Metrics for Data.Random.Distribution.Normal:normalF from random-fu-0.2.6.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

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)

sample623.0ms (2.1%)

Memory

-2.3MiB live, 1 141.8MiB allocated

Samples

399.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-mult: 117.0ms (62.3% of total)

ival-exp: 61.0ms (32.5% of total)

ival-true: 6.0ms (3.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain67.0ms (0.2%)

Memory

-2.2MiB live, 124.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (62% of total)

ival-exp: 4.0ms (35.4% of total)

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

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

preprocess28.0ms (0.1%)

Memory

-5.2MiB live, 33.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	49	34
2	124	34
3	300	34
4	502	34
5	648	34
6	718	34
7	729	34
0	5	6
0	8	6
1	14	6
2	21	6
3	23	6
4	24	6
0	24	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-12288	(exp.f64 (.f64 (.f64 x y) y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	14	16
2	21	16
3	23	16
4	24	16
0	24	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.1%)

Memory

11.2MiB live, 49.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.022267342648988643	(exp.f64 (.f64 (.f64 x y) y))
accuracy	0.11328125	(.f64 (.f64 x y) y)

Samples

14.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (67.8% of total)

ival-exp: 2.0ms (27.1% of total)

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

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

series9.0ms (0%)

Memory

-24.9MiB live, 14.5MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())

Inputs

#s(alt #<batchref> (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())

#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())

#s(alt #<batchref> (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify159.0ms (0.5%)

Memory

-5.3MiB live, 78.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	392
1	120	392
2	328	388
3	803	384
4	1106	380
5	1234	380
6	1314	380
7	1337	380
8	1351	380
9	2752	380
10	3337	380
11	4128	380
12	5124	380
13	5145	380
14	5145	380
15	5378	380
16	5378	380
17	5378	380
18	5378	380
19	6827	380
20	6827	380
0	6827	368

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite42.0ms (0.1%)

Memory

2.5MiB live, 39.2MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	12
1	14	12
2	29	12
3	92	12
4	482	3
5	3914	3
0	9072	3

Stop Event

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

Counts

3 → 7

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval7.0ms (0%)

Memory: 17.2MiB live, 17.2MiB allocated
Compiler: Compiled 891 to 45 computations (94.9% saved)

prune8.0ms (0%)

Memory

-14.5MiB live, 23.9MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	6	80

Accuracy

100.0%

Counts

80 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	87.6%	(exp.f64 (*.f64 x y))
▶	68.2%	(exp.f64 y)
▶	60.7%	(exp.f64 x)
▶	65.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	49.6%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 64 to 57 computations (10.9% saved)

simplify4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 y)
cost-diff	0	(exp.f64 x)
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
cost-diff	0	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
cost-diff	-6144	(exp.f64 (*.f64 x y))
cost-diff	0	(*.f64 x y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	21	49
1	31	49
2	35	49
3	37	49
4	38	49
0	38	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (0.2%)

Memory

19.6MiB live, 62.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 y)
accuracy	0	(exp.f64 x)
accuracy	0	(*.f64 y x)
accuracy	0.07421875	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy	22.421394650080305	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
accuracy	32.262010187436445	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0	(exp.f64 (*.f64 x y))

Samples

59.0ms

256×

valid

Compiler

Compiled 92 to 28 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-exp: 7.0ms (46.4% of total)

ival-mult: 6.0ms (39.7% of total)

ival-add: 1.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.1%)

Memory

-29.5MiB live, 9.9MiB allocated

Counts

8 → 168

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 y) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (exp.f64 x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	y	@	-inf	((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
1.0ms	y	@	0	((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
1.0ms	x	@	-inf	((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
1.0ms	x	@	0	((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
1.0ms	y	@	inf	((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))

simplify182.0ms (0.6%)

Memory

21.3MiB live, 208.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	920
1	318	920
2	797	908
3	1922	900
4	3022	892
5	5032	892
0	8248	828

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite278.0ms (0.9%)

Memory

-4.8MiB live, 313.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
0	21	41
1	44	41
2	189	41
3	1534	41
0	8527	41

Stop Event

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

Counts

8 → 264

Calls

Call 1

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

Outputs
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eval50.0ms (0.2%)

Memory: -3.8MiB live, 78.1MiB allocated
Compiler: Compiled 10 460 to 882 computations (91.6% saved)

prune19.0ms (0.1%)

Memory

3.6MiB live, 42.0MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	422	10	432
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	422	16	438

Accuracy

100.0%

Counts

438 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	87.6%	(exp.f64 (*.f64 x y))
✓	68.2%	(exp.f64 y)
✓	60.7%	(exp.f64 x)
✓	65.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	20.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
✓	49.6%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶	64.7%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
	60.4%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
▶	50.9%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
	62.9%	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
	60.0%	#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
	45.8%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
▶	47.7%	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
▶	45.5%	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
▶	33.2%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 283 to 217 computations (23.3% saved)

simplify67.0ms (0.2%)

Memory

14.5MiB live, 51.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	166
0	47	166
1	82	166
2	169	166
3	411	166
4	896	166
5	1143	166
6	1513	166
7	2203	166
8	2846	166
9	2954	166
10	2954	166
11	2954	166
12	3259	166
13	3311	166
0	3311	166

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize112.0ms (0.4%)

Memory

-4.6MiB live, 118.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
accuracy	0.0546875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.16796875	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	15.98590361525721	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	18.812089375961982	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	0	(fma.f64 y x #s(literal 1 binary64))
accuracy	27.982956438313376	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	29.038033807272665	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	0.4905805514719167	(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)))
accuracy	1.887853693881715	(fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))
accuracy	3.6531419104173795	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x)
accuracy	17.94145972919389	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))

Samples

89.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 306 to 57 computations (81.4% saved)

Precisions

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

ival-mult: 49.0ms (68.1% of total)

ival-add: 10.0ms (13.9% of total)

const: 8.0ms (11.1% of total)

ival-exp: 4.0ms (5.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.1%)

Memory

-14.6MiB live, 22.1MiB allocated

Counts

15 → 252

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
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Outputs
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify366.0ms (1.2%)

Memory

-14.7MiB live, 160.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	1965
1	752	1900
2	2584	1851
3	7186	1849
0	8033	1660

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 248

Calls

Call 1

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

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

rewrite175.0ms (0.6%)

Memory

30.3MiB live, 272.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	137
0	47	137
1	190	137
2	1462	137
0	8187	137

Stop Event

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

Counts

15 → 409

Calls

Call 1

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

Outputs
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eval87.0ms (0.3%)

Memory: 12.8MiB live, 203.8MiB allocated
Compiler: Compiled 17 850 to 2 060 computations (88.5% saved)

prune52.0ms (0.2%)

Memory

-21.6MiB live, 114.8MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	651	6	657
Fresh	0	5	5
Picked	4	1	5
Done	0	6	6
Total	655	18	673

Accuracy

100.0%

Counts

673 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	87.6%	(exp.f64 (*.f64 x y))
✓	68.2%	(exp.f64 y)
✓	60.7%	(exp.f64 x)
✓	65.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	20.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
✓	49.6%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶	64.6%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
	60.4%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
	25.9%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y)))
	11.0%	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
▶	62.9%	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
▶	60.0%	#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
▶	45.8%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
✓	33.2%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
	25.0%	#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
	23.7%	#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))
▶	21.5%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Compiler

Compiled 459 to 339 computations (26.1% saved)

simplify50.0ms (0.2%)

Memory

-5.6MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
cost-diff	0	(+.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x)
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
cost-diff	6464	(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	218
0	57	218
1	93	204
2	167	204
3	403	204
4	896	204
5	1175	204
6	1258	204
7	1358	204
8	1512	204
9	1612	204
10	1778	204
11	1779	204
12	1779	204
0	1779	196

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize305.0ms (1%)

Memory

-13.1MiB live, 102.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.1796875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	9.804294841141951	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
accuracy	14.363023029081926	#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	18.812089375961982	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
accuracy	33.02009502995249	#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	30.389805763189557	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
accuracy	1.887853693881715	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))
accuracy	3.6531419104173795	(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x)
accuracy	5.988235838264528	(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
accuracy	17.94145972919389	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))

Samples

161.0ms

256×

valid

Compiler

Compiled 387 to 73 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 124.0ms (85.5% of total)

ival-add: 11.0ms (7.6% of total)

ival-exp: 5.0ms (3.4% of total)

const: 4.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.1%)

Memory

1.1MiB live, 36.3MiB allocated

Counts

17 → 252

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2))
2.0ms	y	@	inf	((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2))
1.0ms	y	@	0	((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2))
1.0ms	x	@	-inf	((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2))
1.0ms	x	@	inf	((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2))

simplify333.0ms (1.1%)

Memory

22.3MiB live, 217.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	1939
1	783	1882
2	2675	1811
3	7455	1811
0	8172	1633

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 248

Calls

Call 1

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

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

rewrite161.0ms (0.5%)

Memory

25.8MiB live, 215.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	181
0	57	181
1	215	169
2	1612	169
0	8308	161

Stop Event

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

Counts

17 → 386

Calls

Call 1

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

Outputs
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eval185.0ms (0.6%)

Memory: -26.5MiB live, 145.5MiB allocated
Compiler: Compiled 19 051 to 1 989 computations (89.6% saved)

prune34.0ms (0.1%)

Memory

-4.0MiB live, 76.0MiB allocated

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	647	5	652
Fresh	1	5	6
Picked	2	3	5
Done	0	7	7
Total	650	20	670

Accuracy

100.0%

Counts

670 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	87.6%	(exp.f64 (*.f64 x y))
✓	68.2%	(exp.f64 y)
✓	60.7%	(exp.f64 x)
✓	65.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	20.8%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
✓	49.6%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
✓	64.6%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
	60.4%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
	27.5%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x) x) y)))
	11.0%	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
	62.9%	#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
	62.9%	#s(approx (exp y) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 y #s(literal 1/6 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
✓	45.8%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
	21.2%	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
	18.3%	#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))))
✓	33.2%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
	25.0%	#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
	23.7%	#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))
✓	21.5%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Compiler

Compiled 750 to 399 computations (46.8% saved)

regimes45.0ms (0.2%)

Memory

10.0MiB live, 47.6MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	y
8.0ms	x
8.0ms	(.f64 (.f64 x y) y)
7.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes40.0ms (0.1%)

Memory

10.3MiB live, 48.9MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	(exp.f64 (.f64 (.f64 x y) y))
8.0ms	y
8.0ms	x
7.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
87.6%	1	`x`
92.7%	2	`y`
94.0%	3	`(exp.f64 (.f64 (.f64 x y) y))`
94.0%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes36.0ms (0.1%)

Memory

-5.5MiB live, 38.8MiB allocated

Counts

24 → 4

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x) x) y)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 y #s(literal 1/6 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(exp.f64 x)
(exp.f64 y)

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

Calls

4 calls:

14.0ms	y
8.0ms	x
7.0ms	(.f64 (.f64 x y) y)
6.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
74.9%	3	`x`
82.4%	3	`(exp.f64 (.f64 (.f64 x y) y))`
86.2%	4	`(.f64 (.f64 x y) y)`
78.3%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes25.0ms (0.1%)

Memory

-5.3MiB live, 30.7MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64))))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x) x) y)))
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y x) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 y #s(literal 1/6 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
78.6%	3	`(exp.f64 (.f64 (.f64 x y) y))`
78.6%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes18.0ms (0.1%)

Memory

-1.1MiB live, 35.9MiB allocated

Counts

16 → 4

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(exp.f64 (.f64 (.f64 x y) y))
5.0ms	y
5.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
73.3%	3	`y`
73.5%	3	`(exp.f64 (.f64 (.f64 x y) y))`
77.9%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes5.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

13 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

(*.f64 (*.f64 x y) y)

Results

Accuracy	Segments	Branch
77.8%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0%)

Memory

-18.4MiB live, 18.4MiB allocated

Counts

11 → 4

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
4.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
66.6%	2	`x`
76.1%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

9 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(*.f64 (*.f64 x y) y)

Results

Accuracy	Segments	Branch
76.1%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory

9.7MiB live, 9.6MiB allocated

Counts

8 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(*.f64 (*.f64 x y) y)

Results

Accuracy	Segments	Branch
75.9%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0%)

Memory

-17.1MiB live, 30.4MiB allocated

Counts

7 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.5%	3	`y`
69.8%	3	`(exp.f64 (.f64 (.f64 x y) y))`
73.3%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes8.0ms (0%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.7%	2	`x`
67.5%	3	`(exp.f64 (.f64 (.f64 x y) y))`
67.5%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes115.0ms (0.4%)

Memory

-19.1MiB live, 19.9MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

107.0ms	(.f64 (.f64 x y) y)
2.0ms	y
2.0ms	x
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
54.0%	2	`x`
57.1%	2	`y`
57.3%	2	`(.f64 (.f64 x y) y)`
57.3%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0%)

Memory

7.0MiB live, 7.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
57.3%	2	`(exp.f64 (.f64 (.f64 x y) y))`
57.3%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes7.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated

Accuracy

Total -13.7b remaining (-42.3%)

Threshold costs -13.7b (-42.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
49.6%	1	`x`
49.6%	1	`y`
49.6%	1	`(exp.f64 (.f64 (.f64 x y) y))`
49.6%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch68.0ms (0.2%)

Memory

-14.4MiB live, 23.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
67.0ms	6.427091187958981e-113	5.1315479275858575e-108

Samples

62.0ms

144×

valid

Compiler

Compiled 162 to 145 computations (10.5% saved)

Precisions

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

ival-mult: 2.0ms (62.4% of total)

ival-exp: 1.0ms (31.2% of total)

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

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

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.34895154292685837	499.9388375042012
0.0ms	-867520.3929740092	-1.9908714860323375e-18
0.0ms	-1.3008626466936848e+289	-1.902272314520146e+277

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.34895154292685837	499.9388375042012
0.0ms	-867520.3929740092	-1.9908714860323375e-18

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.996475199032205e+246	1.1282468998986967e+254
0.0ms	0.34895154292685837	499.9388375042012
0.0ms	-867520.3929740092	-1.9908714860323375e-18

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.996475199032205e+246	1.1282468998986967e+254
0.0ms	0.34895154292685837	499.9388375042012
0.0ms	-867520.3929740092	-1.9908714860323375e-18

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.996475199032205e+246	1.1282468998986967e+254
0.0ms	0.34895154292685837	499.9388375042012
0.0ms	-867520.3929740092	-1.9908714860323375e-18

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.996475199032205e+246	1.1282468998986967e+254
0.0ms	0.34895154292685837	499.9388375042012
0.0ms	-867520.3929740092	-1.9908714860323375e-18

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.996475199032205e+246	1.1282468998986967e+254
0.0ms	0.34895154292685837	499.9388375042012
0.0ms	-867520.3929740092	-1.9908714860323375e-18

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.996475199032205e+246	1.1282468998986967e+254
0.0ms	0.34895154292685837	499.9388375042012
0.0ms	-867520.3929740092	-1.9908714860323375e-18

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.417580496875836	1.320317614226969e+217
0.0ms	0.0	1.0

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.34895154292685837	499.9388375042012

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.34895154292685837	499.9388375042012

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify36.0ms (0.1%)

Memory

-32.9MiB live, 52.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	882
1	134	882

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 y #s(literal 6092291808370931/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (exp.f64 (.f64 x y)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x) x) y))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x) x) y)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
(exp.f64 (.f64 (.f64 y x) y))
(if (<=.f64 y #s(literal 6092291808370931/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (exp.f64 (.f64 y x)))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64)) y) x) x) y))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (.f64 (.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64)) y) x) x) y)))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (.f64 (.f64 y y) #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 0 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness25.2s (85.8%)

Memory

15.2MiB live, 944.1MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	12
1	14	12
2	29	12
3	92	12
4	482	3
5	3914	3
0	9072	3
0	223	1965
1	752	1900
2	2584	1851
3	7186	1849
0	8033	1660
0	44	392
1	120	392
2	328	388
3	803	384
4	1106	380
5	1234	380
6	1314	380
7	1337	380
8	1351	380
9	2752	380
10	3337	380
11	4128	380
12	5124	380
13	5145	380
14	5145	380
15	5378	380
16	5378	380
17	5378	380
18	5378	380
19	6827	380
20	6827	380
0	6827	368
0	106	920
1	318	920
2	797	908
3	1922	900
4	3022	892
5	5032	892
0	8248	828
0	26	137
0	47	137
1	190	137
2	1462	137
0	8187	137
0	231	1939
1	783	1882
2	2675	1811
3	7455	1811
0	8172	1633

Stop Event

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

Compiler

Compiled 1 107 to 355 computations (67.9% saved)

preprocess149.0ms (0.5%)

Memory: -12.7MiB live, 219.6MiB allocated
Remove: (abs y)
Compiler: Compiled 1 800 to 272 computations (84.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	38
1	49	34
2	124	34
3	300	34
4	502	34
5	648	34
6	718	34
7	729	34
0	5	6
0	8	6
1	14	6
2	21	6
3	23	6
4	24	6
0	24	6

Iter	Nodes	Cost
0	15	38
1	49	34
2	124	34
3	300	34
4	502	34
5	648	34
6	718	34
7	729	34
0	5	6
0	8	6
1	14	6
2	21	6
3	23	6
4	24	6
0	24	6

start0.0ms (0%)

analyze0.0ms (0%)

sample623.0ms (2.1%)

explain67.0ms (0.2%)

preprocess28.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize19.0ms (0.1%)

series9.0ms (0%)

simplify159.0ms (0.5%)

rewrite42.0ms (0.1%)

eval7.0ms (0%)

prune8.0ms (0%)

simplify4.0ms (0%)

localize67.0ms (0.2%)

series27.0ms (0.1%)

simplify182.0ms (0.6%)

rewrite278.0ms (0.9%)

eval50.0ms (0.2%)

prune19.0ms (0.1%)

simplify67.0ms (0.2%)

localize112.0ms (0.4%)

series38.0ms (0.1%)

simplify366.0ms (1.2%)

rewrite175.0ms (0.6%)

eval87.0ms (0.3%)

prune52.0ms (0.2%)

simplify50.0ms (0.2%)

localize305.0ms (1%)

series25.0ms (0.1%)

simplify333.0ms (1.1%)

rewrite161.0ms (0.5%)

eval185.0ms (0.6%)

prune34.0ms (0.1%)

regimes45.0ms (0.2%)

regimes40.0ms (0.1%)

regimes36.0ms (0.1%)

regimes25.0ms (0.1%)

regimes18.0ms (0.1%)

regimes5.0ms (0%)

regimes11.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes12.0ms (0%)

regimes8.0ms (0%)

regimes115.0ms (0.4%)

regimes4.0ms (0%)

regimes7.0ms (0%)

bsearch68.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify36.0ms (0.1%)

soundness25.2s (85.8%)

preprocess149.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	38
1	49	34
2	124	34
3	300	34
4	502	34
5	648	34
6	718	34
7	729	34
0	5	6
0	8	6
1	14	6
2	21	6
3	23	6
4	24	6
0	24	6