Metrics for Expression 4, p15

start0.0ms (0%)

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

analyze42.0ms (1%)

Memory

9.0MiB live, 51.1MiB allocated; 11ms 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 (32.4%)

Memory

71.6MiB live, 1 447.0MiB allocated; 363ms collecting garbage

Samples

917.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 616.0ms

const: 215.0ms (34.9% of total)

ival-add: 173.0ms (28.1% of total)

ival-<=: 100.0ms (16.2% of total)

ival-mult: 79.0ms (12.8% of total)

ival-and: 27.0ms (4.4% of total)

exact: 15.0ms (2.4% of total)

adjust: 3.0ms (0.5% of total)

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

Bogosity

explain98.0ms (2.3%)

Memory

-74.4MiB live, 64.6MiB allocated; 87ms 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

76.0ms

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 (42.4% of total)

ival-mult: 3.0ms (42.4% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess173.0ms (4.1%)

Memory

16.2MiB live, 108.6MiB allocated; 13ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

simplify66.0ms (1.6%)

Memory

-25.5MiB live, 27.3MiB allocated; 6ms 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

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

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

Samples

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 (58.4% of total)

ival-add: 1.0ms (29.2% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms 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
1.0ms	b	@	-inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	a	@	-inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	a	@	inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	b	@	inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	a	@	0	((* (+ a b) (+ a b)) (+ a b))

simplify205.0ms (4.9%)

Memory

2.1MiB live, 280.1MiB allocated; 31ms 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)))

rewrite169.0ms (4%)

Memory

37.8MiB live, 261.4MiB allocated; 45ms 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)

eval176.0ms (4.2%)

Memory: -9.4MiB live, 236.1MiB allocated; 64ms collecting garbage
Compiler: Compiled 16 595 to 1 409 computations (91.5% saved)

prune16.0ms (0.4%)

Memory

-5.0MiB live, 39.9MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	714	4	718
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	714	5	719

Accuracy

100.0%

Counts

719 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(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)))
▶	99.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
▶	98.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 60 to 33 computations (45% saved)

simplify209.0ms (5%)

Memory

20.5MiB live, 241.8MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	107
0	28	105
1	67	105
2	184	101
3	492	101
4	902	101
5	1355	101
6	2001	101
7	2601	101
8	3176	101
9	3564	101
10	4036	101
11	5882	101
0	8453	101

Stop Event

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

Calls

Call 1

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

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

localize47.0ms (1.1%)

Memory

-12.3MiB live, 93.2MiB allocated; 17ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 b b (fma.f64 b a (*.f64 (-.f64 b a) a)))
accuracy	0.0	(-.f64 b a)
accuracy	0.00390625	(fma.f64 b a (*.f64 (-.f64 b a) a))
accuracy	0.0078125	(*.f64 (-.f64 b a) a)
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	0.0078125	(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) a b)
accuracy	0.01171875	(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
accuracy	0.12892727942912705	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
accuracy	0.0	(*.f64 b b)
accuracy	0.7541058963714083	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Samples

37.0ms

256×

valid

Compiler

Compiled 96 to 18 computations (81.3% saved)

Precisions

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

ival-mult: 16.0ms (62% of total)

ival-add: 6.0ms (23.3% of total)

ival-sub: 3.0ms (11.6% 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)

series10.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

12 → 48

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))) (* (- b a) a) (- b a))
2.0ms	a	@	inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))) (* (- b a) a) (- b a))
1.0ms	a	@	-inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))) (* (- b a) a) (- b a))
1.0ms	b	@	inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))) (* (- b a) a) (- b a))
1.0ms	a	@	0	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (+ (* b a) (* (- b a) a)) (+ (* b b) (+ (* b a) (* (- b a) a))) (* (- b a) a) (- b a))

simplify265.0ms (6.3%)

Memory

-0.0MiB live, 240.8MiB allocated; 142ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	463
1	402	439
2	1444	404
3	5682	404
0	8108	385

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

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

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

rewrite222.0ms (5.3%)

Memory

-0.4MiB live, 373.7MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	94
0	28	86
1	134	86
2	1215	86
0	9451	86

Stop Event

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

Counts

12 → 416

Calls

Call 1

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

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

eval80.0ms (1.9%)

Memory: -6.9MiB live, 176.0MiB allocated; 34ms collecting garbage
Compiler: Compiled 18 310 to 1 802 computations (90.2% saved)

prune7.0ms (0.2%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	510	1	511
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	511	5	516

Accuracy

100.0%

Counts

516 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
✓	99.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 67 to 38 computations (43.3% saved)

simplify32.0ms (0.8%)

Memory

-20.5MiB live, 24.7MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
0	15	40
1	33	40
2	81	40
3	140	40
4	199	40
5	271	40
6	329	40
7	367	40
8	415	40
9	465	40
10	542	40
11	641	40
12	757	40
13	853	40
14	898	40
15	945	40
16	965	40
17	980	40
0	980	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (0.9%)

Memory

-1.7MiB live, 42.1MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
accuracy	0.0	(.f64 (.f64 b a) #s(literal 2 binary64))
accuracy	0.0	(*.f64 b a)
accuracy	0.687206613710713	#s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

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

ival-mult: 6.0ms (56.8% of total)

ival-add: 2.0ms (18.9% of total)

ival-sub: 1.0ms (9.5% 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)

series5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

4 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

simplify217.0ms (5.2%)

Memory

36.0MiB live, 222.8MiB allocated; 71ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	178
1	191	178
2	665	154
3	2867	150
0	8505	144

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

rewrite235.0ms (5.6%)

Memory

-24.9MiB live, 260.1MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	15	37
1	69	37
2	522	37
3	6232	37
0	8095	37

Stop Event

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

Counts

4 → 70

Calls

Call 1

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

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

eval11.0ms (0.3%)

Memory: 20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 382 to 272 computations (94.9% saved)

prune4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	82	5	87

Accuracy

100.0%

Counts

87 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 b b #s(approx (+ (* b a) (* (- b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
✓	99.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 145 to 65 computations (55.2% saved)

regimes38.0ms (0.9%)

Memory

-27.0MiB live, 17.8MiB allocated; 12ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	b
2.0ms	(+.f64 a b)
2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	a

Results

Accuracy	Segments	Branch
100.0%	1	`(+.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

14.8MiB live, 14.8MiB 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	(+.f64 a b)
2.0ms	b
2.0ms	(*.f64 (+.f64 a b) (+.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

14.0MiB live, 14.0MiB 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	b
1.0ms	(+.f64 a b)
1.0ms	a

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes23.0ms (0.6%)

Memory

-32.3MiB live, 13.3MiB allocated; 9ms 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:

20.0ms	a
1.0ms	(+.f64 a b)
1.0ms	b
1.0ms	(*.f64 (+.f64 a b) (+.f64 a b))

Results

Accuracy	Segments	Branch
98.8%	1	`(+.f64 a b)`
98.8%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.8%	1	`a`
98.8%	1	`b`

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify55.0ms (1.3%)

Memory

7.2MiB live, 62.5MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	28	49
2	66	49
3	186	49
4	526	49
5	885	49
6	1708	49
7	4092	49
8	6212	49

Stop Event

1×	node 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)))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

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

derivations276.0ms (6.6%)

Memory

-16.8MiB live, 189.5MiB allocated; 40ms collecting garbage

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 49 to 15 computations (69.4% saved)

preprocess84.0ms (2%)

Memory: 11.8MiB live, 58.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 210 to 90 computations (57.1% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	11	44
0	15	40
1	33	40
2	81	40
3	140	40
4	199	40
5	271	40
6	329	40
7	367	40
8	415	40
9	465	40
10	542	40
11	641	40
12	757	40
13	853	40
14	898	40
15	945	40
16	965	40
17	980	40
0	980	40

Iter	Nodes	Cost
0	11	44
0	15	40
1	33	40
2	81	40
3	140	40
4	199	40
5	271	40
6	329	40
7	367	40
8	415	40
9	465	40
10	542	40
11	641	40
12	757	40
13	853	40
14	898	40
15	945	40
16	965	40
17	980	40
0	980	40

start0.0ms (0%)

analyze42.0ms (1%)

sample1.4s (32.4%)

explain98.0ms (2.3%)

preprocess173.0ms (4.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify66.0ms (1.6%)

localize13.0ms (0.3%)

series3.0ms (0.1%)

simplify205.0ms (4.9%)

rewrite169.0ms (4%)

eval176.0ms (4.2%)

prune16.0ms (0.4%)

simplify209.0ms (5%)

localize47.0ms (1.1%)

series10.0ms (0.2%)

simplify265.0ms (6.3%)

rewrite222.0ms (5.3%)

eval80.0ms (1.9%)

prune7.0ms (0.2%)

simplify32.0ms (0.8%)

localize38.0ms (0.9%)

series5.0ms (0.1%)

simplify217.0ms (5.2%)

rewrite235.0ms (5.6%)

eval11.0ms (0.3%)

prune4.0ms (0.1%)

regimes38.0ms (0.9%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

regimes23.0ms (0.6%)

simplify55.0ms (1.3%)

derivations276.0ms (6.6%)

preprocess84.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	44
0	15	40
1	33	40
2	81	40
3	140	40
4	199	40
5	271	40
6	329	40
7	367	40
8	415	40
9	465	40
10	542	40
11	641	40
12	757	40
13	853	40
14	898	40
15	945	40
16	965	40
17	980	40
0	980	40