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

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

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample720.0ms (32.3%)

Memory

11.7MiB live, 1 073.4MiB allocated; 150ms collecting garbage

Samples

526.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-mult!: 160.0ms (69.9% of total)

ival-exp: 67.0ms (29.3% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain100.0ms (4.5%)

Memory

-20.9MiB live, 127.8MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(exp.f64 (*.f64 y y))`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`(.f64 x (exp.f64 (.f64 y y)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (*.f64 y y))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult!: 5.0ms (51.1% of total)

ival-exp: 4.0ms (40.9% of total)

adjust: 0.0ms (0% of total)

preprocess26.0ms (1.2%)

Memory

37.0MiB live, 37.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	58	38
2	171	38
3	411	38
4	1267	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)

series16.0ms (0.7%)

Memory

-29.9MiB live, 17.2MiB allocated; 2ms 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
12.0ms	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	@	0	((* x (exp (* y y))) x (exp (* y y)) (* y y) y)

rewrite104.0ms (4.7%)

Memory

17.5MiB live, 159.5MiB allocated; 11ms 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 (pow.f64 (exp.f64 y) y) x)
(*.f64 x (pow.f64 (exp.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 (pow.f64 (exp.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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 y y) x) (*.f64 y y) x))
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
#s(approx (exp (* y y)) (fma.f64 y y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))

eval9.0ms (0.4%)

Memory: -16.5MiB live, 24.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 688 to 222 computations (67.7% saved)

prune2.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	4	62

Accuracy

100.0%

Counts

62 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (cosh.f64 (.f64 y y)) x (.f64 (sinh.f64 (*.f64 y y)) x))
▶	100.0%	(*.f64 (pow.f64 (exp.f64 y) y) x)
▶	81.9%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
▶	53.4%	#s(approx (* x (exp (* y y))) x)

Compiler

Compiled 39 to 26 computations (33.3% saved)

series182.0ms (8.1%)

Memory

54.8MiB live, 223.2MiB allocated; 67ms collecting garbage

Counts

13 → 51

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
(*.f64 (pow.f64 (exp.f64 y) y) x)
(pow.f64 (exp.f64 y) y)
(exp.f64 y)
(fma.f64 (cosh.f64 (.f64 y y)) x (.f64 (sinh.f64 (*.f64 y y)) x))
(cosh.f64 (*.f64 y y))
(.f64 (sinh.f64 (.f64 y y)) x)
(sinh.f64 (*.f64 y y))

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

Calls

6 calls:

Time	Variable		Point	Expression
115.0ms	x	@	0	((* x (exp (* y y))) x (* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) y (* (pow (exp y) y) x) (pow (exp y) y) (exp y) (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) (cosh (* y y)) (* (sinh (* y y)) x) (sinh (* y y)))
38.0ms	x	@	inf	((* x (exp (* y y))) x (* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) y (* (pow (exp y) y) x) (pow (exp y) y) (exp y) (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) (cosh (* y y)) (* (sinh (* y y)) x) (sinh (* y y)))
20.0ms	x	@	-inf	((* x (exp (* y y))) x (* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) y (* (pow (exp y) y) x) (pow (exp y) y) (exp y) (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) (cosh (* y y)) (* (sinh (* y y)) x) (sinh (* y y)))
3.0ms	y	@	inf	((* x (exp (* y y))) x (* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) y (* (pow (exp y) y) x) (pow (exp y) y) (exp y) (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) (cosh (* y y)) (* (sinh (* y y)) x) (sinh (* y y)))
2.0ms	y	@	0	((* x (exp (* y y))) x (* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) y (* (pow (exp y) y) x) (pow (exp y) y) (exp y) (+ (* (cosh (* y y)) x) (* (sinh (* y y)) x)) (cosh (* y y)) (* (sinh (* y y)) x) (sinh (* y y)))

rewrite220.0ms (9.9%)

Memory

-14.4MiB live, 230.9MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	967
0	210	895
1	1144	857
0	8455	809

Stop Event

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

Counts

64 → 187

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

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

eval37.0ms (1.7%)

Memory: -10.9MiB live, 44.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 3 650 to 665 computations (81.8% saved)

prune5.0ms (0.2%)

Memory

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

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	195	6	201

Accuracy

100.0%

Counts

201 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (cosh.f64 (.f64 y y)) x (.f64 (sinh.f64 (*.f64 y y)) x))
▶	100.0%	(.f64 (pow.f64 (.f64 (exp.f64 y) (exp.f64 y)) (/.f64 y #s(literal 2 binary64))) x)
✓	100.0%	(*.f64 (pow.f64 (exp.f64 y) y) x)
✓	81.9%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
▶	32.8%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
✓	53.4%	#s(approx (* x (exp (* y y))) x)

Compiler

Compiled 70 to 45 computations (35.7% saved)

series47.0ms (2.1%)

Memory

5.7MiB live, 95.0MiB allocated; 10ms collecting garbage

Counts

12 → 36

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	((* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) y x (* (pow (* (exp y) (exp y)) (/ y 2)) x) (pow (* (exp y) (exp y)) (/ y 2)) (* (exp y) (exp y)) (exp y) (/ y 2) 2)
11.0ms	x	@	inf	((* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) y x (* (pow (* (exp y) (exp y)) (/ y 2)) x) (pow (* (exp y) (exp y)) (/ y 2)) (* (exp y) (exp y)) (exp y) (/ y 2) 2)
8.0ms	x	@	-inf	((* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) y x (* (pow (* (exp y) (exp y)) (/ y 2)) x) (pow (* (exp y) (exp y)) (/ y 2)) (* (exp y) (exp y)) (exp y) (/ y 2) 2)
2.0ms	y	@	inf	((* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) y x (* (pow (* (exp y) (exp y)) (/ y 2)) x) (pow (* (exp y) (exp y)) (/ y 2)) (* (exp y) (exp y)) (exp y) (/ y 2) 2)
2.0ms	y	@	-inf	((* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) y x (* (pow (* (exp y) (exp y)) (/ y 2)) x) (pow (* (exp y) (exp y)) (/ y 2)) (* (exp y) (exp y)) (exp y) (/ y 2) 2)

rewrite149.0ms (6.7%)

Memory

-9.1MiB live, 184.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	603
0	135	567
1	684	527
0	5956	487

Stop Event

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

Counts

48 → 142

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

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

eval16.0ms (0.7%)

Memory: -19.7MiB live, 26.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 498 to 563 computations (77.5% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	136	7	143

Accuracy

100.0%

Counts

143 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (cosh.f64 (.f64 y y)) x (.f64 (sinh.f64 (*.f64 y y)) x))
▶	100.0%	(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))) x)
✓	100.0%	(*.f64 (pow.f64 (exp.f64 y) y) x)
✓	81.9%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
✓	32.8%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
▶	27.0%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y)))
✓	53.4%	#s(approx (* x (exp (* y y))) x)

Compiler

Compiled 89 to 56 computations (37.1% saved)

series60.0ms (2.7%)

Memory

10.1MiB live, 61.1MiB allocated; 5ms collecting garbage

Counts

12 → 36

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

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	((* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* y x) y x (* (pow (pow (exp y) 2) (/ y 2)) x) (pow (pow (exp y) 2) (/ y 2)) (pow (exp y) 2) (exp y) 2 (/ y 2))
10.0ms	x	@	0	((* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* y x) y x (* (pow (pow (exp y) 2) (/ y 2)) x) (pow (pow (exp y) 2) (/ y 2)) (pow (exp y) 2) (exp y) 2 (/ y 2))
9.0ms	x	@	-inf	((* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* y x) y x (* (pow (pow (exp y) 2) (/ y 2)) x) (pow (pow (exp y) 2) (/ y 2)) (pow (exp y) 2) (exp y) 2 (/ y 2))
2.0ms	y	@	-inf	((* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* y x) y x (* (pow (pow (exp y) 2) (/ y 2)) x) (pow (pow (exp y) 2) (/ y 2)) (pow (exp y) 2) (exp y) 2 (/ y 2))
1.0ms	y	@	inf	((* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* y x) y x (* (pow (pow (exp y) 2) (/ y 2)) x) (pow (pow (exp y) 2) (/ y 2)) (pow (exp y) 2) (exp y) 2 (/ y 2))

rewrite186.0ms (8.3%)

Memory

-7.6MiB live, 130.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	585
0	136	567
1	678	527
0	5939	487

Stop Event

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

Counts

48 → 100

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

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

eval9.0ms (0.4%)

Memory: 22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 436 to 350 computations (75.6% saved)

prune39.0ms (1.7%)

Memory

-32.7MiB live, 15.6MiB allocated; 40ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	84	7	91

Accuracy

100.0%

Counts

91 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (cosh.f64 (.f64 y y)) x (.f64 (sinh.f64 (*.f64 y y)) x))
✓	100.0%	(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))) x)
✓	100.0%	(*.f64 (pow.f64 (exp.f64 y) y) x)
✓	81.9%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x))
✓	32.8%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y y) x)))
✓	27.0%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (.f64 (.f64 y x) y)))
✓	53.4%	#s(approx (* x (exp (* y y))) x)

Compiler

Compiled 195 to 91 computations (53.3% saved)

regimes17.0ms (0.7%)

Memory

-5.8MiB live, 44.6MiB allocated; 4ms collecting garbage

Counts

9 → 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 y) x x))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))) x)
(.f64 (pow.f64 (.f64 (exp.f64 y) (exp.f64 y)) (/.f64 y #s(literal 2 binary64))) x)
(fma.f64 (cosh.f64 (.f64 y y)) x (.f64 (sinh.f64 (*.f64 y y)) x))

Outputs
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))) x)

Calls

5 calls:

5.0ms	(*.f64 y y)
3.0ms	y
3.0ms	x
3.0ms	(.f64 x (exp.f64 (.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 15 to 16 computations (-6.7% saved)

regimes11.0ms (0.5%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms 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 y) x x))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 (pow.f64 (exp.f64 y) y) x)

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes12.0ms (0.5%)

Memory

-22.6MiB live, 23.9MiB allocated; 2ms 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 y) x x))
(.f64 x (exp.f64 (.f64 y y)))

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

Calls

5 calls:

4.0ms	(.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 15 to 16 computations (-6.7% saved)

regimes8.0ms (0.4%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Counts

4 → 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 y) x x))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
81.9%	1	`(*.f64 y y)`
81.9%	1	`(exp.f64 (*.f64 y y))`
81.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
81.9%	1	`x`
81.9%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes8.0ms (0.4%)

Memory

-27.8MiB live, 19.4MiB allocated; 2ms 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

5 calls:

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

Results

Accuracy	Segments	Branch
81.7%	2	`(exp.f64 (*.f64 y y))`
81.7%	2	`(.f64 x (exp.f64 (.f64 y y)))`
53.4%	1	`x`
81.7%	2	`(*.f64 y y)`
81.7%	2	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes5.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms 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

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
75.8%	2	`(.f64 x (exp.f64 (.f64 y y)))`
75.8%	2	`(*.f64 y y)`
75.8%	2	`(exp.f64 (*.f64 y y))`
75.8%	2	`y`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes5.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	y
1.0ms	x
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
53.4%	1	`x`
53.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
53.4%	1	`(*.f64 y y)`
53.4%	1	`(exp.f64 (*.f64 y y))`
53.4%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch12.0ms (0.5%)

Memory

-31.6MiB live, 17.3MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.6828357226752894	11.408093638089126

Samples

7.0ms

112×

valid

Compiler

Compiled 205 to 143 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (41.1% of total)

ival-mult!: 1.0ms (41.1% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.6828357226752894	11.408093638089126

Compiler

Compiled 205 to 143 computations (30.2% saved)

derivations132.0ms (5.9%)

Memory

36.1MiB live, 177.7MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 107 to 32 computations (70.1% saved)

preprocess89.0ms (4%)

Memory

7.5MiB live, 195.6MiB allocated; 14ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 782 to 382 computations (51.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample720.0ms (32.3%)

explain100.0ms (4.5%)

preprocess26.0ms (1.2%)

series16.0ms (0.7%)

rewrite104.0ms (4.7%)

eval9.0ms (0.4%)

prune2.0ms (0.1%)

series182.0ms (8.1%)

rewrite220.0ms (9.9%)

eval37.0ms (1.7%)

prune5.0ms (0.2%)

series47.0ms (2.1%)

rewrite149.0ms (6.7%)

eval16.0ms (0.7%)

prune4.0ms (0.2%)

series60.0ms (2.7%)

rewrite186.0ms (8.3%)

eval9.0ms (0.4%)

prune39.0ms (1.7%)

regimes17.0ms (0.7%)

regimes11.0ms (0.5%)

regimes12.0ms (0.5%)

regimes8.0ms (0.4%)

regimes8.0ms (0.4%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch12.0ms (0.5%)

bsearch1.0ms (0%)

derivations132.0ms (5.9%)

preprocess89.0ms (4%)

end0.0ms (0%)

Profiling