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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample726.0ms (2.4%)

Memory

30.9MiB live, 1 140.6MiB allocated

Samples

492.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-mult: 164.0ms (67.4% of total)

ival-exp: 70.0ms (28.8% of total)

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

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

Bogosity

explain62.0ms (0.2%)

Memory

6.1MiB live, 116.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(5.007683907769281e-128 4.101475567772762e+64)	`(exp.f64 (.f64 (.f64 x y) y))`
0	-	0	-	`y`
0	-	0	-	`(.f64 (.f64 x y) y)`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	1
-	0	255

Precision

0/0

Recall

0.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

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

ival-mult: 7.0ms (61% of total)

ival-exp: 4.0ms (34.8% of total)

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

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

preprocess26.0ms (0.1%)

Memory

-19.3MiB live, 27.8MiB 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
(exp.f64 (.f64 (.f64 x y) y))
(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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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

3.2MiB live, 3.2MiB 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
(exp.f64 (.f64 (.f64 x y) y))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(.f64 (.f64 x y) y)
(.f64 (.f64 y x) y)
(*.f64 x y)
(*.f64 y x)
x
y

localize19.0ms (0.1%)

Memory

3.8MiB live, 41.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.018140063241307517	(exp.f64 (.f64 (.f64 x y) y))
accuracy	0.125	(.f64 (.f64 x y) y)

Samples

15.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (53.7% of total)

ival-exp: 2.0ms (35.8% of total)

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

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

series7.0ms (0%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

Outputs
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) (taylor 0 x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) (taylor 0 x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (.f64 (.f64 x y) y)) (patch (exp.f64 (.f64 (.f64 x y) y)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify143.0ms (0.5%)

Memory

0.5MiB live, 74.3MiB 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
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(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))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(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))
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(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))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(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))
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) x) y)

rewrite50.0ms (0.2%)

Memory

-23.0MiB live, 58.3MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	16
1	14	16
2	29	16
3	92	16
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: 18.4MiB live, 18.4MiB allocated
Compiler: Compiled 555 to 42 computations (92.4% saved)

prune10.0ms (0%)

Memory

-7.8MiB live, 28.5MiB 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))
▶	84.8%	(exp.f64 (*.f64 x y))
▶	63.0%	(exp.f64 y)
▶	62.8%	(exp.f64 x)
▶	58.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	49.3%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 40 to 45 computations (-12.5% saved)

simplify4.0ms (0%)

Memory

6.4MiB live, 6.4MiB 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
(exp.f64 (*.f64 x y))
(pow.f64 (exp.f64 y) x)
(*.f64 x y)
(*.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

localize48.0ms (0.2%)

Memory

-38.1MiB live, 77.2MiB 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	0.06640625	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy	26.51899603737085	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
accuracy	32.46427479250347	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.017670163890847707	(exp.f64 (*.f64 x y))

Samples

40.0ms

256×

valid

Compiler

Compiled 43 to 14 computations (67.4% saved)

Precisions

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

ival-exp: 20.0ms (65.1% of total)

ival-mult: 9.0ms (29.3% of total)

ival-add: 1.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

8 → 168

Calls

Call 1

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

Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* 1/2 y)))) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor inf y) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor inf y) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor inf y) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor inf y) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf y) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf y) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf y) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf y) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor -inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor -inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor -inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor -inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 x) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ y (* 1/2 (* x (pow y 2)))))) (taylor 0 x) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2))))))) (taylor 0 x) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 x) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) (taylor 0 x) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) (taylor 0 x) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 x) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) (taylor 0 x) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) (taylor 0 x) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor inf x) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor inf x) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor inf x) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor inf x) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 x) (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 x) (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 x) (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt (exp.f64 (.f64 x y)) (patch (exp.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
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	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	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	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))

simplify194.0ms (0.6%)

Memory

12.3MiB live, 166.5MiB 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
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))
(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))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(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))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(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))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(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))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))
(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))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 1/2 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 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))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(exp y)
(exp.f64 y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
(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))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(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))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(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))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(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))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(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))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(+ 1 (* x (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 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))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x y))
(pow.f64 (exp.f64 x) y)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(exp (* x (pow y 2)))
(pow.f64 (pow.f64 (exp.f64 y) y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

rewrite263.0ms (0.9%)

Memory

8.9MiB live, 198.1MiB 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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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval153.0ms (0.5%)

Memory: -8.3MiB live, 65.6MiB allocated
Compiler: Compiled 8 108 to 872 computations (89.2% saved)

prune113.0ms (0.4%)

Memory

-2.1MiB live, 48.2MiB 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))
✓	84.8%	(exp.f64 (*.f64 x y))
✓	63.0%	(exp.f64 y)
✓	62.8%	(exp.f64 x)
✓	58.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	16.5%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
✓	49.3%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	54.4%	#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)))
	52.2%	#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)))
▶	48.3%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
▶	56.6%	#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)))
	55.1%	#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
	44.3%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
▶	41.4%	#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)))
▶	40.0%	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
▶	32.2%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 197 to 173 computations (12.2% saved)

simplify47.0ms (0.2%)

Memory

-16.5MiB live, 22.2MiB 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	(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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	127
0	43	127
1	65	127
2	102	127
3	232	127
4	469	127
5	609	127
6	646	127
0	646	127

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize151.0ms (0.5%)

Memory

20.4MiB live, 182.9MiB 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	0.0703125	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.1796875	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	21.06130162444613	#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	23.220593315846333	#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	28.357407811295243	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	31.180319723870475	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	0.0546875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.05859375	(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	0.171875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.429872373609385	#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)))

Samples

136.0ms

256×

valid

Compiler

Compiled 106 to 30 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 23.0ms (52.1% of total)

ival-add: 11.0ms (24.9% of total)

ival-exp: 6.0ms (13.6% of total)

const: 4.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.1%)

Memory

-10.9MiB live, 25.7MiB allocated

Counts

15 → 204

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 y) (#s(alt #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))) (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 (+ 1 y) (taylor 0 y) (#s(alt #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))) (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 (+ 1 (* y (+ 1 (* 1/2 y)))) (taylor 0 y) (#s(alt #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))) (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 (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) (taylor 0 y) (#s(alt #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))) (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 1 (taylor 0 y) (#s(alt (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)) (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 (+ 1 y) (taylor 0 y) (#s(alt (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)) (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 (+ 1 (* y (+ 1 (* 1/2 y)))) (taylor 0 y) (#s(alt (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)) (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 (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) (taylor 0 y) (#s(alt (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)) (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 1 (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (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 (+ 1 (* 1/2 y)) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (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 (+ 1 (* y (+ 1/2 (* 1/6 y)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (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 (+ 1 (* y (+ 1/2 (* 1/6 y)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (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 1/2 (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 y)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (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>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (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>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (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>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (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>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #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))) (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>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #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))) (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>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #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))) (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>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #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))) (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>) () ())) ())
#s(alt (* 1/6 (pow x 3)) (taylor -inf x) (#s(alt (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)) (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 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (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)) (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 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) (taylor -inf x) (#s(alt (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)) (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 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6))) (taylor -inf x) (#s(alt (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)) (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 (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (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 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (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 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (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 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (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 (* 1/6 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify183.0ms (0.6%)

Memory

21.1MiB live, 336.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	1092
1	466	1079
2	1303	1062
3	4616	1060
0	8711	910

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

Calls

Call 1

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

rewrite138.0ms (0.5%)

Memory

-13.1MiB live, 178.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	111
0	43	111
1	172	111
2	1335	111
0	8172	111

Stop Event

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

Counts

15 → 417

Calls

Call 1

Inputs
#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(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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eval127.0ms (0.4%)

Memory: -1.3MiB live, 159.6MiB allocated
Compiler: Compiled 11 904 to 1 955 computations (83.6% saved)

prune28.0ms (0.1%)

Memory

12.3MiB live, 59.7MiB allocated

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	609	10	619
Fresh	2	3	5
Picked	4	1	5
Done	0	6	6
Total	615	20	635

Accuracy

100.0%

Counts

635 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	84.8%	(exp.f64 (*.f64 x y))
✓	63.0%	(exp.f64 y)
✓	62.8%	(exp.f64 x)
✓	58.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	16.5%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
✓	49.3%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶	60.8%	#s(approx (exp (* x y)) (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)))
▶	54.4%	#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)))
	52.2%	#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)))
	8.8%	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 x y)))
	55.1%	#s(approx (exp y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
	56.6%	#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64)))
▶	44.3%	#s(approx (exp y) (+.f64 y #s(literal 1 binary64)))
▶	16.3%	#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)))
	41.4%	#s(approx (exp x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
✓	32.2%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
	18.5%	#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))))
	17.3%	#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)))
	15.8%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))

Compiler

Compiled 293 to 256 computations (12.6% saved)

simplify50.0ms (0.2%)

Memory

5.0MiB live, 43.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	274
0	66	274
1	130	274
2	282	274
3	751	274
4	1359	274
5	1575	274
6	1624	274
7	1630	274
8	1630	274
9	1630	274
10	1665	274
11	1668	274
0	1668	268

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

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

localize98.0ms (0.3%)

Memory

6.8MiB live, 163.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.3515625	(*.f64 #s(literal 1/6 binary64) x)
accuracy	1.6809916625443382	(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	4.330458481716547	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x)
accuracy	23.18627098662046	#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)))
accuracy	0.0625	(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
accuracy	0.171875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.429872373609385	#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)))
accuracy	29.97031872995321	#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))
accuracy	0	(*.f64 y y)
accuracy	7.883610017118883	(.f64 (.f64 y y) x)
accuracy	26.51899603737085	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
accuracy	30.25665116086769	#s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	31.026448978859115	#s(approx (exp y) (+.f64 y #s(literal 1 binary64)))
accuracy	0.5400072398253162	(.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64)))
accuracy	1.8824487422364995	(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))
accuracy	4.9925579430033125	(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y)
accuracy	23.18627098662046	#s(approx (exp (* x y)) (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)))

Samples

75.0ms

256×

valid

Compiler

Compiled 205 to 41 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 32.0ms (59.5% of total)

ival-add: 12.0ms (22.3% of total)

ival-exp: 6.0ms (11.2% of total)

const: 4.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.1%)

Memory

-24.4MiB live, 49.7MiB allocated

Counts

20 → 372

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* x y)) (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))) (patch #s(approx (exp ( x y)) (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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt #s(approx (exp (* x y)) (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))) (patch #s(approx (exp ( x y)) (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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) (taylor 0 y) (#s(alt #s(approx (exp (* x y)) (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))) (patch #s(approx (exp ( x y)) (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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* x y)) (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))) (patch #s(approx (exp ( x y)) (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))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) (patch (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* 1/2 (* x y)))) (taylor 0 y) (#s(alt (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) (patch (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (+ (* 1/6 (* (pow x 2) y)) (* 1/2 x))))) (taylor 0 y) (#s(alt (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) (patch (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (+ (* 1/6 (* (pow x 2) y)) (* 1/2 x))))) (taylor 0 y) (#s(alt (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) (patch (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) (patch (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/2 (* 1/6 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) (patch (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/2 (* 1/6 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) (patch (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/2 (* 1/6 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) (patch (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp y) (+.f64 y #s(literal 1 binary64))) (patch #s(approx (exp y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt #s(approx (exp y) (+.f64 y #s(literal 1 binary64))) (patch #s(approx (exp y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* 1/2 y)))) (taylor 0 y) (#s(alt #s(approx (exp y) (+.f64 y #s(literal 1 binary64))) (patch #s(approx (exp y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) (taylor 0 y) (#s(alt #s(approx (exp y) (+.f64 y #s(literal 1 binary64))) (patch #s(approx (exp y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) (patch #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) (patch #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) (patch #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) (patch #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) (patch #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) (patch #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) (patch #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) (patch #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ y x)) x)) (* -1/6 (pow y 3))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 3))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (pow x 2) (pow y 3))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) (patch (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) (patch (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (pow y 2))) x)) (* 1/6 (pow y 3)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) (patch (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (pow y 2))) x)) (* 1/6 (pow y 3)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) (patch (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* x (pow y 3))) (taylor -inf x) (#s(alt (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) (patch (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3))))) (taylor -inf x) (#s(alt (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) (patch (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3))))) (taylor -inf x) (#s(alt (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) (patch (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3))))) (taylor -inf x) (#s(alt (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) (patch (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) (patch #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) (patch #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) (patch #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) (patch #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) (patch #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) (patch #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) (patch #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) (patch #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #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))) (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 (exp (* x y)) (taylor -inf x) (#s(alt #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))) (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 (exp (* x y)) (taylor -inf x) (#s(alt #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))) (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 (exp (* x y)) (taylor -inf x) (#s(alt #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))) (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 (* 1/6 (* (pow x 3) (pow y 3))) (taylor -inf x) (#s(alt (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)) (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 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3))))) (taylor -inf x) (#s(alt (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)) (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 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ y x)) x)) (* -1/6 (pow y 3))))) (taylor -inf x) (#s(alt (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)) (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 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 3))))) (taylor -inf x) (#s(alt (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)) (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 (* 1/6 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) (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 (* -1 (* (pow x 3) (+ (* -1/2 (/ y x)) (* -1/6 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) (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 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) (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 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) (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 (* 1/6 (* (pow x 3) y)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) x) 1) (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) (* (* y y) (+ (* (* 1/6 y) x) 1/2)) (exp y) (+ y 1) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (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)) (+ (* 1/6 y) 1/2) (* 1/6 x))
4.0ms	x	@	inf	((exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) x) 1) (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) (* (* y y) (+ (* (* 1/6 y) x) 1/2)) (exp y) (+ y 1) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (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)) (+ (* 1/6 y) 1/2) (* 1/6 x))
3.0ms	y	@	-inf	((exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) x) 1) (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) (* (* y y) (+ (* (* 1/6 y) x) 1/2)) (exp y) (+ y 1) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (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)) (+ (* 1/6 y) 1/2) (* 1/6 x))
3.0ms	y	@	inf	((exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) x) 1) (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) (* (* y y) (+ (* (* 1/6 y) x) 1/2)) (exp y) (+ y 1) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (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)) (+ (* 1/6 y) 1/2) (* 1/6 x))
2.0ms	x	@	-inf	((exp (* x y)) (+ (* (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) x) 1) (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) (* (* y y) (+ (* (* 1/6 y) x) 1/2)) (exp y) (+ y 1) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* (* y y) x) (* y y) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (* (+ (* 1/6 y) 1/2) y) y) (* (+ (* 1/6 y) 1/2) y) (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)) (+ (* 1/6 y) 1/2) (* 1/6 x))

simplify299.0ms (1%)

Memory

15.1MiB live, 167.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	295	3310
1	1013	3225
2	3441	3126
0	8067	2877

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 366

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

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

rewrite325.0ms (1.1%)

Memory

14.8MiB live, 183.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	236
0	66	236
1	253	236
2	1691	236
0	8403	230

Stop Event

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

Counts

20 → 337

Calls

Call 1

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

Outputs
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eval288.0ms (0.9%)

Memory: -20.4MiB live, 180.7MiB allocated
Compiler: Compiled 15 632 to 2 029 computations (87% saved)

prune63.0ms (0.2%)

Memory

6.6MiB live, 80.7MiB allocated

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	713	10	723
Fresh	2	6	8
Picked	4	1	5
Done	0	7	7
Total	719	24	743

Accuracy

100.0%

Counts

743 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	84.8%	(exp.f64 (*.f64 x y))
✓	63.0%	(exp.f64 y)
✓	62.8%	(exp.f64 x)
✓	58.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	12.5%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y x) y)))
✓	49.3%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	52.6%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x)) y (.f64 (*.f64 x x) #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
	54.2%	#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 x x) #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)))
	57.8%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 y (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)) y) x) y) x #s(literal 1 binary64)))
	53.5%	#s(approx (exp (* x y)) (fma.f64 #s(approx (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)) x #s(literal 1 binary64)))
	54.6%	#s(approx (exp (* x y)) (fma.f64 #s(approx (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) (.f64 (.f64 y (fma.f64 #s(literal 1/6 binary64) (.f64 y x) #s(literal 1/2 binary64))) (.f64 x x))) y #s(literal 1 binary64)))
	19.0%	#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y x) #s(literal 1/2 binary64)) x) x) (*.f64 y y))))
	8.8%	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 x y)))
	56.6%	#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64)))
✓	44.3%	#s(approx (exp y) (+.f64 y #s(literal 1 binary64)))
	18.1%	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))
	16.9%	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y)))
	14.9%	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y) y)))
	41.4%	#s(approx (exp x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
✓	32.2%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
	18.5%	#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))))
	17.3%	#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)))
	15.8%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))

Compiler

Compiled 589 to 341 computations (42.1% saved)

regimes48.0ms (0.2%)

Memory

-7.5MiB live, 77.6MiB allocated

Counts

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

15.0ms	x
11.0ms	(exp.f64 (.f64 (.f64 x y) y))
10.0ms	y
9.0ms	(.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)

regimes80.0ms (0.3%)

Memory

-2.0MiB live, 70.8MiB allocated

Counts

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

Calls

4 calls:

36.0ms	(exp.f64 (.f64 (.f64 x y) y))
23.0ms	x
10.0ms	y
9.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
87.4%	2	`x`
89.7%	2	`y`
91.9%	3	`(exp.f64 (.f64 (.f64 x y) y))`
91.9%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes52.0ms (0.2%)

Memory

-18.2MiB live, 84.6MiB allocated

Counts

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

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

Calls

4 calls:

22.0ms	x
11.0ms	(.f64 (.f64 x y) y)
10.0ms	y
7.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
79.2%	3	`x`
77.8%	2	`y`
85.5%	3	`(.f64 (.f64 x y) y)`
85.5%	3	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes18.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
84.1%	3	`(exp.f64 (.f64 (.f64 x y) y))`
85.9%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes52.0ms (0.2%)

Memory

-25.0MiB live, 53.0MiB allocated

Counts

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

Outputs

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

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

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

Calls

4 calls:

18.0ms	(.f64 (.f64 x y) y)
17.0ms	x
9.0ms	y
7.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
63.7%	2	`x`
66.4%	2	`y`
71.9%	3	`(exp.f64 (.f64 (.f64 x y) y))`
71.9%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes15.0ms (0%)

Memory

21.3MiB live, 21.3MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
68.9%	3	`(exp.f64 (.f64 (.f64 x y) y))`
68.9%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes29.0ms (0.1%)

Memory

-22.2MiB live, 16.3MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

21.0ms	(exp.f64 (.f64 (.f64 x y) y))
6.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
68.4%	3	`(exp.f64 (.f64 (.f64 x y) y))`
68.4%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes19.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB 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 y) (+.f64 y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 x y)))
#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 #s(literal 1/2 binary64)) x)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y x) y)))
#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 y) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) y) y)))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #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 y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))) 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 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 #s(approx (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)) x #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 #s(literal 1/2 binary64)) x)))

#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #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	y
6.0ms	(.f64 (.f64 x y) y)
5.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
65.0%	3	`y`
67.0%	3	`(exp.f64 (.f64 (.f64 x y) y))`
67.0%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes7.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
66.7%	3	`(exp.f64 (.f64 (.f64 x y) y))`
66.7%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes10.0ms (0%)

Memory

7.1MiB live, 7.1MiB 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 y) (+.f64 y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 x y)))
#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 #s(literal 1/2 binary64)) x)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y) y)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y x) y)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.9%	2	`x`
64.8%	3	`(exp.f64 (.f64 (.f64 x y) y))`
66.7%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes33.0ms (0.1%)

Memory

-34.5MiB live, 9.3MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

29.0ms	(.f64 (.f64 x y) y)
3.0ms	y

Results

Accuracy	Segments	Branch
62.5%	3	`y`
64.9%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes9.0ms (0%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

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

Outputs

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

#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 #s(literal 1/2 binary64)) x)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
57.4%	2	`y`
61.3%	3	`(exp.f64 (.f64 (.f64 x y) y))`
61.3%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes13.0ms (0%)

Memory

-12.8MiB live, 23.2MiB allocated

Counts

6 → 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 y) (+.f64 y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 x y)))
#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:

5.0ms	y
3.0ms	x
2.0ms	(.f64 (.f64 x y) y)
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
52.4%	2	`x`
54.6%	2	`y`
54.9%	2	`(exp.f64 (.f64 (.f64 x y) y))`
54.9%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0%)

Memory

11.5MiB live, 11.5MiB 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 y) (+.f64 y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 x y)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
54.8%	2	`(.f64 (.f64 x y) y)`
54.8%	2	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes8.0ms (0%)

Memory

16.5MiB live, 16.5MiB allocated

Accuracy

Total -14.6b remaining (-45%)

Threshold costs -14.6b (-45%)

Counts

4 → 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 y) (+.f64 y #s(literal 1 binary64)))

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

Results

Accuracy	Segments	Branch
49.3%	1	`x`
49.3%	1	`y`
49.3%	1	`(exp.f64 (.f64 (.f64 x y) y))`
49.3%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.8447373701379186e+36	+inf
0.0ms	0.0	0.9999110417699988

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.8447373701379186e+36	+inf
0.0ms	0.0	0.9999110417699988

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch7.0ms (0%)

Memory

-35.5MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.502485312724707e+76	7.365673750013798e+83
0.0ms	2.764333936354285e+21	1.1253126017261925e+25
0.0ms	-2000807774168699.0	-8.896218701923168e-5

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.764333936354285e+21	1.1253126017261925e+25
0.0ms	-4.333266663317882e+20	-388061005717280960.0

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.764333936354285e+21	1.1253126017261925e+25
0.0ms	-4.333266663317882e+20	-388061005717280960.0

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.764333936354285e+21	1.1253126017261925e+25
0.0ms	-4.333266663317882e+20	-388061005717280960.0

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.764333936354285e+21	1.1253126017261925e+25
0.0ms	-4.333266663317882e+20	-388061005717280960.0

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.14323696272423153	84.23976864415499
0.0ms	-4.333266663317882e+20	-388061005717280960.0

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.2467115837595913e+305	+inf
0.0ms	84.23976864415499	2.764333936354285e+21
0.0ms	-4.333266663317882e+20	-388061005717280960.0

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	84.23976864415499	2.764333936354285e+21
0.0ms	-4.333266663317882e+20	-388061005717280960.0

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.764333936354285e+21	1.1253126017261925e+25
0.0ms	-4.333266663317882e+20	-388061005717280960.0

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.154003225017132	3.8447373701379186e+36

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.764333936354285e+21	1.1253126017261925e+25

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify32.0ms (0.1%)

Memory

37.1MiB live, 71.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	783
1	146	783

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) (exp.f64 (.f64 x y)) (if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 4999999999999999769381329101060571136 binary64)) #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (exp.f64 y)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) (exp.f64 x) (if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 4999999999999999769381329101060571136 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (exp.f64 y)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -2000000000000000 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000000000 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 20000000000000000941202689918109391783119202815733261528557419069796499062784 binary64)) (exp.f64 x) #s(approx (exp ( x y)) (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))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) (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)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) (fma.f64 (fma.f64 y (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)) y) x) y) x #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y x) #s(literal 1/2 binary64)) x) x) (*.f64 y y))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #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 -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (exp (* (* x y) y)) #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 -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 100 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y) y))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y x) y))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 100 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000000000 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 #s(literal 1/2 binary64)) x)))))
(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 y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 x y))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(exp.f64 (.f64 (.f64 y x) y))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) (exp.f64 (.f64 x y)) (if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 4999999999999999769381329101060571136 binary64)) #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (exp.f64 y)))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 0 binary64)) (exp.f64 (.f64 y x)) (if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 4999999999999999769381329101060571136 binary64)) #s(approx (exp ( (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (exp.f64 y)))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) (exp.f64 x) (if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 4999999999999999769381329101060571136 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (exp.f64 y)))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 0 binary64)) (exp.f64 x) (if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 4999999999999999769381329101060571136 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (exp.f64 y)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -2000000000000000 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000000000 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 20000000000000000941202689918109391783119202815733261528557419069796499062784 binary64)) (exp.f64 x) #s(approx (exp ( x y)) (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))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -2000000000000000 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 5000000000000000000000 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 20000000000000000941202689918109391783119202815733261528557419069796499062784 binary64)) (exp.f64 x) #s(approx (exp ( x y)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64)) (*.f64 y y)) x y) x #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) (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)))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 5000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64)) (*.f64 y y)) x y) x #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) (fma.f64 (fma.f64 y (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)) y) x) y) x #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 5000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) (fma.f64 (fma.f64 y (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)) y) x) y) x #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y x) #s(literal 1/2 binary64)) x) x) (*.f64 y y))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 5000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( x y)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) x) 1) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y x) #s(literal 1/2 binary64)) x) x) (*.f64 y y))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #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 -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 5000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #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 -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (exp (* (* x y) y)) #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 -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (exp (* (* x y) y)) #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 -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 100 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y) y))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y x) y))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 100 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y) y))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y x) y))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 100 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 100 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y) y)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000000000 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 #s(literal 1/2 binary64)) x)))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -400000000000000000000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 5000000000000000000000 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 #s(literal 1/2 binary64) x) x)))))
(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 y)) (fma.f64 y x #s(literal 1 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 y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000000000000000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 x y))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal 5000000000000000000000 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))

soundness26.1s (85.4%)

Memory

-22.5MiB live, 1 024.2MiB allocated

Iterations

Useful iterations: 4 (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
0	295	3310
1	1013	3225
2	3441	3126
0	8067	2877
0	144	1092
1	466	1079
2	1303	1062
3	4616	1060
0	8711	910
0	5	14
0	8	16
1	14	16
2	29	16
3	92	16
4	482	3
5	3914	3
0	9072	3
0	43	236
0	66	236
1	253	236
2	1691	236
0	8403	230
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×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 678 to 318 computations (53.1% saved)

preprocess322.0ms (1.1%)

Memory: -13.2MiB live, 184.2MiB allocated
Remove: (abs y)
Compiler: Compiled 982 to 224 computations (77.2% 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	24	127
0	43	127
1	65	127
2	102	127
3	232	127
4	469	127
5	609	127
6	646	127
0	646	127

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	24	127
0	43	127
1	65	127
2	102	127
3	232	127
4	469	127
5	609	127
6	646	127
0	646	127

start0.0ms (0%)

analyze0.0ms (0%)

sample726.0ms (2.4%)

explain62.0ms (0.2%)

preprocess26.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize19.0ms (0.1%)

series7.0ms (0%)

simplify143.0ms (0.5%)

rewrite50.0ms (0.2%)

eval7.0ms (0%)

prune10.0ms (0%)

simplify4.0ms (0%)

localize48.0ms (0.2%)

series7.0ms (0%)

simplify194.0ms (0.6%)

rewrite263.0ms (0.9%)

eval153.0ms (0.5%)

prune113.0ms (0.4%)

simplify47.0ms (0.2%)

localize151.0ms (0.5%)

series17.0ms (0.1%)

simplify183.0ms (0.6%)

rewrite138.0ms (0.5%)

eval127.0ms (0.4%)

prune28.0ms (0.1%)

simplify50.0ms (0.2%)

localize98.0ms (0.3%)

series35.0ms (0.1%)

simplify299.0ms (1%)

rewrite325.0ms (1.1%)

eval288.0ms (0.9%)

prune63.0ms (0.2%)

regimes48.0ms (0.2%)

regimes80.0ms (0.3%)

regimes52.0ms (0.2%)

regimes18.0ms (0.1%)

regimes52.0ms (0.2%)

regimes15.0ms (0%)

regimes29.0ms (0.1%)

regimes19.0ms (0.1%)

regimes7.0ms (0%)

regimes10.0ms (0%)

regimes33.0ms (0.1%)

regimes9.0ms (0%)

regimes13.0ms (0%)

regimes4.0ms (0%)

regimes8.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch7.0ms (0%)

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%)

simplify32.0ms (0.1%)

soundness26.1s (85.4%)

preprocess322.0ms (1.1%)

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

Iter	Nodes	Cost
0	24	127
0	43	127
1	65	127
2	102	127
3	232	127
4	469	127
5	609	127
6	646	127
0	646	127