Metrics for Expression 4, p15

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze17.0ms (0.4%)

Memory

28.2MiB live, 28.2MiB 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)

sample1.1s (25%)

Memory

9.7MiB live, 1 286.6MiB allocated

Samples

704.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 486.0ms

ival-<=: 154.0ms (31.7% of total)

const: 134.0ms (27.6% of total)

ival-mult: 82.0ms (16.9% of total)

ival-add: 78.0ms (16.1% of total)

ival-and: 23.0ms (4.7% of total)

exact: 12.0ms (2.5% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain87.0ms (2%)

Memory

-20.9MiB live, 64.6MiB 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

66.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 39.0ms (70.1% of total)

ival-add: 16.0ms (28.7% of total)

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

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

preprocess80.0ms (1.8%)

Memory

-10.3MiB live, 28.7MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

simplify4.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB 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

localize12.0ms (0.3%)

Memory

6.5MiB live, 6.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 a b)
accuracy	0.0234375	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

8.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-add: 1.0ms (33.8% of total)

ival-mult: 1.0ms (33.8% of total)

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

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

series2.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB 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
0.0ms	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))

simplify165.0ms (3.8%)

Memory

-4.8MiB live, 77.4MiB 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)

rewrite392.0ms (9%)

Memory

19.6MiB live, 259.6MiB 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)

eval191.0ms (4.4%)

Memory: 0.6MiB live, 358.9MiB allocated
Compiler: Compiled 43 302 to 2 968 computations (93.1% saved)

prune24.0ms (0.5%)

Memory

-15.0MiB live, 67.4MiB 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 b b (fma.f64 b a (*.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)))
▶	99.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
▶	98.9%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 60 to 33 computations (45% saved)

simplify5.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 b a)
cost-diff	0	(*.f64 (+.f64 b a) a)
cost-diff	192	(fma.f64 b a (*.f64 (+.f64 b a) a))
cost-diff	384	(fma.f64 b b (fma.f64 b a (*.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	384	(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: 2 (0.0ms)

Iter	Nodes	Cost
0	17	107
0	30	104
1	55	104
2	82	97
3	119	97
4	130	97
5	136	97
0	136	97

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

localize78.0ms (1.8%)

Memory

2.8MiB live, 40.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a)))
accuracy	0.0	(fma.f64 b a (*.f64 (+.f64 b a) a))
accuracy	0.0	(+.f64 b a)
accuracy	0.00390625	(*.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	0.0078125	(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	0.01171875	(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
accuracy	0.1401648800477286	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
accuracy	0.0	(*.f64 b b)
accuracy	0.7095951556451464	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Samples

66.0ms

256×

valid

Compiler

Compiled 203 to 37 computations (81.8% saved)

Precisions

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

ival-mult: 11.0ms (59.4% of total)

ival-add: 7.0ms (37.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

12 → 44

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 b b (fma.f64 b a (*.f64 (+.f64 b a) a)))
(fma.f64 b a (*.f64 (+.f64 b a) a))
(*.f64 (+.f64 b a) a)
(+.f64 b 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))
(* 2 (* a b))
(* a (+ a (* 2 b)))
(* a b)
(* a (+ a 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 (+ (* 2 b) (/ (pow b 2) a)))
(* 2 a)
(* a (+ 2 (/ b a)))
a
(* a (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (/ b a)))
(* a (+ 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 (+ (* 2 a) (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) b)))
(* b (+ 1 (/ a 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 (+ (* -2 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (- (* -1 (/ a b)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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 b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b a))
2.0ms	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 b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b 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 b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b 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 b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b 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 b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b a))

simplify205.0ms (4.7%)

Memory

-20.9MiB live, 142.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	248
1	332	248
2	906	248
3	2597	248
4	5263	248
0	8058	216

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 42

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

rewrite261.0ms (6%)

Memory

-17.2MiB live, 225.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	30	87
1	130	82
2	1156	82
0	8366	82

Stop Event

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

Counts

12 → 646

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

eval209.0ms (4.8%)

Memory: 18.1MiB live, 93.2MiB allocated
Compiler: Compiled 20 575 to 2 005 computations (90.3% saved)

prune58.0ms (1.3%)

Memory

-11.5MiB live, 27.2MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	663	1	664
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	664	5	669

Accuracy

100.0%

Counts

669 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
✓	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)))
✓	99.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.9%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 67 to 38 computations (43.3% saved)

simplify4.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
0	15	40
1	25	40
2	40	40
3	50	40
4	53	40
5	53	40
0	53	38

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.5%)

Memory

18.0MiB live, 18.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
accuracy	0.0	(.f64 (.f64 b a) #s(literal 2 binary64))
accuracy	0.0	(*.f64 b a)
accuracy	0.6418315159495169	#s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 79 to 23 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (64.4% of total)

ival-add: 3.0ms (32.2% 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

4.2MiB live, 4.2MiB allocated

Counts

4 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

simplify142.0ms (3.3%)

Memory

6.4MiB live, 159.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	129
1	166	129
2	468	129
3	1336	129
4	3286	129
5	6800	129
0	8271	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))
(* 2 (* a b))
(* a (+ a (* 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)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) 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)))))
(* b (+ (* 2 a) (/ (pow a 2) b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (+ (* -2 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) b a) a (*.f64 b b))
(* 2 (* a b))
(.f64 (.f64 a b) #s(literal 2 binary64))
(* a (+ a (* 2 b)))
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(* a b)
(*.f64 a 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))
(* (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))
(+ (* 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 (+ (* 2 a) (/ (pow a 2) b)))
(*.f64 (fma.f64 #s(literal 2 binary64) b a) 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 (+ (* -2 a) (* -1 (/ (pow a 2) b)))))
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)

rewrite200.0ms (4.6%)

Memory

-30.9MiB live, 276.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	15	37
1	61	37
2	460	37
3	5389	37
0	8506	35

Stop Event

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

Counts

4 → 78

Calls

Call 1

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

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

eval12.0ms (0.3%)

Memory: 3.2MiB live, 42.6MiB allocated
Compiler: Compiled 4 494 to 251 computations (94.4% saved)

prune5.0ms (0.1%)

Memory

-35.7MiB live, 10.8MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	86	5	91

Accuracy

100.0%

Counts

91 → 5

Alt Table

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Status	Accuracy	Program
✓	99.8%	(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
✓	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)))
✓	99.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.9%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 145 to 65 computations (55.2% saved)

regimes10.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB 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))
(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a)))

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

Calls

4 calls:

3.0ms	b
2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	(+.f64 a 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)

regimes9.0ms (0.2%)

Memory

-15.2MiB live, 24.4MiB allocated

Counts

5 → 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))
(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))

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

Calls

4 calls:

3.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	(+.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

19.4MiB live, 19.4MiB 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))
(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))

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)

regimes7.0ms (0.2%)

Memory

-22.6MiB live, 16.8MiB 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:

3.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	b
1.0ms	a
1.0ms	(+.f64 a b)

Results

Accuracy	Segments	Branch
99.8%	1	`a`
99.8%	1	`b`
99.8%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.8%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes4.0ms (0.1%)

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`a`
98.9%	1	`b`
98.9%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.9%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify10.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	60
1	26	60
2	40	60
3	68	60
4	91	60
5	106	60
6	115	60
7	121	60

Stop Event

1×

saturated

Calls

Call 1

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

soundness988.0ms (22.6%)

Memory

-25.2MiB live, 247.4MiB 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
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
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 92 to 37 computations (59.8% saved)

preprocess48.0ms (1.1%)

Memory: 9.0MiB live, 84.4MiB allocated
Compiler: Compiled 208 to 86 computations (58.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze17.0ms (0.4%)

sample1.1s (25%)

explain87.0ms (2%)

preprocess80.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize12.0ms (0.3%)

series2.0ms (0.1%)

simplify165.0ms (3.8%)

rewrite392.0ms (9%)

eval191.0ms (4.4%)

prune24.0ms (0.5%)

simplify5.0ms (0.1%)

localize78.0ms (1.8%)

series10.0ms (0.2%)

simplify205.0ms (4.7%)

rewrite261.0ms (6%)

eval209.0ms (4.8%)

prune58.0ms (1.3%)

simplify4.0ms (0.1%)

localize22.0ms (0.5%)

series4.0ms (0.1%)

simplify142.0ms (3.3%)

rewrite200.0ms (4.6%)

eval12.0ms (0.3%)

prune5.0ms (0.1%)

regimes10.0ms (0.2%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

simplify10.0ms (0.2%)

soundness988.0ms (22.6%)

preprocess48.0ms (1.1%)

end0.0ms (0%)

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