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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample904.0ms (12.8%)

Memory

-7.1MiB live, 937.0MiB allocated; 223ms collecting garbage

Samples

554.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-mult: 171.0ms (70.2% of total)

ival-exp: 61.0ms (25% of total)

ival-true: 6.0ms (2.5% of total)

adjust: 3.0ms (1.2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain106.0ms (1.5%)

Memory

15.5MiB live, 119.5MiB allocated; 20ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(exp.f64 (*.f64 y y))`
-	-	`(*.f64 y y)`
-	-	`(.f64 x (exp.f64 (.f64 y y)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (59.3% of total)

ival-exp: 4.0ms (33.9% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess334.0ms (4.7%)

Memory

11.5MiB live, 300.0MiB allocated; 133ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	58	32
2	171	32
3	409	32
4	1244	32
5	7990	32
0	5	6
0	8	6
1	18	6
2	52	6
3	151	6
4	428	6
5	2559	6
6	7635	6
0	8333	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify213.0ms (3%)

Memory

-7.2MiB live, 284.8MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y y)
cost-diff	0	(exp.f64 (*.f64 y y))
cost-diff	0	(.f64 x (exp.f64 (.f64 y y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	18	15
2	52	15
3	151	15
4	428	15
5	2559	15
6	7635	15
0	8333	15

Stop Event

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

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

-22.4MiB live, 22.7MiB allocated; 4ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(exp.f64 (*.f64 y y))
accuracy	0.00390625	(.f64 x (exp.f64 (.f64 y y)))

Samples

12.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (55.3% of total)

ival-exp: 2.0ms (36.9% of total)

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

adjust: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

3 → 11

Calls

Call 1

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

Outputs
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(pow y 2)
(exp (pow y 2))

Calls

6 calls:

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

simplify357.0ms (5%)

Memory

-0.1MiB live, 387.0MiB allocated; 61ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	127	97
2	492	91
3	2193	89
4	4804	89
0	8100	77

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

Inputs
(* x (exp (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(pow y 2)
(exp (pow y 2))

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

rewrite119.0ms (1.7%)

Memory

-9.4MiB live, 93.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	20	13
2	83	13
0	501	13

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 60

Calls

Call 1

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

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

eval8.0ms (0.1%)

Memory: 26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 094 to 230 computations (79% saved)

prune17.0ms (0.2%)

Memory

-33.4MiB live, 12.2MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	4	71

Accuracy

100.0%

Counts

71 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	82.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	49.9%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	94.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x))

Compiler

Compiled 50 to 34 computations (32% saved)

simplify116.0ms (1.6%)

Memory

48.5MiB live, 135.9MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
cost-diff	0	#s(approx (exp (* y y)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
cost-diff	2	(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	116
0	30	116
1	66	116
2	253	116
3	1520	116
4	5841	116
0	8167	112

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
x
#s(approx (exp (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
x
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)

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

localize103.0ms (1.5%)

Memory

-9.2MiB live, 138.6MiB allocated; 20ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
accuracy	16.081176836706447	#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
accuracy	0.00390625	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
accuracy	32.244074028973564	#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy	0.09765625	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	0.48055200717316493	(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
accuracy	3.8191689936379545	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
accuracy	8.962426163981384	(.f64 (.f64 y y) x)

Samples

85.0ms

256×

valid

Compiler

Compiled 92 to 18 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 24.0ms (50.9% of total)

ival-add: 17.0ms (36% of total)

const: 4.0ms (8.5% of total)

ival-exp: 2.0ms (4.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

2.8MiB live, 46.0MiB allocated; 5ms collecting garbage

Counts

10 → 23

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))

Outputs
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (exp (pow y 2)))
(* x (pow y 2))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(pow y 2)
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(exp (pow y 2))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (+ (* 1/6 (* y y)) 1/2))
2.0ms	x	@	-inf	((+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (+ (* 1/6 (* y y)) 1/2))
2.0ms	x	@	inf	((+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (+ (* 1/6 (* y y)) 1/2))
2.0ms	y	@	inf	((+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (+ (* 1/6 (* y y)) 1/2))
1.0ms	y	@	-inf	((+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (+ (* 1/6 (* y y)) 1/2))

simplify277.0ms (3.9%)

Memory

-1.6MiB live, 335.8MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	239
1	225	239
2	848	222
3	3775	220
0	8251	198

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

Inputs
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (exp (pow y 2)))
(* x (pow y 2))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(pow y 2)
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(exp (pow y 2))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))

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

rewrite224.0ms (3.2%)

Memory

-2.3MiB live, 236.3MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	95
0	30	95
1	118	95
2	910	95
0	8711	95

Stop Event

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

Counts

10 → 195

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
#s(approx (exp (* y y)) #s(literal 1 binary64))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))

Outputs
(.f64 (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)) x)
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.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)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.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) (.f64 x y)) x)) (/.f64 (.f64 (pow.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)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.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) (.f64 x y)) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.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) (.f64 x y)) x)) (/.f64 (.f64 x x) (-.f64 (.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) (.f64 x y)) x)))) (+.f64 (/.f64 (.f64 (pow.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)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.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) (.f64 x y)) x)) (/.f64 (.f64 x x) (-.f64 (.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) (*.f64 x y)) x))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) (.f64 y y) #s(literal 1 binary64)) x) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) (.f64 y y) #s(literal 1 binary64)) x)) (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) (.f64 y y) #s(literal 1 binary64)) x) (.f64 x (.f64 y y))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))))) (.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))) #s(literal 1/8 binary64))) (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64)))))
(neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) y #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (neg.f64 y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))
(fma.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) y) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 y (fabs.f64 (*.f64 #s(literal -1/6 binary64) y)) #s(literal 1/2 binary64))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) #s(literal 1/2 binary64))
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (.f64 y y) #s(literal 1/12 binary64)))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (.f64 y y) #s(literal 1/12 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (*.f64 y y) #s(literal 1/12 binary64)))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) y)) y))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))

eval85.0ms (1.2%)

Memory: -35.3MiB live, 115.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 10 005 to 1 027 computations (89.7% saved)

prune13.0ms (0.2%)

Memory

39.3MiB live, 39.3MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	239	8	247
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	240	11	251

Accuracy

100.0%

Counts

251 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	82.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	49.9%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	95.5%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) (.f64 y y) #s(literal 1 binary64)) x (.f64 x (.f64 y y))))
▶	94.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
	94.6%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) x))
▶	91.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
	94.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 x y) y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
▶	95.5%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
	94.8%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 (.f64 x y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
▶	95.5%	#s(approx (* x (exp (* y y))) (.f64 (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)) x))

Compiler

Compiled 453 to 270 computations (40.4% saved)

simplify240.0ms (3.4%)

Memory

-25.7MiB live, 204.4MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
cost-diff	2	(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
cost-diff	2	(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) y y)
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	(.f64 (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)) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (.f64 (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)) x))
cost-diff	2	(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))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
cost-diff	2	(fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) (.f64 y y) #s(literal 1 binary64)) x (.f64 x (.f64 y y))))
cost-diff	2	(fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) (.f64 y y) #s(literal 1 binary64)) x (.f64 x (.f64 y y)))
cost-diff	4	(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) (.f64 y y) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	433
0	69	457
1	159	439
2	596	415
3	3483	413
0	8129	397

Stop Event

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

Calls

Call 1

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

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

localize217.0ms (3.1%)

Memory

28.6MiB live, 130.8MiB allocated; 33ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34375	(*.f64 #s(literal 1/6 binary64) y)
accuracy	0.48055200717316493	(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
accuracy	3.8191689936379545	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
accuracy	8.962426163981384	(.f64 (.f64 y y) x)
accuracy	0.04296875	(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y)
accuracy	0.09765625	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	0.952701221373067	(fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x)
accuracy	3.8191689936379545	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
accuracy	0.03125	(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.09765625	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	0.952701221373067	(.f64 (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)) x)
accuracy	3.8191689936379545	#s(approx (* x (exp (* y y))) (.f64 (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)) x))
accuracy	0.48055200717316493	(fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
accuracy	3.8191689936379545	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
accuracy	8.962426163981384	(.f64 (.f64 y y) x)
accuracy	31.94079373838253	#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
accuracy	0.09765625	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	0.952701221373067	(fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) (.f64 y y) #s(literal 1 binary64)) x (.f64 x (.f64 y y)))
accuracy	3.8191689936379545	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) (.f64 y y) #s(literal 1 binary64)) x (.f64 x (.f64 y y))))
accuracy	8.962426163981384	(.f64 x (.f64 y y))

Samples

192.0ms

256×

valid

Compiler

Compiled 365 to 39 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 26.0ms (40.7% of total)

const: 24.0ms (37.6% of total)

ival-add: 11.0ms (17.2% of total)

ival-exp: 2.0ms (3.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series39.0ms (0.6%)

Memory

-16.2MiB live, 27.9MiB allocated; 9ms collecting garbage

Counts

22 → 48

Calls

Call 1

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

Outputs
(* x (+ 1 (+ (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))) (pow y 2))))
(* x (exp (pow y 2)))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (pow y 2))
(* x (+ 1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x y)
(* -1 (* x (+ (* -1 (+ 1 (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))))) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
1
(+ 1 (* 1/2 (pow y 4)))
(+ 1 (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))
(pow y 2)
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(* 1/6 y)
(* 1/6 (pow y 6))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (pow y 5))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	((+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (* x (exp (* y y))) (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* x y) (+ (* (* (* y y) x) (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* x (* y y)) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* 1/6 y))
4.0ms	x	@	-inf	((+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (* x (exp (* y y))) (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* x y) (+ (* (* (* y y) x) (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* x (* y y)) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* 1/6 y))
4.0ms	x	@	inf	((+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (* x (exp (* y y))) (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* x y) (+ (* (* (* y y) x) (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* x (* y y)) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* 1/6 y))
3.0ms	y	@	inf	((+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (* x (exp (* y y))) (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* x y) (+ (* (* (* y y) x) (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* x (* y y)) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* 1/6 y))
3.0ms	y	@	-inf	((+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (* x (exp (* y y))) (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (* y y) (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* x y) (+ (* (* (* y y) x) (+ (* (+ (* (* 1/6 y) y) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* x (* y y)) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* 1/6 y))

simplify149.0ms (2.1%)

Memory

14.2MiB live, 154.0MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	555
1	444	543
2	1650	520
3	5450	520
0	8099	475

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

Inputs
(* x (+ 1 (+ (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))) (pow y 2))))
(* x (exp (pow y 2)))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (pow y 2))
(* x (+ 1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x y)
(* -1 (* x (+ (* -1 (+ 1 (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))))) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
1
(+ 1 (* 1/2 (pow y 4)))
(+ 1 (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(* 1/2 (pow y 2))
(* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))
(pow y 2)
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(* 1/6 y)
(* 1/6 (pow y 6))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (pow y 5))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))

Outputs
(* x (+ 1 (+ (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))) (pow y 2))))
(fma.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x) y x)
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(fma.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x) y x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (+ 1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))))
(fma.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x) y x)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 (+ 1 (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))))) (* -1 (pow y 2)))))
(fma.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x) y x)
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(.f64 (fma.f64 y y (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))) x)
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(.f64 (fma.f64 y y (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow y 4)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 x y) y x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x) y) y x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 y y) x) y) y x)
(* 1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/2 binary64))
(* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)
(pow y 2)
(*.f64 y y)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(* 1/6 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/6 (* x (pow y 6)))
(.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1/6 binary64)) (+.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(* 1/6 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 5))
(*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1/6 binary64)))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 y y))))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
(.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64))))

rewrite345.0ms (4.9%)

Memory

-3.6MiB live, 370.6MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	325
0	69	325
1	308	315
2	2262	309
0	8714	293

Stop Event

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

Counts

22 → 646

Calls

Call 1

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

Outputs
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(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 y #s(literal 1/6 binary64)) y))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 y #s(literal 1/6 binary64)) y))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (.f64 y #s(literal 1/6 binary64)) y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (*.f64 y #s(literal 1/6 binary64)) y) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 y #s(literal 1/6 binary64))) y))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 y y)) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 y) (.f64 y #s(literal 1/6 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal 1/12 binary64))))))
(+.f64 (.f64 (.f64 y #s(literal 1/6 binary64)) y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 y #s(literal 1/6 binary64)) y))
#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) y)

eval328.0ms (4.6%)

Memory: -0.3MiB live, 341.1MiB allocated; 86ms collecting garbage
Compiler: Compiled 42 185 to 3 788 computations (91% saved)

prune44.0ms (0.6%)

Memory

-15.8MiB live, 77.4MiB allocated; 6ms collecting garbage

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	933	10	943
Fresh	2	1	3
Picked	4	1	5
Done	0	3	3
Total	939	15	954

Accuracy

100.0%

Counts

954 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	82.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	49.9%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	94.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 x y)) y x))
	93.9%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y)) x x))
▶	91.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 x y)) y x))
	91.7%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y) (.f64 x y) x))
✓	91.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
	94.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 x y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
▶	95.4%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y) y) y y) x))
	94.8%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 (.f64 x y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
▶	91.0%	#s(approx (* x (exp (* y y))) (-.f64 x (.f64 (neg.f64 (.f64 y y)) (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))))
▶	95.5%	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
	95.4%	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
▶	75.8%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (fma.f64 (*.f64 x y) y x)))

Compiler

Compiled 687 to 421 computations (38.7% saved)

simplify156.0ms (2.2%)

Memory

34.5MiB live, 216.0MiB allocated; 42ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y) y) y y) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y) y) y y) x))
cost-diff	2	(fma.f64 (.f64 (.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y) y) y y)
cost-diff	0	(neg.f64 (*.f64 y y))
cost-diff	0	#s(approx (* x (exp (* y y))) (-.f64 x (.f64 (neg.f64 (.f64 y y)) (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))))
cost-diff	2	(.f64 (neg.f64 (.f64 y y)) (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
cost-diff	2	(-.f64 x (.f64 (neg.f64 (.f64 y y)) (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)))
cost-diff	0	(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 x y))
cost-diff	0	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 x y)) y x))
cost-diff	2	(fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 x y)) y x)
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (*.f64 x y) y x)
cost-diff	0	#s(approx (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (fma.f64 (*.f64 x y) y x))
cost-diff	0	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (fma.f64 (*.f64 x y) y x)))
cost-diff	0	(fma.f64 (fma.f64 (.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
cost-diff	2	(fma.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	529
0	76	506
1	165	495
2	546	491
3	2742	490
4	7667	490
0	9155	468

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (1.8%)

Memory

4.9MiB live, 242.4MiB allocated; 35ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.203125	(.f64 (.f64 y y) #s(literal 1/6 binary64))
accuracy	0.952701221373067	(fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y) y) y y) x)
accuracy	3.8191689936379545	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y) y) y y) x))
accuracy	30.127824357630764	#s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
accuracy	1.8898869827140508	(.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
accuracy	3.8191689936379545	#s(approx (* x (exp (* y y))) (-.f64 x (.f64 (neg.f64 (.f64 y y)) (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))))
accuracy	4.753328054416453	(.f64 (neg.f64 (.f64 y y)) (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
accuracy	31.94079373838253	#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
accuracy	0.03125	(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy	0.7278047283668745	(.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 x y))
accuracy	3.8191689936379545	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 x y)) y x))
accuracy	31.94079373838253	#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	0.0859375	(fma.f64 (*.f64 x y) y x)
accuracy	3.8191689936379545	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (fma.f64 (*.f64 x y) y x)))
accuracy	15.416243362821247	#s(approx (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (fma.f64 (*.f64 x y) y x))
accuracy	0.06640625	(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64))
accuracy	0.34375	(*.f64 y #s(literal 1/6 binary64))
accuracy	0.952701221373067	(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x)
accuracy	3.8191689936379545	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))

Samples

95.0ms

256×

valid

Compiler

Compiled 373 to 44 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 31.0ms (43% of total)

ival-add: 28.0ms (38.9% of total)

ival-neg: 5.0ms (6.9% of total)

const: 4.0ms (5.6% of total)

ival-exp: 2.0ms (2.8% of total)

ival-sub: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory

-12.8MiB live, 45.2MiB allocated; 22ms collecting garbage

Counts

25 → 73

Calls

Call 1

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

Outputs
(* x (exp (pow y 2)))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (+ (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))) (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x y)
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (- 1 (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))))
(* -1 (* x (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* -1 (* x (+ (* -1 (+ 1 (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))))) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(* y (+ x (* 1/2 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))
(+ x (* (pow y 2) (- (* 1/2 (* x (pow y 2))) (* -1 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/6 (* x (pow y 2))) (* -1/2 x))) (* -1 x))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1/2 (* x (pow y 2)))))
(* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -1/2 x) (* -1/6 (* x (pow y 2)))))))
(* -1 (pow y 2))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* 1/6 y)
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
(* 1/6 (pow y 2))
(* 1/6 (pow y 6))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* 1/6 (* x (pow y 5)))
(* (pow y 5) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 5) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (- (* 1/2 (/ x (pow y 2))) (* -1/6 x)))
(* (pow y 6) (- (/ x (pow y 4)) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(* (pow y 6) (- (/ x (pow y 6)) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(* -1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))
(* (pow y 6) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(* 1/6 (pow y 5))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* -1 (* (pow y 5) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	((+ (* (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (+ (* (* x y) y) x) (* x y) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x y)) y) x) (* x (exp (* y y))) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x y)) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (- x (* (neg (* y y)) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) (* (neg (* y y)) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (neg (* y y)) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* y 1/6) (+ (* (* y 1/6) y) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6))
7.0ms	x	@	0	((+ (* (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (+ (* (* x y) y) x) (* x y) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x y)) y) x) (* x (exp (* y y))) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x y)) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (- x (* (neg (* y y)) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) (* (neg (* y y)) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (neg (* y y)) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* y 1/6) (+ (* (* y 1/6) y) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6))
5.0ms	x	@	-inf	((+ (* (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (+ (* (* x y) y) x) (* x y) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x y)) y) x) (* x (exp (* y y))) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x y)) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (- x (* (neg (* y y)) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) (* (neg (* y y)) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (neg (* y y)) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* y 1/6) (+ (* (* y 1/6) y) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6))
3.0ms	y	@	inf	((+ (* (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (+ (* (* x y) y) x) (* x y) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x y)) y) x) (* x (exp (* y y))) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x y)) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (- x (* (neg (* y y)) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) (* (neg (* y y)) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (neg (* y y)) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* y 1/6) (+ (* (* y 1/6) y) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6))
3.0ms	y	@	-inf	((+ (* (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* y y)) 1) (* x (exp (* y y))) (* (+ (* (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* y y)) 1) x) (+ (* (+ (* (* y 1/6) y) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (+ (* (* x y) y) x) (* x y) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x y)) y) x) (* x (exp (* y y))) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x y)) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (- x (* (neg (* y y)) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x))) (* (neg (* y y)) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x)) (* x (exp (* y y))) (neg (* y y)) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y) (* x (exp (* y y))) (+ (* (* x y) (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) y) y)) x) (* y 1/6) (+ (* (* y 1/6) y) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6))

simplify175.0ms (2.5%)

Memory

15.2MiB live, 203.6MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	962
1	649	927
2	2515	885
3	7076	885
0	8259	819

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 71

Calls

Call 1

Inputs
(* x (exp (pow y 2)))
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (+ (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))) (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x y)
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(* x (- 1 (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))))
(* -1 (* x (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))))
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* -1 (* x (+ (* -1 (+ 1 (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))))) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(* y (+ x (* 1/2 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))
(+ x (* (pow y 2) (- (* 1/2 (* x (pow y 2))) (* -1 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/6 (* x (pow y 2))) (* -1/2 x))) (* -1 x))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1/2 (* x (pow y 2)))))
(* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -1/2 x) (* -1/6 (* x (pow y 2)))))))
(* -1 (pow y 2))
y
(* y (+ 1 (* 1/2 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(* 1/6 y)
1/2
(+ 1/2 (* 1/6 (pow y 2)))
(+ x (* 1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
(* 1/6 (pow y 2))
(* 1/6 (pow y 6))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(* 1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(* 1/6 (pow y 4))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* 1/6 (* x (pow y 5)))
(* (pow y 5) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 5) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* (pow y 6) (- (* 1/2 (/ x (pow y 2))) (* -1/6 x)))
(* (pow y 6) (- (/ x (pow y 4)) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(* (pow y 6) (- (/ x (pow y 6)) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(* -1/6 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))
(* (pow y 6) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(* 1/6 (pow y 5))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(* 1/6 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(* -1 (* (pow y 5) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))

Outputs
(* x (exp (pow y 2)))
(*.f64 (pow.f64 (exp.f64 y) y) x)
(* x (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))) (pow y 2))))
(.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) x)
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x y)
(*.f64 x y)
(* x (* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)
(* x (- 1 (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))))
(.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) x)
(* -1 (* x (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))))
(.f64 (.f64 (neg.f64 y) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y))
(* x (+ 1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))))
(.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1 (+ 1 (* (pow y 4) (+ 1/2 (* 1/6 (pow y 2)))))) (* -1 (pow y 2)))))
(.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (* y (+ y (* (pow y 3) (+ 1/2 (* 1/6 (pow y 2))))))) 1)))
(.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64)))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2))))))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x)
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))))
(.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) x)
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
(* y (+ x (* 1/2 (* x (pow y 2)))))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)
(* y (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)
(+ x (* (pow y 2) (- (* 1/2 (* x (pow y 2))) (* -1 x))))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x)
(+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/6 (* x (pow y 2))) (* -1/2 x))) (* -1 x))))
(.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) x)
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) x) y)
(* (pow y 2) (+ (* -1 x) (* -1/2 (* x (pow y 2)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal -1 binary64)) (.f64 (.f64 x y) y))
(* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -1/2 x) (* -1/6 (* x (pow y 2)))))))
(.f64 (.f64 (neg.f64 y) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
y
(* y (+ 1 (* 1/2 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y)
(* y (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ x (* 1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x))))
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(* 1/6 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* (pow y 6) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/6 (* x (pow y 6)))
(.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64))
(* (pow y 6) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (+ (/ x (pow y 4)) (/ x (pow y 6))))))
(.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1/6 binary64)) (+.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(* 1/6 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/6 binary64))
(* (pow y 4) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* x (pow y 2))
(.f64 (.f64 x y) y)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* 1/6 (* x (pow y 5)))
(.f64 (.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64)) x)
(* (pow y 5) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(* (pow y 5) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(* (pow y 6) (- (* 1/2 (/ x (pow y 2))) (* -1/6 x)))
(.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (/ x (pow y 4)) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (- (/ x (pow y 6)) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal -1/6 binary64)) (+.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(* -1/6 (* x (pow y 6)))
(.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal -1/6 binary64))
(* (pow y 6) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))
(.f64 (.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(.f64 (fma.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* 1/6 (pow y 5))
(*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64))
(* (pow y 5) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)))
(* (pow y 5) (+ 1/6 (+ (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 y y))))
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 (* x (pow y 4)))
(.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/6 binary64))
(* (pow y 4) (+ (* 1/6 x) (* 1/2 (/ x (pow y 2)))))
(.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow y 2))) (/ x (pow y 4)))))
(.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* -1 (* (pow y 5) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1/6 binary64))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/2 (/ x (pow y 2))) (* -1/6 x)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow y 2))) (pow y 2))) 1/6)))
(.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/6 binary64))))

rewrite257.0ms (3.6%)

Memory

20.8MiB live, 385.0MiB allocated; 107ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	438
0	76	419
1	309	408
2	2214	404
0	8292	397

Stop Event

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

Counts

25 → 412

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (*.f64 y y)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)))) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)))) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)))) (fma.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y))))))
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(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 (.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))
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(fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) #s(literal 1 binary64))
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(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y)))
#s(approx (* x (exp (* y y))) (.f64 x (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64))))
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(/.f64 (.f64 (-.f64 (.f64 (pow.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) x) (-.f64 (.f64 (.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y)))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y)))
(fma.f64 (.f64 (.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (.f64 (.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) x))
(+.f64 (.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) x))
(+.f64 (.f64 x (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y)))
#s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 y))) y)
(.f64 (fabs.f64 (.f64 #s(literal 1/6 binary64) y)) y)
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1/6 binary64)))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) y) y)
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(.f64 y (fabs.f64 (.f64 (neg.f64 y) #s(literal 1/6 binary64))))
(.f64 y (fabs.f64 (.f64 #s(literal 1/6 binary64) y)))
(.f64 y (.f64 #s(literal 1/6 binary64) y))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64))))
(fabs.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)))

eval173.0ms (2.4%)

Memory: -40.7MiB live, 203.6MiB allocated; 52ms collecting garbage
Compiler: Compiled 21 603 to 2 072 computations (90.4% saved)

prune27.0ms (0.4%)

Memory

13.5MiB live, 59.2MiB allocated; 4ms collecting garbage

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	465	5	470
Fresh	2	4	6
Picked	1	4	5
Done	0	4	4
Total	468	17	485

Accuracy

100.0%

Counts

485 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	82.3%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	49.9%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	94.6%	#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 (*.f64 x y) y) x))
	93.9%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y)) x x))
✓	91.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 x y)) y x))
	91.7%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y) (.f64 x y) x))
✓	91.0%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
	94.6%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 x y) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))) y x))
	94.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 x y) y) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
	95.4%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y) y) y y) x))
	94.8%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 (.f64 x y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
✓	91.0%	#s(approx (* x (exp (* y y))) (-.f64 x (.f64 (neg.f64 (.f64 y y)) (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))))
✓	95.5%	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
	95.5%	#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
✓	75.8%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (fma.f64 (*.f64 x y) y x)))
	30.0%	#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) #s(approx (+ (* (* x y) y) x) (.f64 (.f64 x y) y))))

Compiler

Compiled 1 171 to 402 computations (65.7% saved)

regimes37.0ms (0.5%)

Memory

18.1MiB live, 62.8MiB allocated; 8ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	(.f64 x (exp.f64 (.f64 y y)))
7.0ms	x
7.0ms	y
6.0ms	(*.f64 y y)
5.0ms	(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)

regimes40.0ms (0.6%)

Memory

-4.3MiB live, 46.7MiB allocated; 10ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

Outputs

#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y) (*.f64 y y) #s(literal 1 binary64)) x (*.f64 x (*.f64 y y))))

Calls

5 calls:

14.0ms	x
7.0ms	y
7.0ms	(.f64 x (exp.f64 (.f64 y y)))
6.0ms	(*.f64 y y)
5.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
95.5%	1	`(*.f64 y y)`
95.5%	1	`(exp.f64 (*.f64 y y))`
95.5%	1	`(.f64 x (exp.f64 (.f64 y y)))`
95.5%	1	`x`
95.5%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes43.0ms (0.6%)

Memory

8.2MiB live, 53.4MiB allocated; 5ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))

Calls

5 calls:

18.0ms	(.f64 x (exp.f64 (.f64 y y)))
7.0ms	x
7.0ms	y
6.0ms	(*.f64 y y)
5.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
95.5%	1	`(*.f64 y y)`
95.5%	1	`(exp.f64 (*.f64 y y))`
95.5%	1	`(.f64 x (exp.f64 (.f64 y y)))`
95.5%	1	`x`
95.5%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes29.0ms (0.4%)

Memory

8.8MiB live, 52.6MiB allocated; 6ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs

#s(approx (* x (exp (* y y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))

Calls

5 calls:

9.0ms	y
5.0ms	x
5.0ms	(.f64 x (exp.f64 (.f64 y y)))
4.0ms	(*.f64 y y)
4.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
95.5%	1	`(*.f64 y y)`
95.5%	1	`(exp.f64 (*.f64 y y))`
95.5%	1	`(.f64 x (exp.f64 (.f64 y y)))`
95.5%	1	`y`
95.5%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes25.0ms (0.4%)

Memory

-39.1MiB live, 59.4MiB allocated; 10ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	y
4.0ms	x
4.0ms	(.f64 x (exp.f64 (.f64 y y)))
4.0ms	(*.f64 y y)
3.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
95.4%	1	`(*.f64 y y)`
95.4%	1	`(exp.f64 (*.f64 y y))`
95.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
95.4%	1	`x`
95.4%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes16.0ms (0.2%)

Memory

45.0MiB live, 45.0MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

#s(approx (* x (exp (* y y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
95.4%	1	`(*.f64 y y)`
95.4%	1	`(exp.f64 (*.f64 y y))`
95.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
95.4%	1	`y`
95.4%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes17.0ms (0.2%)

Memory

-15.5MiB live, 31.5MiB allocated; 2ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	x
3.0ms	y
3.0ms	(.f64 x (exp.f64 (.f64 y y)))
3.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
93.9%	1	`(*.f64 y y)`
93.9%	1	`(exp.f64 (*.f64 y y))`
93.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
93.9%	1	`y`
93.9%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes19.0ms (0.3%)

Memory

-9.9MiB live, 36.8MiB allocated; 1ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	(.f64 x (exp.f64 (.f64 y y)))
3.0ms	x
2.0ms	y
2.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
91.7%	1	`(*.f64 y y)`
91.7%	1	`(exp.f64 (*.f64 y y))`
91.7%	1	`(.f64 x (exp.f64 (.f64 y y)))`
91.7%	1	`x`
91.7%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes40.0ms (0.6%)

Memory

-8.4MiB live, 38.9MiB allocated; 2ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
91.0%	1	`(*.f64 y y)`
91.0%	1	`(exp.f64 (*.f64 y y))`
91.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
91.0%	1	`y`
91.0%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes12.0ms (0.2%)

Memory

-8.2MiB live, 39.9MiB allocated; 4ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(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
82.3%	1	`(exp.f64 (*.f64 y y))`
82.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
82.3%	1	`(*.f64 y y)`
82.3%	1	`y`
82.3%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes8.0ms (0.1%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (fma.f64 (*.f64 x y) y x)))

Outputs
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (fma.f64 (*.f64 x y) y x)))

Calls

5 calls:

2.0ms	x
2.0ms	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%	1	`(*.f64 y y)`
75.8%	1	`y`
75.8%	1	`(exp.f64 (*.f64 y y))`
75.8%	1	`(.f64 x (exp.f64 (.f64 y y)))`
75.8%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes6.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

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
75.5%	2	`(*.f64 y y)`
49.9%	1	`x`
75.5%	2	`y`
75.5%	2	`(exp.f64 (*.f64 y y))`
75.5%	2	`(.f64 x (exp.f64 (.f64 y y)))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes7.0ms (0.1%)

Memory

-30.7MiB live, 15.7MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	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
49.9%	1	`x`
49.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
49.9%	1	`(*.f64 y y)`
49.9%	1	`(exp.f64 (*.f64 y y))`
49.9%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.004170354550653	4421426206136.673

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify49.0ms (0.7%)

Memory

15.6MiB live, 61.4MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	352
1	116	344
2	266	344
3	978	340
4	3918	340

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) (.f64 y y) #s(literal 1 binary64)) x (.f64 x (.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y) (.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (fma.f64 (*.f64 x y) y x)))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) #s(approx (+ (* (* x y) y) x) (.f64 (.f64 x y) y)))))
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))

Outputs
(.f64 x (exp.f64 (.f64 y y)))
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) (.f64 y y) #s(literal 1 binary64)) x (.f64 x (.f64 y y))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) y) y)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) #s(literal 1 binary64)) (.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) y) (.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) (fma.f64 (*.f64 x y) y x)))
(if (<=.f64 (exp.f64 (.f64 y y)) #s(literal 2 binary64)) (.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (+ (* (* (* (+ (* 1/6 (* y y)) 1/2) y) y) (* y y)) 1) x) (* x (* y y))) #s(approx (+ (* (* x y) y) x) (.f64 (.f64 x y) y)))))
(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))

derivations1.4s (19.7%)

Memory

-41.5MiB live, 1 327.6MiB allocated; 317ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	325
0	69	325
1	308	315
2	2262	309
0	8714	293
0	19	95
0	30	95
1	118	95
2	910	95
0	8711	95
0	118	555
1	444	543
2	1650	520
3	5450	520
0	8099	475
0	174	962
1	649	927
2	2515	885
3	7076	885
0	8259	819
0	65	239
1	225	239
2	848	222
3	3775	220
0	8251	198
0	45	438
0	76	419
1	309	408
2	2214	404
0	8292	397
0	33	97
1	127	97
2	492	91
3	2193	89
4	4804	89
0	8100	77

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 352 to 83 computations (76.4% saved)

preprocess100.0ms (1.4%)

Memory

23.8MiB live, 162.3MiB allocated; 27ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 776 to 226 computations (70.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample904.0ms (12.8%)

explain106.0ms (1.5%)

preprocess334.0ms (4.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify213.0ms (3%)

localize22.0ms (0.3%)

series4.0ms (0.1%)

simplify357.0ms (5%)

rewrite119.0ms (1.7%)

eval8.0ms (0.1%)

prune17.0ms (0.2%)

simplify116.0ms (1.6%)

localize103.0ms (1.5%)

series13.0ms (0.2%)

simplify277.0ms (3.9%)

rewrite224.0ms (3.2%)

eval85.0ms (1.2%)

prune13.0ms (0.2%)

simplify240.0ms (3.4%)

localize217.0ms (3.1%)

series39.0ms (0.6%)

simplify149.0ms (2.1%)

rewrite345.0ms (4.9%)

eval328.0ms (4.6%)

prune44.0ms (0.6%)

simplify156.0ms (2.2%)

localize129.0ms (1.8%)

series38.0ms (0.5%)

simplify175.0ms (2.5%)

rewrite257.0ms (3.6%)

eval173.0ms (2.4%)

prune27.0ms (0.4%)

regimes37.0ms (0.5%)

regimes40.0ms (0.6%)

regimes43.0ms (0.6%)

regimes29.0ms (0.4%)

regimes25.0ms (0.4%)

regimes16.0ms (0.2%)

regimes17.0ms (0.2%)

regimes19.0ms (0.3%)

regimes40.0ms (0.6%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

simplify49.0ms (0.7%)

derivations1.4s (19.7%)

preprocess100.0ms (1.4%)

end0.0ms (0%)

Profiling