Metrics for Data.Random.Distribution.Normal:normalF from random-fu-0.2.6.2

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample678.0ms (26.8%)

Memory

36.4MiB live, 1 206.0MiB allocated; 228ms collecting garbage

Samples

449.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-mult!: 92.0ms (55% of total)

ival-exp: 73.0ms (43.7% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess166.0ms (6.6%)

Memory

-28.0MiB live, 65.1MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	63	40
2	197	40
3	707	40
4	7993	40

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs y)

Compiler

Compiled 10 to 10 computations (0% saved)

series7.0ms (0.3%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Counts

5 → 11

Calls

Call 1

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

Outputs
#s(approx (exp (* (* x y) y)) #s(hole binary64 1))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (pow y 2)))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))))
#s(approx (* (* x y) y) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (exp (* x (pow y 2)))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))))
#s(approx y #s(hole binary64 y))

Calls

6 calls:

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

rewrite219.0ms (8.7%)

Memory

-21.5MiB live, 172.0MiB allocated; 92ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	185
0	63	183
1	354	181
2	3223	181
0	8541	170
1	24702	170

Stop Event

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

Counts

16 → 52

Calls

Call 1

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

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

eval5.0ms (0.2%)

Memory: 8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 259 to 132 computations (49% saved)

prune2.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Accuracy

100.0%

Counts

49 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (exp.f64 (.f64 (.f64 (*.f64 y y) x) #s(literal 2 binary64))))
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	67.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	51.4%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 29 to 29 computations (0% saved)

series9.0ms (0.3%)

Memory

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

Counts

12 → 26

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(*.f64 y y)
y
x
(sqrt.f64 (exp.f64 (.f64 (.f64 (*.f64 y y) x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (*.f64 y y) x) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 y y) x) #s(literal 2 binary64))
(.f64 (.f64 y y) x)
#s(literal 2 binary64)

Outputs
#s(approx (exp (* (* x y) y)) #s(hole binary64 1))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (pow y 2)))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (exp (* (* (* y y) x) 2))) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 2 (pow y 4)) (pow y 4)))) (pow y 2))))))
#s(approx (sqrt (exp (* (* (* y y) x) 2))) #s(hole binary64 (+ 1 (* x (+ (* x (+ (* 1/2 (* x (- (* 4/3 (pow y 6)) (* (pow y 2) (- (* 2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* 2 (pow y 4)) (pow y 4))))) (pow y 2))))))
#s(approx (exp (* (* (* y y) x) 2)) #s(hole binary64 (+ 1 (* 2 (* x (pow y 2))))))
#s(approx (exp (* (* (* y y) x) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 (* x (pow y 4))) (* 2 (pow y 2)))))))
#s(approx (exp (* (* (* y y) x) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 (pow y 2)) (* x (+ (* 4/3 (* x (pow y 6))) (* 2 (pow y 4)))))))))
#s(approx (* (* (* y y) x) 2) #s(hole binary64 (* 2 (* x (pow y 2)))))
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (exp (* x (pow y 2)))))
#s(approx (+ (* (* y y) x) 1) #s(hole binary64 (* x (+ (/ 1 x) (pow y 2)))))
#s(approx (sqrt (exp (* (* (* y y) x) 2))) #s(hole binary64 (sqrt (exp (* 2 (* x (pow y 2)))))))
#s(approx (exp (* (* (* y y) x) 2)) #s(hole binary64 (exp (* 2 (* x (pow y 2))))))
#s(approx (+ (* (* y y) x) 1) #s(hole binary64 (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (sqrt (exp (* (* (* y y) x) 2))) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow y 2) (- (* 2 (pow x 2)) (pow x 2)))))))))
#s(approx (sqrt (exp (* (* (* y y) x) 2))) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2))))))))))
#s(approx (exp (* (* (* y y) x) 2)) #s(hole binary64 (+ 1 (* (pow y 2) (+ (* 2 x) (* 2 (* (pow x 2) (pow y 2))))))))
#s(approx (exp (* (* (* y y) x) 2)) #s(hole binary64 (+ 1 (* (pow y 2) (+ (* 2 x) (* (pow y 2) (+ (* 4/3 (* (pow x 3) (pow y 2))) (* 2 (pow x 2)))))))))
#s(approx (+ (* (* y y) x) 1) #s(hole binary64 (* (pow y 2) (+ x (/ 1 (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((exp (* (* x y) y)) 1 (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) y x (sqrt (exp (* (* (* y y) x) 2))) (exp (* (* (* y y) x) 2)) (* (* (* y y) x) 2) (* (* y y) x) 2)
1.0ms	x	@	0	((exp (* (* x y) y)) 1 (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) y x (sqrt (exp (* (* (* y y) x) 2))) (exp (* (* (* y y) x) 2)) (* (* (* y y) x) 2) (* (* y y) x) 2)
1.0ms	y	@	0	((exp (* (* x y) y)) 1 (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) y x (sqrt (exp (* (* (* y y) x) 2))) (exp (* (* (* y y) x) 2)) (* (* (* y y) x) 2) (* (* y y) x) 2)
1.0ms	x	@	-inf	((exp (* (* x y) y)) 1 (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) y x (sqrt (exp (* (* (* y y) x) 2))) (exp (* (* (* y y) x) 2)) (* (* (* y y) x) 2) (* (* y y) x) 2)
1.0ms	y	@	inf	((exp (* (* x y) y)) 1 (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) y x (sqrt (exp (* (* (* y y) x) 2))) (exp (* (* (* y y) x) 2)) (* (* (* y y) x) 2) (* (* y y) x) 2)

rewrite263.0ms (10.4%)

Memory

11.5MiB live, 200.7MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	657
0	169	632
1	1107	608
0	8247	575
1	29245	575

Stop Event

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

Counts

38 → 134

Calls

Call 1

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

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

eval15.0ms (0.6%)

Memory: -20.5MiB live, 25.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 032 to 477 computations (53.8% saved)

prune5.0ms (0.2%)

Memory

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

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	136	3	139
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	137	6	143

Accuracy

100.0%

Counts

143 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (exp.f64 (.f64 (+.f64 x x) (.f64 y y))))
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	67.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	64.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	67.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (.f64 (.f64 y y) (*.f64 y y))) x #s(literal 1 binary64)))
✓	51.4%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 49 to 48 computations (2% saved)

series9.0ms (0.4%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

15 → 29

Calls

Call 1

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

Outputs
#s(approx (exp (* (* x y) y)) #s(hole binary64 1))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (pow y 2)))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (sqrt (exp (* (+ x x) (* y y)))) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 2 (pow y 4)) (pow y 4)))) (pow y 2))))))
#s(approx (sqrt (exp (* (+ x x) (* y y)))) #s(hole binary64 (+ 1 (* x (+ (* x (+ (* 1/2 (* x (- (* 4/3 (pow y 6)) (* (pow y 2) (- (* 2 (pow y 4)) (pow y 4)))))) (* 1/2 (- (* 2 (pow y 4)) (pow y 4))))) (pow y 2))))))
#s(approx (exp (* (+ x x) (* y y))) #s(hole binary64 (+ 1 (* 2 (* x (pow y 2))))))
#s(approx (exp (* (+ x x) (* y y))) #s(hole binary64 (+ 1 (* x (+ (* 2 (* x (pow y 4))) (* 2 (pow y 2)))))))
#s(approx (exp (* (+ x x) (* y y))) #s(hole binary64 (+ 1 (* x (+ (* 2 (pow y 2)) (* x (+ (* 4/3 (* x (pow y 6))) (* 2 (pow y 4)))))))))
#s(approx (* (+ x x) (* y y)) #s(hole binary64 (* 2 (* x (pow y 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (exp (* x (pow y 2)))))
#s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) #s(hole binary64 (* x (+ (/ 1 x) (pow y 2)))))
#s(approx (sqrt (exp (* (+ x x) (* y y)))) #s(hole binary64 (sqrt (exp (* 2 (* x (pow y 2)))))))
#s(approx (exp (* (+ x x) (* y y))) #s(hole binary64 (exp (* 2 (* x (pow y 2))))))
#s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) #s(hole binary64 (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))))
#s(approx (sqrt (* (* y y) (* y y))) #s(hole binary64 (pow y 2)))
#s(approx (* (* y y) (* y y)) #s(hole binary64 (pow y 4)))
#s(approx y #s(hole binary64 y))
#s(approx (sqrt (exp (* (+ x x) (* y y)))) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow y 2) (- (* 2 (pow x 2)) (pow x 2)))))))))
#s(approx (sqrt (exp (* (+ x x) (* y y)))) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2))))))))))
#s(approx (exp (* (+ x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (+ (* 2 x) (* 2 (* (pow x 2) (pow y 2))))))))
#s(approx (exp (* (+ x x) (* y y))) #s(hole binary64 (+ 1 (* (pow y 2) (+ (* 2 x) (* (pow y 2) (+ (* 4/3 (* (pow x 3) (pow y 2))) (* 2 (pow x 2)))))))))
#s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) #s(hole binary64 (* (pow y 2) (+ x (/ 1 (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((exp (* (* x y) y)) (+ (* (sqrt (* (* y y) (* y y))) x) 1) (sqrt (* (* y y) (* y y))) (* (* y y) (* y y)) (* y y) y x 1 (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (sqrt (exp (* (+ x x) (* y y)))) (exp (* (+ x x) (* y y))) (* (+ x x) (* y y)) (+ x x))
2.0ms	y	@	inf	((exp (* (* x y) y)) (+ (* (sqrt (* (* y y) (* y y))) x) 1) (sqrt (* (* y y) (* y y))) (* (* y y) (* y y)) (* y y) y x 1 (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (sqrt (exp (* (+ x x) (* y y)))) (exp (* (+ x x) (* y y))) (* (+ x x) (* y y)) (+ x x))
1.0ms	x	@	-inf	((exp (* (* x y) y)) (+ (* (sqrt (* (* y y) (* y y))) x) 1) (sqrt (* (* y y) (* y y))) (* (* y y) (* y y)) (* y y) y x 1 (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (sqrt (exp (* (+ x x) (* y y)))) (exp (* (+ x x) (* y y))) (* (+ x x) (* y y)) (+ x x))
1.0ms	x	@	inf	((exp (* (* x y) y)) (+ (* (sqrt (* (* y y) (* y y))) x) 1) (sqrt (* (* y y) (* y y))) (* (* y y) (* y y)) (* y y) y x 1 (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (sqrt (exp (* (+ x x) (* y y)))) (exp (* (+ x x) (* y y))) (* (+ x x) (* y y)) (+ x x))
1.0ms	x	@	0	((exp (* (* x y) y)) (+ (* (sqrt (* (* y y) (* y y))) x) 1) (sqrt (* (* y y) (* y y))) (* (* y y) (* y y)) (* y y) y x 1 (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (sqrt (exp (* (+ x x) (* y y)))) (exp (* (+ x x) (* y y))) (* (+ x x) (* y y)) (+ x x))

rewrite215.0ms (8.5%)

Memory

5.1MiB live, 183.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	744
0	187	675
1	1158	647
0	8178	614
1	29626	614

Stop Event

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

Counts

44 → 200

Calls

Call 1

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

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

eval16.0ms (0.6%)

Memory: -13.5MiB live, 32.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 016 to 511 computations (49.7% saved)

prune5.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	141	7	148

Accuracy

100.0%

Counts

148 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (exp.f64 (.f64 (+.f64 x x) (.f64 y y))))
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	67.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
✓	64.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
✓	67.9%	#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (.f64 (.f64 y y) (*.f64 y y))) x #s(literal 1 binary64)))
▶	19.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (.f64 (.f64 y y) x)))
✓	51.4%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 65 to 63 computations (3.1% saved)

series4.0ms (0.1%)

Memory

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

Counts

6 → 14

Calls

Call 1

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

Outputs
#s(approx (exp (* (* x y) y)) #s(hole binary64 1))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (pow y 2)))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))))
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (exp (* x (pow y 2)))))
#s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) #s(hole binary64 (* x (+ (/ 1 x) (pow y 2)))))
#s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) #s(hole binary64 (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))))
#s(approx (exp (* (* x y) y)) #s(hole binary64 (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) #s(hole binary64 (* (pow y 2) (+ x (/ 1 (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((exp (* (* x y) y)) (+ (* (sqrt (* (* y y) (* y y))) x) 1) (* (* y y) x) (* y y) y x)
1.0ms	y	@	-inf	((exp (* (* x y) y)) (+ (* (sqrt (* (* y y) (* y y))) x) 1) (* (* y y) x) (* y y) y x)
1.0ms	x	@	-inf	((exp (* (* x y) y)) (+ (* (sqrt (* (* y y) (* y y))) x) 1) (* (* y y) x) (* y y) y x)
1.0ms	x	@	inf	((exp (* (* x y) y)) (+ (* (sqrt (* (* y y) (* y y))) x) 1) (* (* y y) x) (* y y) y x)
0.0ms	x	@	0	((exp (* (* x y) y)) (+ (* (sqrt (* (* y y) (* y y))) x) 1) (* (* y y) x) (* y y) y x)

rewrite201.0ms (7.9%)

Memory

5.0MiB live, 150.5MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	294
0	83	261
1	490	253
2	4478	253
0	9048	234
1	27616	234

Stop Event

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

Counts

20 → 59

Calls

Call 1

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

Outputs
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (.f64 (.f64 y y) x)))
#s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (.f64 (.f64 y y) x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y x)) y)
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 y x))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 y y))
(.f64 (.f64 x (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 x (neg.f64 y)) (neg.f64 y))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) x))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) x))
(.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64))
(.f64 (.f64 y y) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 y y) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))
(.f64 (.f64 y x) (*.f64 y #s(literal 1 binary64)))
(.f64 (.f64 y x) y)
(.f64 y (.f64 (*.f64 y x) #s(literal 1 binary64)))
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))
(/.f64 (.f64 (.f64 (*.f64 y y) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 y y) x)) #s(literal 2 binary64))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.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 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 y y)
(pow.f64 (neg.f64 (fabs.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (*.f64 y y) y) y) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (.f64 (.f64 (*.f64 y y) y) y))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
y
x
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 y y) (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) x) #s(literal 1/6 binary64))) x (*.f64 y y)) x #s(literal 1 binary64)))
#s(approx (* (* y y) x) (.f64 (.f64 y y) x))
#s(approx x x)
#s(approx (exp (* (* x y) y)) (exp.f64 (.f64 (.f64 y y) x)))
#s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/2 binary64) x) y) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) x) x) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) y) y x) y) y #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))

eval4.0ms (0.2%)

Memory: 6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 323 to 224 computations (30.7% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	2	4	6
Total	48	7	55

Accuracy

100.0%

Counts

55 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (exp.f64 (.f64 (+.f64 x x) (.f64 y y))))
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	67.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
✓	19.3%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (.f64 (.f64 y y) x)))
	15.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (.f64 (.f64 y x) y)))
	22.5%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) y) y)) x)))
✓	51.4%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 137 to 122 computations (10.9% saved)

regimes34.0ms (1.4%)

Memory

-23.8MiB live, 21.2MiB allocated; 11ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (.f64 (.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) y) y)) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (sqrt.f64 (.f64 (.f64 y y) (*.f64 y y))) x #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 x y) y))
(sqrt.f64 (exp.f64 (.f64 (+.f64 x x) (.f64 y y))))
(sqrt.f64 (exp.f64 (.f64 (.f64 (*.f64 y y) x) #s(literal 2 binary64))))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes10.0ms (0.4%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes23.0ms (0.9%)

Memory

-32.5MiB live, 13.1MiB allocated; 6ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	(.f64 (.f64 x y) y)
2.0ms	y
2.0ms	x
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
70.8%	2	`(.f64 (.f64 x y) y)`
70.8%	2	`(exp.f64 (.f64 (.f64 x y) y))`
67.9%	1	`x`
67.9%	1	`y`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes4.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (.f64 (sqrt.f64 (.f64 (.f64 (.f64 y y) y) y)) x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
70.8%	2	`(exp.f64 (.f64 (.f64 x y) y))`
70.8%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes8.0ms (0.3%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.6%	1	`x`
67.6%	1	`y`
67.6%	1	`(exp.f64 (.f64 (.f64 x y) y))`
67.6%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes7.0ms (0.3%)

Memory

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

Counts

4 → 2

Calls

Call 1

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

Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (.f64 (.f64 y y) x)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.8%	2	`(.f64 (.f64 x y) y)`
67.8%	2	`(exp.f64 (.f64 (.f64 x y) y))`
64.0%	1	`x`
67.6%	2	`y`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes5.0ms (0.2%)

Memory

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

Counts

2 → 2

Calls

Call 1

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

Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (sqrt (* (* y y) (* y y))) x) 1) (.f64 (.f64 y x) y)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.7%	2	`x`
61.6%	2	`y`
64.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`
64.2%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes4.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`y`
51.4%	1	`(exp.f64 (.f64 (.f64 x y) y))`
51.4%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.451073172344221e-20	31035708247464.375

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.451073172344221e-20	31035708247464.375

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.451073172344221e-20	31035708247464.375

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.451073172344221e-20	31035708247464.375

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations449.0ms (17.8%)

Memory

-50.7MiB live, 302.9MiB allocated; 68ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 61 to 46 computations (24.6% saved)

preprocess158.0ms (6.2%)

Memory: 35.7MiB live, 174.5MiB allocated; 21ms collecting garbage
Remove: (abs y)
Compiler: Compiled 326 to 279 computations (14.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample678.0ms (26.8%)

preprocess166.0ms (6.6%)

series7.0ms (0.3%)

rewrite219.0ms (8.7%)

eval5.0ms (0.2%)

prune2.0ms (0.1%)

series9.0ms (0.3%)

rewrite263.0ms (10.4%)

eval15.0ms (0.6%)

prune5.0ms (0.2%)

series9.0ms (0.4%)

rewrite215.0ms (8.5%)

eval16.0ms (0.6%)

prune5.0ms (0.2%)

series4.0ms (0.1%)

rewrite201.0ms (7.9%)

eval4.0ms (0.2%)

prune4.0ms (0.2%)

regimes34.0ms (1.4%)

regimes10.0ms (0.4%)

regimes23.0ms (0.9%)

regimes4.0ms (0.2%)

regimes8.0ms (0.3%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations449.0ms (17.8%)

preprocess158.0ms (6.2%)

end0.0ms (0%)

Profiling