Metrics for Expression 4, p15

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze40.0ms (0.9%)

Memory

-16.7MiB live, 26.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.5s (32.6%)

Memory

37.3MiB live, 1 523.2MiB allocated

Samples

832.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 535.0ms

ival-<=: 204.0ms (38.1% of total)

const: 187.0ms (35% of total)

ival-mult: 53.0ms (9.9% of total)

ival-add: 50.0ms (9.3% of total)

ival-and: 23.0ms (4.3% of total)

exact: 14.0ms (2.6% of total)

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

Bogosity

explain85.0ms (1.9%)

Memory

6.0MiB live, 89.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

64.0ms

512×

valid

Compiler

Compiled 37 to 16 computations (56.8% saved)

Precisions

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

ival-add: 3.0ms (45.3% of total)

ival-mult: 3.0ms (45.3% of total)

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

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

preprocess109.0ms (2.4%)

Memory

-2.9MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Rules

570×	`distribute-rgt-in`
518×	`unsub-neg`
446×	`distribute-lft-in`
286×	`distribute-lft-out`
280×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	50	35
2	210	35
3	533	35
4	1075	35
5	1970	35
6	2756	35
7	2900	35
8	2900	35
9	2900	35
10	2942	35
11	2958	35
0	4	7
0	6	7
1	13	7
2	29	7
3	57	7
4	80	7
5	96	7
6	105	7
7	111	7
0	111	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a b)

Compiler

Compiled 9 to 4 computations (55.6% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify6.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

124×	`lower-fma.f64`
124×	`lower-fma.f32`
86×	`lower-+.f32`
84×	`lower-+.f64`
50×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.7%)

Memory

-15.6MiB live, 23.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 a b)
accuracy	0.0078125	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

26.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (49% of total)

ival-add: 1.0ms (24.5% of total)

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

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

series3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (*.f64 (+.f64 a b) (+.f64 a b))>
#<alt (+.f64 a b)>

Outputs
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>

Calls

6 calls:

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

simplify165.0ms (3.6%)

Memory

9.6MiB live, 214.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 026×	`lower-fma.f64`
7 026×	`lower-fma.f32`
2 898×	`lower-*.f64`
2 898×	`lower-*.f32`
1 650×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	270
1	193	264
2	488	264
3	1576	252
4	3881	252
5	6929	252
0	8083	222

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 42

Calls

Call 1

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

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

rewrite374.0ms (8.2%)

Memory

-4.8MiB live, 515.2MiB allocated

Rules

5 646×	`lower-*.f32`
5 644×	`lower-*.f64`
4 194×	`lower-fma.f64`
4 194×	`lower-fma.f32`
3 878×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 989

Calls

Call 1

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

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

eval208.0ms (4.6%)

Memory: 19.9MiB live, 366.9MiB allocated
Compiler: Compiled 52 177 to 2 960 computations (94.3% saved)

prune147.0ms (3.2%)

Memory

-16.2MiB live, 304.7MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1 138	3	1 141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 138	4	1 142

Accuracy

100.0%

Counts

1 142 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	99.7%	#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 a #s(literal 2 binary64) b)))
▶	98.7%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 36 to 17 computations (52.8% saved)

simplify7.0ms (0.2%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a (+.f64 a b))
cost-diff	0	(+.f64 a b)
cost-diff	384	(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
cost-diff	0	(fma.f64 a #s(literal 2 binary64) b)
cost-diff	0	(*.f64 b (fma.f64 a #s(literal 2 binary64) b))
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 a #s(literal 2 binary64) b)))
cost-diff	0	(*.f64 b b)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Rules

124×	`lower-fma.f32`
120×	`lower-fma.f64`
86×	`lower-+.f32`
84×	`lower-+.f64`
46×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
0	21	59
1	39	59
2	61	59
3	81	59
4	104	59
5	119	59
0	119	59

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.8%)

Memory

-5.4MiB live, 69.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
accuracy	0	(+.f64 a b)
accuracy	0.0078125	(*.f64 a (+.f64 a b))
accuracy	0	(fma.f64 a #s(literal 2 binary64) b)
accuracy	0.01171875	(*.f64 b (fma.f64 a #s(literal 2 binary64) b))
accuracy	0.21118211882685362	#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 a #s(literal 2 binary64) b)))
accuracy	0	(*.f64 b b)
accuracy	0.8492773993483982	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Samples

22.0ms

256×

valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 10.0ms (73.5% of total)

ival-add: 4.0ms (29.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

8 → 180

Calls

Call 1

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

Outputs
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (* 2 (* a b))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* 2 a)>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (pow a 2)>
#<alt (+ (* a b) (pow a 2))>
#<alt (+ (* a b) (pow a 2))>
#<alt (+ (* a b) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* a b)>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt b>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (* a b)>
#<alt (* a (+ a b))>
#<alt (* a (+ a b))>
#<alt (* a (+ a b))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* 2 (* a b))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* a (+ 2 (/ b a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* 2 (* a b))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>

Calls

6 calls:

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

simplify422.0ms (9.3%)

Memory

-172.8MiB live, 304.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 726×	`lower-fma.f64`
8 726×	`lower-fma.f32`
2 964×	`lower-*.f64`
2 964×	`lower-*.f32`
1 708×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1050
1	283	1032
2	768	1032
3	2244	1032
4	4776	1032
5	7926	1032
0	8343	906

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 171

Calls

Call 1

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

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

rewrite504.0ms (11.1%)

Memory

-0.7MiB live, 318.9MiB allocated

Rules

8 410×	`lower-fma.f32`
8 406×	`lower-fma.f64`
5 450×	`lower-*.f32`
5 444×	`lower-*.f64`
3 506×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
0	21	47
1	72	47
2	568	47
0	8090	47

Stop Event

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

Counts

8 → 445

Calls

Call 1

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

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

eval240.0ms (5.3%)

Memory: -17.0MiB live, 185.3MiB allocated
Compiler: Compiled 17 799 to 1 382 computations (92.2% saved)

prune119.0ms (2.6%)

Memory

-1.6MiB live, 161.1MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	696	0	696
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	696	4	700

Accuracy

100.0%

Counts

700 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.7%	#s(approx (* (+ a b) (+ a b)) (*.f64 b (fma.f64 a #s(literal 2 binary64) b)))
✓	98.7%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 66 to 27 computations (59.1% saved)

regimes9.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 20 to 11 computations (45% saved)

regimes45.0ms (1%)

Memory

-15.6MiB live, 23.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

39.0ms	b
2.0ms	(+.f64 a b)
2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	a

Results

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

Compiler

Compiled 20 to 11 computations (45% saved)

regimes6.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(*.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	`a`
99.7%	1	`b`
99.7%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.7%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes7.0ms (0.2%)

Memory

-17.4MiB live, 20.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`a`
98.7%	1	`b`
98.7%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.7%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

simplify6.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	17	42

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness427.0ms (9.4%)

Memory

9.2MiB live, 246.8MiB allocated

Rules

7 026×	`lower-fma.f64`
7 026×	`lower-fma.f32`
5 646×	`lower-*.f32`
5 644×	`lower-*.f64`
4 194×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2817	8
0	9151	8
0	65	270
1	193	264
2	488	264
3	1576	252
4	3881	252
5	6929	252
0	8083	222

Stop Event

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

Compiler

Compiled 62 to 24 computations (61.3% saved)

preprocess51.0ms (1.1%)

Memory: 21.1MiB live, 127.9MiB allocated
Compiler: Compiled 160 to 64 computations (60% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze40.0ms (0.9%)

sample1.5s (32.6%)

explain85.0ms (1.9%)

preprocess109.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize31.0ms (0.7%)

series3.0ms (0.1%)

simplify165.0ms (3.6%)

rewrite374.0ms (8.2%)

eval208.0ms (4.6%)

prune147.0ms (3.2%)

simplify7.0ms (0.2%)

localize35.0ms (0.8%)

series7.0ms (0.2%)

simplify422.0ms (9.3%)

rewrite504.0ms (11.1%)

eval240.0ms (5.3%)

prune119.0ms (2.6%)

regimes9.0ms (0.2%)

regimes45.0ms (1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.2%)

simplify6.0ms (0.1%)

soundness427.0ms (9.4%)

preprocess51.0ms (1.1%)

end0.0ms (0%)

Profiling