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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample529.0ms (1.6%)

Memory

32.7MiB live, 1 391.9MiB allocated

Samples

377.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult: 107.0ms (54.3% of total)

ival-exp: 81.0ms (41.1% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

preprocess28.0ms (0.1%)

Memory

-7.5MiB live, 70.2MiB allocated

Algorithm

2×	egg-herbie

Rules

260×	`exp-prod`
108×	`associate-r`
104×	`exp-sum`
64×	`unsub-neg`
56×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	57	40
2	127	40
3	293	40
4	495	40
5	645	40
6	715	40
7	724	40
0	5	6
1	11	6
2	18	6
3	20	6
4	21	6
0	21	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(exp (* (* x y) y))

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

Call 2

Inputs
(exp (* (* x y) y))
(exp (* (* (neg x) y) y))
(exp (* (* x (neg y)) (neg y)))
(neg (exp (* (* (neg x) y) y)))
(neg (exp (* (* x (neg y)) (neg y))))
(exp (* (* y x) x))

Outputs
(exp (* (* x y) y))
(pow (pow (exp x) y) y)
(exp (* (* (neg x) y) y))
(pow (pow (exp x) y) (neg y))
(exp (* (* x (neg y)) (neg y)))
(pow (pow (exp x) y) y)
(neg (exp (* (* (neg x) y) y)))
(/ -1 (pow (pow (exp x) y) y))
(neg (exp (* (* x (neg y)) (neg y))))
(neg (pow (pow (exp x) y) y))
(exp (* (* y x) x))
(pow (pow (exp x) y) x)

Symmetry

(abs y)

explain57.0ms (0.2%)

Memory

9.2MiB live, 169.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

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

ival-mult: 7.0ms (64.4% of total)

ival-exp: 3.0ms (27.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify5.0ms (0%)

Memory

-29.9MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(.f64 (.f64 x y) y)
✓	cost-diff	(exp.f64 (.f64 (.f64 x y) y))

Rules

14×	`pow-lowering-pow.f64`
14×	`pow-lowering-pow.f32`
14×	`exp-prod`
14×	`-lowering-.f32`
14×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
1	11	16
2	18	16
3	20	16
4	21	16
0	21	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(exp (* (* x y) y))
(* (* x y) y)
(* x y)
x
y

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

localize18.0ms (0.1%)

Memory

9.7MiB live, 50.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	accuracy	99.8%	(.f64 (.f64 x y) y)

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-mult: 3.0ms (58% of total)

ival-exp: 2.0ms (38.7% of total)

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

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

series5.0ms (0%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (exp (* (* x y) y))>
#<alt (* (* x y) y)>
#<alt (* x y)>

Outputs
#<alt 1>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))>
#<alt (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))>
#<alt (exp (* x (pow y 2)))>
#<alt (exp (* x (pow y 2)))>
#<alt (exp (* x (pow y 2)))>
#<alt (exp (* x (pow y 2)))>
#<alt (exp (* x (pow y 2)))>
#<alt (exp (* x (pow y 2)))>
#<alt (exp (* x (pow y 2)))>
#<alt (exp (* x (pow y 2)))>
#<alt 1>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))>
#<alt (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* x (pow y 2)))>
#<alt (exp (* x (pow y 2)))>
#<alt (exp (* x (pow y 2)))>
#<alt (exp (* x (pow y 2)))>
#<alt (exp (* x (pow y 2)))>
#<alt (exp (* x (pow y 2)))>
#<alt (exp (* x (pow y 2)))>
#<alt (exp (* x (pow y 2)))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* x y)
0.0ms	x	@	0	(* (* x y) y)
0.0ms	x	@	inf	(* (* x y) y)
0.0ms	x	@	0	(exp (* (* x y) y))
0.0ms	y	@	0	(* (* x y) y)

rewrite38.0ms (0.1%)

Memory

-15.8MiB live, 62.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	16
1	11	16
2	26	16
3	89	16
4	479	3
5	3871	3
0	9032	3

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 7

Calls

Call 1

Inputs
(exp (* (* x y) y))
(* (* x y) y)
(* x y)

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

simplify215.0ms (0.6%)

Memory

19.4MiB live, 259.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 254×	`accelerator-lowering-fma.f32`
4 254×	`accelerator-lowering-fma.f64`
3 168×	`associate-r`
2 634×	`-lowering-.f32`
2 634×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	380
1	120	380
2	329	380
3	810	380
4	1104	380
5	1231	380
6	1311	380
7	1334	380
8	1348	380
9	2635	380
10	3226	380
11	4017	380
12	4965	380
13	4986	380
14	4986	380
15	5212	380
16	5212	380
17	5212	380
18	5212	380
19	6612	380
20	6612	380
0	6612	368

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

Inputs
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))))
(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)))
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)))))))
(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 (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* 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)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

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

eval10.0ms (0%)

Memory: -19.9MiB live, 18.2MiB allocated
Compiler: Compiled 493 to 27 computations (94.5% saved)

prune6.0ms (0%)

Memory

18.7MiB live, 18.7MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	72	7	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	8	80

Accuracy

100.0%

Counts

80 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.2%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	70.1%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	66.2%	(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	89.5%	(exp.f64 (*.f64 x y))
	65.7%	(exp.f64 y)
	66.0%	(exp.f64 x)
▶	51.6%	#s(literal 1 binary64)

Compiler

Compiled 140 to 81 computations (42.1% saved)

simplify318.0ms (0.9%)

Memory

-25.7MiB live, 248.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

5 344×	`accelerator-lowering-fma.f32`
5 344×	`accelerator-lowering-fma.f64`
2 856×	`associate-r`
2 788×	`-lowering-.f32`
2 788×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	135
1	70	135
2	263	135
3	1002	131
4	1554	131
5	2400	131
6	4085	131
7	4192	131
8	4356	131
9	4362	131
10	4362	131
11	5686	131
12	5787	131
13	5901	131
14	5975	131
15	5975	131
16	5975	131
17	6503	131
18	7070	131
19	7122	131
20	7125	131
21	7125	131
22	7141	131
23	7142	131
0	8581	121

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize76.0ms (0.2%)

Memory

36.8MiB live, 109.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(.f64 (.f64 y y) #s(literal 1/6 binary64))
✓	accuracy	93.0%	(fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	87.8%	(.f64 x (.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	93.0%	(fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	87.8%	(.f64 x (.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	93.0%	(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(exp.f64 (*.f64 x y))

Samples

45.0ms

256×

valid

Compiler

Compiled 127 to 24 computations (81.1% saved)

Precisions

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

ival-mult: 19.0ms (60.8% of total)

ival-add: 6.0ms (19.2% of total)

const: 3.0ms (9.6% of total)

ival-exp: 2.0ms (6.4% 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

-19.7MiB live, 17.8MiB allocated

Counts

11 → 240

Calls

Call 1

Inputs
#<alt (exp (* x y))>
#<alt (* x y)>
#<alt (+ (* x (* y y)) 1)>
#<alt (* y y)>
#<alt (+ (* (* x (* y y)) (+ (* x (* (* y y) 1/2)) 1)) 1)>
#<alt (* x (* y y))>
#<alt (+ (* x (* (* y y) 1/2)) 1)>
#<alt (+ (* (* x (* y y)) (+ (* (* x (* y y)) (+ (* x (* (* y y) 1/6)) 1/2)) 1)) 1)>
#<alt (+ (* (* x (* y y)) (+ (* x (* (* y y) 1/6)) 1/2)) 1)>
#<alt (+ (* x (* (* y y) 1/6)) 1/2)>
#<alt (* (* y y) 1/6)>

Outputs
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x (+ y (* 1/2 (* x (pow y 2))))))>
#<alt (+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))))>
#<alt (exp (* x y))>
#<alt (exp (* x y))>
#<alt (exp (* x y))>
#<alt (exp (* x y))>
#<alt (exp (* x y))>
#<alt (exp (* x y))>
#<alt (exp (* x y))>
#<alt (exp (* x y))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))>
#<alt (+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))>
#<alt (exp (* x y))>
#<alt (exp (* x y))>
#<alt (exp (* x y))>
#<alt (exp (* x y))>
#<alt (exp (* x y))>
#<alt (exp (* x y))>
#<alt (exp (* x y))>
#<alt (exp (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt 1>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (* x (pow y 2))>
#<alt (* x (+ (/ 1 x) (pow y 2)))>
#<alt (* x (+ (/ 1 x) (pow y 2)))>
#<alt (* x (+ (/ 1 x) (pow y 2)))>
#<alt (* x (pow y 2))>
#<alt (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ x (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ x (/ 1 (pow y 2))))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ x (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ x (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt 1>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow y 4)) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow y 4)) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))))>
#<alt 1>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))>
#<alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* (pow y 4) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))>
#<alt (* (pow y 4) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 4)) (/ x (pow y 2)))))>
#<alt (* (pow y 4) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 4)) (/ x (pow y 2)))))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* (pow y 4) (+ (* 1/2 (pow x 2)) (/ x (pow y 2))))>
#<alt (* (pow y 4) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 4)) (/ x (pow y 2)))))>
#<alt (* (pow y 4) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 4)) (/ x (pow y 2)))))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (pow y 2))))>
#<alt (+ 1 (* 1/2 (* x (pow y 2))))>
#<alt (+ 1 (* 1/2 (* x (pow y 2))))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* x (+ (* 1/2 (pow y 2)) (/ 1 x)))>
#<alt (* x (+ (* 1/2 (pow y 2)) (/ 1 x)))>
#<alt (* x (+ (* 1/2 (pow y 2)) (/ 1 x)))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* -1 (* x (- (* -1/2 (pow y 2)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 (pow y 2)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 (pow y 2)) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (pow y 2))))>
#<alt (+ 1 (* 1/2 (* x (pow y 2))))>
#<alt (+ 1 (* 1/2 (* x (pow y 2))))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* 1/2 x) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/2 x) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/2 x) (/ 1 (pow y 2))))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* 1/2 x) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/2 x) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ (* 1/2 x) (/ 1 (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))>
#<alt (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))>
#<alt (* 1/6 (* (pow x 3) (pow y 6)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 6)) (* 1/2 (/ (pow y 4) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (* 1/2 (/ (pow y 4) x)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2))))))>
#<alt (* 1/6 (* (pow x 3) (pow y 6)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 4) x)) (* -1/6 (pow y 6)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 4)) (/ (pow y 2) x)) x)) (* -1/6 (pow y 6)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (pow y 2)) (/ 1 x)) x)) (* 1/2 (pow y 4))) x)) (* -1/6 (pow y 6)))))>
#<alt 1>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))>
#<alt (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))>
#<alt (* 1/6 (* (pow x 3) (pow y 6)))>
#<alt (* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))>
#<alt (* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4))))))>
#<alt (* 1/6 (* (pow x 3) (pow y 6)))>
#<alt (* (pow y 6) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x (pow y 4)))))>
#<alt (* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (pow y 2))))>
#<alt (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2)))))>
#<alt (+ 1 (* x (+ (* 1/6 (* x (pow y 4))) (* 1/2 (pow y 2)))))>
#<alt (* 1/6 (* (pow x 2) (pow y 4)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (* (pow x 2) (pow y 4)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 (pow y 2)) (/ 1 x)) x)) (* 1/6 (pow y 4))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 (pow y 2)) (/ 1 x)) x)) (* 1/6 (pow y 4))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (pow y 2))))>
#<alt (+ 1 (* (pow y 2) (+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x))))>
#<alt (+ 1 (* (pow y 2) (+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x))))>
#<alt (* 1/6 (* (pow x 2) (pow y 4)))>
#<alt (* (pow y 4) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2)))))>
#<alt (* (pow y 4) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* 1/6 (* (pow x 2) (pow y 4)))>
#<alt (* (pow y 4) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2)))))>
#<alt (* (pow y 4) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x (pow y 2))) (/ 1 (pow y 4)))))>
#<alt (* (pow y 4) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x (pow y 2))) (/ 1 (pow y 4)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* x (pow y 2))))>
#<alt (+ 1/2 (* 1/6 (* x (pow y 2))))>
#<alt (+ 1/2 (* 1/6 (* x (pow y 2))))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* -1 (* x (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* x (pow y 2))))>
#<alt (+ 1/2 (* 1/6 (* x (pow y 2))))>
#<alt (+ 1/2 (* 1/6 (* x (pow y 2))))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>

Calls

60 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(+ (* (* x (* y y)) (+ (* (* x (* y y)) (+ (* x (* (* y y) 1/6)) 1/2)) 1)) 1)
1.0ms	y	@	0	(+ (* x (* (* y y) 1/2)) 1)
1.0ms	y	@	inf	(+ (* (* x (* y y)) (+ (* x (* (* y y) 1/2)) 1)) 1)
0.0ms	x	@	-inf	(+ (* (* x (* y y)) (+ (* x (* (* y y) 1/2)) 1)) 1)
0.0ms	x	@	-inf	(+ (* (* x (* y y)) (+ (* (* x (* y y)) (+ (* x (* (* y y) 1/6)) 1/2)) 1)) 1)

rewrite506.0ms (1.5%)

Memory

-3.0MiB live, 714.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 836×	`accelerator-lowering-fma.f32`
11 836×	`accelerator-lowering-fma.f64`
5 418×	`-lowering-.f32`
5 418×	`-lowering-.f64`
3 880×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	104
1	138	104
2	1232	104
0	8350	94

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 382

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) x))
(pow.f64 (exp.f64 x) y)
(pow.f64 (exp.f64 x) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (.f64 y #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 y) x)
(pow.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 y #s(literal 1/2 binary64)))
(.f64 (exp.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (exp.f64 (.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 x #s(literal 2 binary64))))
(*.f64 x y)
(*.f64 y x)
(.f64 #s(literal 1 binary64) (.f64 x y))
(+.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))
(+.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (fma.f64 x (.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (fma.f64 x (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)))) (/.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 y y)))))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(fma.f64 y (*.f64 x y) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
(fma.f64 (*.f64 y y) x #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (*.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x (.f64 y y)) #s(literal 9 binary64)) #s(literal 1/10077696 binary64) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y))))) (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y))))) #s(literal 1/1728 binary64)))) (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 y y)) #s(literal 1/12 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y))))) (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y))))) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (*.f64 y y)) #s(literal 1/12 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y))))) (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y))))) #s(literal 1/1296 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/144 binary64)))) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y))))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y))))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 y y)) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (*.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x (*.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (*.f64 y y)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 x (*.f64 y y)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y))))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (*.f64 y y)) #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y))))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (*.f64 y y)) #s(literal 1/12 binary64)))))))
(.f64 (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y))))) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (*.f64 y y)) #s(literal 1/12 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 y y)))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y y))))))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal 1/6 binary64)) y)

simplify889.0ms (2.6%)

Memory

14.5MiB live, 895.4MiB allocated

Algorithm

1×	egg-herbie

Rules

22 282×	`accelerator-lowering-fma.f32`
22 282×	`accelerator-lowering-fma.f64`
4 712×	`-lowering-.f32`
4 712×	`-lowering-.f64`
3 042×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	2012
1	635	2009
2	1876	1986
3	3864	1960
0	8300	1798

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* x y))
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(+ 1 (* x (+ y (* 1/2 (* x (pow y 2))))))
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(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/6 (* (pow x 2) (pow y 4)))
(.f64 x (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (*.f64 y y)) #s(literal 0 binary64))))
(* (pow x 2) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/6 (pow y 4)) (+ (* 1/2 (/ (pow y 2) x)) (/ 1 (pow x 2)))))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/6 (* (pow x 2) (pow y 4)))
(.f64 x (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (*.f64 y y)) #s(literal 0 binary64))))
(* (pow x 2) (+ (* 1/6 (pow y 4)) (* 1/2 (/ (pow y 2) x))))
(.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (pow y 2)) (/ 1 x)) x)) (* 1/6 (pow y 4))))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (pow y 2)) (/ 1 x)) x)) (* 1/6 (pow y 4))))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (pow y 2))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 y y)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x))))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ (* 1/6 (* (pow x 2) (pow y 2))) (* 1/2 x))))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/6 (* (pow x 2) (pow y 4)))
(.f64 x (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (*.f64 y y)) #s(literal 0 binary64))))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2)))))
(.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (.f64 x #s(literal 1/2 binary64))))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/6 (* (pow x 2) (pow y 4)))
(.f64 x (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (*.f64 y y)) #s(literal 0 binary64))))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x (pow y 2)))))
(.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (.f64 x #s(literal 1/2 binary64))))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/6 binary64) (.f64 y (.f64 x (.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* x (pow y 2))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* x (pow y 2))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* x (pow y 2))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ 1 x))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* -1 (* x (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/6 (pow y 2)) (* 1/2 (/ 1 x)))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* x (pow y 2))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* x (pow y 2))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* x (pow y 2))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ 1 (pow y 2)))))
(fma.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))

eval371.0ms (1.1%)

Memory: -227.8MiB live, 197.2MiB allocated
Compiler: Compiled 25 834 to 1 399 computations (94.6% saved)

prune71.0ms (0.2%)

Memory

-2.2MiB live, 203.9MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	773	9	782
Fresh	1	1	2
Picked	1	4	5
Done	0	1	1
Total	775	15	790

Accuracy

100.0%

Counts

790 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.2%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	72.1%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	70.1%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
	69.6%	(fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1 binary64))
▶	63.7%	(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
	58.4%	(fma.f64 y (fma.f64 y (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
▶	66.6%	(fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
	62.2%	(fma.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))
▶	52.3%	(fma.f64 x y #s(literal 1 binary64))
	17.5%	(.f64 x (.f64 y y))
▶	24.6%	(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	89.5%	(exp.f64 (*.f64 x y))
	66.0%	(exp.f64 x)
✓	51.6%	#s(literal 1 binary64)

Compiler

Compiled 322 to 184 computations (42.9% saved)

simplify169.0ms (0.5%)

Memory

21.4MiB live, 142.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	(fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y)
✓	cost-diff	(fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
✓	cost-diff	(.f64 (.f64 y y) (*.f64 y y))
✓	cost-diff	(.f64 x (.f64 (.f64 y y) (.f64 y y)))
✓	cost-diff	(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (*.f64 y y))))
✓	cost-diff	(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
✓	cost-diff	(fma.f64 x y #s(literal 1 binary64))
✓	cost-diff	(fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64))
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(.f64 x (.f64 y y))
✓	cost-diff	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))

Rules

2 726×	`accelerator-lowering-fma.f32`
2 726×	`accelerator-lowering-fma.f64`
2 394×	`-lowering-.f32`
2 394×	`-lowering-.f64`
2 386×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	195
1	95	183
2	342	171
3	1162	169
4	1729	169
5	2242	169
6	2890	169
7	3423	169
8	3525	169
9	3525	169
10	3525	169
11	3525	169
12	4572	169
13	4575	169
14	4576	169
15	4670	169
16	4670	169
17	4859	169
0	4859	157

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (* x (* y y)) (+ (* (* x (* y y)) (* x (* y (* y 1/6)))) 1)) 1)
(* x (* y y))
x
(* y y)
y
(+ (* (* x (* y y)) (* x (* y (* y 1/6)))) 1)
(* x (* y (* y 1/6)))
(* y (* y 1/6))
(* y 1/6)
1/6
1
(+ (* x y) 1)
x
y
1
(+ (* (* x y) y) 1)
(* x y)
x
y
1
(* x (* 1/2 (* x (* (* y y) (* y y)))))
x
(* 1/2 (* x (* (* y y) (* y y))))
1/2
(* x (* (* y y) (* y y)))
(* (* y y) (* y y))
(* y y)
y
(+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1)
x
(+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)
(* (* y y) (+ (* y (* x 1/6)) 1/2))
(* y y)
y
(+ (* y (* x 1/6)) 1/2)
(* x 1/6)
1/6
1/2
1

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

localize107.0ms (0.3%)

Memory

-26.9MiB live, 165.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.0%	(.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	97.7%	(fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
✓	accuracy	92.6%	(fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (*.f64 y y))))
✓	accuracy	99.8%	(.f64 (.f64 y y) (*.f64 y y))
✓	accuracy	94.7%	(.f64 x (.f64 (.f64 y y) (.f64 y y)))
✓	accuracy	93.1%	(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x y #s(literal 1 binary64))
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	87.8%	(.f64 x (.f64 y y))
✓	accuracy	87.8%	(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))

Samples

70.0ms

256×

valid

Compiler

Compiled 185 to 32 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 38.0ms (71.8% of total)

ival-add: 10.0ms (18.9% of total)

const: 4.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.1%)

Memory

6.1MiB live, 44.2MiB allocated

Counts

18 → 372

Calls

Call 1

Inputs
#<alt (+ (* (* x (* y y)) (+ (* (* x (* y y)) (* x (* y (* y 1/6)))) 1)) 1)>
#<alt (* x (* y y))>
#<alt (* y y)>
#<alt (+ (* (* x (* y y)) (* x (* y (* y 1/6)))) 1)>
#<alt (+ (* x y) 1)>
#<alt (+ (* (* x y) y) 1)>
#<alt (* x y)>
#<alt (* x (* 1/2 (* x (* (* y y) (* y y)))))>
#<alt (* 1/2 (* x (* (* y y) (* y y))))>
#<alt (* x (* (* y y) (* y y)))>
#<alt (* (* y y) (* y y))>
#<alt (+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1)>
#<alt (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)>
#<alt (* (* y y) (+ (* y (* x 1/6)) 1/2))>
#<alt (* x (* y (* y 1/6)))>
#<alt (* y 1/6)>
#<alt (* y (* y 1/6))>
#<alt (* x 1/6)>

Outputs
#<alt 1>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow x 2) (pow y 6))) (pow y 2))))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow x 2) (pow y 6))) (pow y 2))))>
#<alt (* 1/6 (* (pow x 3) (pow y 6)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 6)) (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2)))))>
#<alt (* 1/6 (* (pow x 3) (pow y 6)))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 6)))))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 6))) (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 6))) (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ x (* 1/6 (* (pow x 3) (pow y 4))))))>
#<alt (+ 1 (* (pow y 2) (+ x (* 1/6 (* (pow x 3) (pow y 4))))))>
#<alt (* 1/6 (* (pow x 3) (pow y 6)))>
#<alt (* (pow y 6) (+ (* 1/6 (pow x 3)) (/ x (pow y 4))))>
#<alt (* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (/ 1 (pow y 6)) (/ x (pow y 4)))))>
#<alt (* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (/ 1 (pow y 6)) (/ x (pow y 4)))))>
#<alt (* 1/6 (* (pow x 3) (pow y 6)))>
#<alt (* (pow y 6) (+ (* 1/6 (pow x 3)) (/ x (pow y 4))))>
#<alt (* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (/ 1 (pow y 6)) (/ x (pow y 4)))))>
#<alt (* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (/ 1 (pow y 6)) (/ x (pow y 4)))))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt 1>
#<alt (+ 1 (* 1/6 (* (pow x 2) (pow y 4))))>
#<alt (+ 1 (* 1/6 (* (pow x 2) (pow y 4))))>
#<alt (+ 1 (* 1/6 (* (pow x 2) (pow y 4))))>
#<alt (* 1/6 (* (pow x 2) (pow y 4)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 4)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 4)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 4)) (/ 1 (pow x 2))))>
#<alt (* 1/6 (* (pow x 2) (pow y 4)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 4)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 4)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 4)) (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (* (pow x 2) (pow y 4))))>
#<alt (+ 1 (* 1/6 (* (pow x 2) (pow y 4))))>
#<alt (+ 1 (* 1/6 (* (pow x 2) (pow y 4))))>
#<alt (* 1/6 (* (pow x 2) (pow y 4)))>
#<alt (* (pow y 4) (+ (* 1/6 (pow x 2)) (/ 1 (pow y 4))))>
#<alt (* (pow y 4) (+ (* 1/6 (pow x 2)) (/ 1 (pow y 4))))>
#<alt (* (pow y 4) (+ (* 1/6 (pow x 2)) (/ 1 (pow y 4))))>
#<alt (* 1/6 (* (pow x 2) (pow y 4)))>
#<alt (* (pow y 4) (+ (* 1/6 (pow x 2)) (/ 1 (pow y 4))))>
#<alt (* (pow y 4) (+ (* 1/6 (pow x 2)) (/ 1 (pow y 4))))>
#<alt (* (pow y 4) (+ (* 1/6 (pow x 2)) (/ 1 (pow y 4))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* x y)>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (* x (pow y 2))>
#<alt (* x (+ (/ 1 x) (pow y 2)))>
#<alt (* x (+ (/ 1 x) (pow y 2)))>
#<alt (* x (+ (/ 1 x) (pow y 2)))>
#<alt (* x (pow y 2))>
#<alt (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (+ 1 (* x (pow y 2)))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ x (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ x (/ 1 (pow y 2))))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ x (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ x (/ 1 (pow y 2))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (* x (pow y 4))>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x (+ y (* 1/2 (* x (pow y 2))))))>
#<alt (+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))))>
#<alt (* 1/6 (* (pow x 3) (pow y 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ y (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (+ (/ 1 (pow x 3)) (/ y (pow x 2))))))>
#<alt (* 1/6 (* (pow x 3) (pow y 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ y x)) x)) (* -1/6 (pow y 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 3)))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))>
#<alt (+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))>
#<alt (* 1/6 (* (pow x 3) (pow y 3)))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))>
#<alt (* 1/6 (* (pow x 3) (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x y)) y)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (* 1/2 (pow x 2))) y)) (* -1/6 (pow x 3)))))>
#<alt y>
#<alt (+ y (* 1/2 (* x (pow y 2))))>
#<alt (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (* 1/6 (* (pow x 2) (pow y 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ y (pow x 2)))))>
#<alt (* 1/6 (* (pow x 2) (pow y 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (pow y 2))) x)) (* 1/6 (pow y 3))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (pow y 2))) x)) (* 1/6 (pow y 3))))>
#<alt y>
#<alt (* y (+ 1 (* 1/2 (* x y))))>
#<alt (* y (+ 1 (* y (+ (* 1/6 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (+ (* 1/6 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* 1/6 (* (pow x 2) (pow y 3)))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x y))))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x y)) (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x y)) (/ 1 (pow y 2)))))>
#<alt (* 1/6 (* (pow x 2) (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 y)) y)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 y)) y)) (* -1/6 (pow x 2)))))>
#<alt (* 1/2 (pow y 2))>
#<alt (* (pow y 2) (+ 1/2 (* 1/6 (* x y))))>
#<alt (* (pow y 2) (+ 1/2 (* 1/6 (* x y))))>
#<alt (* (pow y 2) (+ 1/2 (* 1/6 (* x y))))>
#<alt (* 1/6 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ 1 y))))>
#<alt (* 1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (- (* -1/6 x) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (- (* -1/6 x) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (- (* -1/6 x) (* 1/2 (/ 1 y)))))>
#<alt (* 1/2 (pow y 2))>
#<alt (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))>
#<alt (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))>
#<alt (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))>
#<alt (* 1/6 (* x (pow y 3)))>
#<alt (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* 1/6 (* x (pow y 3)))>
#<alt (* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))>
#<alt (* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))>
#<alt (* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 (* x (pow y 2)))>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 (pow y 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>

Calls

93 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* x (* 1/2 (* x (* (* y y) (* y y)))))
2.0ms	x	@	0	(* x 1/6)
1.0ms	y	@	inf	(+ (* (* x (* y y)) (+ (* (* x (* y y)) (* x (* y (* y 1/6)))) 1)) 1)
1.0ms	x	@	inf	(+ (* (* x (* y y)) (+ (* (* x (* y y)) (* x (* y (* y 1/6)))) 1)) 1)
0.0ms	x	@	0	(+ (* (* x (* y y)) (+ (* (* x (* y y)) (* x (* y (* y 1/6)))) 1)) 1)

rewrite599.0ms (1.8%)

Memory

37.4MiB live, 705.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 848×	`accelerator-lowering-fma.f32`
5 848×	`accelerator-lowering-fma.f64`
4 982×	`-lowering-.f32`
4 982×	`-lowering-.f64`
4 132×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	156
1	180	140
2	1411	140
0	8171	129

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 449

Calls

Call 1

Inputs
(+ (* (* x (* y y)) (+ (* (* x (* y y)) (* x (* y (* y 1/6)))) 1)) 1)
(* x (* y y))
(* y y)
(+ (* (* x (* y y)) (* x (* y (* y 1/6)))) 1)
(+ (* x y) 1)
(+ (* (* x y) y) 1)
(* x y)
(* x (* 1/2 (* x (* (* y y) (* y y)))))
(* 1/2 (* x (* (* y y) (* y y))))
(* x (* (* y y) (* y y)))
(* (* y y) (* y y))
(+ (* x (+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)) 1)
(+ (* x (* (* y y) (+ (* y (* x 1/6)) 1/2))) y)
(* (* y y) (+ (* y (* x 1/6)) 1/2))
(* x (* y (* y 1/6)))
(* y 1/6)
(* y (* y 1/6))
(* x 1/6)

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

simplify649.0ms (1.9%)

Memory

-16.3MiB live, 820.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 106×	`accelerator-lowering-fma.f32`
16 106×	`accelerator-lowering-fma.f64`
5 534×	`-lowering-.f32`
5 534×	`-lowering-.f64`
2 656×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	2908
1	791	2884
2	2713	2810
3	5971	2796
0	8504	2630

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/6 (* (pow x 2) (pow y 6))) (pow y 2))))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/6 (* (pow x 2) (pow y 6))) (pow y 2))))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (*.f64 y y)) #s(literal 1 binary64))
(* 1/6 (* (pow x 3) (pow y 6)))
(.f64 #s(literal 1/6 binary64) (.f64 x (.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) x)))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (/ (pow y 2) (pow x 2))))
(.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (.f64 y (/.f64 y (*.f64 x x))))))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (.f64 y (/.f64 y (.f64 x x)))) #s(literal 1 binary64))
(* (pow x 3) (+ (* 1/6 (pow y 6)) (+ (/ 1 (pow x 3)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (.f64 y (/.f64 y (.f64 x x)))) #s(literal 1 binary64))
(* 1/6 (* (pow x 3) (pow y 6)))
(.f64 #s(literal 1/6 binary64) (.f64 x (.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) x)))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 6)))))
(.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (.f64 y (/.f64 y (*.f64 x x))))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 6))) (/ 1 (pow x 3)))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (.f64 y (/.f64 y (.f64 x x)))) #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 6))) (/ 1 (pow x 3)))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 6 binary64)) (.f64 y (/.f64 y (.f64 x x)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* 1/6 (* (pow x 3) (pow y 4))))))
(fma.f64 (.f64 y y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) x) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ x (* 1/6 (* (pow x 3) (pow y 4))))))
(fma.f64 (.f64 y y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) x) #s(literal 1 binary64))
(* 1/6 (* (pow x 3) (pow y 6)))
(.f64 #s(literal 1/6 binary64) (.f64 x (.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) x)))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (/ x (pow y 4))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (/ 1 (pow y 6)) (/ x (pow y 4)))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (/ 1 (pow y 6)) (/ x (pow y 4)))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(* 1/6 (* (pow x 3) (pow y 6)))
(.f64 #s(literal 1/6 binary64) (.f64 x (.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) x) x)))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (/ x (pow y 4))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (/ 1 (pow y 6)) (/ x (pow y 4)))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(* (pow y 6) (+ (* 1/6 (pow x 3)) (+ (/ 1 (pow y 6)) (/ x (pow y 4)))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (* (pow x 2) (pow y 4))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(+ 1 (* 1/6 (* (pow x 2) (pow y 4))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(+ 1 (* 1/6 (* (pow x 2) (pow y 4))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(* 1/6 (* (pow x 2) (pow y 4)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (+ (* 1/6 (pow y 4)) (/ 1 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/6 (pow y 4)) (/ 1 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/6 (pow y 4)) (/ 1 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(* 1/6 (* (pow x 2) (pow y 4)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (+ (* 1/6 (pow y 4)) (/ 1 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/6 (pow y 4)) (/ 1 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/6 (pow y 4)) (/ 1 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (* (pow x 2) (pow y 4))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(+ 1 (* 1/6 (* (pow x 2) (pow y 4))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(+ 1 (* 1/6 (* (pow x 2) (pow y 4))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(* 1/6 (* (pow x 2) (pow y 4)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (/ 1 (pow y 4))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (/ 1 (pow y 4))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (/ 1 (pow y 4))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(* 1/6 (* (pow x 2) (pow y 4)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (/ 1 (pow y 4))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (/ 1 (pow y 4))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(* (pow y 4) (+ (* 1/6 (pow x 2)) (/ 1 (pow y 4))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #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))
(* 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))
(* 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))
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))
(* 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))
(* 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 (pow y 2)))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* x (pow y 2)))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* x (pow y 2)))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (pow y 2)))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x))))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x (pow y 2)))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* x (pow y 2)))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* x (pow y 2)))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ x (/ 1 (pow y 2))))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 1/2 (* (pow x 2) (pow y 4)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))))
(* 1/2 (* (pow x 2) (pow y 4)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))))
(* 1/2 (* (pow x 2) (pow y 4)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))))
(* 1/2 (* (pow x 2) (pow y 4)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))))
(* 1/2 (* (pow x 2) (pow y 4)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))))
(* 1/2 (* (pow x 2) (pow y 4)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64))))
(* 1/2 (* (pow x 2) (pow y 4)))
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(.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))
(.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (* x (pow y 3)))
(.f64 x (fma.f64 (.f64 y y) (*.f64 y #s(literal 1/6 binary64)) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))
(.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))
(.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))
(.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 (pow y 2))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))

eval144.0ms (0.4%)

Memory: 28.3MiB live, 267.2MiB allocated
Compiler: Compiled 27 446 to 1 624 computations (94.1% saved)

prune109.0ms (0.3%)

Memory

3.1MiB live, 199.9MiB allocated

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	930	9	939
Fresh	2	3	5
Picked	2	3	5
Done	0	5	5
Total	934	20	954

Accuracy

100.0%

Counts

954 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(fma.f64 (.f64 y (.f64 (.f64 x y) x)) (fma.f64 y (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x y #s(literal 1 binary64)))
✓	72.2%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	72.1%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	70.1%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	63.7%	(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
▶	66.1%	(fma.f64 x (fma.f64 (.f64 y y) (.f64 (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) y) #s(literal 1 binary64))
	64.8%	(fma.f64 x (fma.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))
	61.7%	(fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 y (.f64 (.f64 x y) x)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (.f64 x y) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))
▶	62.2%	(fma.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))
✓	52.3%	(fma.f64 x y #s(literal 1 binary64))
	45.1%	(/.f64 (.f64 (fma.f64 (.f64 y (.f64 (.f64 x y) x)) (.f64 y (.f64 (.f64 x y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 x x) #s(literal 1 binary64)) (fma.f64 x y #s(literal -1 binary64))))
	18.7%	(.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))))
▶	24.6%	(.f64 (.f64 x (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/2 binary64))) x)
	17.5%	(.f64 x (.f64 y y))
▶	22.6%	(.f64 x (.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
▶	8.4%	(*.f64 x y)
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	89.5%	(exp.f64 (*.f64 x y))
	66.0%	(exp.f64 x)
✓	51.6%	#s(literal 1 binary64)

Compiler

Compiled 475 to 272 computations (42.7% saved)

simplify154.0ms (0.5%)

Memory

-23.3MiB live, 131.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	(.f64 x (.f64 (.f64 y y) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	(.f64 x (.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
✓	cost-diff	(.f64 y (.f64 y (*.f64 y y)))
✓	cost-diff	(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/2 binary64))
✓	cost-diff	(.f64 x (.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 1/2 binary64)))
✓	cost-diff	(.f64 (.f64 x (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/2 binary64))) x)
✓	cost-diff	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	(.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
✓	cost-diff	(fma.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(.f64 (fma.f64 y (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(fma.f64 (.f64 y y) (.f64 (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) y)
✓	cost-diff	(fma.f64 x (fma.f64 (.f64 y y) (.f64 (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) y) #s(literal 1 binary64))

Rules

1 908×	`accelerator-lowering-fma.f32`
1 908×	`accelerator-lowering-fma.f64`
1 290×	`-lowering-.f32`
1 290×	`-lowering-.f64`
1 008×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	199
1	96	191
2	265	191
3	837	191
4	1247	191
5	1714	191
6	2305	191
7	2702	191
8	2738	191
9	3347	191
10	3357	191
11	3370	191
12	3370	191
13	3370	191
0	3370	176

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x (+ (* (* y y) (* (+ (* y (* x 1/6)) 1/2) x)) y)) 1)
x
(+ (* (* y y) (* (+ (* y (* x 1/6)) 1/2) x)) y)
(* y y)
y
(* (+ (* y (* x 1/6)) 1/2) x)
(+ (* y (* x 1/6)) 1/2)
(* x 1/6)
1/6
1/2
1
(* x y)
x
y
(+ (* x (* (+ (* y (* x 1/2)) 1) y)) 1)
x
(* (+ (* y (* x 1/2)) 1) y)
(+ (* y (* x 1/2)) 1)
y
(* x 1/2)
1/2
1
(* (* x (* (* y (* y (* y y))) 1/2)) x)
(* x (* (* y (* y (* y y))) 1/2))
x
(* (* y (* y (* y y))) 1/2)
(* y (* y (* y y)))
y
(* y (* y y))
(* y y)
1/2
(* x (* x (* (* y y) (+ (* x (* y 1/6)) 1/2))))
x
(* x (* (* y y) (+ (* x (* y 1/6)) 1/2)))
(* (* y y) (+ (* x (* y 1/6)) 1/2))
(* y y)
y
(+ (* x (* y 1/6)) 1/2)
(* y 1/6)
1/6
1/2

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

localize125.0ms (0.4%)

Memory

-23.6MiB live, 191.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	99.0%	(.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	95.1%	(.f64 x (.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
✓	accuracy	90.6%	(.f64 x (.f64 (.f64 y y) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(.f64 y (.f64 y (*.f64 y y)))
✓	accuracy	99.8%	(.f64 y (.f64 y y))
✓	accuracy	94.7%	(.f64 x (.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 1/2 binary64)))
✓	accuracy	93.1%	(.f64 (.f64 x (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/2 binary64))) x)
✓	accuracy	100.0%	(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.9%	(.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
✓	accuracy	97.0%	(fma.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	97.7%	(fma.f64 x (fma.f64 (.f64 y y) (.f64 (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) y) #s(literal 1 binary64))
✓	accuracy	88.3%	(fma.f64 (.f64 y y) (.f64 (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) y)

Samples

59.0ms

256×

valid

Compiler

Compiled 196 to 34 computations (82.7% saved)

Precisions

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

ival-mult: 29.0ms (70.9% of total)

ival-add: 7.0ms (17.1% of total)

const: 4.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0%)

Memory

26.9MiB live, 26.9MiB allocated

Counts

20 → 396

Calls

Call 1

Inputs
#<alt (+ (* x (+ (* (* y y) (* (+ (* y (* x 1/6)) 1/2) x)) y)) 1)>
#<alt (+ (* (* y y) (* (+ (* y (* x 1/6)) 1/2) x)) y)>
#<alt (* y y)>
#<alt (* (+ (* y (* x 1/6)) 1/2) x)>
#<alt (* x y)>
#<alt (+ (* x (* (+ (* y (* x 1/2)) 1) y)) 1)>
#<alt (* (+ (* y (* x 1/2)) 1) y)>
#<alt (+ (* y (* x 1/2)) 1)>
#<alt (* x 1/2)>
#<alt (* (* x (* (* y (* y (* y y))) 1/2)) x)>
#<alt (* x (* (* y (* y (* y y))) 1/2))>
#<alt (* (* y (* y (* y y))) 1/2)>
#<alt (* y (* y (* y y)))>
#<alt (* x (* x (* (* y y) (+ (* x (* y 1/6)) 1/2))))>
#<alt (* x (* (* y y) (+ (* x (* y 1/6)) 1/2)))>
#<alt (* (* y y) (+ (* x (* y 1/6)) 1/2))>
#<alt (* x 1/6)>
#<alt (+ (* y (* x 1/6)) 1/2)>
#<alt (* y (* y y))>
#<alt (* y 1/6)>

Outputs
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x (+ y (* 1/2 (* x (pow y 2))))))>
#<alt (+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))))>
#<alt (* 1/6 (* (pow x 3) (pow y 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ y (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (+ (/ 1 (pow x 3)) (/ y (pow x 2))))))>
#<alt (* 1/6 (* (pow x 3) (pow y 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ y x)) x)) (* -1/6 (pow y 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 3)))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))>
#<alt (+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2)))))))>
#<alt (* 1/6 (* (pow x 3) (pow y 3)))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))>
#<alt (* 1/6 (* (pow x 3) (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x y)) y)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (* 1/2 (pow x 2))) y)) (* -1/6 (pow x 3)))))>
#<alt y>
#<alt (* y (+ 1 (* 1/2 (* x y))))>
#<alt (* y (+ 1 (* y (+ (* 1/6 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* y (+ 1 (* y (+ (* 1/6 (* (pow x 2) y)) (* 1/2 x)))))>
#<alt (* 1/6 (* (pow x 2) (pow y 3)))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x y))))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x y)) (/ 1 (pow y 2)))))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x y)) (/ 1 (pow y 2)))))>
#<alt (* 1/6 (* (pow x 2) (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 y)) y)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 y)) y)) (* -1/6 (pow x 2)))))>
#<alt y>
#<alt (+ y (* 1/2 (* x (pow y 2))))>
#<alt (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))>
#<alt (* 1/6 (* (pow x 2) (pow y 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ y (pow x 2)))))>
#<alt (* 1/6 (* (pow x 2) (pow y 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (pow y 2))) x)) (* 1/6 (pow y 3))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ y x)) (* -1/2 (pow y 2))) x)) (* 1/6 (pow y 3))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 1/2 x)>
#<alt (+ (* 1/6 (* (pow x 2) y)) (* 1/2 x))>
#<alt (+ (* 1/6 (* (pow x 2) y)) (* 1/2 x))>
#<alt (+ (* 1/6 (* (pow x 2) y)) (* 1/2 x))>
#<alt (* 1/6 (* (pow x 2) y))>
#<alt (* y (+ (* 1/6 (pow x 2)) (* 1/2 (/ x y))))>
#<alt (* y (+ (* 1/6 (pow x 2)) (* 1/2 (/ x y))))>
#<alt (* y (+ (* 1/6 (pow x 2)) (* 1/2 (/ x y))))>
#<alt (* 1/6 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 (* x y))))>
#<alt (* x (+ 1/2 (* 1/6 (* x y))))>
#<alt (* x (+ 1/2 (* 1/6 (* x y))))>
#<alt (* 1/6 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/6 y) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 1/6 y) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 1/6 y) (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* 1/6 y) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 1/6 y) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 1/6 y) (* 1/2 (/ 1 x))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
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#<alt (* x y)>
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#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
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#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x (+ y (* 1/2 (* x (pow y 2))))))>
#<alt (+ 1 (* x (+ y (* 1/2 (* x (pow y 2))))))>
#<alt (* 1/2 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow y 2)) (/ y x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow y 2)) (+ (/ 1 (pow x 2)) (/ y x))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow y 2)) (+ (/ 1 (pow x 2)) (/ y x))))>
#<alt (* 1/2 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow y 2)) (/ y x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))>
#<alt (+ 1 (* y (+ x (* 1/2 (* (pow x 2) y)))))>
#<alt (* 1/2 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* 1/2 (pow x 2)) (/ x y)))>
#<alt (* (pow y 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 2)) (/ x y))))>
#<alt (* (pow y 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow y 2)) (/ x y))))>
#<alt (* 1/2 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* 1/2 (pow x 2)) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (* 1/2 (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (* 1/2 (pow x 2))))>
#<alt y>
#<alt (* y (+ 1 (* 1/2 (* x y))))>
#<alt (* y (+ 1 (* 1/2 (* x y))))>
#<alt (* y (+ 1 (* 1/2 (* x y))))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* 1/2 x) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* 1/2 x) (/ 1 y)))>
#<alt y>
#<alt (+ y (* 1/2 (* x (pow y 2))))>
#<alt (+ y (* 1/2 (* x (pow y 2))))>
#<alt (+ y (* 1/2 (* x (pow y 2))))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* x (+ (* 1/2 (pow y 2)) (/ y x)))>
#<alt (* x (+ (* 1/2 (pow y 2)) (/ y x)))>
#<alt (* x (+ (* 1/2 (pow y 2)) (/ y x)))>
#<alt (* 1/2 (* x (pow y 2)))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (pow y 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (pow y 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* y (+ (* 1/2 x) (/ 1 y)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (+ 1 (* 1/2 (* x y)))>
#<alt (* 1/2 (* x y))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* x (+ (* 1/2 y) (/ 1 x)))>
#<alt (* 1/2 (* x y))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 y) (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
#<alt (* 1/2 (* (pow x 2) (pow y 4)))>
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#<alt (* 1/2 (* x (pow y 4)))>
#<alt (* 1/2 (* x (pow y 4)))>
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#<alt (* 1/2 (pow y 4))>
#<alt (* 1/2 (pow y 4))>
#<alt (* 1/2 (pow y 4))>
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#<alt (pow y 4)>
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#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (pow y 4)>
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#<alt (pow y 4)>
#<alt (pow y 4)>
#<alt (* 1/2 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2))))>
#<alt (* 1/6 (* (pow x 3) (pow y 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* 1/6 (* (pow x 3) (pow y 3)))>
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#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))>
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#<alt (* 1/2 (* (pow x 2) (pow y 2)))>
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#<alt (* 1/6 (* (pow x 3) (pow y 3)))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y))))>
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#<alt (* -1 (* (pow y 3) (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3)))))>
#<alt (* 1/2 (* x (pow y 2)))>
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#<alt (* (pow x 2) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* 1/6 (* (pow x 2) (pow y 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))>
#<alt (* 1/2 (* x (pow y 2)))>
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#<alt (* 1/6 (* (pow x 2) (pow y 3)))>
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#<alt (* (pow y 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x y))))>
#<alt (* (pow y 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x y))))>
#<alt (* 1/6 (* (pow x 2) (pow y 3)))>
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#<alt (* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 (pow x 2)))))>
#<alt (* 1/2 (pow y 2))>
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#<alt (* (pow y 2) (+ 1/2 (* 1/6 (* x y))))>
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#<alt (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))>
#<alt (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))>
#<alt (* 1/6 (* x (pow y 3)))>
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#<alt (* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))>
#<alt (* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* x y)))>
#<alt (+ 1/2 (* 1/6 (* x y)))>
#<alt (+ 1/2 (* 1/6 (* x y)))>
#<alt (* 1/6 (* x y))>
#<alt (* y (+ (* 1/6 x) (* 1/2 (/ 1 y))))>
#<alt (* y (+ (* 1/6 x) (* 1/2 (/ 1 y))))>
#<alt (* y (+ (* 1/6 x) (* 1/2 (/ 1 y))))>
#<alt (* 1/6 (* x y))>
#<alt (* -1 (* y (- (* -1/6 x) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* -1/6 x) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* -1/6 x) (* 1/2 (/ 1 y)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* x y)))>
#<alt (+ 1/2 (* 1/6 (* x y)))>
#<alt (+ 1/2 (* 1/6 (* x y)))>
#<alt (* 1/6 (* x y))>
#<alt (* x (+ (* 1/6 y) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/6 y) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/6 y) (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (* x y))>
#<alt (* -1 (* x (- (* -1/6 y) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 y) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 y) (* 1/2 (/ 1 x)))))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>

Calls

99 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(* x (* x (* (* y y) (+ (* x (* y 1/6)) 1/2))))
0.0ms	x	@	-inf	(+ (* x (* (+ (* y (* x 1/2)) 1) y)) 1)
0.0ms	y	@	-inf	(+ (* x (* (+ (* y (* x 1/2)) 1) y)) 1)
0.0ms	y	@	-inf	(* (+ (* y (* x 1/2)) 1) y)
0.0ms	y	@	inf	(* x (* x (* (* y y) (+ (* x (* y 1/6)) 1/2))))

rewrite626.0ms (1.8%)

Memory

-12.5MiB live, 949.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 678×	`accelerator-lowering-fma.f32`
8 678×	`accelerator-lowering-fma.f64`
5 756×	`-lowering-.f32`
5 756×	`-lowering-.f64`
3 346×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	168
1	167	160
2	1082	158
0	8160	144

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 645

Calls

Call 1

Inputs
(+ (* x (+ (* (* y y) (* (+ (* y (* x 1/6)) 1/2) x)) y)) 1)
(+ (* (* y y) (* (+ (* y (* x 1/6)) 1/2) x)) y)
(* y y)
(* (+ (* y (* x 1/6)) 1/2) x)
(* x y)
(+ (* x (* (+ (* y (* x 1/2)) 1) y)) 1)
(* (+ (* y (* x 1/2)) 1) y)
(+ (* y (* x 1/2)) 1)
(* x 1/2)
(* (* x (* (* y (* y (* y y))) 1/2)) x)
(* x (* (* y (* y (* y y))) 1/2))
(* (* y (* y (* y y))) 1/2)
(* y (* y (* y y)))
(* x (* x (* (* y y) (+ (* x (* y 1/6)) 1/2))))
(* x (* (* y y) (+ (* x (* y 1/6)) 1/2)))
(* (* y y) (+ (* x (* y 1/6)) 1/2))
(* x 1/6)
(+ (* y (* x 1/6)) 1/2)
(* y (* y y))
(* y 1/6)

Outputs
(+.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x y #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)))) (fma.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 x y))
(-.f64 (/.f64 (.f64 x (.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)))) (fma.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)))) (/.f64 (.f64 x (.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y)))))
(fma.f64 x (.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y))) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y) #s(literal 1 binary64))
(fma.f64 y (.f64 (.f64 (.f64 x y) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 y (fma.f64 (.f64 (.f64 x y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x) #s(literal 1 binary64))
(fma.f64 y (+.f64 x (.f64 (.f64 (.f64 x y) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (.f64 (.f64 x (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (.f64 y y)) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y))) x (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y) x #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y y) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x x) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y) #s(literal -1 binary64)))))
(fma.f64 (.f64 x y) (.f64 (.f64 x y) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 y y) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 y y)) (.f64 x (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 (.f64 (.f64 x y) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (.f64 (.f64 (.f64 x y) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)) (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x y))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) (-.f64 #s(literal 0 binary64) y)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) y)))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 y y) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 y y) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 (fma.f64 y y (.f64 (.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y))) (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) (-.f64 #s(literal 0 binary64) y)))) (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 (.f64 x y) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y))) (-.f64 y (.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y))))))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y (-.f64 (.f64 (.f64 (.f64 x y) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)))) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 y y (.f64 (.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y))) (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) (-.f64 #s(literal 0 binary64) y)))) (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)) x) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 (.f64 x y) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y))) (-.f64 y (.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y))))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y (-.f64 (.f64 (.f64 (.f64 x y) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)))) y)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y y) (.f64 x x)) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x y #s(literal 1 binary64)))
(neg.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)) (.f64 x (.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y))) #s(literal 1 binary64)) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y))))))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y))) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y) (neg.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)) (.f64 x (.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)))) #s(literal 1 binary64))) (-.f64 (fma.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y))) #s(literal 1 binary64)) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y)))))
(neg.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (neg.f64 x) #s(literal 1 binary64))) (fma.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) #s(literal -1 binary64)))) (fma.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)) (.f64 x (.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y)))))))
(/.f64 (fma.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)) (.f64 x (.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y))) #s(literal 1 binary64)) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y))))
(/.f64 (fma.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)) (.f64 x (.f64 (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y) (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 y y)) y)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 y y)) y) #s(literal -1 binary64)))))
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(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x y) #s(literal -1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64))
(.f64 y (.f64 y y))
(.f64 (.f64 y y) y)
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) y)

simplify601.0ms (1.8%)

Memory

29.0MiB live, 860.0MiB allocated

Algorithm

1×	egg-herbie

Rules

19 342×	`accelerator-lowering-fma.f32`
19 342×	`accelerator-lowering-fma.f64`
4 812×	`-lowering-.f32`
4 812×	`-lowering-.f64`
2 322×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	3395
1	797	3326
2	2666	3176
3	7355	3176
0	8096	2963

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

Outputs
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 x (.f64 y (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))))))
(fma.f64 x (.f64 y (fma.f64 y (.f64 x (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(* 1/6 (* (pow x 3) (pow y 3)))
(.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))))
(* (pow x 3) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))
(.f64 (.f64 x x) (.f64 y (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ y (pow x 2)))))
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(.f64 y (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ 1 y))))
(.f64 y (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* 1/6 (* x (pow y 3)))
(.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(* -1 (* (pow y 3) (- (* -1/6 x) (* 1/2 (/ 1 y)))))
(.f64 (.f64 y y) (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow y 3) (- (* -1/6 x) (* 1/2 (/ 1 y)))))
(.f64 (.f64 y y) (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow y 3) (- (* -1/6 x) (* 1/2 (/ 1 y)))))
(.f64 (.f64 y y) (fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (pow y 2))
(.f64 y (.f64 y #s(literal 1/2 binary64)))
(+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))
(.f64 y (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))
(.f64 y (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2)))
(.f64 y (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* 1/6 (* x (pow y 3)))
(.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))
(.f64 y (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))
(.f64 y (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x))))
(.f64 y (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* 1/6 (* x (pow y 3)))
(.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))
(.f64 y (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))
(.f64 y (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* -1 (* x (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3)))))
(.f64 y (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* x y)))
(fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* x y)))
(fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* x y)))
(fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (* x y))
(.f64 x (.f64 y #s(literal 1/6 binary64)))
(* y (+ (* 1/6 x) (* 1/2 (/ 1 y))))
(fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* y (+ (* 1/6 x) (* 1/2 (/ 1 y))))
(fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* y (+ (* 1/6 x) (* 1/2 (/ 1 y))))
(fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (* x y))
(.f64 x (.f64 y #s(literal 1/6 binary64)))
(* -1 (* y (- (* -1/6 x) (* 1/2 (/ 1 y)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/6 x) (* 1/2 (/ 1 y)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/6 x) (* 1/2 (/ 1 y)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* x y)))
(fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* x y)))
(fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* x y)))
(fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (* x y))
(.f64 x (.f64 y #s(literal 1/6 binary64)))
(* x (+ (* 1/6 y) (* 1/2 (/ 1 x))))
(fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* x (+ (* 1/6 y) (* 1/2 (/ 1 x))))
(fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* x (+ (* 1/6 y) (* 1/2 (/ 1 x))))
(fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (* x y))
(.f64 x (.f64 y #s(literal 1/6 binary64)))
(* -1 (* x (- (* -1/6 y) (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))
(* -1 (* x (- (* -1/6 y) (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))
(* -1 (* x (- (* -1/6 y) (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))

eval220.0ms (0.6%)

Memory: 0.2MiB live, 320.2MiB allocated
Compiler: Compiled 27 643 to 2 246 computations (91.9% saved)

prune213.0ms (0.6%)

Memory

-19.0MiB live, 216.7MiB allocated

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	1 070	7	1 077
Fresh	3	4	7
Picked	3	2	5
Done	0	8	8
Total	1 076	21	1 097

Accuracy

100.0%

Counts

1 097 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.8%	(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))
✓	72.2%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	72.1%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	70.1%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	63.7%	(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
✓	52.3%	(fma.f64 x y #s(literal 1 binary64))
	45.1%	(/.f64 (.f64 (fma.f64 (.f64 y (.f64 (.f64 x y) x)) (.f64 y (.f64 (.f64 x y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 x x) #s(literal 1 binary64)) (fma.f64 x y #s(literal -1 binary64))))
	23.0%	(.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
	19.3%	(.f64 (.f64 y y) (.f64 (.f64 x (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
	18.7%	(.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))))
✓	24.6%	(.f64 (.f64 x (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/2 binary64))) x)
	19.2%	(.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))
	14.8%	(.f64 x (/.f64 (.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
	18.4%	(.f64 x (.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	17.5%	(.f64 x (.f64 y y))
	20.8%	(.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64)))))
✓	8.4%	(*.f64 x y)
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	89.5%	(exp.f64 (*.f64 x y))
	66.0%	(exp.f64 x)
✓	51.6%	#s(literal 1 binary64)

Compiler

Compiled 691 to 271 computations (60.8% saved)

regimes124.0ms (0.4%)

Memory

5.6MiB live, 84.7MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x y)
(fma.f64 x y #s(literal 1 binary64))
(.f64 x (.f64 y y))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64)))))
(.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))
(.f64 x (.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (.f64 x (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/2 binary64))) x)
(.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))))
(.f64 x (.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 y y) (.f64 (.f64 x (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 y y) (.f64 (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) y) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 (.f64 x y) x)) (fma.f64 y (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 x (/.f64 (.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 y (.f64 (.f64 x y) x)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (.f64 x y) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 (.f64 x y) x)) (.f64 y (.f64 (.f64 x y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 x x) #s(literal 1 binary64)) (fma.f64 x y #s(literal -1 binary64))))
(exp.f64 x)
(exp.f64 y)
(exp.f64 (*.f64 x y))
(exp.f64 (.f64 (.f64 x y) y))

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

Calls

4 calls:

65.0ms	x
38.0ms	(exp.f64 (.f64 (.f64 x y) y))
10.0ms	y
9.0ms	(.f64 (.f64 x y) y)

Results

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes79.0ms (0.2%)

Memory

1.5MiB live, 41.0MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x y)
(fma.f64 x y #s(literal 1 binary64))
(.f64 x (.f64 y y))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64)))))
(.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))
(.f64 x (.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (.f64 x (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/2 binary64))) x)
(.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))))
(.f64 x (.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 y y) (.f64 (.f64 x (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 y y) (.f64 (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) y) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 (.f64 x y) x)) (fma.f64 y (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 x (/.f64 (.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 y (.f64 (.f64 x y) x)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (.f64 x y) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 (.f64 x y) x)) (.f64 y (.f64 (.f64 x y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 x x) #s(literal 1 binary64)) (fma.f64 x y #s(literal -1 binary64))))
(exp.f64 x)
(exp.f64 y)
(exp.f64 (*.f64 x y))

Outputs

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

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

Calls

4 calls:

51.0ms	y
10.0ms	x
8.0ms	(.f64 (.f64 x y) y)
7.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
92.1%	2	`x`
93.1%	2	`y`
94.1%	2	`(exp.f64 (.f64 (.f64 x y) y))`
94.1%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes57.0ms (0.2%)

Memory

-19.1MiB live, 75.5MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x y)
(fma.f64 x y #s(literal 1 binary64))
(.f64 x (.f64 y y))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64)))))
(.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))
(.f64 x (.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (.f64 x (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/2 binary64))) x)
(.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))))
(.f64 x (.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 y y) (.f64 (.f64 x (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 y y) (.f64 (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) y) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 (.f64 x y) x)) (fma.f64 y (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 x (/.f64 (.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 y (.f64 (.f64 x y) x)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (.f64 x y) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 (.f64 x y) x)) (.f64 y (.f64 (.f64 x y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 x x) #s(literal 1 binary64)) (fma.f64 x y #s(literal -1 binary64))))
(exp.f64 x)
(exp.f64 y)

Outputs

(exp.f64 x)

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

Calls

4 calls:

24.0ms	(exp.f64 (.f64 (.f64 x y) y))
13.0ms	y
9.0ms	x
8.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
81.1%	2	`x`
82.6%	3	`y`
87.0%	2	`(exp.f64 (.f64 (.f64 x y) y))`
87.0%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes38.0ms (0.1%)

Memory

5.6MiB live, 80.1MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x y)
(fma.f64 x y #s(literal 1 binary64))
(.f64 x (.f64 y y))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64)))))
(.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))
(.f64 x (.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (.f64 x (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/2 binary64))) x)
(.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))))
(.f64 x (.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 y y) (.f64 (.f64 x (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 y y) (.f64 (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) y) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 (.f64 x y) x)) (fma.f64 y (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 x (/.f64 (.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 y (.f64 (.f64 x y) x)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (.f64 x y) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 (.f64 x y) x)) (.f64 y (.f64 (.f64 x y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 x x) #s(literal 1 binary64)) (fma.f64 x y #s(literal -1 binary64))))

Outputs

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

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

Calls

4 calls:

11.0ms	x
11.0ms	y
8.0ms	(.f64 (.f64 x y) y)
7.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
72.2%	1	`y`
72.2%	1	`x`
75.7%	2	`(exp.f64 (.f64 (.f64 x y) y))`
75.7%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes15.0ms (0%)

Memory

6.8MiB live, 45.7MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x y)
(fma.f64 x y #s(literal 1 binary64))
(.f64 x (.f64 y y))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64)))))
(.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))
(.f64 x (.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (.f64 x (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/2 binary64))) x)
(.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))))
(.f64 x (.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 y y) (.f64 (.f64 x (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 y y) (.f64 (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) y) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 (.f64 x y) x)) (fma.f64 y (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.5%	2	`(exp.f64 (.f64 (.f64 x y) y))`
75.5%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes16.0ms (0%)

Memory

2.9MiB live, 46.3MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x y)
(fma.f64 x y #s(literal 1 binary64))
(.f64 x (.f64 y y))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64)))))
(.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))
(.f64 x (.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (.f64 x (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/2 binary64))) x)
(.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))))
(.f64 x (.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 y y) (.f64 (.f64 x (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 (.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 y y) (.f64 (fma.f64 y (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) y) #s(literal 1 binary64))
(fma.f64 (.f64 y (.f64 (.f64 x y) x)) (fma.f64 y (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))) x) #s(literal 1 binary64))

Outputs

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

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

(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))

Calls

2 calls:

9.0ms	(.f64 (.f64 x y) y)
6.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
75.3%	3	`(exp.f64 (.f64 (.f64 x y) y))`
75.4%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes27.0ms (0.1%)

Memory

-3.1MiB live, 73.7MiB allocated

Counts

19 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x y)
(fma.f64 x y #s(literal 1 binary64))
(.f64 x (.f64 y y))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64)))))
(.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))
(.f64 x (.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (.f64 x (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/2 binary64))) x)
(.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))))
(.f64 x (.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 y y) (.f64 (.f64 x (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal 1 binary64))

Outputs

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

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

(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
75.2%	3	`(exp.f64 (.f64 (.f64 x y) y))`
69.6%	1	`x`
69.6%	1	`y`
75.3%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes39.0ms (0.1%)

Memory

-11.2MiB live, 28.1MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x y)
(fma.f64 x y #s(literal 1 binary64))
(.f64 x (.f64 y y))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64)))))
(.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))
(.f64 x (.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (.f64 x (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/2 binary64))) x)
(.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))))
(.f64 x (.f64 x (.f64 (.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 y y) (.f64 (.f64 x (fma.f64 x (*.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))

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

Calls

2 calls:

33.0ms	(exp.f64 (.f64 (.f64 x y) y))
5.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
73.7%	3	`(exp.f64 (.f64 (.f64 x y) y))`
73.8%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes42.0ms (0.1%)

Memory

5.3MiB live, 47.5MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x y)
(fma.f64 x y #s(literal 1 binary64))
(.f64 x (.f64 y y))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/2 binary64)))))
(.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y))))
(.f64 x (.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))

Outputs

(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y))))

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

(fma.f64 x (fma.f64 x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))

Calls

4 calls:

30.0ms	x
4.0ms	y
4.0ms	(.f64 (.f64 x y) y)
3.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
66.2%	1	`x`
68.7%	2	`y`
71.4%	3	`(exp.f64 (.f64 (.f64 x y) y))`
71.5%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes4.0ms (0%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
71.5%	3	`(.f64 (.f64 x y) y)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes98.0ms (0.3%)

Memory

-24.7MiB live, 14.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes8.0ms (0%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.2%	1	`y`
66.2%	1	`(.f64 (.f64 x y) y)`
66.2%	1	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes15.0ms (0%)

Memory

-17.9MiB live, 20.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(.f64 x (.f64 y y))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.2%	2	`(exp.f64 (.f64 (.f64 x y) y))`
66.2%	2	`(.f64 (.f64 x y) y)`
54.7%	2	`x`
64.6%	2	`y`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes6.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
56.6%	2	`y`
56.9%	2	`(exp.f64 (.f64 (.f64 x y) y))`
56.9%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
56.8%	2	`(exp.f64 (.f64 (.f64 x y) y))`
56.8%	2	`(.f64 (.f64 x y) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes5.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.6%	1	`x`
51.6%	1	`y`
51.6%	1	`(exp.f64 (.f64 (.f64 x y) y))`
51.6%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.3039388822208945e+20	-0.16674607351671045

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.3039388822208945e+20	-0.16674607351671045

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.218190801848212e+112	-5.292210858694717e+101

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.218190801848212e+112	-5.292210858694717e+101

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.750742725788384e+27	1.7730632242803884e+40
0.0ms	-5.218190801848212e+112	-5.292210858694717e+101

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.750742725788384e+27	1.7730632242803884e+40
0.0ms	-5.218190801848212e+112	-5.292210858694717e+101

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.750742725788384e+27	1.7730632242803884e+40
0.0ms	-5.218190801848212e+112	-5.292210858694717e+101

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5465605055357584e-6	8978.45040051624
0.0ms	-5.218190801848212e+112	-5.292210858694717e+101

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5465605055357584e-6	8978.45040051624
0.0ms	-5.218190801848212e+112	-5.292210858694717e+101

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000015465617014	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5465605055357584e-6	8978.45040051624

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5465605055357584e-6	8978.45040051624

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5571225622871006e+64	1.1138899033155181e+70

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify27.0ms (0.1%)

Memory

-20.2MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	463
1	99	463

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -200000000000000000000 binary64)) (exp.f64 (.f64 x y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -200000000000000000000 binary64)) (exp.f64 x) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4999999999999999791559868416 binary64)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (*.f64 y y)))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4999999999999999791559868416 binary64)) (fma.f64 (.f64 x y) y #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4999999999999999791559868416 binary64)) (fma.f64 (.f64 x y) y #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (*.f64 y y)))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 x (.f64 y y) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 x (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) (fma.f64 (.f64 x y) y #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64))))))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(literal 1 binary64) (.f64 x (.f64 y y)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 20000000000000000426408380189087937446025157425359298935486676992 binary64)) #s(literal 1 binary64) (*.f64 x y))
#s(literal 1 binary64)

Outputs
(exp.f64 (.f64 (.f64 x y) y))
(exp.f64 (.f64 y (.f64 x y)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -200000000000000000000 binary64)) (exp.f64 (.f64 x y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -200000000000000000000 binary64)) (exp.f64 (.f64 x y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -200000000000000000000 binary64)) (exp.f64 x) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -200000000000000000000 binary64)) (exp.f64 x) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 (.f64 y (.f64 x x)) (.f64 y (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 (.f64 y (.f64 x x)) (.f64 y (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4999999999999999791559868416 binary64)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (*.f64 y y)))))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 (.f64 y (.f64 x x)) (.f64 y (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 y (.f64 x y)) #s(literal 4999999999999999791559868416 binary64)) (fma.f64 (.f64 x (.f64 y y)) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (*.f64 y y)))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 (.f64 (.f64 x x) y) (.f64 y (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4999999999999999791559868416 binary64)) (fma.f64 (.f64 x y) y #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 (.f64 y (.f64 x x)) (.f64 y (fma.f64 x (.f64 y #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 y (.f64 x y)) #s(literal 4999999999999999791559868416 binary64)) (fma.f64 (.f64 x y) y #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (.f64 y y)))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4999999999999999791559868416 binary64)) (fma.f64 (.f64 x y) y #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (*.f64 y y)))))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y)))) (if (<=.f64 (.f64 y (.f64 x y)) #s(literal 4999999999999999791559868416 binary64)) (fma.f64 (.f64 x y) y #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 y y) (*.f64 y y)))))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 x (.f64 y y) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y)))) (if (<=.f64 (.f64 y (.f64 x y)) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 x (.f64 y y) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 0 binary64)) y) #s(literal 1 binary64))))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y)))) (if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 x (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x y)))) (if (<=.f64 (.f64 y (.f64 x y)) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 x (.f64 y y) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 (.f64 (.f64 x y) y)) #s(literal 2 binary64)) (fma.f64 (.f64 x y) y #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64))))))
(if (<=.f64 (exp.f64 (.f64 y (.f64 x y))) #s(literal 2 binary64)) (fma.f64 (.f64 x y) y #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 y (*.f64 y #s(literal 1/2 binary64))))))
(fma.f64 x (*.f64 y y) #s(literal 1 binary64))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(literal 1 binary64) (.f64 x (.f64 y y)))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(literal 1 binary64) (.f64 x (.f64 y y)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
(if (<=.f64 (.f64 (.f64 x y) y) #s(literal 20000000000000000426408380189087937446025157425359298935486676992 binary64)) #s(literal 1 binary64) (*.f64 x y))
(if (<=.f64 (.f64 y (.f64 x y)) #s(literal 20000000000000000426408380189087937446025157425359298935486676992 binary64)) #s(literal 1 binary64) (*.f64 x y))
#s(literal 1 binary64)

soundness26.6s (77.7%)

Memory

0.8MiB live, 1 197.3MiB allocated

Rules

22 282×	`accelerator-lowering-fma.f32`
22 282×	`accelerator-lowering-fma.f64`
19 342×	`accelerator-lowering-fma.f32`
19 342×	`accelerator-lowering-fma.f64`
16 106×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	242	2908
1	791	2884
2	2713	2810
3	5971	2796
0	8504	2630
0	44	380
1	120	380
2	329	380
3	810	380
4	1104	380
5	1231	380
6	1311	380
7	1334	380
8	1348	380
9	2635	380
10	3226	380
11	4017	380
12	4965	380
13	4986	380
14	4986	380
15	5212	380
16	5212	380
17	5212	380
18	5212	380
19	6612	380
20	6612	380
0	6612	368
0	5	16
1	11	16
2	26	16
3	89	16
4	479	3
5	3871	3
0	9032	3
0	199	2012
1	635	2009
2	1876	1986
3	3864	1960
0	8300	1798
0	226	3395
1	797	3326
2	2666	3176
3	7355	3176
0	8096	2963
0	22	104
1	138	104
2	1232	104
0	8350	94
0	32	168
1	167	160
2	1082	158
0	8160	144

Stop Event

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

Compiler

Compiled 937 to 371 computations (60.4% saved)

preprocess83.0ms (0.2%)

Memory: 9.8MiB live, 159.8MiB allocated
Remove: (abs y)
Compiler: Compiled 978 to 182 computations (81.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	42
1	57	40
2	127	40
3	293	40
4	495	40
5	645	40
6	715	40
7	724	40
0	5	6
1	11	6
2	18	6
3	20	6
4	21	6
0	21	6

Iter	Nodes	Cost
0	18	42
1	57	40
2	127	40
3	293	40
4	495	40
5	645	40
6	715	40
7	724	40
0	5	6
1	11	6
2	18	6
3	20	6
4	21	6
0	21	6

analyze0.0ms (0%)

sample529.0ms (1.6%)

preprocess28.0ms (0.1%)

explain57.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize18.0ms (0.1%)

series5.0ms (0%)

rewrite38.0ms (0.1%)

simplify215.0ms (0.6%)

eval10.0ms (0%)

prune6.0ms (0%)

simplify318.0ms (0.9%)

localize76.0ms (0.2%)

series17.0ms (0.1%)

rewrite506.0ms (1.5%)

simplify889.0ms (2.6%)

eval371.0ms (1.1%)

prune71.0ms (0.2%)

simplify169.0ms (0.5%)

localize107.0ms (0.3%)

series22.0ms (0.1%)

rewrite599.0ms (1.8%)

simplify649.0ms (1.9%)

eval144.0ms (0.4%)

prune109.0ms (0.3%)

simplify154.0ms (0.5%)

localize125.0ms (0.4%)

series15.0ms (0%)

rewrite626.0ms (1.8%)

simplify601.0ms (1.8%)

eval220.0ms (0.6%)

prune213.0ms (0.6%)

regimes124.0ms (0.4%)

regimes79.0ms (0.2%)

regimes57.0ms (0.2%)

regimes38.0ms (0.1%)

regimes15.0ms (0%)

regimes16.0ms (0%)

regimes27.0ms (0.1%)

regimes39.0ms (0.1%)

regimes42.0ms (0.1%)

regimes4.0ms (0%)

regimes98.0ms (0.3%)

regimes8.0ms (0%)

regimes15.0ms (0%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.1%)

soundness26.6s (77.7%)

preprocess83.0ms (0.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	42
1	57	40
2	127	40
3	293	40
4	495	40
5	645	40
6	715	40
7	724	40
0	5	6
1	11	6
2	18	6
3	20	6
4	21	6
0	21	6