Metrics for Expression 4, p15

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze22.0ms (0.5%)

Memory

9.9MiB live, 54.7MiB allocated; 7ms collecting garbage

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)

sample1.4s (30.9%)

Memory

-7.3MiB live, 1 486.2MiB allocated; 306ms collecting garbage

Samples

945.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 633.0ms

const: 187.0ms (29.5% of total)

ival-add: 181.0ms (28.6% of total)

ival-<=: 168.0ms (26.5% of total)

ival-mult: 51.0ms (8.1% of total)

ival-and: 27.0ms (4.3% of total)

exact: 14.0ms (2.2% of total)

adjust: 3.0ms (0.5% of total)

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

Bogosity

explain46.0ms (1%)

Memory

14.9MiB live, 106.0MiB allocated; 8ms collecting garbage

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

20.0ms

512×

valid

Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions

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

ival-add: 3.0ms (44.2% of total)

ival-mult: 3.0ms (44.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess174.0ms (4%)

Memory

15.9MiB live, 106.9MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	49	45
2	194	41
3	684	39
4	1068	39
5	1714	35
6	2992	35
7	3766	35
8	4258	35
9	4370	35
10	4482	35
11	4482	35
12	4602	35
13	4782	35
14	4962	35
0	4	7
0	6	7
1	17	7
2	53	7
3	170	7
4	506	7
5	852	7
6	1525	7
7	2334	7
8	2779	7
9	3057	7
10	3181	7
11	3217	7
0	3217	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a b)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

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)

simplify64.0ms (1.5%)

Memory

-16.6MiB live, 75.0MiB allocated; 9ms collecting garbage

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	17	12
2	53	12
3	170	12
4	506	12
5	852	12
6	1525	12
7	2334	12
8	2779	12
9	3057	12
10	3181	12
11	3217	12
0	3217	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

localize13.0ms (0.3%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 a b)
accuracy	0.029628759768442016	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

9.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-mult: 2.0ms (59.6% of total)

ival-add: 1.0ms (29.8% of total)

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

adjust: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

-39.3MiB live, 6.2MiB allocated; 6ms collecting garbage

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
5.0ms	b	@	0	((* (+ a b) (+ a b)) (+ a b))
1.0ms	b	@	-inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	a	@	inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	a	@	-inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	b	@	inf	((* (+ a b) (+ a b)) (+ a b))

simplify194.0ms (4.4%)

Memory

31.9MiB live, 212.3MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	179
1	218	169
2	725	161
3	3280	161
0	8199	147

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

rewrite171.0ms (3.9%)

Memory

20.4MiB live, 167.0MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	32	8
2	253	8
3	3131	8
0	9441	8

Stop Event

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

Counts

2 → 505

Calls

Call 1

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

Outputs
(.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(*.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))) (-.f64 b a))
(.f64 (fabs.f64 (/.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 2 binary64)))) (fabs.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(.f64 (fabs.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))))) (fabs.f64 (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(*.f64 (fabs.f64 (+.f64 (neg.f64 b) a)) (fabs.f64 (-.f64 (neg.f64 b) a)))
(*.f64 (fabs.f64 (+.f64 (neg.f64 a) b)) (fabs.f64 (-.f64 (neg.f64 a) b)))
(*.f64 (fabs.f64 (+.f64 a (neg.f64 b))) (fabs.f64 (-.f64 a (neg.f64 b))))
(*.f64 (fabs.f64 (+.f64 b (neg.f64 a))) (fabs.f64 (-.f64 b (neg.f64 a))))
(.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.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 (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (fabs.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #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)) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fabs.f64 (fma.f64 (-.f64 b a) b (.f64 a 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 (.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 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 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 (.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 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (-.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 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 b a))
(.f64 (/.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 2 binary64))) (fma.f64 (-.f64 b a) b (.f64 a 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 (.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 b) a) (-.f64 (neg.f64 b) a))
(*.f64 (+.f64 b (neg.f64 a)) (-.f64 b (neg.f64 a)))
(*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b))
(*.f64 (+.f64 a (neg.f64 b)) (-.f64 a (neg.f64 b)))
(*.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64))) (sqrt.f64 (-.f64 b a)))
(.f64 (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 b a) (neg.f64 (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) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal 2 binary64)))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64)))))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fabs.f64 (/.f64 (-.f64 b a) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(*.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fabs.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))))
(*.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (-.f64 b a) b (.f64 a a))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (fabs.f64 (/.f64 (-.f64 b a) (-.f64 b a))))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (fabs.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 b a) (-.f64 b a)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 b a) (-.f64 b a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 b a) (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))) (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64))))
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(/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (fabs.f64 (-.f64 (neg.f64 b) (neg.f64 a))))
(/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (fabs.f64 (-.f64 (neg.f64 a) (neg.f64 b))))
(/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 b a))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 a)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 b b) (.f64 (neg.f64 a) (neg.f64 b)))))
(/.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 (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))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(neg.f64 (-.f64 b a))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (neg.f64 b))) a)
(fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) a)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) a)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 (neg.f64 a))) b)
(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)) b)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) b)
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) (fma.f64 (-.f64 b a) b (.f64 a a)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (+.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 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (/.f64 (.f64 a a) (-.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 b (/.f64 b (-.f64 b a))))
(fma.f64 (/.f64 (.f64 a a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 b a) (.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) (fma.f64 (-.f64 b a) b (.f64 a a)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (/.f64 (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)))) (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (/.f64 (pow.f64 b #s(literal 3/2 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(fma.f64 (neg.f64 a) (/.f64 (neg.f64 a) (-.f64 b a)) (*.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 (.f64 b b) (/.f64 b (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (.f64 a a) (/.f64 a (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 b (/.f64 (.f64 b b) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 a (/.f64 (.f64 a a) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 a (/.f64 a (-.f64 b a)) (*.f64 b (/.f64 b (-.f64 b a))))
(sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(-.f64 (.f64 b (/.f64 b (-.f64 b a))) (.f64 a (/.f64 a (-.f64 b a))))
(-.f64 (.f64 a (/.f64 a (-.f64 b a))) (.f64 b (/.f64 b (-.f64 b a))))
(-.f64 b a)
(-.f64 a b)
(fabs.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))))
(fabs.f64 (-.f64 b a))
(hypot.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))
(hypot.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))
(hypot.f64 (neg.f64 (neg.f64 b)) a)
(hypot.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b)))
(hypot.f64 (neg.f64 (neg.f64 a)) (neg.f64 b))
(hypot.f64 (neg.f64 (neg.f64 a)) b)
(hypot.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))
(hypot.f64 (neg.f64 b) (neg.f64 a))
(hypot.f64 (neg.f64 b) a)
(hypot.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))
(hypot.f64 (neg.f64 a) (neg.f64 b))
(hypot.f64 (neg.f64 a) b)
(hypot.f64 b (neg.f64 (neg.f64 a)))
(hypot.f64 b (neg.f64 a))
(hypot.f64 b a)
(hypot.f64 a (neg.f64 (neg.f64 b)))
(hypot.f64 a (neg.f64 b))
(hypot.f64 a b)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (-.f64 b a)))
(+.f64 (cosh.f64 (log.f64 (-.f64 b a))) (sinh.f64 (log.f64 (-.f64 b a))))
(+.f64 (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(+.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))
(+.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b)))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(+.f64 (.f64 a (/.f64 a (-.f64 b a))) (.f64 b (/.f64 b (-.f64 b a))))
(+.f64 (neg.f64 b) (neg.f64 a))
(+.f64 (neg.f64 a) (neg.f64 b))
(+.f64 b a)
(+.f64 a b)

eval110.0ms (2.5%)

Memory: -33.4MiB live, 198.3MiB allocated; 52ms collecting garbage
Compiler: Compiled 16 595 to 1 409 computations (91.5% saved)

prune12.0ms (0.3%)

Memory

41.2MiB live, 41.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	713	5	718
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	713	6	719

Accuracy

100.0%

Counts

719 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(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) a b) b (*.f64 a a)))
▶	56.0%	#s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 (.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a))
▶	99.7%	#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 157 to 84 computations (46.5% saved)

simplify153.0ms (3.5%)

Memory

-35.0MiB live, 111.5MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64)))
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 (.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a))
cost-diff	3	(.f64 (fma.f64 (.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a)
cost-diff	4	(fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a)
cost-diff	0	(-.f64 b a)
cost-diff	0	(*.f64 (-.f64 b a) a)
cost-diff	0	(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
cost-diff	1	(fma.f64 b a (*.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))
cost-diff	0	(*.f64 a a)
cost-diff	0	(fma.f64 #s(literal 2 binary64) a b)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
cost-diff	2	(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	175
0	41	163
1	90	163
2	241	155
3	664	154
4	1420	152
5	3504	152
6	5995	152
0	8278	151

Stop Event

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

Calls

Call 1

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

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

localize75.0ms (1.7%)

Memory

3.4MiB live, 106.8MiB allocated; 10ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 (.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a))
accuracy	0.266288769536884	(*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64)))
accuracy	0.5195003540059595	(.f64 (fma.f64 (.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a) a)
accuracy	26.62337924895425	(fma.f64 (*.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal -2 binary64))) a a)
accuracy	0.0	(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
accuracy	0.0	(-.f64 b a)
accuracy	0.0078125	(fma.f64 b a (*.f64 (-.f64 b a) a))
accuracy	0.01953125	(*.f64 (-.f64 b a) a)
accuracy	0.0	(fma.f64 #s(literal 2 binary64) a b)
accuracy	0.02734375	(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
accuracy	0.20056062786413492	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
accuracy	0.0	(*.f64 b b)
accuracy	1.033763235449724	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) a b)
accuracy	0.0	(*.f64 a a)
accuracy	0.0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
accuracy	0.02734375	(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))

Samples

42.0ms

256×

valid

Compiler

Compiled 151 to 25 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 14.0ms (54.7% of total)

ival-add: 7.0ms (27.3% of total)

ival-sub: 3.0ms (11.7% of total)

ival-div: 2.0ms (7.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series15.0ms (0.4%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Counts

16 → 68

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	((+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (+ (* 2 a) b) (* a a) (* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))) (* (- b a) a) (- b a) (+ (* (* (/ b a) (- (/ b a) -2)) a) a) (* (+ (* (* (/ b a) (- (/ b a) -2)) a) a) a) (* (+ a b) (+ a b)) (* (/ b a) (- (/ b a) -2)))
3.0ms	b	@	-inf	((+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (+ (* 2 a) b) (* a a) (* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))) (* (- b a) a) (- b a) (+ (* (* (/ b a) (- (/ b a) -2)) a) a) (* (+ (* (* (/ b a) (- (/ b a) -2)) a) a) a) (* (+ a b) (+ a b)) (* (/ b a) (- (/ b a) -2)))
2.0ms	a	@	0	((+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (+ (* 2 a) b) (* a a) (* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))) (* (- b a) a) (- b a) (+ (* (* (/ b a) (- (/ b a) -2)) a) a) (* (+ (* (* (/ b a) (- (/ b a) -2)) a) a) a) (* (+ a b) (+ a b)) (* (/ b a) (- (/ b a) -2)))
2.0ms	b	@	inf	((+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (+ (* 2 a) b) (* a a) (* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))) (* (- b a) a) (- b a) (+ (* (* (/ b a) (- (/ b a) -2)) a) a) (* (+ (* (* (/ b a) (- (/ b a) -2)) a) a) a) (* (+ a b) (+ a b)) (* (/ b a) (- (/ b a) -2)))
2.0ms	a	@	inf	((+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (+ (* 2 a) b) (* a a) (* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))) (* (- b a) a) (- b a) (+ (* (* (/ b a) (- (/ b a) -2)) a) a) (* (+ (* (* (/ b a) (- (/ b a) -2)) a) a) a) (* (+ a b) (+ a b)) (* (/ b a) (- (/ b a) -2)))

simplify255.0ms (5.8%)

Memory

20.0MiB live, 149.9MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	641
1	542	613
2	1942	558
3	7045	558
0	8018	523

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 66

Calls

Call 1

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

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

rewrite252.0ms (5.7%)

Memory

-39.6MiB live, 229.7MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	151
0	41	141
1	182	141
2	1579	141
0	8393	141

Stop Event

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

Counts

16 → 484

Calls

Call 1

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

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

eval132.0ms (3%)

Memory: -13.8MiB live, 174.9MiB allocated; 22ms collecting garbage
Compiler: Compiled 21 114 to 2 159 computations (89.8% saved)

prune10.0ms (0.2%)

Memory

24.9MiB live, 24.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	578	3	581
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	581	6	587

Accuracy

100.0%

Counts

587 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(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 a a (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)))
✓	99.7%	#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))
▶	100.0%	#s(approx (* (+ a b) (+ a b)) #s(approx (+ (* (+ (* 2 a) b) b) (* a a)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))))

Compiler

Compiled 96 to 54 computations (43.8% saved)

simplify115.0ms (2.6%)

Memory

-11.6MiB live, 35.6MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	152
0	39	146
1	92	146
2	224	130
3	517	130
4	890	130
5	1239	130
6	1757	130
7	2442	130
8	2820	130
9	3103	130
10	3258	130
11	3339	130
12	3433	130
13	3529	130
14	3570	130
15	3613	130
16	3633	130
17	3648	130
18	3648	130
0	3648	130

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize74.0ms (1.7%)

Memory

8.1MiB live, 55.3MiB allocated; 2ms collecting garbage

Localize:

Found 12 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	0.916933229603707	#s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))
accuracy	0.0	(fma.f64 a #s(literal 2 binary64) b)
accuracy	0.0	#s(approx (* (+ a b) (+ a b)) (fma.f64 a a (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)))
accuracy	0.00390625	(fma.f64 a a (*.f64 (fma.f64 a #s(literal 2 binary64) b) b))
accuracy	0.02734375	(*.f64 (fma.f64 a #s(literal 2 binary64) b) b)
accuracy	0.0	(*.f64 b b)
accuracy	0.0	#s(approx (+ (* (+ (* 2 a) b) b) (* a a)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
accuracy	0.0	#s(approx (* (+ a b) (+ a b)) #s(approx (+ (* (+ (* 2 a) b) b) (* a a)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))))
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))

Samples

58.0ms

256×

valid

Compiler

Compiled 108 to 27 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 35.0ms (74.9% of total)

ival-add: 10.0ms (21.4% of total)

ival-sub: 1.0ms (2.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

13 → 43

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	b	@	-inf	((+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 2 b) a) (+ (* a a) (* (+ (* a 2) b) b)) (* (+ a b) (+ a b)) (* (+ (* a 2) b) b) (+ (* a 2) b) (+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a) (* b b))
1.0ms	a	@	-inf	((+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 2 b) a) (+ (* a a) (* (+ (* a 2) b) b)) (* (+ a b) (+ a b)) (* (+ (* a 2) b) b) (+ (* a 2) b) (+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a) (* b b))
1.0ms	b	@	inf	((+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 2 b) a) (+ (* a a) (* (+ (* a 2) b) b)) (* (+ a b) (+ a b)) (* (+ (* a 2) b) b) (+ (* a 2) b) (+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a) (* b b))
1.0ms	b	@	0	((+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 2 b) a) (+ (* a a) (* (+ (* a 2) b) b)) (* (+ a b) (+ a b)) (* (+ (* a 2) b) b) (+ (* a 2) b) (+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a) (* b b))
1.0ms	a	@	0	((+ (* (+ (* 2 b) a) a) (* b b)) (* (+ a b) (+ a b)) (+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 2 b) a) (+ (* a a) (* (+ (* a 2) b) b)) (* (+ a b) (+ a b)) (* (+ (* a 2) b) b) (+ (* a 2) b) (+ (* b b) (+ (* b a) (* (- b a) a))) (+ (* b a) (* (- b a) a)) (* (* b a) 2) (* b a) (* b b))

simplify203.0ms (4.6%)

Memory

-17.7MiB live, 125.7MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	424
1	363	408
2	1285	374
3	5358	374
0	8109	353

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 41

Calls

Call 1

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

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

rewrite268.0ms (6.1%)

Memory

-39.5MiB live, 140.6MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	143
0	39	131
1	207	131
2	1566	131
0	8536	131

Stop Event

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

Counts

13 → 278

Calls

Call 1

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

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

eval77.0ms (1.8%)

Memory: -10.4MiB live, 81.2MiB allocated; 13ms collecting garbage
Compiler: Compiled 13 333 to 1 396 computations (89.5% saved)

prune7.0ms (0.2%)

Memory

24.4MiB live, 24.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	311	0	311
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	311	6	317

Accuracy

100.0%

Counts

317 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(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 a a (*.f64 (fma.f64 a #s(literal 2 binary64) b) b)))
✓	99.7%	#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))
✓	100.0%	#s(approx (* (+ a b) (+ a b)) #s(approx (+ (* (+ (* 2 a) b) b) (* a a)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))))

Compiler

Compiled 242 to 102 computations (57.9% saved)

regimes32.0ms (0.7%)

Memory

-25.3MiB live, 21.9MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

4 calls:

22.0ms	(+.f64 a b)
3.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
3.0ms	b
3.0ms	a

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes7.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

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

Results

Accuracy	Segments	Branch
99.7%	1	`(+.f64 a b)`
99.7%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.7%	1	`a`
99.7%	1	`b`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify56.0ms (1.3%)

Memory

-28.1MiB live, 27.6MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	61
1	45	61
2	121	57
3	341	57
4	777	57
5	1178	57
6	1892	57
7	4106	57
8	6153	57

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations360.0ms (8.2%)

Memory

2.9MiB live, 282.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	641
1	542	613
2	1942	558
3	7045	558
0	8018	523
0	65	179
1	218	169
2	725	161
3	3280	161
0	8199	147

Stop Event

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

Compiler

Compiled 57 to 16 computations (71.9% saved)

preprocess109.0ms (2.5%)

Memory: -0.9MiB live, 146.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 308 to 116 computations (62.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze22.0ms (0.5%)

sample1.4s (30.9%)

explain46.0ms (1%)

preprocess174.0ms (4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify64.0ms (1.5%)

localize13.0ms (0.3%)

series7.0ms (0.2%)

simplify194.0ms (4.4%)

rewrite171.0ms (3.9%)

eval110.0ms (2.5%)

prune12.0ms (0.3%)

simplify153.0ms (3.5%)

localize75.0ms (1.7%)

series15.0ms (0.4%)

simplify255.0ms (5.8%)

rewrite252.0ms (5.7%)

eval132.0ms (3%)

prune10.0ms (0.2%)

simplify115.0ms (2.6%)

localize74.0ms (1.7%)

series11.0ms (0.3%)

simplify203.0ms (4.6%)

rewrite268.0ms (6.1%)

eval77.0ms (1.8%)

prune7.0ms (0.2%)

regimes32.0ms (0.7%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify56.0ms (1.3%)

derivations360.0ms (8.2%)

preprocess109.0ms (2.5%)

end0.0ms (0%)

Profiling