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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample924.0ms (3%)

Memory

3.0MiB live, 879.1MiB allocated

Samples

573.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 317.0ms

ival-mult: 237.0ms (74.8% of total)

ival-exp: 70.0ms (22.1% of total)

ival-true: 7.0ms (2.2% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain66.0ms (0.2%)

Memory

-10.7MiB live, 108.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(-1.0984858475037122e+207 -1.7858485584772867e-103)	`(exp.f64 (.f64 (.f64 x y) y))`
0	-	0	-	`y`
0	-	0	-	`(.f64 (.f64 x y) y)`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	1
-	0	255

Precision

0/0

Recall

0.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

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

ival-mult: 7.0ms (60.4% of total)

ival-exp: 4.0ms (34.5% of total)

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

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

preprocess25.0ms (0.1%)

Memory

6.9MiB live, 45.1MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

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

localize23.0ms (0.1%)

Memory

-16.9MiB live, 39.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.020195019536884032	(exp.f64 (.f64 (.f64 x y) y))
accuracy	0.13671875	(.f64 (.f64 x y) y)

Samples

19.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-exp: 3.0ms (41.7% of total)

ival-mult: 3.0ms (41.7% of total)

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

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

series7.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

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

simplify149.0ms (0.5%)

Memory

0.6MiB live, 78.1MiB 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)

rewrite53.0ms (0.2%)

Memory

-2.3MiB live, 77.7MiB 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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval9.0ms (0%)

Memory: -11.8MiB live, 26.9MiB allocated
Compiler: Compiled 555 to 42 computations (92.4% saved)

prune6.0ms (0%)

Memory

19.2MiB live, 19.2MiB 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))
▶	85.6%	(exp.f64 (*.f64 x y))
▶	68.6%	(exp.f64 y)
▶	58.7%	(exp.f64 x)
▶	64.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
▶	51.8%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

Compiler

Compiled 40 to 45 computations (-12.5% saved)

simplify6.0ms (0%)

Memory

-24.6MiB live, 14.7MiB 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

localize36.0ms (0.1%)

Memory

25.5MiB live, 63.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 y)
accuracy	0	(exp.f64 x)
accuracy	0	(*.f64 y x)
accuracy	0.08041000976844201	(fma.f64 (*.f64 y x) y #s(literal 1 binary64))
accuracy	22.627080536191666	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
accuracy	30.820826035086814	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.010097509768442016	(exp.f64 (*.f64 x y))

Samples

28.0ms

256×

valid

Compiler

Compiled 43 to 14 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-exp: 10.0ms (52.8% of total)

ival-mult: 7.0ms (37% of total)

ival-add: 1.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.1%)

Memory

-25.6MiB live, 15.6MiB 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
9.0ms	y	@	-inf	((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
1.0ms	y	@	0	((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
1.0ms	x	@	-inf	((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
1.0ms	x	@	0	((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))
1.0ms	y	@	inf	((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y))

simplify430.0ms (1.4%)

Memory

14.6MiB live, 207.6MiB 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)

rewrite394.0ms (1.3%)

Memory

-15.2MiB live, 343.6MiB 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
#<batchref>
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eval49.0ms (0.2%)

Memory: 7.8MiB live, 89.7MiB allocated
Compiler: Compiled 8 108 to 872 computations (89.2% saved)

prune18.0ms (0.1%)

Memory

6.8MiB live, 45.8MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	423	9	432
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	423	15	438

Accuracy

100.0%

Counts

438 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	85.6%	(exp.f64 (*.f64 x y))
✓	68.6%	(exp.f64 y)
✓	58.7%	(exp.f64 x)
✓	64.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	19.0%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
✓	51.8%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
	58.8%	#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)))
▶	51.5%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
▶	62.5%	#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
	60.3%	#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
	48.3%	#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
▶	42.5%	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
▶	40.5%	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
▶	30.6%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 173 to 155 computations (10.4% saved)

simplify17.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB 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)

localize98.0ms (0.3%)

Memory

-6.7MiB live, 115.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.07650375976844201	(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	0.1953125	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	20.443925252687123	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	23.66127935784341	#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	26.396676322110096	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	32.51991923027565	#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	0.0625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	0.13671875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.254500295280728	#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

64.0ms

256×

valid

Compiler

Compiled 106 to 30 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 20.0ms (48.5% of total)

ival-add: 11.0ms (26.7% of total)

ival-exp: 6.0ms (14.6% of total)

const: 4.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0%)

Memory

-18.5MiB live, 19.0MiB 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>) () ())) ())
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#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>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify238.0ms (0.8%)

Memory

30.8MiB live, 258.0MiB 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))

rewrite307.0ms (1%)

Memory

-21.3MiB live, 218.0MiB 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
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eval111.0ms (0.4%)

Memory: 16.4MiB live, 133.8MiB allocated
Compiler: Compiled 11 904 to 1 955 computations (83.6% saved)

prune61.0ms (0.2%)

Memory

-7.4MiB live, 68.0MiB allocated

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	606	13	619
Fresh	3	1	4
Picked	2	3	5
Done	0	6	6
Total	611	23	634

Accuracy

100.0%

Counts

634 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	85.6%	(exp.f64 (*.f64 x y))
✓	68.6%	(exp.f64 y)
✓	58.7%	(exp.f64 x)
✓	64.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	19.0%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
✓	51.8%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
▶	66.5%	#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)))
✓	51.5%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
	51.5%	#s(approx (exp (* x y)) (+.f64 (*.f64 x y) #s(literal 1 binary64)))
	9.4%	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 x y)))
	62.5%	#s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
▶	60.3%	#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)))
▶	48.3%	#s(approx (exp y) (+.f64 y #s(literal 1 binary64)))
▶	18.2%	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
✓	42.5%	#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)))
	42.5%	#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)))
	42.7%	#s(approx (exp x) (fma.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64)))
✓	30.6%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
	19.3%	#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))))
	17.6%	#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)))
	13.7%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
▶	15.6%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))

Compiler

Compiled 323 to 290 computations (10.2% saved)

simplify69.0ms (0.2%)

Memory

38.7MiB live, 73.7MiB 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)

localize188.0ms (0.6%)

Memory

-54.1MiB live, 131.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.078125	(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
accuracy	0.13671875	(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))
accuracy	10.254500295280728	#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	32.661345442100966	#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	0.0625	(fma.f64 #s(approx (+ (* 1/6 y) 1/2) #s(literal 1/2 binary64)) y #s(literal 1 binary64))
accuracy	10.254500295280728	#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	29.425353894814318	#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	23.66127935784341	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))
accuracy	29.962493021838178	#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	29.171400934058845	#s(approx (exp y) (+.f64 y #s(literal 1 binary64)))
accuracy	0.9578092440196221	(.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64)))
accuracy	0.99167295228817	(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	3.728395817952546	(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64))) x y)
accuracy	18.42378907024451	#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

123.0ms

256×

valid

Compiler

Compiled 168 to 33 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 50.0ms (46.6% of total)

ival-exp: 29.0ms (27% of total)

ival-add: 24.0ms (22.4% of total)

const: 4.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.1%)

Memory

-14.3MiB live, 33.3MiB 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>) () ())) ())
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#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))

simplify200.0ms (0.7%)

Memory

34.0MiB live, 266.7MiB 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))
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(fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
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(.f64 (.f64 #s(literal 1/6 binary64) y) y)
(* (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))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)
(* 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))
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)))))))
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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)))))))
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y
(+ y (* 1/2 (* x (pow y 2))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y)
(+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(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 (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(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))
(+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) y) y)
(+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) y) y)
(+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))
(.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 x)
(+.f64 x #s(literal 1 binary64))
(+ 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))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 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 (* 1/2 x))))
(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)))
(* (pow x 3) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y x) #s(literal 1/2 binary64)) y) y) (*.f64 x x))
(* (pow x 3) (+ (* 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))) (pow.f64 x #s(literal 3 binary64)))
(* (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)

rewrite377.0ms (1.2%)

Memory

13.2MiB live, 158.5MiB 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
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eval156.0ms (0.5%)

Memory: -33.7MiB live, 99.1MiB allocated
Compiler: Compiled 12 542 to 1 765 computations (85.9% saved)

prune33.0ms (0.1%)

Memory

26.3MiB live, 101.4MiB allocated

Pruning

26 alts after pruning (14 fresh and 12 done)

	Pruned	Kept	Total
New	613	6	619
Fresh	1	8	9
Picked	2	3	5
Done	0	9	9
Total	616	26	642

Accuracy

100.0%

Counts

642 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	85.6%	(exp.f64 (*.f64 x y))
✓	68.6%	(exp.f64 y)
✓	58.7%	(exp.f64 x)
✓	64.6%	#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64)))
	19.0%	#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))
✓	51.8%	#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
✓	66.5%	#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)))
✓	51.5%	#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))
	51.5%	#s(approx (exp (* x y)) (+.f64 (*.f64 x y) #s(literal 1 binary64)))
	22.1%	#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))))
	9.4%	#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 x y)))
✓	48.3%	#s(approx (exp y) (+.f64 y #s(literal 1 binary64)))
	20.0%	#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)))))
	18.2%	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))
	18.2%	#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)))) y) y)))
	18.1%	#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)))
	16.0%	#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)))
✓	42.5%	#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)))
	42.5%	#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)))
	42.7%	#s(approx (exp x) (fma.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64)))
✓	30.6%	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
	19.3%	#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))))
	17.6%	#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)))
	13.7%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
✓	15.6%	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x)))

Compiler

Compiled 537 to 342 computations (36.3% saved)

regimes45.0ms (0.1%)

Memory

-4.9MiB live, 121.4MiB allocated

Counts

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

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

Calls

4 calls:

13.0ms	(.f64 (.f64 x y) y)
11.0ms	y
11.0ms	x
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)

regimes47.0ms (0.2%)

Memory

-1.7MiB live, 118.8MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
87.8%	2	`x`
90.4%	2	`y`
92.5%	3	`(exp.f64 (.f64 (.f64 x y) y))`
94.7%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes40.0ms (0.1%)

Memory

14.7MiB live, 88.5MiB 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 y)) (+.f64 (*.f64 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 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) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 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 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 x) (fma.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) 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 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (.f64 y y))))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (exp (* x y)) #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 y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (.f64 (.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)))) y) y)))
#s(approx (exp y) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(exp.f64 x)
(exp.f64 y)

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

Calls

4 calls:

11.0ms	y
11.0ms	(.f64 (.f64 x y) y)
9.0ms	x
7.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
76.5%	3	`x`
79.9%	3	`y`
86.0%	3	`(exp.f64 (.f64 (.f64 x y) y))`
88.2%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes13.0ms (0%)

Memory

-32.1MiB live, 15.7MiB allocated

Counts

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

Outputs

(exp.f64 x)

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

#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:

11.0ms

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

Results

Accuracy	Segments	Branch
86.0%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes38.0ms (0.1%)

Memory

18.1MiB live, 55.6MiB allocated

Counts

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

13.0ms	y
8.0ms	x
8.0ms	(.f64 (.f64 x y) y)
7.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
69.5%	2	`x`
71.3%	2	`y`
75.4%	3	`(exp.f64 (.f64 (.f64 x y) y))`
75.4%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes44.0ms (0.1%)

Memory

-18.0MiB live, 19.5MiB allocated

Counts

24 → 5

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

Calls

3 calls:

31.0ms	y
6.0ms	(.f64 (.f64 x y) y)
6.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
72.0%	3	`y`
72.2%	3	`(exp.f64 (.f64 (.f64 x y) y))`
75.7%	5	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes46.0ms (0.2%)

Memory

-3.0MiB live, 36.6MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (exp 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)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.4%	3	`y`
70.2%	3	`(exp.f64 (.f64 (.f64 x y) y))`
72.4%	4	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes7.0ms (0%)

Memory

19.4MiB live, 19.3MiB allocated

Counts

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
71.4%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes22.0ms (0.1%)

Memory

-14.0MiB live, 32.2MiB allocated

Counts

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

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

3 calls:

10.0ms	x
5.0ms	y
5.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
72.4%	4	`(.f64 (.f64 x y) y)`
64.6%	1	`x`
70.6%	3	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes11.0ms (0%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
70.6%	3	`y`
70.2%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes14.0ms (0%)

Memory

-15.7MiB live, 21.2MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

8.0ms	y
5.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
70.2%	3	`(.f64 (.f64 x y) y)`
70.0%	3	`y`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes11.0ms (0%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.4%	2	`y`
69.8%	3	`(exp.f64 (.f64 (.f64 x y) y))`
69.8%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes15.0ms (0.1%)

Memory

-5.0MiB live, 30.6MiB allocated

Counts

9 → 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 y)) (+.f64 (*.f64 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 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 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:

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

Results

Accuracy	Segments	Branch
57.8%	2	`x`
67.6%	3	`y`
66.4%	3	`(.f64 (.f64 x y) y)`
66.4%	3	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes11.0ms (0%)

Memory

-15.0MiB live, 22.2MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.6%	3	`(exp.f64 (.f64 (.f64 x y) y))`
63.6%	3	`(.f64 (.f64 x y) y)`
58.6%	2	`y`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes8.0ms (0%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

7 → 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)))
#s(approx (exp (* x y)) (+.f64 (*.f64 x y) #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
3.0ms	(.f64 (.f64 x y) y)
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
57.7%	2	`y`
57.9%	2	`(exp.f64 (.f64 (.f64 x y) y))`
57.9%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes4.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y))
#s(approx (exp 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
57.9%	2	`(exp.f64 (.f64 (.f64 x y) y))`
57.9%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes8.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Accuracy

Total -16.4b remaining (-53.2%)

Threshold costs -16.4b (-53.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.8%	1	`y`
51.8%	1	`x`
51.8%	1	`(exp.f64 (.f64 (.f64 x y) y))`
51.8%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.1008170466185578e+58	1.8809558919920144e+65
0.0ms	1058477.1220003664	10778190503372140.0
0.0ms	-1.3950739144667506	-6.512752704950361e-9

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.1008170466185578e+58	1.8809558919920144e+65
0.0ms	1058477.1220003664	10778190503372140.0
0.0ms	-1.3950739144667506	-6.512752704950361e-9

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1058477.1220003664	10778190503372140.0
0.0ms	-1.3950739144667506	-6.512752704950361e-9

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1058477.1220003664	10778190503372140.0
0.0ms	-1.3950739144667506	-6.512752704950361e-9

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.3807788522771588e+176	2.681833496194784e+192
0.0ms	1.1008170466185578e+58	1.8809558919920144e+65
0.0ms	1058477.1220003664	10778190503372140.0
0.0ms	-1.3950739144667506	-6.512752704950361e-9

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch32.0ms (0.1%)

Memory

-35.4MiB live, 16.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.28852050753646e+110	8.272740169250542e+113
19.0ms	2.045849123825899e-36	4.3385059333522414e-33

Samples

11.0ms

256×

valid

Compiler

Compiled 321 to 306 computations (4.7% saved)

Precisions

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

ival-mult: 3.0ms (53.8% of total)

ival-exp: 2.0ms (35.9% of total)

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

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

bsearch2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.28852050753646e+110	8.272740169250542e+113
1.0ms	2.045849123825899e-36	4.3385059333522414e-33

Compiler

Compiled 305 to 306 computations (-0.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.1008170466185578e+58	1.8809558919920144e+65
0.0ms	1058477.1220003664	10778190503372140.0
0.0ms	-1.3950739144667506	-6.512752704950361e-9

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch11.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.28852050753646e+110	8.272740169250542e+113
9.0ms	2.045849123825899e-36	4.3385059333522414e-33

Samples

5.0ms

112×

valid

Compiler

Compiled 273 to 274 computations (-0.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (41.9% of total)

ival-mult: 1.0ms (41.9% of total)

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

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

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	10778190503372140.0	4.088692863750231e+34
0.0ms	-1.3950739144667506	-6.512752704950361e-9

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000045428691413	+inf
0.0ms	0.0	6.097298847649863e-16

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch24.0ms (0.1%)

Memory

-5.2MiB live, 32.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.7995149604919736e+157	1.0497862456933163e+162
10.0ms	3.1923873990832404e+56	4.288430353202819e+59

Samples

13.0ms

256×

valid

Compiler

Compiled 201 to 250 computations (-24.4% saved)

Precisions

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

ival-mult: 3.0ms (52.3% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1058477.1220003664	10778190503372140.0
0.0ms	-1.85174144505549e+56	-35.03351562665627

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	4.542858822512107e-6	1058477.1220003664

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1058477.1220003664	10778190503372140.0

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify33.0ms (0.1%)

Memory

-12.2MiB live, 59.6MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`-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	163	967
1	184	967

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1 binary64)) (exp.f64 (.f64 x y)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 2000000 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 19999999999999998876238979948827261631594308857026393931776 binary64)) (exp.f64 x) (exp.f64 y))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 2000000 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 19999999999999998876238979948827261631594308857026393931776 binary64)) (exp.f64 x) (exp.f64 y))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 2000000 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 -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 2000000 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 -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 2000000 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 19999999999999998876238979948827261631594308857026393931776 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))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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)) #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))))))))
(if (<=.f64 y #s(literal 1730417938599789/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 340000000000000014688544442070730990789283982099190191597621895715755673363000013527861826005934552310943318016 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) #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)))))
(if (<=.f64 y #s(literal 1730417938599789/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 340000000000000014688544442070730990789283982099190191597621895715755673363000013527861826005934552310943318016 binary64)) #s(approx (exp x) (fma.f64 #s(approx (+ ( (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) x #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)))))
(if (<=.f64 (.f64 (.f64 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 2000000 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 19999999999999998876238979948827261631594308857026393931776 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 y #s(literal 5612166287350667/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 340000000000000014688544442070730990789283982099190191597621895715755673363000013527861826005934552310943318016 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) #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)))))
(if (<=.f64 (.f64 (.f64 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 20000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))))
(if (<=.f64 y #s(literal 71999999999999999299572107595371613104097252782549244051456 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 47999999999999999201240650713202642298897869200838585745616365494102484040048602617510938093405059604059394640529429043241656352711899539206344497775652110336 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 -100000000000000009190283508143378238084034459715684532224 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 2000000 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 5902958103587057/1180591620717411303424 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 2000000 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 -1 binary64)) (exp.f64 (.f64 x y)) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 2000000 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 19999999999999998876238979948827261631594308857026393931776 binary64)) (exp.f64 x) (exp.f64 y))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -1 binary64)) (exp.f64 (.f64 y x)) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 2000000 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 19999999999999998876238979948827261631594308857026393931776 binary64)) (exp.f64 x) (exp.f64 y))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 2000000 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 19999999999999998876238979948827261631594308857026393931776 binary64)) (exp.f64 x) (exp.f64 y))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -1 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 2000000 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 19999999999999998876238979948827261631594308857026393931776 binary64)) (exp.f64 x) (exp.f64 y))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -1 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 2000000 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 -1 binary64)) (exp.f64 x) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 2000000 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 -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 2000000 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 -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 y x) y) #s(literal 2000000 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 -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 2000000 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 19999999999999998876238979948827261631594308857026393931776 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))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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)) #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))))))))
(if (<=.f64 (.f64 (.f64 y x) 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 y x) y) #s(literal 2000000 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 19999999999999998876238979948827261631594308857026393931776 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))) (if (<=.f64 (.f64 (.f64 y x) y) #s(literal 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 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)) #s(approx (+ (* (+ (* (* (* y y) (+ (* (* 1/6 y) x) 1/2)) x) y) x) 1) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) y) y))))))))
(if (<=.f64 y #s(literal 1730417938599789/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 340000000000000014688544442070730990789283982099190191597621895715755673363000013527861826005934552310943318016 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) #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)))))
(if (<=.f64 y #s(literal 1730417938599789/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 340000000000000014688544442070730990789283982099190191597621895715755673363000013527861826005934552310943318016 binary64)) #s(approx (exp x) (fma.f64 #s(approx (+ ( (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) x #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)))))
(if (<=.f64 y #s(literal 1730417938599789/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 340000000000000014688544442070730990789283982099190191597621895715755673363000013527861826005934552310943318016 binary64)) #s(approx (exp x) (fma.f64 #s(approx (+ ( (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x #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)))))
(if (<=.f64 (.f64 (.f64 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 2000000 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 19999999999999998876238979948827261631594308857026393931776 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 -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 y x) y) #s(literal 2000000 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 19999999999999998876238979948827261631594308857026393931776 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 y #s(literal 5612166287350667/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 340000000000000014688544442070730990789283982099190191597621895715755673363000013527861826005934552310943318016 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) #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)))))
(if (<=.f64 (.f64 (.f64 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 20000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))))
(if (<=.f64 (.f64 (.f64 y x) y) #s(literal -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 y x) y) #s(literal 20000000000000000 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (.f64 y x) y #s(literal 1 binary64))) #s(approx (exp ( (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 0 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))))
(if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 0 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) (if (<=.f64 (exp.f64 (.f64 (.f64 y x) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (.f64 (.f64 y y) x)))))
(if (<=.f64 y #s(literal 71999999999999999299572107595371613104097252782549244051456 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 47999999999999999201240650713202642298897869200838585745616365494102484040048602617510938093405059604059394640529429043241656352711899539206344497775652110336 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 y #s(literal 71999999999999999299572107595371613104097252782549244051456 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 47999999999999999201240650713202642298897869200838585745616365494102484040048602617510938093405059604059394640529429043241656352711899539206344497775652110336 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 -100000000000000009190283508143378238084034459715684532224 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 2000000 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 -100000000000000009190283508143378238084034459715684532224 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 2000000 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 5902958103587057/1180591620717411303424 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 5902958103587057/1180591620717411303424 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 2000000 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 2000000 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))))
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64))

soundness25.7s (84.4%)

Memory

9.7MiB live, 1 180.4MiB 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 830 to 400 computations (51.8% saved)

preprocess135.0ms (0.4%)

Memory: 10.0MiB live, 163.5MiB allocated
Remove: (abs y)
Compiler: Compiled 1 182 to 286 computations (75.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample924.0ms (3%)

explain66.0ms (0.2%)

preprocess25.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize23.0ms (0.1%)

series7.0ms (0%)

simplify149.0ms (0.5%)

rewrite53.0ms (0.2%)

eval9.0ms (0%)

prune6.0ms (0%)

simplify6.0ms (0%)

localize36.0ms (0.1%)

series17.0ms (0.1%)

simplify430.0ms (1.4%)

rewrite394.0ms (1.3%)

eval49.0ms (0.2%)

prune18.0ms (0.1%)

simplify17.0ms (0.1%)

localize98.0ms (0.3%)

series14.0ms (0%)

simplify238.0ms (0.8%)

rewrite307.0ms (1%)

eval111.0ms (0.4%)

prune61.0ms (0.2%)

simplify69.0ms (0.2%)

localize188.0ms (0.6%)

series24.0ms (0.1%)

simplify200.0ms (0.7%)

rewrite377.0ms (1.2%)

eval156.0ms (0.5%)

prune33.0ms (0.1%)

regimes45.0ms (0.1%)

regimes47.0ms (0.2%)

regimes40.0ms (0.1%)

regimes13.0ms (0%)

regimes38.0ms (0.1%)

regimes44.0ms (0.1%)

regimes46.0ms (0.2%)

regimes7.0ms (0%)

regimes22.0ms (0.1%)

regimes11.0ms (0%)

regimes14.0ms (0%)

regimes11.0ms (0%)

regimes15.0ms (0.1%)

regimes11.0ms (0%)

regimes8.0ms (0%)

regimes4.0ms (0%)

regimes8.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch32.0ms (0.1%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch11.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch24.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify33.0ms (0.1%)

soundness25.7s (84.4%)

preprocess135.0ms (0.4%)

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