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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample768.0ms (40.5%)

Memory

-46.8MiB live, 1 501.6MiB allocated; 334ms collecting garbage

Samples

527.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-mult!: 142.0ms (55.1% of total)

ival-exp: 114.0ms (44.2% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess43.0ms (2.3%)

Memory

-6.1MiB live, 45.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series5.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Counts

5 → 12

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite87.0ms (4.6%)

Memory

6.9MiB live, 146.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	174
0	54	174
1	299	170
0	2817	158

Stop Event

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

Counts

17 → 64

Calls

Call 1

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

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

eval14.0ms (0.8%)

Memory: -9.9MiB live, 41.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 678 to 219 computations (67.7% saved)

prune2.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Accuracy

100.0%

Counts

60 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	79.6%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	52.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	85.5%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x))
▶	79.6%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))

Compiler

Compiled 58 to 39 computations (32.8% saved)

series11.0ms (0.6%)

Memory

-18.8MiB live, 28.3MiB allocated; 1ms collecting garbage

Counts

16 → 27

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite156.0ms (8.2%)

Memory

-4.6MiB live, 284.8MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	581
0	129	570
1	620	545
0	5226	524

Stop Event

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

Counts

43 → 257

Calls

Call 1

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

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

eval33.0ms (1.7%)

Memory: -6.7MiB live, 91.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 7 158 to 1 056 computations (85.2% saved)

prune7.0ms (0.3%)

Memory

25.4MiB live, 25.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	274	3	277
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	275	7	282

Accuracy

100.0%

Counts

282 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	79.6%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	52.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
✓	85.5%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x))
▶	72.7%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
▶	79.6%	#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
▶	36.1%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)))

Compiler

Compiled 106 to 67 computations (36.8% saved)

series18.0ms (1%)

Memory

9.9MiB live, 56.5MiB allocated; 2ms collecting garbage

Counts

15 → 19

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* (* y y) x) 1/2) y) y) (* (* (* (* y y) x) 1/2) y) (* (* (* y y) x) 1/2) (* (* y y) x) (* y y) y x 1/2 (* x (exp (* y y))) (+ (* (* y y) x) x) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x))
4.0ms	x	@	0	((* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* (* y y) x) 1/2) y) y) (* (* (* (* y y) x) 1/2) y) (* (* (* y y) x) 1/2) (* (* y y) x) (* y y) y x 1/2 (* x (exp (* y y))) (+ (* (* y y) x) x) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x))
3.0ms	x	@	inf	((* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* (* y y) x) 1/2) y) y) (* (* (* (* y y) x) 1/2) y) (* (* (* y y) x) 1/2) (* (* y y) x) (* y y) y x 1/2 (* x (exp (* y y))) (+ (* (* y y) x) x) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x))
2.0ms	y	@	-inf	((* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* (* y y) x) 1/2) y) y) (* (* (* (* y y) x) 1/2) y) (* (* (* y y) x) 1/2) (* (* y y) x) (* y y) y x 1/2 (* x (exp (* y y))) (+ (* (* y y) x) x) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x))
2.0ms	y	@	inf	((* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* (* y y) x) 1/2) y) y) (* (* (* (* y y) x) 1/2) y) (* (* (* y y) x) 1/2) (* (* y y) x) (* y y) y x 1/2 (* x (exp (* y y))) (+ (* (* y y) x) x) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x))

rewrite144.0ms (7.6%)

Memory

-1.7MiB live, 164.6MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	484
0	117	474
1	543	437
0	4133	414

Stop Event

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

Counts

34 → 191

Calls

Call 1

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

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

eval28.0ms (1.5%)

Memory: 28.0MiB live, 70.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 5 579 to 850 computations (84.8% saved)

prune32.0ms (1.7%)

Memory

-31.7MiB live, 39.5MiB allocated; 27ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	190	2	192
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	190	9	199

Accuracy

100.0%

Counts

199 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	79.6%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	52.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
✓	85.5%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x))
✓	72.7%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
✓	79.6%	#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
✓	36.1%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)))
▶	38.4%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y) y) x)))
▶	36.1%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 (.f64 (.f64 y y) x) (*.f64 y y)) #s(literal 1/2 binary64))))

Compiler

Compiled 174 to 104 computations (40.2% saved)

series24.0ms (1.3%)

Memory

14.0MiB live, 56.3MiB allocated; 15ms collecting garbage

Counts

15 → 17

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	y	@	0	((* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* y y) x) (* y y)) 1/2) (* (* (* y y) x) (* y y)) (* (* y y) x) (* y y) y x 1/2 (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* (* y y) 1/2) y) y) x) (* (* (* (* y y) 1/2) y) y) (* (* (* y y) 1/2) y) (* (* y y) 1/2))
2.0ms	y	@	inf	((* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* y y) x) (* y y)) 1/2) (* (* (* y y) x) (* y y)) (* (* y y) x) (* y y) y x 1/2 (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* (* y y) 1/2) y) y) x) (* (* (* (* y y) 1/2) y) y) (* (* (* y y) 1/2) y) (* (* y y) 1/2))
2.0ms	y	@	-inf	((* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* y y) x) (* y y)) 1/2) (* (* (* y y) x) (* y y)) (* (* y y) x) (* y y) y x 1/2 (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* (* y y) 1/2) y) y) x) (* (* (* (* y y) 1/2) y) y) (* (* (* y y) 1/2) y) (* (* y y) 1/2))
2.0ms	x	@	-inf	((* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* y y) x) (* y y)) 1/2) (* (* (* y y) x) (* y y)) (* (* y y) x) (* y y) y x 1/2 (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* (* y y) 1/2) y) y) x) (* (* (* (* y y) 1/2) y) y) (* (* (* y y) 1/2) y) (* (* y y) 1/2))
2.0ms	x	@	inf	((* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* y y) x) (* y y)) 1/2) (* (* (* y y) x) (* y y)) (* (* y y) x) (* y y) y x 1/2 (* x (exp (* y y))) (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (* (* (* (* (* y y) 1/2) y) y) x) (* (* (* (* y y) 1/2) y) y) (* (* (* y y) 1/2) y) (* (* y y) 1/2))

rewrite150.0ms (7.9%)

Memory

-17.8MiB live, 125.8MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	489
0	108	488
1	477	420
0	3568	392

Stop Event

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

Counts

32 → 159

Calls

Call 1

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

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

eval15.0ms (0.8%)

Memory: 32.1MiB live, 32.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 942 to 877 computations (85.2% saved)

prune26.0ms (1.4%)

Memory

-33.1MiB live, 16.2MiB allocated; 6ms collecting garbage

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	160	11	171

Accuracy

100.0%

Counts

171 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	79.6%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	52.4%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
✓	85.5%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y y) x) x) (*.f64 y y) x))
✓	72.7%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
✓	79.6%	#s(approx (* x (exp (* y y))) (+.f64 (.f64 (.f64 y y) x) x))
✓	36.1%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) y) y)))
✓	38.4%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) #s(literal 1/2 binary64)) y) y) x)))
	37.2%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 (.f64 (.f64 y y) y) (*.f64 y x)) #s(literal 1/2 binary64))))
✓	36.1%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 (.f64 (.f64 y y) x) (*.f64 y y)) #s(literal 1/2 binary64))))
	38.4%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* 1/2 (* (* y y) x)) x) (* y y)) x) (.f64 (.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (*.f64 y y))) x)))

Compiler

Compiled 242 to 141 computations (41.7% saved)

regimes97.0ms (5.1%)

Memory

-8.2MiB live, 136.4MiB allocated; 6ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 1

3 → 1

5 → 1

10 → 2

12 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Call 4

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

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

Call 5

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

Outputs

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

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

Call 6

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

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

Calls

30 calls:

24.0ms	(.f64 x (exp.f64 (.f64 y y)))
16.0ms	(.f64 x (exp.f64 (.f64 y y)))
4.0ms	x
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
52.4%	1	`y`
52.4%	1	`(*.f64 y y)`
52.4%	1	`x`
52.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
52.4%	1	`(exp.f64 (*.f64 y y))`
72.7%	1	`(.f64 x (exp.f64 (.f64 y y)))`
72.7%	1	`(exp.f64 (*.f64 y y))`
72.7%	1	`(*.f64 y y)`
72.7%	1	`y`
72.7%	1	`x`
79.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
79.6%	1	`(exp.f64 (*.f64 y y))`
79.6%	1	`(*.f64 y y)`
79.6%	1	`y`
79.6%	1	`x`
79.6%	1	`x`
79.6%	1	`(.f64 x (exp.f64 (.f64 y y)))`
79.6%	1	`(exp.f64 (*.f64 y y))`
79.6%	1	`(*.f64 y y)`
79.6%	1	`y`
87.4%	2	`(.f64 x (exp.f64 (.f64 y y)))`
87.4%	2	`(exp.f64 (*.f64 y y))`
87.4%	2	`(*.f64 y y)`
87.4%	2	`y`
79.6%	1	`x`
100.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
100.0%	1	`(exp.f64 (*.f64 y y))`
100.0%	1	`(*.f64 y y)`
100.0%	1	`y`
100.0%	1	`x`

Compiler

Compiled 345 to 153 computations (55.7% saved)

bsearch11.0ms (0.6%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.11088418962870679	105.34135614016384

Samples

5.0ms

128×

valid

Compiler

Compiled 369 to 234 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 1.0ms (38.1% of total)

ival-mult!: 1.0ms (38.1% of total)

adjust: 0.0ms (0% of total)

derivations130.0ms (6.8%)

Memory

2.6MiB live, 142.4MiB allocated; 5ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 100 to 34 computations (66% saved)

preprocess92.0ms (4.9%)

Memory

7.6MiB live, 195.0MiB allocated; 15ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 604 to 333 computations (44.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample768.0ms (40.5%)

preprocess43.0ms (2.3%)

series5.0ms (0.3%)

rewrite87.0ms (4.6%)

eval14.0ms (0.8%)

prune2.0ms (0.1%)

series11.0ms (0.6%)

rewrite156.0ms (8.2%)

eval33.0ms (1.7%)

prune7.0ms (0.3%)

series18.0ms (1%)

rewrite144.0ms (7.6%)

eval28.0ms (1.5%)

prune32.0ms (1.7%)

series24.0ms (1.3%)

rewrite150.0ms (7.9%)

eval15.0ms (0.8%)

prune26.0ms (1.4%)

regimes97.0ms (5.1%)

bsearch11.0ms (0.6%)

derivations130.0ms (6.8%)

preprocess92.0ms (4.9%)

end0.0ms (0%)

Profiling