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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample990.0ms (15.2%)

Memory

-21.1MiB live, 1 067.1MiB allocated; 234ms collecting garbage

Samples

668.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 403.0ms

ival-mult: 327.0ms (81% of total)

ival-exp: 64.0ms (15.9% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 4.0ms (1% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain126.0ms (1.9%)

Memory

-18.4MiB live, 186.5MiB allocated; 16ms 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

27.0ms

512×

valid

Compiler

Compiled 40 to 19 computations (52.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (61.3% of total)

ival-exp: 4.0ms (30.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess272.0ms (4.2%)

Memory

45.6MiB live, 277.8MiB allocated; 23ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

simplify264.0ms (4.1%)

Memory

-32.9MiB live, 219.8MiB allocated; 30ms 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

localize16.0ms (0.3%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(.f64 x (exp.f64 (.f64 y y)))
accuracy	0.0	(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: 6.0ms

ival-mult: 3.0ms (52.2% of total)

ival-exp: 2.0ms (34.8% of total)

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

adjust: 0.0ms (0% of total)

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

series26.0ms (0.4%)

Memory

-33.5MiB live, 10.8MiB allocated; 8ms 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
22.0ms	x	@	0	((* x (exp (* y y))) (exp (* y y)) (* y y))
1.0ms	x	@	inf	((* x (exp (* y y))) (exp (* y y)) (* y y))
1.0ms	y	@	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))

simplify281.0ms (4.3%)

Memory

25.7MiB live, 305.6MiB allocated; 28ms 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 (1.8%)

Memory

-32.2MiB live, 118.1MiB allocated; 19ms 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))))

eval11.0ms (0.2%)

Memory: 23.9MiB live, 23.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 094 to 230 computations (79% saved)

prune2.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms 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)))
▶	79.5%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	52.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	91.1%	#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)

simplify249.0ms (3.8%)

Memory

4.2MiB live, 158.1MiB allocated; 100ms 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)

localize53.0ms (0.8%)

Memory

-7.9MiB live, 83.5MiB allocated; 7ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.0	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
accuracy	16.46693374982118	#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))
accuracy	0.0	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
accuracy	30.42327543618245	#s(approx (exp (* y y)) #s(literal 1 binary64))
accuracy	0.1328125	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	0.2594600747615823	(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	5.923504682570685	#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	5.999345567995487	(.f64 (.f64 y y) x)

Samples

42.0ms

256×

valid

Compiler

Compiled 92 to 18 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 19.0ms (61.9% of total)

ival-add: 5.0ms (16.3% of total)

const: 4.0ms (13% of total)

ival-exp: 2.0ms (6.5% 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)

series38.0ms (0.6%)

Memory

-22.4MiB live, 30.8MiB allocated; 7ms 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
28.0ms	y	@	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))
3.0ms	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	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))
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))

simplify222.0ms (3.4%)

Memory

25.2MiB live, 211.0MiB allocated; 19ms 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))

rewrite250.0ms (3.9%)

Memory

22.9MiB live, 204.8MiB allocated; 40ms 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)))

eval72.0ms (1.1%)

Memory: -26.2MiB live, 63.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 10 005 to 1 027 computations (89.7% saved)

prune11.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	238	9	247
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	239	12	251

Accuracy

100.0%

Counts

251 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	79.5%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
▶	79.5%	(.f64 x #s(approx (exp ( y y)) (+.f64 (*.f64 y y) #s(literal 1 binary64))))
✓	52.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
▶	92.9%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y)) x x))
	90.7%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) (.f64 y (.f64 x (.f64 y y))) (.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
▶	90.8%	#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))
	86.5%	#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))
	90.7%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) x) x))
▶	92.2%	#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))
▶	90.7%	#s(approx (* x (exp (* y y))) (fma.f64 y (fma.f64 (.f64 x (.f64 y y)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) (*.f64 x y)) x))
	91.1%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (.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)) x))

Compiler

Compiled 481 to 286 computations (40.5% saved)

simplify169.0ms (2.6%)

Memory

-8.8MiB live, 225.8MiB allocated; 49ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	400
0	63	396
1	147	394
2	556	385
3	3305	385
4	6778	385
0	8131	369

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (2.1%)

Memory

7.7MiB live, 334.4MiB allocated; 53ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	0.2662249112798163	(fma.f64 (.f64 x (.f64 y y)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) (*.f64 x y))
accuracy	5.923504682570685	#s(approx (* x (exp (* y y))) (fma.f64 y (fma.f64 (.f64 x (.f64 y y)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y) (*.f64 x y)) x))
accuracy	5.999345567995487	(.f64 x (.f64 y y))
accuracy	0.07421875	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) y)
accuracy	0.1328125	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	0.9314881304037843	(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	5.923504682570685	#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	0.26953125	(.f64 #s(literal 1/6 binary64) (.f64 y y))
accuracy	5.923504682570685	#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))
accuracy	5.999345567995487	(.f64 (.f64 y y) x)
accuracy	31.933506067073992	#s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(.f64 x #s(approx (exp ( y y)) (+.f64 (*.f64 y y) #s(literal 1 binary64))))
accuracy	0.00390625	(+.f64 (*.f64 y y) #s(literal 1 binary64))
accuracy	16.46693374982118	#s(approx (exp (* y y)) (+.f64 (*.f64 y y) #s(literal 1 binary64)))
accuracy	0.05859375	(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	0.1328125	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))
accuracy	1.4075876932260554	(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y)) x x)
accuracy	5.923504682570685	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y)) x x))

Samples

103.0ms

256×

valid

Compiler

Compiled 317 to 33 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 54.0ms (64.9% of total)

ival-add: 23.0ms (27.6% of total)

const: 3.0ms (3.6% of total)

ival-exp: 2.0ms (2.4% 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)

series56.0ms (0.9%)

Memory

-11.4MiB live, 86.8MiB allocated; 39ms collecting garbage

Counts

23 → 57

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	y	@	inf	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* y y) 1) (* x (exp (* y y))) (exp (* y y)) (* y y) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (+ (* (* (* (+ (* 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) (+ (* (* x (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y)) (* x y)) (* x (exp (* y y))) (+ (* y (+ (* (* x (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y)) (* x y))) x) (* x (* y y)) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* 1/6 (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y))
12.0ms	x	@	inf	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* y y) 1) (* x (exp (* y y))) (exp (* y y)) (* y y) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (+ (* (* (* (+ (* 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) (+ (* (* x (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y)) (* x y)) (* x (exp (* y y))) (+ (* y (+ (* (* x (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y)) (* x y))) x) (* x (* y y)) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* 1/6 (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y))
5.0ms	x	@	0	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* y y) 1) (* x (exp (* y y))) (exp (* y y)) (* y y) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (+ (* (* (* (+ (* 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) (+ (* (* x (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y)) (* x y)) (* x (exp (* y y))) (+ (* y (+ (* (* x (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y)) (* x y))) x) (* x (* y y)) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* 1/6 (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y))
4.0ms	x	@	-inf	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* y y) 1) (* x (exp (* y y))) (exp (* y y)) (* y y) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (+ (* (* (* (+ (* 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) (+ (* (* x (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y)) (* x y)) (* x (exp (* y y))) (+ (* y (+ (* (* x (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y)) (* x y))) x) (* x (* y y)) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* 1/6 (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y))
3.0ms	y	@	-inf	((* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (+ (* y y) 1) (* x (exp (* y y))) (exp (* y y)) (* y y) (+ (* (* (* y y) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1)) x) (* x (exp (* y y))) (* (* y y) x) (+ (* (* (* (+ (* 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) (+ (* (* x (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y)) (* x y)) (* x (exp (* y y))) (+ (* y (+ (* (* x (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y)) (* x y))) x) (* x (* y y)) (+ (* 1/6 (* y y)) 1/2) (+ (* 1/6 (* y y)) 1/2) (* 1/6 (* y y)) (* (+ (* 1/6 (* y y)) 1/2) y))

simplify167.0ms (2.6%)

Memory

-8.7MiB live, 234.6MiB allocated; 67ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	657
1	498	633
2	1880	615
3	5918	615
0	8319	563

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 55

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

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

rewrite213.0ms (3.3%)

Memory

34.6MiB live, 307.2MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	318
0	63	314
1	264	303
2	2193	303
0	8226	291

Stop Event

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

Counts

23 → 697

Calls

Call 1

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

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

eval162.0ms (2.5%)

Memory: -13.0MiB live, 224.2MiB allocated; 45ms collecting garbage
Compiler: Compiled 39 585 to 3 922 computations (90.1% saved)

prune28.0ms (0.4%)

Memory

31.5MiB live, 77.3MiB allocated; 4ms collecting garbage

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	896	12	908
Fresh	4	0	4
Picked	4	1	5
Done	0	3	3
Total	904	16	920

Accuracy

100.0%

Counts

920 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	79.5%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	79.5%	(.f64 x #s(approx (exp ( y y)) (+.f64 (*.f64 y y) #s(literal 1 binary64))))
✓	52.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	91.9%	#s(approx (* x (exp (* y y))) (fma.f64 (.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)) y) (.f64 x y) x))
▶	90.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.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)) x) (.f64 y y) x))
▶	89.4%	#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))
	86.5%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))
▶	92.3%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) (.f64 y y)) x x))
	90.5%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y) (.f64 y (.f64 x (.f64 y y))) (fma.f64 (.f64 x y) y x)))
	92.2%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x))
▶	87.9%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) y y) x))
	90.7%	#s(approx (* x (exp (* y y))) (fma.f64 y (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y (.f64 x (.f64 y y))) (*.f64 x y)) x))
	86.5%	#s(approx (* x (exp (* y y))) (fma.f64 y (fma.f64 (.f64 x (.f64 y y)) (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) (*.f64 x y)) x))
▶	90.7%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 x y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)) x))
	91.1%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (+.f64 x (.f64 x (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))) x))

Compiler

Compiled 731 to 439 computations (39.9% saved)

simplify178.0ms (2.7%)

Memory

-20.7MiB live, 172.2MiB allocated; 50ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	568
0	73	548
1	167	548
2	562	539
3	3024	539
4	7855	539
0	8009	526

Stop Event

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

Calls

Call 1

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

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

localize99.0ms (1.5%)

Memory

-1.6MiB live, 185.5MiB allocated; 29ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y)
accuracy	0.1328125	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.9897276177221057	(fma.f64 (.f64 x y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)
accuracy	5.923504682570685	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 x y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)) x))
accuracy	0.26953125	(.f64 (.f64 y y) #s(literal 1/6 binary64))
accuracy	1.9058408194115357	(.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)) x)
accuracy	5.923504682570685	#s(approx (* x (exp (* y y))) (fma.f64 (.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)) x) (.f64 y y) x))
accuracy	31.933506067073992	#s(approx (+ (* 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
accuracy	0.05859375	(fma.f64 #s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy	1.4075876932260554	(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)
accuracy	5.923504682570685	#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))
accuracy	30.050544515554595	#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
accuracy	0.07421875	(.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y)
accuracy	0.9314881304037843	(fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) y y) x)
accuracy	5.923504682570685	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) y y) x))
accuracy	30.050544515554595	#s(approx (+ (* 1/6 (* y y)) 1/2) #s(literal 1/2 binary64))
accuracy	0.1328125	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	1.4075876932260554	(fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) (.f64 y y)) x x)
accuracy	5.923504682570685	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) (.f64 y y)) x x))
accuracy	31.79196685071311	#s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))

Samples

71.0ms

256×

valid

Compiler

Compiled 398 to 36 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 36.0ms (69.7% of total)

ival-add: 10.0ms (19.4% of total)

const: 3.0ms (5.8% of total)

ival-exp: 2.0ms (3.9% 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)

series45.0ms (0.7%)

Memory

9.8MiB live, 55.6MiB allocated; 10ms collecting garbage

Counts

26 → 58

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	x	@	-inf	((* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (+ (* (+ (* 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) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* y y)) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x)) (* x (exp (* y y))) (+ (* y (* y (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x))) x) (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (* (+ (* (* y y) 1/6) 1/2) y))
6.0ms	x	@	0	((* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (+ (* (+ (* 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) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* y y)) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x)) (* x (exp (* y y))) (+ (* y (* y (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x))) x) (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (* (+ (* (* y y) 1/6) 1/2) y))
3.0ms	x	@	inf	((* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (+ (* (+ (* 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) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* y y)) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x)) (* x (exp (* y y))) (+ (* y (* y (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x))) x) (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (* (+ (* (* y y) 1/6) 1/2) y))
2.0ms	y	@	-inf	((* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (+ (* (+ (* 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) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* y y)) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x)) (* x (exp (* y y))) (+ (* y (* y (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x))) x) (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (* (+ (* (* y y) 1/6) 1/2) y))
2.0ms	y	@	inf	((* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (+ (* (+ (* 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) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y y)) x) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* x (exp (* y y))) (+ (* (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (* y y)) x) (* (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) x) (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (* y (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x)) (* x (exp (* y y))) (+ (* y (* y (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x))) x) (+ (* (* x y) (* (+ (* (* y y) 1/6) 1/2) y)) x) (+ (* (* y y) 1/6) 1/2) (+ (* 1/6 (* y y)) 1/2) (* (+ (* 1/6 (* y y)) 1/2) y) (+ (* 1/6 (* y y)) 1/2) (* (* y y) 1/6) (* (+ (* (* y y) 1/6) 1/2) y))

simplify138.0ms (2.1%)

Memory

12.0MiB live, 238.3MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	717
1	493	695
2	1838	667
3	5682	667
0	8137	619

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 56

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

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

rewrite422.0ms (6.5%)

Memory

-3.1MiB live, 405.1MiB allocated; 134ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	488
0	73	470
1	305	464
2	2247	464
0	8906	454

Stop Event

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

Counts

26 → 607

Calls

Call 1

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

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

eval135.0ms (2.1%)

Memory: -33.2MiB live, 300.2MiB allocated; 40ms collecting garbage
Compiler: Compiled 41 034 to 3 275 computations (92% saved)

prune32.0ms (0.5%)

Memory

42.9MiB live, 90.0MiB allocated; 3ms collecting garbage

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	651	10	661
Fresh	1	6	7
Picked	3	2	5
Done	1	3	4
Total	656	21	677

Accuracy

100.0%

Counts

677 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	79.5%	(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
✓	52.7%	(.f64 x #s(approx (exp ( y y)) #s(literal 1 binary64)))
	91.9%	#s(approx (* x (exp (* y y))) (fma.f64 (.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)) y) (.f64 x y) x))
✓	90.8%	#s(approx (* x (exp (* y y))) (fma.f64 (.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)) x) (.f64 y y) x))
	86.5%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))
	92.3%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) y) y) x x))
	86.5%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y x) (fma.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64))) y x))
	91.5%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) y) (.f64 y x) x))
	92.3%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y)) (.f64 y y)) x x))
	88.9%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 #s(approx (+ (* (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) y) y)) (*.f64 y y)) x x))
	90.5%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y) (.f64 y (.f64 x (.f64 y y))) (fma.f64 (.f64 x y) y x)))
	73.7%	#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x))
✓	87.9%	#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) y y) x))
	90.7%	#s(approx (* x (exp (* y y))) (fma.f64 y (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y (.f64 x (.f64 y y))) (*.f64 x y)) x))
	90.7%	#s(approx (* x (exp (* y y))) (fma.f64 y (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) (.f64 (.f64 y x) y) (*.f64 y x)) x))
	86.5%	#s(approx (* x (exp (* y y))) (fma.f64 y (fma.f64 (.f64 x (.f64 y y)) (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) (*.f64 x y)) x))
	90.7%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 y y) x)) x))
	90.7%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 x y) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) x)) x))
	86.5%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 x y) (.f64 #s(approx (+ ( (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) y) x)) x))
	91.1%	#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (+.f64 x (.f64 x (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)))) x))

Compiler

Compiled 1 483 to 501 computations (66.2% saved)

regimes49.0ms (0.7%)

Memory

-26.2MiB live, 71.5MiB allocated; 13ms collecting garbage

Counts

35 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	(exp.f64 (*.f64 y y))
9.0ms	y
9.0ms	x
8.0ms	(.f64 x (exp.f64 (.f64 y y)))
8.0ms	(*.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)

regimes73.0ms (1.1%)

Memory

5.8MiB live, 50.1MiB allocated; 9ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

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

Calls

5 calls:

41.0ms	(.f64 x (exp.f64 (.f64 y y)))
9.0ms	x
8.0ms	y
7.0ms	(*.f64 y y)
6.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
92.9%	1	`(*.f64 y y)`
92.9%	1	`(exp.f64 (*.f64 y y))`
92.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
92.9%	1	`x`
92.9%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes46.0ms (0.7%)

Memory

3.0MiB live, 47.7MiB allocated; 5ms 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))) (fma.f64 (*.f64 y x) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (+.f64 (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 #s(approx (+ (* (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) y) y)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 x y) (.f64 #s(approx (+ ( (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) y) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y x) (fma.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) 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) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) 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))) (fma.f64 y (fma.f64 (.f64 x (.f64 y y)) (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) (*.f64 x y)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) y)) (.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) y) (.f64 y x) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) (.f64 y y)) x 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 (.f64 (.f64 #s(approx (+ (* (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)) y) y) x x))
#s(approx (* x (exp (* y y))) (fma.f64 (.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)) x) (.f64 y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.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)) y) (.f64 x y) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (.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)) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 x y) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) y) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 x y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 y y) x)) 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 x y) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 y #s(literal 1/6 binary64)) y #s(literal 1/2 binary64)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 y y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) x) 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))

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
92.3%	1	`(*.f64 y y)`
92.3%	1	`(exp.f64 (*.f64 y y))`
92.3%	1	`(.f64 x (exp.f64 (.f64 y y)))`
92.3%	1	`x`
92.3%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes26.0ms (0.4%)

Memory

-23.8MiB live, 33.1MiB allocated; 22ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Calls

5 calls:

12.0ms	(.f64 x (exp.f64 (.f64 y y)))
4.0ms	x
4.0ms	y
3.0ms	(*.f64 y y)
3.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
89.4%	1	`(*.f64 y y)`
89.4%	1	`(exp.f64 (*.f64 y y))`
89.4%	1	`(.f64 x (exp.f64 (.f64 y y)))`
89.4%	1	`x`
89.4%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes15.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB 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))) (fma.f64 (*.f64 y x) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (+.f64 (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 #s(approx (+ (* (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) y) y)) (*.f64 y y)) x x))
#s(approx (* x (exp (* y y))) (fma.f64 y (.f64 y (fma.f64 (.f64 x y) (.f64 #s(approx (+ ( (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) y) x)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 x y) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) y) y) y y) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 y x) (fma.f64 (.f64 #s(approx (+ ( 1/6 (* y y)) 1/2) #s(literal 1/2 binary64)) 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) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x))

Outputs
#s(approx (* x (exp (* y y))) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/6 (* y y)) 1/2) (* y y)) 1) (.f64 (.f64 #s(approx (+ (* (* y y) 1/6) 1/2) #s(literal 1/2 binary64)) y) y)) (*.f64 y y)) x 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
88.9%	1	`(exp.f64 (*.f64 y y))`
88.9%	1	`(.f64 x (exp.f64 (.f64 y y)))`
88.9%	1	`(*.f64 y y)`
88.9%	1	`y`
88.9%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes9.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms 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))) (fma.f64 (*.f64 y x) y x))
(.f64 x #s(approx (exp ( y y)) (fma.f64 y y #s(literal 1 binary64))))
(.f64 x #s(approx (exp ( y y)) (+.f64 (*.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:

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
79.5%	1	`(exp.f64 (*.f64 y y))`
79.5%	1	`(.f64 x (exp.f64 (.f64 y y)))`
79.5%	1	`(*.f64 y y)`
79.5%	1	`x`
79.5%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes13.0ms (0.2%)

Memory

-28.4MiB live, 16.5MiB allocated; 6ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	y
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
73.7%	1	`x`
73.7%	1	`(*.f64 y y)`
73.7%	1	`(exp.f64 (*.f64 y y))`
73.7%	1	`(.f64 x (exp.f64 (.f64 y y)))`
73.7%	1	`y`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes5.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
52.7%	1	`(exp.f64 (*.f64 y y))`
52.7%	1	`(.f64 x (exp.f64 (.f64 y y)))`
52.7%	1	`y`
52.7%	1	`(*.f64 y y)`
52.7%	1	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify58.0ms (0.9%)

Memory

21.5MiB live, 109.3MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	170
1	73	170
2	155	170
3	496	170
4	1489	170
5	4426	170

Stop Event

1×	node limit

Calls

Call 1

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

derivations1.1s (16.5%)

Memory

-13.5MiB live, 862.4MiB allocated; 139ms 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
0	41	488
0	73	470
1	305	464
2	2247	464
0	8906	454
0	33	97
1	127	97
2	492	91
3	2193	89
4	4804	89
0	8100	77
0	130	657
1	498	633
2	1880	615
3	5918	615
0	8319	563
0	133	717
1	493	695
2	1838	667
3	5682	667
0	8137	619

Stop Event

1×	fuel
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 170 to 52 computations (69.4% saved)

preprocess145.0ms (2.2%)

Memory

-18.7MiB live, 211.6MiB allocated; 27ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 436 to 184 computations (57.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample990.0ms (15.2%)

explain126.0ms (1.9%)

preprocess272.0ms (4.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify264.0ms (4.1%)

localize16.0ms (0.3%)

series26.0ms (0.4%)

simplify281.0ms (4.3%)

rewrite119.0ms (1.8%)

eval11.0ms (0.2%)

prune2.0ms (0%)

simplify249.0ms (3.8%)

localize53.0ms (0.8%)

series38.0ms (0.6%)

simplify222.0ms (3.4%)

rewrite250.0ms (3.9%)

eval72.0ms (1.1%)

prune11.0ms (0.2%)

simplify169.0ms (2.6%)

localize133.0ms (2.1%)

series56.0ms (0.9%)

simplify167.0ms (2.6%)

rewrite213.0ms (3.3%)

eval162.0ms (2.5%)

prune28.0ms (0.4%)

simplify178.0ms (2.7%)

localize99.0ms (1.5%)

series45.0ms (0.7%)

simplify138.0ms (2.1%)

rewrite422.0ms (6.5%)

eval135.0ms (2.1%)

prune32.0ms (0.5%)

regimes49.0ms (0.7%)

regimes73.0ms (1.1%)

regimes46.0ms (0.7%)

regimes26.0ms (0.4%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes13.0ms (0.2%)

regimes5.0ms (0.1%)

simplify58.0ms (0.9%)

derivations1.1s (16.5%)

preprocess145.0ms (2.2%)

end0.0ms (0%)

Profiling