Metrics for Expression 4, p15

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze47.0ms (1%)

Memory

-11.7MiB live, 23.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
50%	0%	0%	100%	0%	0%	0%	4
75%	0%	0%	100%	0%	0%	0%	5
75%	0%	0%	100%	0%	0%	0%	6
87.5%	0%	0%	100%	0%	0%	0%	7
87.5%	0%	0%	100%	0%	0%	0%	8
93.8%	0%	0%	100%	0%	0%	0%	9
93.8%	0%	0%	100%	0%	0%	0%	10
96.9%	0%	0%	100%	0%	0%	0%	11
96.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.6s (33%)

Memory

-97.8MiB live, 1 337.4MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 651.0ms

ival-add: 292.0ms (44.8% of total)

const: 141.0ms (21.6% of total)

ival-<=: 126.0ms (19.3% of total)

ival-mult: 49.0ms (7.5% of total)

ival-and: 25.0ms (3.8% of total)

exact: 15.0ms (2.3% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain83.0ms (1.8%)

Memory

-20.6MiB live, 67.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 a b)`
-	-	`(*.f64 (+.f64 a b) (+.f64 a b))`
-	-	`a`
-	-	`b`

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

22.0ms

512×

valid

Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions

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

ival-add: 3.0ms (44.8% of total)

ival-mult: 3.0ms (44.8% of total)

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

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

preprocess83.0ms (1.8%)

Memory

4.3MiB live, 40.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	50	35
2	211	35
3	572	35
4	1272	35
5	2103	35
6	2889	35
7	3045	35
8	3045	35
9	3045	35
10	3087	35
11	3103	35
0	4	7
0	6	7
1	13	7
2	29	7
3	57	7
4	80	7
5	96	7
6	105	7
7	111	7
0	111	7

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))

Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (+.f64 b a) (+.f64 b a))

Symmetry

(sort a b)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 a b)
cost-diff	0	(*.f64 (+.f64 a b) (+.f64 a b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	6	12
1	13	12
2	29	12
3	57	12
4	80	12
5	96	12
6	105	12
7	111	12
0	111	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)
a
b

Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (+.f64 b a) (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a
b

localize18.0ms (0.4%)

Memory

-4.8MiB live, 30.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 a b)
accuracy	0.015625	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

14.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-add: 1.0ms (31.5% of total)

ival-mult: 1.0ms (31.5% of total)

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

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

series3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

2 → 19

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)

Outputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ a b)
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	a	@	inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	a	@	-inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	b	@	inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	a	@	0	((* (+ a b) (+ a b)) (+ a b))

simplify215.0ms (4.6%)

Memory

8.3MiB live, 168.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	125
1	193	125
2	488	125
3	1603	117
4	3903	117
5	7023	117
0	8059	101

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ a b)
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))

Outputs
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
b
(+ a b)
(+.f64 b a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
a
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)

rewrite326.0ms (6.9%)

Memory

-17.9MiB live, 272.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2845	8
0	9192	8

Stop Event

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

Counts

2 → 989

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)

Outputs
(.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)) (+.f64 b a))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 a a) (*.f64 (-.f64 b a) b)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) (+.f64 (pow.f64 (.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) #s(literal 1 binary64)) (pow.f64 (-.f64 a b) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 b a) a) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (/.f64 (-.f64 b a) (pow.f64 (+.f64 b a) #s(literal -1 binary64))) (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 a b) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 b a) b) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 a a) (.f64 (-.f64 b a) b)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 2 binary64)) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (*.f64 a a)))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (*.f64 (-.f64 a b) (+.f64 b a))) (+.f64 b a))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (.f64 a a) (*.f64 (-.f64 b a) b)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) (+.f64 (pow.f64 (.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 (-.f64 a b) (+.f64 b a))) (-.f64 a b)) (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (-.f64 a b)))
(.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (-.f64 a b))))
(.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(.f64 (pow.f64 (.f64 (+.f64 b a) (-.f64 b a)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (-.f64 a b) #s(literal -2 binary64)) (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal -2 binary64)) (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (pow.f64 (-.f64 a b) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (.f64 (-.f64 a b) (+.f64 b a))) (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 b a) a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (/.f64 (-.f64 b a) (pow.f64 (+.f64 b a) #s(literal -1 binary64))) (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 a b)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 (-.f64 a b) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 b a) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal 2 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 b a) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal -2 binary64)))
(.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (/.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (.f64 a a)))) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (+.f64 b a)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 a b) (+.f64 b a)) (/.f64 (+.f64 b a) (-.f64 a b)))
(.f64 (.f64 (-.f64 a b) (+.f64 b a)) (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal 2 binary64))))
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(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) (fma.f64 b b (.f64 a a)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) (fma.f64 (.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal -1 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (*.f64 b a) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 a (/.f64 a (-.f64 a b))) #s(literal 2 binary64)) (pow.f64 (.f64 b (/.f64 b (-.f64 a b))) #s(literal 2 binary64))) (fma.f64 a (/.f64 a (-.f64 a b)) (*.f64 b (/.f64 b (-.f64 a b)))))
(/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (-.f64 a b) #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (-.f64 a b) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 a (/.f64 a (-.f64 a b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 b (/.f64 b (-.f64 a b))) #s(literal 2 binary64)) (.f64 (.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (neg.f64 (neg.f64 (-.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (-.f64 a b)))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (.f64 a a))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b)))
(/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a b)) (.f64 (-.f64 a b) (.f64 b b))) (pow.f64 (-.f64 a b) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (-.f64 a b) (fma.f64 b b (.f64 a a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 (-.f64 a b) (fma.f64 (.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (-.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (*.f64 b a) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (-.f64 a b)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(neg.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (-.f64 a b))))
(neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(fma.f64 (/.f64 (.f64 a a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a)) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))
(fma.f64 (/.f64 (.f64 a a) (.f64 (-.f64 a b) (+.f64 b a))) (+.f64 b a) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))
(fma.f64 (.f64 a a) (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (neg.f64 (.f64 b (/.f64 b (-.f64 a b)))))
(fma.f64 a (/.f64 a (-.f64 a b)) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))
(-.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (.f64 a a) (-.f64 b a)))
(-.f64 (.f64 a (/.f64 a (-.f64 a b))) (.f64 b (/.f64 b (-.f64 a b))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b a))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 b a)))
(+.f64 (.f64 a (/.f64 a (-.f64 a b))) (neg.f64 (.f64 b (/.f64 b (-.f64 a b)))))
(+.f64 b a)
(+.f64 a b)

eval251.0ms (5.3%)

Memory: 0.1MiB live, 314.2MiB allocated
Compiler: Compiled 43 302 to 2 968 computations (93.1% saved)

prune33.0ms (0.7%)

Memory

8.7MiB live, 47.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1 084	4	1 088
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 084	5	1 089

Accuracy

100.0%

Counts

1 089 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
▶	99.9%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
▶	99.2%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 59 to 32 computations (45.8% saved)

simplify6.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 b a) a)
cost-diff	0	(+.f64 b a)
cost-diff	3	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 #s(literal 2 binary64) b a)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
cost-diff	2	(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
cost-diff	0	(fma.f64 #s(literal 2 binary64) a b)
cost-diff	0	(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
cost-diff	0	(*.f64 b b)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	98
0	28	97
1	47	97
2	70	97
3	118	97
4	141	91
5	152	91
6	160	91
0	160	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
b
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(fma.f64 #s(literal 2 binary64) b a)
#s(literal 2 binary64)
b
a
(*.f64 b b)
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
(+.f64 b a)
b
a
(*.f64 (+.f64 b a) a)

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
b
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
#s(approx (* (+ a b) (+ a b)) (*.f64 (+.f64 b a) (+.f64 b a)))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(*.f64 (+.f64 b a) (+.f64 b a))
(fma.f64 #s(literal 2 binary64) b a)
#s(literal 2 binary64)
b
a
(*.f64 b b)
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
(*.f64 (+.f64 b a) (+.f64 b a))
(+.f64 b a)
b
a
(*.f64 (+.f64 b a) a)

localize82.0ms (1.8%)

Memory

-41.9MiB live, 50.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 b a)
accuracy	0.0078125	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
accuracy	0.0078125	(*.f64 (+.f64 b a) a)
accuracy	0.0	(fma.f64 #s(literal 2 binary64) b a)
accuracy	0.0	(*.f64 b b)
accuracy	0.0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) a b)
accuracy	0.0078125	(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
accuracy	0.07748968144422683	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
accuracy	0.0	(*.f64 b b)
accuracy	0.5325781402338752	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Samples

62.0ms

256×

valid

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 44.0ms (84.6% of total)

ival-add: 7.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

11 → 41

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
(fma.f64 #s(literal 2 binary64) b a)
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
(+.f64 b a)
(*.f64 (+.f64 b a) a)

Outputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ b (* 2 a))
(* 2 b)
(+ a (* 2 b))
(+ a b)
(* a b)
(* a (+ a b))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 a)
(* a (+ 2 (/ b a)))
a
(* a (+ 1 (* 2 (/ b a))))
(* a (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -2 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* b (+ b (* 2 a)))
(+ (* a b) (pow a 2))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 2 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 2)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* 2 b) a) (+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a))
1.0ms	a	@	inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* 2 b) a) (+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a))
1.0ms	b	@	inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* 2 b) a) (+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a))
1.0ms	a	@	-inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* 2 b) a) (+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a))
1.0ms	a	@	0	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* 2 b) a) (+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a))

simplify110.0ms (2.3%)

Memory

29.4MiB live, 63.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	235
1	315	235
2	849	235
3	2479	227
4	5189	227
0	8038	198

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 39

Calls

Call 1

Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ b (* 2 a))
(* 2 b)
(+ a (* 2 b))
(+ a b)
(* a b)
(* a (+ a b))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 a)
(* a (+ 2 (/ b a)))
a
(* a (+ 1 (* 2 (/ b a))))
(* a (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -2 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* b (+ b (* 2 a)))
(+ (* a b) (pow a 2))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 2 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 2)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))

Outputs
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ a (* 2 b))
(fma.f64 #s(literal 2 binary64) b a)
(+ a b)
(+.f64 b a)
(* a b)
(*.f64 b a)
(* a (+ a b))
(*.f64 (+.f64 b a) a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* 2 (* a b))
(.f64 (.f64 b a) #s(literal 2 binary64))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (/ b a)))
(fma.f64 #s(literal 2 binary64) a b)
a
(* a (+ 1 (* 2 (/ b a))))
(fma.f64 #s(literal 2 binary64) b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 (+.f64 b a) a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(fma.f64 #s(literal 2 binary64) a b)
(* -1 (* a (- (* -2 (/ b a)) 1)))
(fma.f64 #s(literal 2 binary64) b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* b (+ b (* 2 a)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* a b) (pow a 2))
(*.f64 (+.f64 b a) a)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* b (+ 1 (* 2 (/ a b))))
(fma.f64 #s(literal 2 binary64) a b)
(* b (+ 2 (/ a b)))
(fma.f64 #s(literal 2 binary64) b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ a (/ (pow a 2) b)))
(*.f64 (+.f64 b a) a)
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(fma.f64 #s(literal 2 binary64) a b)
(* -1 (* b (- (* -1 (/ a b)) 2)))
(fma.f64 #s(literal 2 binary64) b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 (+.f64 b a) a)

rewrite363.0ms (7.7%)

Memory

-5.3MiB live, 280.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	86
0	28	75
1	112	75
2	946	75
0	8766	75

Stop Event

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

Counts

11 → 630

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
(fma.f64 #s(literal 2 binary64) b a)
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
(+.f64 b a)
(*.f64 (+.f64 b a) a)

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b)) b) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64)))
(.f64 (.f64 b (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b))) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64)))
(.f64 (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b)) (.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64)) b))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64)) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) (.f64 b b)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) a)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b)) b)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b)) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))))
(/.f64 (neg.f64 (.f64 b (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(/.f64 (neg.f64 (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b)) b) (-.f64 (*.f64 #s(literal 2 binary64) a) b))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b) (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))))
(/.f64 (.f64 b (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b))) (-.f64 (*.f64 #s(literal 2 binary64) a) b))
(/.f64 (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (*.f64 b b)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) (.f64 b (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 (.f64 b a) #s(literal 2 binary64)))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b))
(fma.f64 (.f64 #s(literal 2 binary64) a) b (.f64 b b))
(fma.f64 (.f64 #s(literal 2 binary64) b) a (.f64 b b))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (.f64 b b))
(fma.f64 b (.f64 #s(literal 2 binary64) a) (.f64 b b))
(fma.f64 b b (.f64 (.f64 b a) #s(literal 2 binary64)))
(fma.f64 a (.f64 #s(literal 2 binary64) b) (.f64 b b))
(+.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) (*.f64 b b))
(+.f64 (.f64 b b) (.f64 (*.f64 b a) #s(literal 2 binary64)))
(.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 b (.f64 #s(literal 2 binary64) a))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))))))
(.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (.f64 (fma.f64 #s(literal 2 binary64) a b) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 #s(literal 2 binary64) a) b)))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) a b) (.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 2 binary64) a) b))) (.f64 (/.f64 (.f64 b b) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (/.f64 (.f64 b b) (-.f64 (.f64 #s(literal 2 binary64) a) b)))) (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (/.f64 (.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b b) (-.f64 (.f64 #s(literal 2 binary64) a) b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (fma.f64 (/.f64 (.f64 b b) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (/.f64 (.f64 b b) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (/.f64 (.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))))
(/.f64 (neg.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a a)))) (neg.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) (.f64 b b))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) (-.f64 (.f64 #s(literal 2 binary64) a) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b))))
(/.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a a))) (-.f64 b (*.f64 #s(literal 2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (.f64 #s(literal 2 binary64) a)) (fma.f64 b b (.f64 #s(literal -4 binary64) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (*.f64 #s(literal 2 binary64) a) b))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (*.f64 #s(literal 2 binary64) a) b)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b)) (-.f64 (.f64 #s(literal 2 binary64) a) b))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b))) (-.f64 (.f64 #s(literal 2 binary64) a) b)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a))))))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b)) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(neg.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 a #s(literal 2 binary64) b)
(-.f64 (/.f64 (.f64 b b) (-.f64 b (.f64 #s(literal 2 binary64) a))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (-.f64 b (*.f64 #s(literal 2 binary64) a))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (/.f64 (.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 2 binary64) a) b)) (neg.f64 (/.f64 (.f64 b b) (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(+.f64 (*.f64 #s(literal 2 binary64) a) b)
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 (fma.f64 #s(literal 2 binary64) b a) a))))
(.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (.f64 b b)))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (.f64 b b)))))
(.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (fma.f64 #s(literal 2 binary64) b a) a)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (.f64 b b)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (fma.f64 #s(literal 2 binary64) b a) a)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (.f64 b b)) (pow.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (fma.f64 #s(literal 2 binary64) b a) a)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (.f64 b b))))))
(.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (fma.f64 #s(literal 2 binary64) b a) a)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 (+.f64 b a) (.f64 (-.f64 b a) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (.f64 (.f64 (+.f64 b a) a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 b a) a) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (pow.f64 a #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (pow.f64 a #s(literal 4 binary64)))))
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 b a))
(fma.f64 b a (*.f64 a a))
(fma.f64 a b (*.f64 a a))
(fma.f64 a a (*.f64 b a))
(+.f64 (.f64 b a) (.f64 a a))
(+.f64 (.f64 a a) (.f64 b a))

eval203.0ms (4.3%)

Memory: -11.7MiB live, 182.1MiB allocated
Compiler: Compiled 20 099 to 1 889 computations (90.6% saved)

prune95.0ms (2%)

Memory

-6.6MiB live, 33.1MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	703	1	704
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	704	5	709

Accuracy

100.0%

Counts

709 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	99.9%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b)))
✓	99.9%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	99.2%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 58 to 32 computations (44.8% saved)

simplify5.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b b)
cost-diff	0	(*.f64 b a)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b)))
cost-diff	2	(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	13	33
1	25	31
2	43	31
3	62	31
4	85	31
5	100	31
6	110	31
0	110	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b)))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b))
(*.f64 b a)
b
a
#s(literal 2 binary64)
(*.f64 b b)

Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b)))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 b a)
b
a
#s(literal 2 binary64)
(*.f64 b b)

localize20.0ms (0.4%)

Memory

22.7MiB live, 22.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 b b)
accuracy	0.0	(*.f64 b a)
accuracy	0.00390625	(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b))
accuracy	0.07748968144422683	#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b)))

Samples

15.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (61.4% of total)

ival-add: 2.0ms (24.6% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

4 → 17

Calls

Call 1

Inputs
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b)))
(*.f64 b a)
(*.f64 b b)

Outputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(* a b)
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* b (+ b (* 2 a)))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	((+ (* (* b a) 2) (* b b)) (* (+ a b) (+ a b)) (* b a) (* b b))
1.0ms	b	@	inf	((+ (* (* b a) 2) (* b b)) (* (+ a b) (+ a b)) (* b a) (* b b))
1.0ms	a	@	-inf	((+ (* (* b a) 2) (* b b)) (* (+ a b) (+ a b)) (* b a) (* b b))
1.0ms	a	@	0	((+ (* (* b a) 2) (* b b)) (* (+ a b) (+ a b)) (* b a) (* b b))
1.0ms	b	@	0	((+ (* (* b a) 2) (* b b)) (* (+ a b) (+ a b)) (* b a) (* b b))

simplify243.0ms (5.2%)

Memory

-30.7MiB live, 124.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	137
1	165	137
2	471	137
3	1349	129
4	3304	129
5	6834	129
0	8311	110

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(* a b)
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* b (+ b (* 2 a)))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))

Outputs
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(* a b)
(*.f64 a b)
(* 2 (* a b))
(.f64 (.f64 a b) #s(literal 2 binary64))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(* b (+ b (* 2 a)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))

rewrite333.0ms (7.1%)

Memory

0.7MiB live, 200.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
0	13	28
1	51	26
2	397	26
3	4815	26
0	8395	24

Stop Event

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

Counts

4 → 108

Calls

Call 1

Inputs
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b)))
(*.f64 b a)
(*.f64 b b)

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 a b) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 b #s(literal 3 binary64)) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) (.f64 (.f64 b b) (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a))))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 a b) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 a b) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 b #s(literal 3 binary64)) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 b #s(literal 3 binary64)) a) (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 b #s(literal 3 binary64)) a) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) b) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64))) (pow.f64 (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (pow.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (.f64 a a)))) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 a b) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (.f64 (neg.f64 b) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 a b) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (neg.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (*.f64 a a))))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (.f64 a a)))) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (.f64 a a))))))
(.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (.f64 a a)))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (pow.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (*.f64 a a)))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 a b) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (*.f64 a a)))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b) (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b) #s(literal -1 binary64))))
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(pow.f64 (/.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) b) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 a b) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 8 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (.f64 a a)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (.f64 a b) #s(literal 9 binary64)) (pow.f64 b #s(literal 18 binary64))) (pow.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (.f64 a a)))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 a b) #s(literal 6 binary64)) #s(literal 64 binary64) (-.f64 (pow.f64 b #s(literal 12 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 a b) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (*.f64 a a)))))
(/.f64 (-.f64 (pow.f64 (.f64 b (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) #s(literal 2 binary64))) (fma.f64 b (/.f64 (.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(/.f64 (-.f64 (pow.f64 (.f64 b (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 b (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) #s(literal 2 binary64)) (.f64 (.f64 b (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)))) (neg.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (*.f64 (neg.f64 b) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 a b) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (neg.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (.f64 a a)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 a b) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 8 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (*.f64 a a))))))
(/.f64 (.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (.f64 a b) #s(literal 9 binary64)) (pow.f64 b #s(literal 18 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 a b) #s(literal 6 binary64)) #s(literal 64 binary64) (-.f64 (pow.f64 b #s(literal 12 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 3 binary64)) #s(literal 8 binary64)))) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (*.f64 a a))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b) (fma.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 a b) #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 8 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (.f64 a a)))) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64))) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (.f64 a b) #s(literal 9 binary64)) (pow.f64 b #s(literal 18 binary64))) (.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (.f64 a a)))) (fma.f64 (pow.f64 (.f64 a b) #s(literal 6 binary64)) #s(literal 64 binary64) (-.f64 (pow.f64 b #s(literal 12 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) a) #s(literal 3 binary64)) #s(literal 8 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (neg.f64 b) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 a b) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (.f64 a a))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 a b) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (.f64 a a)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 a b) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (.f64 a a))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (neg.f64 b) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 a b) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (neg.f64 (.f64 (.f64 b b) (fma.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 4 binary64) (.f64 a a)))))))
(fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 (.f64 a b))) (.f64 b b))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) b))) a (.f64 b b))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) a))) b (.f64 b b))
(fma.f64 (exp.f64 (log.f64 (.f64 a b))) (exp.f64 (log.f64 #s(literal 2 binary64))) (.f64 b b))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (.f64 b b) (.f64 (fma.f64 #s(literal 2 binary64) a b) b))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 a b)) b) (/.f64 (*.f64 a b) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (/.f64 (.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) b) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) b) b) (/.f64 (.f64 #s(literal 2 binary64) a) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) b) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) b) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (/.f64 (.f64 a b) b) (/.f64 (.f64 #s(literal 4 binary64) (*.f64 a b)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 a b)) (/.f64 (.f64 a b) (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) b) (/.f64 (.f64 #s(literal 2 binary64) a) (*.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (.f64 #s(literal 2 binary64) b) a (.f64 b b))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (*.f64 a b)) a) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (.f64 #s(literal 2 binary64) a) b (.f64 b b))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (.f64 b b) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 #s(literal 2 binary64) (.f64 a b) (.f64 b b))
(fma.f64 (.f64 a b) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a b)) (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 (.f64 a b) #s(literal 2 binary64) (.f64 b b))
(fma.f64 a (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) b))) (.f64 b b))
(fma.f64 a (.f64 #s(literal 2 binary64) b) (.f64 b b))
(fma.f64 b (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) a))) (.f64 b b))
(fma.f64 b (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 a b)) a) (.f64 (fma.f64 #s(literal 2 binary64) a (neg.f64 b)) b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 b (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(fma.f64 b (.f64 #s(literal 2 binary64) a) (.f64 b b))
(fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a b)))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) #s(literal 2 binary64)) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))))
(-.f64 (.f64 b (/.f64 (.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 b (/.f64 (.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) a (neg.f64 b)))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 a b)) (*.f64 b b))
(+.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (*.f64 a b)))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 a b)
(*.f64 b a)
(*.f64 b b)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 b))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(/.f64 (pow.f64 b #s(literal 3 binary64)) b)
(exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)) (log.f64 b)))
(exp.f64 (.f64 (.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))

eval14.0ms (0.3%)

Memory: 25.3MiB live, 25.3MiB allocated
Compiler: Compiled 3 585 to 433 computations (87.9% saved)

prune4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	115	5	120

Accuracy

100.0%

Counts

120 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.9%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b)))
✓	99.9%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	99.2%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 133 to 53 computations (60.2% saved)

regimes34.0ms (0.7%)

Memory

-20.6MiB live, 24.4MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b)))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))

Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))

Calls

4 calls:

26.0ms	(+.f64 a b)
2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
100.0%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes8.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b)))

Outputs
(*.f64 (+.f64 a b) (+.f64 a b))

Calls

4 calls:

2.0ms	(+.f64 a b)
2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
100.0%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes14.0ms (0.3%)

Memory

-25.3MiB live, 12.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))

Calls

4 calls:

10.0ms	b
1.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	(+.f64 a b)
1.0ms	a

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.9%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes4.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Calls

4 calls:

1.0ms	(+.f64 a b)
1.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
99.2%	1	`a`
99.2%	1	`b`
99.2%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.2%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify10.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	22	49
2	38	49
3	66	49
4	89	49
5	104	49
6	113	49
7	119	49

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

soundness459.0ms (9.8%)

Memory

-25.2MiB live, 165.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	125
1	193	125
2	488	125
3	1603	117
4	3903	117
5	7023	117
0	8059	101

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 52 to 22 computations (57.7% saved)

preprocess61.0ms (1.3%)

Memory: 4.0MiB live, 89.9MiB allocated
Compiler: Compiled 210 to 90 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze47.0ms (1%)

sample1.6s (33%)

explain83.0ms (1.8%)

preprocess83.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize18.0ms (0.4%)

series3.0ms (0.1%)

simplify215.0ms (4.6%)

rewrite326.0ms (6.9%)

eval251.0ms (5.3%)

prune33.0ms (0.7%)

simplify6.0ms (0.1%)

localize82.0ms (1.8%)

series9.0ms (0.2%)

simplify110.0ms (2.3%)

rewrite363.0ms (7.7%)

eval203.0ms (4.3%)

prune95.0ms (2%)

simplify5.0ms (0.1%)

localize20.0ms (0.4%)

series4.0ms (0.1%)

simplify243.0ms (5.2%)

rewrite333.0ms (7.1%)

eval14.0ms (0.3%)

prune4.0ms (0.1%)

regimes34.0ms (0.7%)

regimes8.0ms (0.2%)

regimes14.0ms (0.3%)

regimes4.0ms (0.1%)

simplify10.0ms (0.2%)

soundness459.0ms (9.8%)

preprocess61.0ms (1.3%)

end0.0ms (0%)

Profiling