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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample697.0ms (41.5%)

Memory

6.2MiB live, 1 032.3MiB allocated; 223ms collecting garbage

Samples

475.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-mult!: 134.0ms (57.9% of total)

ival-exp: 96.0ms (41.5% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess46.0ms (2.7%)

Memory

3.3MiB live, 48.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	62	38
2	183	38
3	474	38
4	2432	38

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 10 to 10 computations (0% saved)

series5.0ms (0.3%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

5 → 13

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
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)

rewrite103.0ms (6.1%)

Memory

8.5MiB live, 150.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	182
0	55	182
1	300	178
0	2855	166

Stop Event

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

Counts

18 → 65

Calls

Call 1

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

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

eval6.0ms (0.4%)

Memory: 19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 383 to 220 computations (42.6% saved)

prune4.0ms (0.2%)

Memory

-40.1MiB live, 6.3MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Accuracy

100.0%

Counts

61 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	80.3%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
▶	51.9%	#s(approx (* x (exp (* y y))) x)

Compiler

Compiled 19 to 19 computations (0% saved)

series6.0ms (0.4%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

6 → 14

Calls

Call 1

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

Calls

6 calls:

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

rewrite183.0ms (10.9%)

Memory

5.4MiB live, 172.6MiB allocated; 131ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	216
0	56	211
1	275	209
0	2240	205

Stop Event

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

Counts

20 → 77

Calls

Call 1

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

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

eval8.0ms (0.5%)

Memory: -29.1MiB live, 17.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 552 to 269 computations (51.3% saved)

prune3.0ms (0.2%)

Memory

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

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	68	4	72

Accuracy

100.0%

Counts

72 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	74.4%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
▶	32.7%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
✓	51.9%	#s(approx (* x (exp (* y y))) x)

Compiler

Compiled 31 to 30 computations (3.2% saved)

series7.0ms (0.4%)

Memory

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

Counts

9 → 22

Calls

Call 1

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

Calls

6 calls:

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

rewrite76.0ms (4.5%)

Memory

1.8MiB live, 96.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	357
0	74	340
1	310	338
0	2295	333

Stop Event

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

Counts

31 → 97

Calls

Call 1

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

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

eval11.0ms (0.6%)

Memory: -25.9MiB live, 19.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 642 to 334 computations (48% saved)

prune3.0ms (0.2%)

Memory

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

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	80	5	85

Accuracy

100.0%

Counts

85 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	74.4%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
✓	32.7%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
▶	26.9%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y)))
✓	51.9%	#s(approx (* x (exp (* y y))) x)

Compiler

Compiled 43 to 41 computations (4.7% saved)

series5.0ms (0.3%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

6 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite86.0ms (5.1%)

Memory

-11.8MiB live, 120.6MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	244
0	62	242
1	284	242
0	2271	225

Stop Event

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

Counts

21 → 29

Calls

Call 1

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

eval2.0ms (0.1%)

Memory: 7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 137 to 92 computations (32.8% saved)

prune3.0ms (0.2%)

Memory

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

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	19	5	24

Accuracy

100.0%

Counts

24 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	74.4%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
✓	32.7%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
✓	26.9%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y)))
✓	51.9%	#s(approx (* x (exp (* y y))) x)

Compiler

Compiled 72 to 63 computations (12.5% saved)

regimes29.0ms (1.7%)

Memory

7.9MiB live, 44.5MiB allocated; 25ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	x
2.0ms	y
2.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

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

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes23.0ms (1.4%)

Memory

4.4MiB live, 46.4MiB allocated; 18ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Calls

5 calls:

15.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	x
2.0ms	y
2.0ms	(*.f64 y y)
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
80.3%	1	`(*.f64 y y)`
80.3%	1	`(exp.f64 (*.f64 y y))`
80.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
80.3%	1	`x`
80.3%	1	`y`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes125.0ms (7.4%)

Memory

-31.9MiB live, 37.8MiB allocated; 16ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Calls

5 calls:

117.0ms	(exp.f64 (*.f64 y y))
2.0ms	x
2.0ms	y
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
80.3%	2	`(*.f64 y y)`
80.3%	2	`(exp.f64 (*.f64 y y))`
80.3%	2	`(.f64 x (exp.f64 (.f64 y y)))`
80.3%	2	`y`
74.4%	1	`x`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes6.0ms (0.3%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
80.1%	2	`(exp.f64 (*.f64 y y))`
80.1%	2	`(.f64 x (exp.f64 (.f64 y y)))`
80.1%	2	`(*.f64 y y)`
80.1%	2	`y`

Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes14.0ms (0.8%)

Memory

-16.4MiB live, 28.4MiB allocated; 10ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	(*.f64 y y)
1.0ms	y
1.0ms	x
1.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
51.9%	1	`x`
74.3%	2	`(exp.f64 (*.f64 y y))`
74.3%	2	`(.f64 x (exp.f64 (.f64 y y)))`
74.3%	2	`(*.f64 y y)`
74.3%	2	`y`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes4.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.9%	1	`(exp.f64 (*.f64 y y))`
51.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
51.9%	1	`y`
51.9%	1	`(*.f64 y y)`

Compiler

Compiled 11 to 14 computations (-27.3% saved)

bsearch2.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	7.442277683465262e+25	2.4905504011851294e+27

Samples

1.0ms

16×

valid

Compiler

Compiled 29 to 31 computations (-6.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-exp: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

bsearch40.0ms (2.4%)

Memory

-15.6MiB live, 27.6MiB allocated; 11ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	0.2612384113209523	8168.459678175419

Samples

34.0ms

128×

valid

Compiler

Compiled 153 to 162 computations (-5.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult!: 30.0ms (94.5% of total)

ival-exp: 1.0ms (3.2% of total)

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06824550754949507	66723733.51397767

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations82.0ms (4.9%)

Memory

-29.2MiB live, 74.4MiB allocated; 52ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 38 to 31 computations (18.4% saved)

preprocess102.0ms (6%)

Memory

14.2MiB live, 154.2MiB allocated; 17ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 421 to 368 computations (12.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample697.0ms (41.5%)

preprocess46.0ms (2.7%)

series5.0ms (0.3%)

rewrite103.0ms (6.1%)

eval6.0ms (0.4%)

prune4.0ms (0.2%)

series6.0ms (0.4%)

rewrite183.0ms (10.9%)

eval8.0ms (0.5%)

prune3.0ms (0.2%)

series7.0ms (0.4%)

rewrite76.0ms (4.5%)

eval11.0ms (0.6%)

prune3.0ms (0.2%)

series5.0ms (0.3%)

rewrite86.0ms (5.1%)

eval2.0ms (0.1%)

prune3.0ms (0.2%)

regimes29.0ms (1.7%)

regimes23.0ms (1.4%)

regimes125.0ms (7.4%)

regimes6.0ms (0.3%)

regimes14.0ms (0.8%)

regimes4.0ms (0.2%)

bsearch2.0ms (0.1%)

bsearch40.0ms (2.4%)

bsearch0.0ms (0%)

derivations82.0ms (4.9%)

preprocess102.0ms (6%)

end0.0ms (0%)

Profiling