) x))
(fma.f64 x (sinh.f64 (.f64 y y)) (.f64 (cosh.f64 (*.f64 y y)) x))
(fma.f64 (sinh.f64 (.f64 y y)) x (.f64 (neg.f64 (neg.f64 (cosh.f64 (*.f64 y y)))) x))
(fma.f64 x (sinh.f64 (.f64 y y)) (.f64 (neg.f64 (neg.f64 (cosh.f64 (*.f64 y y)))) x))
(-.f64 (/.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (.f64 y y))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 y y))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 y y) #s(literal 2 binary64))) (exp.f64 (.f64 (neg.f64 (.f64 y y)) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y y))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 y y)))) (neg.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 y y) #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 (.f64 y y)) #s(literal 3 binary64)))) (.f64 (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 (.f64 y y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 (*.f64 y y) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(sinh.f64 (*.f64 y y))
(.f64 (cosh.f64 (.f64 y y)) x)
(.f64 x (cosh.f64 (.f64 y y)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y y))) x) #s(literal 2 binary64))
(+.f64 (/.f64 (exp.f64 (neg.f64 (.f64 y y))) #s(literal 2 binary64)) (/.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (.f64 y y))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 y y))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 y y) #s(literal 2 binary64))) (exp.f64 (.f64 (neg.f64 (.f64 y y)) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y y))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 y y)))) (neg.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 y y) #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 (.f64 y y)) #s(literal 3 binary64)))) (.f64 (+.f64 (expm1.f64 (.f64 (neg.f64 (.f64 y y)) #s(literal 2 binary64))) (exp.f64 (.f64 (*.f64 y y) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(cosh.f64 (*.f64 y y))
(cosh.f64 (neg.f64 (*.f64 y y)))
#s(approx (* (exp (* y y)) x) (.f64 (exp.f64 (.f64 y y)) x))
#s(approx x x)
#s(approx (* (exp (* y y)) x) (.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 y y)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y y)))))))
#s(approx (* (cosh (* y y)) x) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 y y))) (.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (exp (* y y)) x) (.f64 (.f64 (neg.f64 x) #s(literal -1/2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 y y)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y y))))))
#s(approx (* (exp (* y y)) x) x)
#s(approx (* (exp (* y y)) x) (fma.f64 (*.f64 y y) x x))
#s(approx (* (exp (* y y)) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) x) (*.f64 y y) x))
#s(approx (* (exp (* y y)) x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) (.f64 #s(literal 1/2 binary64) x)) (.f64 y y) x) (*.f64 y y) x))
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
#s(approx (exp (* y y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)))
#s(approx (exp (* y y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (+ (* y y) 1) #s(literal 1 binary64))
#s(approx (+ (* y y) 1) (fma.f64 y y #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (* (exp (* y y)) x) x)
#s(approx (* (exp (* y y)) x) (fma.f64 (*.f64 y y) x x))
#s(approx (* (exp (* y y)) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/2 binary64) x) (*.f64 y y) x))
#s(approx (* (exp (* y y)) x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 y y) (.f64 #s(literal 1/2 binary64) x)) (.f64 y y) x) (*.f64 y y) x))
#s(approx (sinh (* y y)) (*.f64 y y))
#s(approx (sinh (* y y)) (.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (sinh (* y y)) (.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (sinh (* y y)) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (* (cosh (* y y)) x) x)
#s(approx (* (cosh (* y y)) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal 4 binary64)) x))
#s(approx (* (cosh (* y y)) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal 4 binary64)) x))
#s(approx (* (cosh (* y y)) x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) x)) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal 4 binary64)) x))
#s(approx (cosh (* y y)) #s(literal 1 binary64))
#s(approx (cosh (* y y)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh (* y y)) (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (cosh (* y y)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) (exp.f64 (*.f64 y y)))
#s(approx (+ (* y y) 1) (*.f64 y y))
#s(approx (+ (* y y) 1) (fma.f64 y y #s(literal 1 binary64)))
#s(approx (* (exp (* y y)) x) (.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 y y)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y y)))))))
#s(approx (sinh (* y y)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y y))) #s(literal 1/2 binary64)))
#s(approx (cosh (* y y)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 y y))) #s(literal 1/2 binary64)))

eval21.0ms (0.4%)

Memory: 11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 329 to 561 computations (57.8% saved)

prune7.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	138	5	143

Accuracy

100.0%

Counts

143 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (sinh.f64 (.f64 y y)) x (.f64 (cosh.f64 (*.f64 y y)) x))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	82.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	32.0%	(.f64 x #s(approx (exp ( y y)) #s(approx (+ 1 (* y y)) (*.f64 y y))))
✓	54.1%	#s(approx (* x (exp (* y y))) x)

Compiler

Compiled 73 to 60 computations (17.8% saved)

regimes13.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) x)
(.f64 x #s(approx (exp ( y y)) #s(approx (+ 1 (* y y)) (*.f64 y y))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x (exp.f64 (.f64 y y)))
(fma.f64 (sinh.f64 (.f64 y y)) x (.f64 (cosh.f64 (*.f64 y y)) x))
(+.f64 (.f64 (cosh.f64 (.f64 y y)) x) (.f64 (sinh.f64 (.f64 y y)) x))

Outputs
(.f64 x (exp.f64 (.f64 y y)))

Calls

5 calls:

3.0ms	x
3.0ms	y
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 y y)`
100.0%	1	`(exp.f64 (*.f64 y y))`
100.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes10.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) x)
(.f64 x #s(approx (exp ( y y)) #s(approx (+ 1 (* y y)) (*.f64 y y))))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))

Outputs
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))

Calls

5 calls:

2.0ms	y
2.0ms	x
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(*.f64 y y)
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
82.3%	1	`(*.f64 y y)`
82.3%	1	`(exp.f64 (*.f64 y y))`
82.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
82.3%	1	`x`
82.3%	1	`y`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes8.0ms (0.1%)

Memory

-39.6MiB live, 7.5MiB allocated; 2ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) x)
(.f64 x #s(approx (exp ( y y)) #s(approx (+ 1 (* y y)) (*.f64 y y))))

Outputs
#s(approx (* x (exp (* y y))) x)
(.f64 x #s(approx (exp ( y y)) #s(approx (+ 1 (* y y)) (*.f64 y y))))

Calls

5 calls:

2.0ms	(*.f64 y y)
2.0ms	y
1.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	x
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
54.1%	1	`x`
81.7%	2	`(*.f64 y y)`
81.7%	2	`y`
81.7%	2	`(exp.f64 (*.f64 y y))`
81.7%	2	`(.f64 x (exp.f64 (.f64 y y)))`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes5.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) x)

Outputs
#s(approx (* x (exp (* y y))) x)

Calls

5 calls:

1.0ms	x
1.0ms	y
1.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	(*.f64 y y)
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
54.1%	1	`x`
54.1%	1	`(*.f64 y y)`
54.1%	1	`y`
54.1%	1	`(exp.f64 (*.f64 y y))`
54.1%	1	`(.f64 x (exp.f64 (.f64 y y)))`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.913811488590422e+307	+inf

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations1.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 25 to 21 computations (16% saved)

preprocess51.0ms (0.9%)

Memory

37.2MiB live, 37.2MiB allocated; 0ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 232 to 204 computations (12.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample607.0ms (10.8%)

preprocess57.0ms (1%)

series28.0ms (0.5%)

rewrite1.1s (19.1%)

eval8.0ms (0.1%)

prune2.0ms (0%)

series18.0ms (0.3%)

rewrite998.0ms (17.8%)

eval11.0ms (0.2%)

prune4.0ms (0.1%)

series13.0ms (0.2%)

rewrite2.7s (47.8%)

eval21.0ms (0.4%)

prune7.0ms (0.1%)

regimes13.0ms (0.2%)

regimes10.0ms (0.2%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

derivations1.0ms (0%)

preprocess51.0ms (0.9%)

end0.0ms (0%)

Profiling