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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.1%)

Memory

-43.6MiB live, 0.4MiB 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)

sample644.0ms (2.2%)

Memory

29.8MiB live, 853.7MiB allocated

Samples

438.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-mult: 163.0ms (60.5% of total)

ival-exp: 97.0ms (36% of total)

ival-true: 7.0ms (2.6% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain60.0ms (0.2%)

Memory

-16.7MiB live, 109.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

22.0ms

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 (63.2% of total)

ival-exp: 4.0ms (36.1% of total)

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

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

preprocess26.0ms (0.1%)

Memory

5.6MiB live, 44.3MiB allocated

Algorithm

1×	egg-herbie

Rules

254×	`exp-prod`
104×	`exp-sum`
96×	`associate-r`
64×	`unsub-neg`
60×	`distribute-lft-neg-in`

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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify4.0ms (0%)

Memory

6.8MiB live, 6.8MiB 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)

Rules

14×	`exp-prod`
14×	`lower-pow.f64`
14×	`lower-*.f32`
14×	`lower-pow.f32`
10×	`lower-*.f64`

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

localize53.0ms (0.2%)

Memory

-8.8MiB live, 30.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.0078125	(exp.f64 (.f64 (.f64 x y) y))
accuracy	0.15234375	(.f64 (.f64 x y) y)

Samples

49.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-mult: 3.0ms (55.7% of total)

ival-exp: 2.0ms (37.1% of total)

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

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

series7.0ms (0%)

Memory

12.8MiB live, 12.8MiB 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	y	@	-inf	((* (* x y) y) (* x y) (exp (* (* x y) y)))
1.0ms	x	@	inf	((* (* x y) y) (* x y) (exp (* (* x y) y)))

simplify144.0ms (0.5%)

Memory

11.4MiB live, 90.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 254×	`lower-fma.f64`
4 254×	`lower-fma.f32`
3 346×	`associate-r`
2 634×	`lower-*.f64`
2 634×	`lower-*.f32`

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)

rewrite38.0ms (0.1%)

Memory

-3.8MiB live, 34.4MiB allocated

Rules

1 196×	`frac-add`
738×	`frac-times`
536×	`frac-sub`
406×	`associate-*r/`
270×	`pow-pow`

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
y
x
#s(literal 0 binary64)
y
x
#s(literal 0 binary64)
#s(literal 1 binary64)

eval7.0ms (0%)

Memory: 10.0MiB live, 10.0MiB allocated
Compiler: Compiled 555 to 42 computations (92.4% saved)

prune11.0ms (0%)

Memory

-25.9MiB live, 12.6MiB 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))
▶	82.1%	(exp.f64 (*.f64 x y))
▶	61.2%	(exp.f64 y)
▶	62.2%	(exp.f64 x)
▶	60.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	52.6%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 40 to 45 computations (-12.5% saved)

simplify5.0ms (0%)

Memory

3.4MiB live, 3.4MiB 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)

Rules

14×	`exp-prod`
14×	`lower-pow.f64`
14×	`lower-*.f32`
14×	`lower-pow.f32`
10×	`lower-*.f64`

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

localize35.0ms (0.1%)

Memory

15.9MiB live, 54.5MiB 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	0.0859375	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy	25.584604673091253	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
accuracy	30.30550157664332	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(exp.f64 (*.f64 x y))

Samples

27.0ms

256×

valid

Compiler

Compiled 43 to 14 computations (67.4% saved)

Precisions

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

ival-exp: 7.0ms (47.6% of total)

ival-mult: 6.0ms (40.8% of total)

ival-add: 1.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Memory

-16.2MiB live, 26.8MiB 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))

simplify387.0ms (1.3%)

Memory

-29.8MiB live, 189.3MiB allocated

Algorithm

1×	egg-herbie

Rules

19 796×	`lower-fma.f64`
19 796×	`lower-fma.f32`
5 202×	`lower-*.f64`
5 202×	`lower-*.f32`
2 168×	`lower-+.f64`

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)

rewrite293.0ms (1%)

Memory

30.6MiB live, 301.0MiB allocated

Rules

24 464×	`lower-fma.f32`
24 462×	`lower-fma.f64`
4 206×	`lower-*.f32`
4 202×	`lower-*.f64`
3 536×	`lower-/.f64`

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
(.f64 (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64))) x)
(.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 y #s(literal 1/2 binary64))) x)
(.f64 (.f64 y #s(literal 1/2 binary64)) (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(/.f64 (-.f64 (.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (.f64 (.f64 y #s(literal 1/2 binary64)) x)) (.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (.f64 (.f64 y #s(literal 1/2 binary64)) x))) (-.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (.f64 (.f64 y #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (.f64 (.f64 y #s(literal 1/2 binary64)) x) (-.f64 (.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (.f64 (.f64 y #s(literal 1/2 binary64)) x)) (.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (.f64 (.f64 y #s(literal 1/2 binary64)) x)))))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) (.f64 x #s(literal 1/2 binary64)))) (log.f64 (pow.f64 (exp.f64 y) (.f64 x #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (.f64 (.f64 y #s(literal 1/2 binary64)) x))
(log.f64 (pow.f64 (exp.f64 y) x))
(.f64 (pow.f64 (exp.f64 x) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (exp.f64 x) (.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 y) (.f64 x #s(literal 1/2 binary64))) (pow.f64 (exp.f64 y) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (exp.f64 x) (.f64 y #s(literal 1/2 binary64))) (pow.f64 (exp.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (.f64 (exp.f64 y) (exp.f64 y)) (.f64 x #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) y)
(pow.f64 (pow.f64 (exp.f64 y) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (*.f64 y x))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
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(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 (.f64 x x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal -2 binary64)) (fma.f64 (.f64 x x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal -3 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (fma.f64 (.f64 y x) y #s(literal -1 binary64)))))) (/.f64 (pow.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (fma.f64 (*.f64 y x) y #s(literal -1 binary64)))))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))) (neg.f64 (fma.f64 (*.f64 y x) y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) y #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 4 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64))) (fma.f64 (.f64 y x) y #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 y x) y #s(literal 1 binary64))))
(-.f64 (.f64 (.f64 y x) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 y y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 y x) y #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (neg.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64))) (fma.f64 (.f64 y x) y #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x y) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y x) y #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (.f64 y x) y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (.f64 y x) y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 y x) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 (.f64 y y))) x))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 (.f64 y x))) y))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 x)) (.f64 y y)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 y)) (.f64 y x)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) (*.f64 y y))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y y)) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) (*.f64 y y)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 y x)) (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (neg.f64 (.f64 y x))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (neg.f64 (.f64 y y))))
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 (neg.f64 x) (.f64 y y))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/2 binary64))) x)
(.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 y #s(literal 1/2 binary64))) x)
(.f64 (.f64 y #s(literal 1/2 binary64)) (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(/.f64 (-.f64 (.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (.f64 (.f64 y #s(literal 1/2 binary64)) x)) (.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (.f64 (.f64 y #s(literal 1/2 binary64)) x))) (-.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (.f64 (.f64 y #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (.f64 (.f64 y #s(literal 1/2 binary64)) x) (-.f64 (.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (.f64 (.f64 y #s(literal 1/2 binary64)) x)) (.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (.f64 (.f64 y #s(literal 1/2 binary64)) x)))))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 (*.f64 y #s(literal 1/2 binary64)) x))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) (.f64 x #s(literal 1/2 binary64)))) (log.f64 (pow.f64 (exp.f64 y) (.f64 x #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) x) (.f64 (.f64 y #s(literal 1/2 binary64)) x))
(log.f64 (pow.f64 (exp.f64 y) x))
(exp.f64 x)
(pow.f64 (E.f64) y)
(pow.f64 (exp.f64 y) #s(literal 1 binary64))
(exp.f64 y)

eval46.0ms (0.2%)

Memory: 20.1MiB live, 94.9MiB allocated
Compiler: Compiled 8 108 to 872 computations (89.2% saved)

prune118.0ms (0.4%)

Memory

7.9MiB live, 44.1MiB 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))
✓	82.1%	(exp.f64 (*.f64 x y))
✓	61.2%	(exp.f64 y)
✓	62.2%	(exp.f64 x)
✓	60.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	12.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
✓	52.6%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	55.1%	#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)))
	53.7%	#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)))
▶	47.9%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
▶	55.1%	#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)))
	51.9%	#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
	45.4%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
▶	41.7%	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
▶	39.3%	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
▶	32.5%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 197 to 173 computations (12.2% saved)

simplify114.0ms (0.4%)

Memory

-18.8MiB live, 27.4MiB 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)))

Rules

904×	`lower-fma.f32`
886×	`lower-fma.f64`
336×	`lower-*.f64`
336×	`lower-*.f32`
260×	`lower-+.f32`

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)

localize289.0ms (1%)

Memory

-20.1MiB live, 265.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.03125	(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	0.05859375	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.16532003162065376	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	22.117270217597042	#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	24.515300734105008	#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	28.368654877142955	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	32.030380322155665	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	0.0390625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.15625	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	11.552360663515497	#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

115.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 106 to 30 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-add: 67.0ms (65.9% of total)

ival-mult: 15.0ms (14.8% of total)

ival-exp: 13.0ms (12.8% of total)

const: 6.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0%)

Memory

23.4MiB live, 23.4MiB 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>) () ())) ())
#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 (taylor 0 y) (#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 (+ 1 (* x y)) (taylor 0 y) (#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 (+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) (taylor 0 y) (#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 (+ 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 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#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 y)) (taylor 0 y) (#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 y)) (taylor 0 y) (#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 y)) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp y) (taylor inf 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 (exp y) (taylor inf 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 (exp y) (taylor inf 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 (exp y) (taylor inf 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 (* 1/6 (pow y 3)) (taylor inf 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 (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y)))) (taylor inf 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 (* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) (taylor inf 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 (* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) (taylor inf 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 (* 1/6 (pow y 2)) (taylor inf 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 (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y)))) (taylor inf 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 (* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) (taylor inf 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 (* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) (taylor inf 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 (* 1/6 y) (taylor inf 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 (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor inf 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 (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor inf 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 (* y (+ 1/6 (* 1/2 (/ 1 y)))) (taylor inf 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 (exp (* x y)) (taylor inf y) (#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 y) (#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 y) (#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 y) (#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 y) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#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
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	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	@	-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))
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))

simplify201.0ms (0.7%)

Memory

-4.3MiB live, 194.8MiB allocated

Algorithm

1×	egg-herbie

Rules

21 834×	`lower-fma.f64`
21 834×	`lower-fma.f32`
5 826×	`lower-*.f64`
5 826×	`lower-*.f32`
3 352×	`lower-+.f64`

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))

rewrite177.0ms (0.6%)

Memory

17.3MiB live, 207.8MiB allocated

Rules

4 760×	`lower-*.f64`
4 760×	`lower-*.f32`
4 690×	`lower-/.f64`
4 690×	`lower-/.f32`
4 370×	`lower-fma.f32`

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
#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)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(*.f64 #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)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 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 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 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))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))
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(/.f64 (.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/10077696 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64)))) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))))
(/.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)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))

eval147.0ms (0.5%)

Memory: -30.8MiB live, 173.7MiB allocated
Compiler: Compiled 11 904 to 1 955 computations (83.6% saved)

prune29.0ms (0.1%)

Memory

-15.4MiB live, 70.5MiB allocated

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	609	10	619
Fresh	3	2	5
Picked	3	2	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))
✓	82.1%	(exp.f64 (*.f64 x y))
✓	61.2%	(exp.f64 y)
✓	62.2%	(exp.f64 x)
✓	60.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	12.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
✓	52.6%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶	60.7%	#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)))
	53.7%	#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)))
✓	47.9%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
	7.4%	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 x y)))
▶	51.9%	#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)))
▶	45.4%	#s(approx (exp y) (+.f64 y #s(literal 1 binary64)))
▶	13.8%	#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)))
	41.7%	#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)))
	41.7%	#s(approx (exp x) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 x #s(literal 1/6 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
✓	32.5%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
	18.1%	#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))))
	17.0%	#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)))
▶	14.6%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))

Compiler

Compiled 266 to 237 computations (10.9% saved)

simplify65.0ms (0.2%)

Memory

37.3MiB live, 76.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

2 496×	`lower-fma.f32`
2 484×	`lower-fma.f64`
1 170×	`lower-*.f32`
1 156×	`lower-*.f64`
766×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	242
0	61	242
1	104	242
2	198	242
3	473	242
4	1021	242
5	1315	242
6	1675	242
7	2270	242
8	2825	242
9	2884	242
10	2884	242
11	2884	242
12	3110	242
13	3159	242
0	3159	234

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

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

localize224.0ms (0.8%)

Memory

-22.7MiB live, 135.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0625	(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
accuracy	0.15625	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	11.552360663515497	#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	32.251891419494505	#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	0.0390625	(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))
accuracy	0.046875	(fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	11.552360663515497	#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)))
accuracy	29.43520475221632	#s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64))
accuracy	0	(.f64 (.f64 x #s(literal 1/2 binary64)) x)
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	24.758051298664576	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
accuracy	30.765942393187313	#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	29.06865708539101	#s(approx (exp y) (+.f64 y #s(literal 1 binary64)))
accuracy	0.9246642108846729	(.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64)))
accuracy	1.4072764247966987	(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	4.862550714112209	(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y)
accuracy	21.809034850930495	#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

166.0ms

256×

valid

Compiler

Compiled 168 to 33 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-mult: 125.0ms (82.9% of total)

ival-add: 16.0ms (10.6% of total)

ival-exp: 5.0ms (3.3% of total)

const: 4.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series40.0ms (0.1%)

Memory

-6.0MiB live, 29.4MiB allocated

Counts

19 → 276

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

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

Calls

6 calls:

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

simplify176.0ms (0.6%)

Memory

33.5MiB live, 181.8MiB allocated

Algorithm

1×	egg-herbie

Rules

19 632×	`lower-fma.f64`
19 632×	`lower-fma.f32`
4 730×	`lower-*.f64`
4 730×	`lower-*.f32`
2 684×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	2100
1	768	2066
2	2616	2018
3	6171	2004
0	8350	1801

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 272

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

rewrite191.0ms (0.7%)

Memory

-18.7MiB live, 178.2MiB allocated

Rules

5 622×	`lower-fma.f32`
5 610×	`lower-fma.f64`
4 238×	`lower-/.f64`
4 238×	`lower-/.f32`
3 554×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	215
0	61	215
1	222	215
2	1620	215
0	8269	207

Stop Event

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

Counts

19 → 347

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

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

eval114.0ms (0.4%)

Memory: 24.6MiB live, 151.1MiB allocated
Compiler: Compiled 12 542 to 1 765 computations (85.9% saved)

prune42.0ms (0.1%)

Memory

-34.3MiB live, 89.9MiB allocated

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	613	6	619
Fresh	1	6	7
Picked	3	2	5
Done	0	8	8
Total	617	22	639

Accuracy

100.0%

Counts

639 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	82.1%	(exp.f64 (*.f64 x y))
✓	61.2%	(exp.f64 y)
✓	62.2%	(exp.f64 x)
✓	60.0%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	12.7%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
✓	52.6%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	60.5%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (.f64 y x) (.f64 #s(literal 1/2 binary64) (*.f64 y y))) x y) x #s(literal 1 binary64)))
	58.6%	#s(approx (exp (* x y)) (fma.f64 (fma.f64 #s(approx (* (* y y) (+ (* (* 1/6 y) x) 1/2)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))
✓	47.9%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
	17.9%	#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)) y) y) (*.f64 x x))))
	7.4%	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 x y)))
✓	45.4%	#s(approx (exp y) (+.f64 y #s(literal 1 binary64)))
	15.6%	#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)))))
	15.2%	#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)))
	10.6%	#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)))
	41.7%	#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)))
	41.7%	#s(approx (exp x) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 x #s(literal 1/6 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
✓	32.5%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
	18.1%	#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))))
	17.0%	#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)))
✓	14.6%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))

Compiler

Compiled 479 to 291 computations (39.2% saved)

regimes68.0ms (0.2%)

Memory

4.0MiB live, 79.7MiB allocated

Counts

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

38.0ms	y
12.0ms	x
9.0ms	(.f64 (.f64 x y) y)
8.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes57.0ms (0.2%)

Memory

14.6MiB live, 60.5MiB allocated

Counts

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

Calls

4 calls:

30.0ms	y
9.0ms	x
8.0ms	(.f64 (.f64 x y) y)
8.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
84.5%	2	`x`
88.5%	2	`y`
91.4%	3	`(exp.f64 (.f64 (.f64 x y) y))`
93.3%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes47.0ms (0.2%)

Memory

14.8MiB live, 54.0MiB allocated

Counts

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

3 calls:

28.0ms	(exp.f64 (.f64 (.f64 x y) y))
9.0ms	y
8.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
79.4%	2	`y`
87.6%	3	`(exp.f64 (.f64 (.f64 x y) y))`
89.5%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes43.0ms (0.1%)

Memory

-22.5MiB live, 14.7MiB allocated

Counts

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

#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

1 calls:

41.0ms

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

Results

Accuracy	Segments	Branch
87.6%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes43.0ms (0.1%)

Memory

6.8MiB live, 44.5MiB allocated

Counts

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

19.0ms	x
8.0ms	y
7.0ms	(.f64 (.f64 x y) y)
7.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
69.0%	2	`y`
64.3%	2	`x`
74.0%	3	`(exp.f64 (.f64 (.f64 x y) y))`
74.0%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes14.0ms (0%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

23 → 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 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 x) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) (*.f64 x #s(literal 1/6 binary64))) x #s(literal 1 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 y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) (fma.f64 (fma.f64 #s(approx (* (* y y) (+ (* (* 1/6 y) x) 1/2)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x 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)) y) y) (*.f64 x x))))
#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 #s(approx (* (* y y) (+ (* (* 1/6 y) x) 1/2)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) 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
71.8%	3	`(exp.f64 (.f64 (.f64 x y) y))`
71.8%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes118.0ms (0.4%)

Memory

-47.5MiB live, 10.7MiB allocated

Counts

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

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

Calls

3 calls:

106.0ms	(.f64 (.f64 x y) y)
6.0ms	y
5.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
67.7%	3	`y`
67.4%	3	`(exp.f64 (.f64 (.f64 x y) y))`
69.9%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes6.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

16 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
69.8%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

14 → 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 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)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.3%	3	`(exp.f64 (.f64 (.f64 x y) y))`
65.6%	3	`y`
68.9%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes7.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

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

Outputs
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #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) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
#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))`
68.9%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0%)

Memory

2.5MiB live, 2.5MiB 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 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) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
68.4%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes51.0ms (0.2%)

Memory

-25.8MiB live, 13.1MiB allocated

Counts

8 → 4

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
61.2%	3	`y`
55.7%	2	`x`
63.5%	3	`(exp.f64 (.f64 (.f64 x y) y))`
65.8%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0%)

Memory

11.2MiB live, 11.2MiB 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

2 calls:

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

Results

Accuracy	Segments	Branch
63.4%	3	`(exp.f64 (.f64 (.f64 x y) y))`
63.4%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes8.0ms (0%)

Memory

14.9MiB live, 14.9MiB 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

3 calls:

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

Results

Accuracy	Segments	Branch
56.4%	2	`y`
56.7%	2	`(exp.f64 (.f64 (.f64 x y) y))`
56.7%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes5.0ms (0%)

Memory

8.7MiB live, 8.7MiB 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
56.7%	2	`(exp.f64 (.f64 (.f64 x y) y))`
56.7%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes14.0ms (0%)

Memory

-19.5MiB live, 16.5MiB allocated

Accuracy

Total -17.9b remaining (-59%)

Threshold costs -17.9b (-59%)

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:

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

Results

Accuracy	Segments	Branch
52.6%	1	`x`
52.6%	1	`y`
52.6%	1	`(exp.f64 (.f64 (.f64 x y) y))`
52.6%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.274755079419661e+104	1.7310939857049813e+116
0.0ms	51.23237974548175	11224.384645800019
0.0ms	-1245572981.9238026	-3.7350173498843333e-6

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	4.887491113917914e+81	3.506655091292471e+95
0.0ms	51.23237974548175	11224.384645800019
0.0ms	-1245572981.9238026	-3.7350173498843333e-6

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4345467.50053272	16393813.717115672
0.0ms	-1245572981.9238026	-3.7350173498843333e-6

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	4345467.50053272	16393813.717115672
0.0ms	-1245572981.9238026	-3.7350173498843333e-6

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	4345467.50053272	16393813.717115672
0.0ms	-1245572981.9238026	-3.7350173498843333e-6

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	3.6714544788547005e+295	5.3947331566492e+307
0.0ms	4345467.50053272	16393813.717115672
0.0ms	-1245572981.9238026	-3.7350173498843333e-6

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.6714544788547005e+295	5.3947331566492e+307
0.0ms	4345467.50053272	16393813.717115672
0.0ms	-1245572981.9238026	-3.7350173498843333e-6

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	5.190561094934629e+215	2.263314943519178e+230
0.0ms	4345467.50053272	16393813.717115672
0.0ms	-1245572981.9238026	-3.7350173498843333e-6

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	5.190561094934629e+215	2.263314943519178e+230
0.0ms	2.904034632401009e+45	1.1406801985976141e+46
0.0ms	-1245572981.9238026	-3.7350173498843333e-6

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	5.190561094934629e+215	2.263314943519178e+230
0.0ms	4345467.50053272	16393813.717115672
0.0ms	-1.662540105499837e+38	-9.7546055876561e+37

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	5.190561094934629e+215	2.263314943519178e+230
0.0ms	4345467.50053272	16393813.717115672
0.0ms	-1.662540105499837e+38	-9.7546055876561e+37

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	4345467.50053272	16393813.717115672
0.0ms	-1.662540105499837e+38	-9.7546055876561e+37

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	51.23237974548175	11224.384645800019

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9542065067108236e+70	4.887491113917914e+81

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify71.0ms (0.2%)

Memory

-26.9MiB live, 55.8MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	988
1	154	988

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000 binary64)) (exp.f64 (.f64 x y)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 100 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 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) (exp.f64 y) (exp.f64 (.f64 x y)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 100 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 4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) (exp.f64 y) #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 -1000000000 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000 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 -1000000000 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 5000000 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 -1000000000 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 5000000 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 #s(approx (* (* y y) (+ (* (* 1/6 y) x) 1/2)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000 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 5000000 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 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (.f64 x #s(literal 1/6 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000 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 5000000 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 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320 binary64)) #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 (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000 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 5000000 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 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000 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 4999999999999999965699095179735106473829597184 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 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 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 (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -99999999999999997748809823456034029568 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 5000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 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 (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -99999999999999997748809823456034029568 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 5000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 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))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -99999999999999997748809823456034029568 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 5000000 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 x y) y) #s(literal 100 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 20000000000000001450628727630584702523167488192930439110364203109580800 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 (.f64 (.f64 x y) y) #s(literal -1000000000 binary64)) (exp.f64 (.f64 x y)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 100 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 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) (exp.f64 y) (exp.f64 (.f64 x y)))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -1000000000 binary64)) (exp.f64 (.f64 y x)) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 100 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 200000000000000000383135017146933747243191025453038402230560702919875864840797751192247229021636064706560 binary64)) (exp.f64 y) (exp.f64 (.f64 y x)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 100 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 4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) (exp.f64 y) #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 -1000000000 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 100 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 4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) (exp.f64 y) #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 -1000000000 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 5000000 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 -1000000000 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 5000000 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 -1000000000 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 5000000 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 -1000000000 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 5000000 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 -1000000000 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 5000000 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 #s(approx (* (* y y) (+ (* (* 1/6 y) x) 1/2)) (.f64 (.f64 y y) #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -1000000000 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 5000000 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 #s(approx (* (* y y) (+ (* (* 1/6 y) x) 1/2)) (.f64 #s(literal 1/2 binary64) (.f64 y y))) x y) x #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000 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 5000000 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 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (.f64 x #s(literal 1/6 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -1000000000 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 5000000 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 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000 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 5000000 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 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320 binary64)) #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 (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -1000000000 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 5000000 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 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320 binary64)) #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 (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000 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 5000000 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 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -1000000000 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 5000000 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 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1000000000 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 4999999999999999965699095179735106473829597184 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 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 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 (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -1000000000 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 4999999999999999965699095179735106473829597184 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 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 binary64)) #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -99999999999999997748809823456034029568 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 5000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 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 (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -99999999999999997748809823456034029568 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 5000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -99999999999999997748809823456034029568 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 5000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 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))))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -99999999999999997748809823456034029568 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 5000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 1000000000000000021421546958041957442493134746744949294176709095342291740583330369404881029347127449862957279318330932090828950478869943421594604148335480073467842242942440201823873880805647866312652703956229962072064 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) 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))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -99999999999999997748809823456034029568 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 5000000 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 -99999999999999997748809823456034029568 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 5000000 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 (.f64 (.f64 x y) y) #s(literal 100 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal 100 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 20000000000000001450628727630584702523167488192930439110364203109580800 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 20000000000000001450628727630584702523167488192930439110364203109580800 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))

soundness24.6s (84.5%)

Memory

19.3MiB live, 1 043.8MiB allocated

Rules

21 834×	`lower-fma.f64`
21 834×	`lower-fma.f32`
19 796×	`lower-fma.f64`
19 796×	`lower-fma.f32`
19 632×	`lower-fma.f64`

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	5	14
0	8	16
1	14	16
2	29	16
3	92	16
4	482	3
5	3914	3
0	9072	3
0	229	2100
1	768	2066
2	2616	2018
3	6171	2004
0	8350	1801
0	144	1092
1	466	1079
2	1303	1062
3	4616	1060
0	8711	910
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×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 827 to 348 computations (57.9% saved)

preprocess198.0ms (0.7%)

Memory: 31.8MiB live, 151.4MiB allocated
Remove: (abs y)
Compiler: Compiled 1 248 to 244 computations (80.4% 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%)

analyze17.0ms (0.1%)

sample644.0ms (2.2%)

explain60.0ms (0.2%)

preprocess26.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize53.0ms (0.2%)

series7.0ms (0%)

simplify144.0ms (0.5%)

rewrite38.0ms (0.1%)

eval7.0ms (0%)

prune11.0ms (0%)

simplify5.0ms (0%)

localize35.0ms (0.1%)

series15.0ms (0.1%)

simplify387.0ms (1.3%)

rewrite293.0ms (1%)

eval46.0ms (0.2%)

prune118.0ms (0.4%)

simplify114.0ms (0.4%)

localize289.0ms (1%)

series12.0ms (0%)

simplify201.0ms (0.7%)

rewrite177.0ms (0.6%)

eval147.0ms (0.5%)

prune29.0ms (0.1%)

simplify65.0ms (0.2%)

localize224.0ms (0.8%)

series40.0ms (0.1%)

simplify176.0ms (0.6%)

rewrite191.0ms (0.7%)

eval114.0ms (0.4%)

prune42.0ms (0.1%)

regimes68.0ms (0.2%)

regimes57.0ms (0.2%)

regimes47.0ms (0.2%)

regimes43.0ms (0.1%)

regimes43.0ms (0.1%)

regimes14.0ms (0%)

regimes118.0ms (0.4%)

regimes6.0ms (0%)

regimes14.0ms (0%)

regimes7.0ms (0%)

regimes4.0ms (0%)

regimes51.0ms (0.2%)

regimes6.0ms (0%)

regimes8.0ms (0%)

regimes5.0ms (0%)

regimes14.0ms (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%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify71.0ms (0.2%)

soundness24.6s (84.5%)

preprocess198.0ms (0.7%)

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