Metrics for Expression 4, p15

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze16.0ms (0.6%)

Memory

-1.8MiB live, 6.1MiB 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)

sample733.0ms (26.7%)

Memory

8.7MiB live, 288.3MiB allocated

Samples

473.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

const: 102.0ms (33.4% of total)

ival-<=: 76.0ms (24.9% of total)

ival-add: 45.0ms (14.7% of total)

ival-mult: 45.0ms (14.7% of total)

ival-and: 23.0ms (7.5% of total)

exact: 11.0ms (3.6% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain35.0ms (1.3%)

Memory

-2.0MiB live, 21.3MiB 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

Total Time

9.429931640625

Average Time

0.036835670471191406

Samples

16.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

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

ival-add: 3.0ms (50.9% of total)

ival-mult: 3.0ms (50.9% of total)

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

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

preprocess79.0ms (2.9%)

Memory

-3.2MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	50	35
2	210	35
3	533	35
4	1075	35
5	1970	35
6	2756	35
7	2900	35
8	2900	35
9	2900	35
10	2942	35
11	2958	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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 (0.2%)

Memory

0.7MiB live, 0.7MiB 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

localize11.0ms (0.4%)

Memory

4.9MiB live, 4.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 a b)
accuracy	0.01953125	(*.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 (35.6% of total)

ival-mult: 1.0ms (35.6% 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))

simplify86.0ms (3.1%)

Memory

-1.8MiB live, 19.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	125
1	193	125
2	488	125
3	1576	117
4	3867	117
5	6920	117
0	8073	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)

rewrite186.0ms (6.8%)

Memory

-10.8MiB live, 82.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2817	8
0	9151	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)

eval130.0ms (4.7%)

Memory: 4.7MiB live, 107.6MiB allocated
Compiler: Compiled 43 302 to 2 968 computations (93.1% saved)

prune14.0ms (0.5%)

Memory

1.6MiB live, 38.6MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1 085	3	1 088
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 085	4	1 089

Accuracy

100.0%

Counts

1 089 → 4

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))
▶	99.6%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
▶	98.4%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 42 to 23 computations (45.2% saved)

simplify5.0ms (0.2%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iter	Nodes	Cost
0	13	62
0	21	59
1	36	59
2	53	59
3	88	59
4	113	59
5	128	59
6	139	59
0	139	59

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
(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
(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)

localize28.0ms (1%)

Memory

-2.9MiB live, 12.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 b a)
accuracy	0.0078125	(*.f64 (+.f64 b a) a)
accuracy	0.01171875	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
accuracy	0	(fma.f64 #s(literal 2 binary64) a b)
accuracy	0.0078125	(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
accuracy	0.2656036427728442	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
accuracy	0	(*.f64 b b)
accuracy	1.0558673679655763	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Samples

20.0ms

256×

valid

Compiler

Compiled 118 to 28 computations (76.3% saved)

Precisions

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

ival-mult: 8.0ms (64.5% of total)

ival-add: 4.0ms (32.3% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

8 → 35

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

Calls

6 calls:

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

simplify105.0ms (3.8%)

Memory

-5.8MiB live, 25.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	207
1	283	207
2	768	207
3	2258	199
4	4756	199
5	7899	199
0	8321	175

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 33

Calls

Call 1

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

rewrite156.0ms (5.7%)

Memory

0.5MiB live, 60.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
0	21	47
1	79	47
2	658	47
0	8240	47

Stop Event

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

Counts

8 → 692

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 (+.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 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)) b) (-.f64 (.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 (fma.f64 #s(literal 2 binary64) a b) b)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (.f64 (.f64 (+.f64 b a) a) (-.f64 a b))))
(/.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 #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 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))

eval90.0ms (3.3%)

Memory: 3.4MiB live, 76.4MiB allocated
Compiler: Compiled 23 807 to 2 133 computations (91% saved)

prune9.0ms (0.3%)

Memory

2.9MiB live, 28.9MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	805	1	806
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	806	4	810

Accuracy

100.0%

Counts

810 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.6%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.4%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 46 to 26 computations (43.5% saved)

simplify3.0ms (0.1%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	12	31
1	17	31
2	23	31
3	31	31
4	35	31
0	35	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.6%)

Memory

-0.2MiB live, 7.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 b a)
accuracy	0	(*.f64 b a)
accuracy	0.01171875	(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
accuracy	0.9993075279484077	#s(approx (* (+ b a) a) (*.f64 b a))

Samples

12.0ms

256×

valid

Compiler

Compiled 57 to 17 computations (70.2% saved)

Precisions

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

ival-mult: 4.0ms (59% of total)

ival-add: 2.0ms (29.5% of total)

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

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

series4.0ms (0.2%)

Memory

-5.7MiB live, 2.0MiB allocated

Counts

4 → 25

Calls

Call 1

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

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

Calls

6 calls:

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

simplify107.0ms (3.9%)

Memory

0.5MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	153
1	230	153
2	604	153
3	1843	145
4	4318	145
5	7382	145
0	8216	129

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 23

Calls

Call 1

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

rewrite147.0ms (5.4%)

Memory

0.2MiB live, 49.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	12	29
1	41	29
2	295	29
3	3582	29
0	9378	29

Stop Event

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

Counts

4 → 225

Calls

Call 1

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

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

eval28.0ms (1%)

Memory: 1.1MiB live, 23.1MiB allocated
Compiler: Compiled 9 554 to 724 computations (92.4% saved)

prune4.0ms (0.2%)

Memory

0.2MiB live, 9.5MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	232	4	236

Accuracy

100.0%

Counts

236 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.6%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.4%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 102 to 46 computations (54.9% saved)

regimes9.0ms (0.3%)

Memory

-0.6MiB live, 7.2MiB 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 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))

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

Calls

4 calls:

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

regimes8.0ms (0.3%)

Memory

-1.2MiB live, 6.8MiB 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))
(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))

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

Calls

4 calls:

2.0ms	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)

regimes6.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB 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:

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

Results

Accuracy	Segments	Branch
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.6%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes5.0ms (0.2%)

Memory

-2.1MiB live, 5.8MiB 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	a
1.0ms	b

Results

Accuracy	Segments	Branch
98.4%	1	`a`
98.4%	1	`b`
98.4%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.4%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify34.0ms (1.2%)

Memory

-8.6MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	19	42

Stop Event

1×

saturated

Calls

Call 1

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

soundness623.0ms (22.7%)

Memory

2.1MiB live, 2.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2817	8
0	9151	8
0	65	125
1	193	125
2	488	125
3	1576	117
4	3867	117
5	6920	117
0	8073	101

Stop Event

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

Compiler

Compiled 72 to 28 computations (61.1% saved)

preprocess53.0ms (1.9%)

Memory: 5.2MiB live, 28.2MiB allocated
Compiler: Compiled 188 to 82 computations (56.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze16.0ms (0.6%)

sample733.0ms (26.7%)

explain35.0ms (1.3%)

preprocess79.0ms (2.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.2%)

localize11.0ms (0.4%)

series2.0ms (0.1%)

simplify86.0ms (3.1%)

rewrite186.0ms (6.8%)

eval130.0ms (4.7%)

prune14.0ms (0.5%)

simplify5.0ms (0.2%)

localize28.0ms (1%)

series6.0ms (0.2%)

simplify105.0ms (3.8%)

rewrite156.0ms (5.7%)

eval90.0ms (3.3%)

prune9.0ms (0.3%)

simplify3.0ms (0.1%)

localize17.0ms (0.6%)

series4.0ms (0.2%)

simplify107.0ms (3.9%)

rewrite147.0ms (5.4%)

eval28.0ms (1%)

prune4.0ms (0.2%)

regimes9.0ms (0.3%)

regimes8.0ms (0.3%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

simplify34.0ms (1.2%)

soundness623.0ms (22.7%)

preprocess53.0ms (1.9%)

end0.0ms (0%)

Profiling