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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample853.0ms (44.7%)

Memory

2.9MiB live, 724.3MiB allocated; 253ms collecting garbage

Samples

484.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

ival-exp: 178.0ms (62.2% of total)

ival-mult!: 106.0ms (37% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess82.0ms (4.3%)

Memory

-40.4MiB live, 60.7MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	59	40
2	168	40
3	456	40
4	3721	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 (0.4%)

Memory

25.9MiB live, 25.9MiB 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	@	inf	((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	y	@	-inf	((exp (* (* x y) y)) (* (* x y) y) (* x y) x y)

rewrite96.0ms (5.1%)

Memory

-25.2MiB live, 117.4MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	185
0	63	183
1	324	181
0	2830	170

Stop Event

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

Counts

16 → 39

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 (pow.f64 (exp.f64 x) (/.f64 (.f64 y y) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 (*.f64 y y) #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 (.f64 y x)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (exp.f64 (*.f64 y x)) (/.f64 y #s(literal 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)
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (.f64 y y) x)) (cosh.f64 (.f64 (.f64 y y) x))) (.f64 (sinh.f64 (.f64 (.f64 y y) x)) (sinh.f64 (.f64 (.f64 y y) x)))) (-.f64 (cosh.f64 (.f64 (.f64 y y) x)) (sinh.f64 (.f64 (.f64 y y) x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (.f64 y y) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (.f64 y y) x)) (cosh.f64 (.f64 (.f64 y y) x)) (-.f64 (.f64 (sinh.f64 (.f64 (.f64 y y) x)) (sinh.f64 (.f64 (.f64 y y) x))) (.f64 (cosh.f64 (.f64 (.f64 y y) x)) (sinh.f64 (.f64 (.f64 y y) x))))))
(exp.f64 (.f64 (log.f64 (exp.f64 x)) (.f64 y y)))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 y x))) y))
(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 (*.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 x (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) #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)

eval3.0ms (0.2%)

Memory: 9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 243 to 115 computations (52.7% saved)

prune2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Accuracy

100.0%

Counts

36 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	69.8%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y y) x #s(literal 1 binary64)))
▶	52.2%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 21 to 21 computations (0% saved)

series3.0ms (0.2%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

7 → 16

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

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) 1) #s(hole binary64 1))
#s(approx (+ (* (* y y) x) 1) #s(hole binary64 (+ 1 (* 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 (+ (* (* y y) x) 1) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* (* y y) x) 1) #s(hole binary64 (* x (+ (/ 1 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 (+ (* (* 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)) 1 (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) y x)
1.0ms	y	@	-inf	((exp (* (* x y) y)) 1 (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) y x)
1.0ms	x	@	-inf	((exp (* (* x y) y)) 1 (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) y x)
0.0ms	x	@	inf	((exp (* (* x y) y)) 1 (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) y x)
0.0ms	y	@	0	((exp (* (* x y) y)) 1 (exp (* (* x y) y)) (+ (* (* y y) x) 1) (* y y) y x)

rewrite162.0ms (8.5%)

Memory

7.0MiB live, 147.9MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	279
0	81	265
1	425	263
0	3698	253

Stop Event

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

Counts

23 → 96

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

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

eval8.0ms (0.4%)

Memory: 20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 674 to 326 computations (51.6% saved)

prune5.0ms (0.3%)

Memory

-38.3MiB live, 7.6MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	82	5	87

Accuracy

100.0%

Counts

87 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	67.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	69.7%	#s(approx (exp (* (* x y) y)) (*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) x)) x))
▶	20.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	52.2%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 44 to 44 computations (0% saved)

series8.0ms (0.4%)

Memory

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

Counts

14 → 36

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite136.0ms (7.1%)

Memory

15.8MiB live, 160.0MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	633
0	125	581
1	528	567
0	4205	557

Stop Event

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

Counts

50 → 261

Calls

Call 1

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

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

eval82.0ms (4.3%)

Memory: -9.5MiB live, 37.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 460 to 691 computations (52.7% saved)

prune7.0ms (0.4%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	175	7	182

Accuracy

100.0%

Counts

182 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	67.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
✓	69.7%	#s(approx (exp (* (* x y) y)) (*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) x)) x))
▶	52.1%	#s(approx (exp (* (* x y) y)) (.f64 #s(approx (+ ( y y) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) x))
✓	20.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
▶	18.4%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
✓	52.2%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 71 to 71 computations (0% saved)

series26.0ms (1.3%)

Memory

-33.6MiB live, 13.3MiB allocated; 3ms collecting garbage

Counts

11 → 29

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) y x (exp (* (* x y) y)) (* (+ (* y y) (/ 1 x)) x) (+ (* y y) (/ 1 x)) (/ 1 x) 1)
1.0ms	x	@	-inf	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) y x (exp (* (* x y) y)) (* (+ (* y y) (/ 1 x)) x) (+ (* y y) (/ 1 x)) (/ 1 x) 1)
1.0ms	y	@	-inf	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) y x (exp (* (* x y) y)) (* (+ (* y y) (/ 1 x)) x) (+ (* y y) (/ 1 x)) (/ 1 x) 1)
1.0ms	y	@	inf	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) y x (exp (* (* x y) y)) (* (+ (* y y) (/ 1 x)) x) (+ (* y y) (/ 1 x)) (/ 1 x) 1)
1.0ms	x	@	0	((exp (* (* x y) y)) (+ (* (* y y) x) 1) (* (* y x) y) (* y x) y x (exp (* (* x y) y)) (* (+ (* y y) (/ 1 x)) x) (+ (* y y) (/ 1 x)) (/ 1 x) 1)

rewrite193.0ms (10.1%)

Memory

29.8MiB live, 167.6MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	542
0	109	512
1	496	508
0	4167	467

Stop Event

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

Counts

40 → 68

Calls

Call 1

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

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

eval4.0ms (0.2%)

Memory: 10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 305 to 212 computations (30.5% saved)

prune7.0ms (0.4%)

Memory

-32.9MiB live, 10.7MiB allocated; 6ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	44	7	51

Accuracy

100.0%

Counts

51 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	67.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
✓	69.7%	#s(approx (exp (* (* x y) y)) (*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) x)) x))
✓	52.1%	#s(approx (exp (* (* x y) y)) (.f64 #s(approx (+ ( y y) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) x))
✓	20.6%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
✓	18.4%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
✓	52.2%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 113 to 106 computations (6.2% saved)

regimes11.0ms (0.6%)

Memory

26.2MiB live, 26.2MiB 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 (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (.f64 #s(approx (+ ( y y) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) 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)) (*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) x)) x))
(exp.f64 (.f64 (.f64 x y) y))

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

Calls

4 calls:

3.0ms	x
3.0ms	y
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)

regimes12.0ms (0.7%)

Memory

-20.6MiB live, 23.3MiB allocated; 4ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(exp.f64 (.f64 (.f64 x y) y))
2.0ms	y
2.0ms	x
2.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
69.8%	1	`(.f64 (.f64 x y) y)`
69.8%	1	`(exp.f64 (.f64 (.f64 x y) y))`
69.8%	1	`x`
69.8%	1	`y`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes8.0ms (0.4%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

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
69.8%	2	`(.f64 (.f64 x y) y)`
69.8%	2	`(exp.f64 (.f64 (.f64 x y) y))`
67.6%	1	`x`
69.8%	2	`y`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes5.0ms (0.3%)

Memory

9.2MiB live, 9.2MiB 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 (+ (* (* y y) x) 1) (.f64 (.f64 y x) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y y) x) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (.f64 #s(approx (+ ( y y) (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
68.3%	2	`y`
69.7%	2	`(.f64 (.f64 x y) y)`
69.7%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB 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 (+ (* (* 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 (+ (* (* 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
66.1%	2	`y`
55.7%	2	`x`
67.5%	2	`(exp.f64 (.f64 (.f64 x y) y))`
67.5%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes34.0ms (1.8%)

Memory

-50.0MiB live, 12.6MiB allocated; 18ms 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:

31.0ms	(exp.f64 (.f64 (.f64 x y) y))
1.0ms	y
1.0ms	x
1.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
52.2%	1	`x`
52.2%	1	`y`
52.2%	1	`(exp.f64 (.f64 (.f64 x y) y))`
52.2%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1432715672468512	+inf

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.13389394823428874	12469098155012411000.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.13389394823428874	12469098155012411000.0

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations66.0ms (3.5%)

Memory

18.7MiB live, 67.6MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 40 to 33 computations (17.5% saved)

preprocess83.0ms (4.4%)

Memory: -18.9MiB live, 120.9MiB allocated; 16ms collecting garbage
Remove: (abs y)
Compiler: Compiled 225 to 206 computations (8.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample853.0ms (44.7%)

preprocess82.0ms (4.3%)

series7.0ms (0.4%)

rewrite96.0ms (5.1%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

series3.0ms (0.2%)

rewrite162.0ms (8.5%)

eval8.0ms (0.4%)

prune5.0ms (0.3%)

series8.0ms (0.4%)

rewrite136.0ms (7.1%)

eval82.0ms (4.3%)

prune7.0ms (0.4%)

series26.0ms (1.3%)

rewrite193.0ms (10.1%)

eval4.0ms (0.2%)

prune7.0ms (0.4%)

regimes11.0ms (0.6%)

regimes12.0ms (0.7%)

regimes8.0ms (0.4%)

regimes5.0ms (0.3%)

regimes5.0ms (0.2%)

regimes34.0ms (1.8%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations66.0ms (3.5%)

preprocess83.0ms (4.4%)

end0.0ms (0%)

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