Metrics for Expression, p14

analyze469.0ms (5.9%)

Memory

-164.8MiB live, 404.4MiB 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
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
25%	0%	0%	100%	0%	0%	0%	5
25%	0%	0%	100%	0%	0%	0%	6
25%	0%	0%	100%	0%	0%	0%	7
37.5%	0%	0%	100%	0%	0%	0%	8
56.3%	0%	0%	100%	0%	0%	0%	9
56.3%	0%	0%	100%	0%	0%	0%	10
56.3%	0%	0%	100%	0%	0%	0%	11
65.6%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 39 to 28 computations (28.2% saved)

sample2.5s (31%)

Memory

0.7MiB live, 1 945.4MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-<=: 320.0ms (31.6% of total)

ival-mult: 301.0ms (29.8% of total)

const: 236.0ms (23.3% of total)

ival-add: 97.0ms (9.6% of total)

ival-and: 39.0ms (3.9% of total)

exact: 16.0ms (1.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess114.0ms (1.4%)

Memory

-2.9MiB live, 44.7MiB allocated

Algorithm

1×	egg-herbie

Rules

1 182×	`unsub-neg`
762×	`distribute-lft-in`
694×	`distribute-rgt-in`
504×	`sub-neg`
396×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	112
1	169	102
2	566	99
3	1528	99
4	3238	99
5	4057	99
6	4495	99
7	4517	99
8	4517	99
9	4536	99
10	4536	99
11	4536	99
0	7	7
0	10	7
1	21	7
2	42	7
3	76	7
4	76	7
0	76	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs a)

(sort b c d)

explain76.0ms (1%)

Memory

15.5MiB live, 170.9MiB allocated

FPErrors

Click to see full error table

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

25.0ms

512×

valid

Compiler

Compiled 64 to 32 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 6.0ms (62.1% of total)

ival-mult: 3.0ms (31% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify5.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 b c)
✓	cost-diff	(+.f64 (+.f64 b c) d)
✓	cost-diff	(*.f64 a (+.f64 (+.f64 b c) d))

Rules

48×	`lower-fma.f64`
48×	`lower-fma.f32`
48×	`lower-+.f32`
44×	`lower-+.f64`
28×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	21	19
2	42	19
3	76	19
4	76	19
0	76	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

-32.0MiB live, 44.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 b c) d)
✓	accuracy	100.0%	(+.f64 b c)
✓	accuracy	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))

Samples

14.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-add: 5.0ms (74.1% of total)

ival-mult: 2.0ms (29.6% of total)

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

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

series6.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

3 → 108

Calls

Call 1

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

Outputs
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ c d))>
#<alt (+ (* a b) (* a (+ c d)))>
#<alt (+ (* a b) (* a (+ c d)))>
#<alt (+ (* a b) (* a (+ c d)))>
#<alt (* a b)>
#<alt (* b (+ a (/ (* a (+ c d)) b)))>
#<alt (* b (+ a (/ (* a (+ c d)) b)))>
#<alt (* b (+ a (/ (* a (+ c d)) b)))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))>
#<alt (* a (+ b d))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt (* a (+ b c))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (+ (* a d) (* a (+ b c)))>
#<alt (* a d)>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* d (+ a (/ (* a (+ b c)) d)))>
#<alt (* a d)>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))>
#<alt (+ c d)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt b>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (+ b d)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (+ b c)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt c>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt b>
#<alt (* b (+ 1 (/ c b)))>
#<alt (* b (+ 1 (/ c b)))>
#<alt (* b (+ 1 (/ c b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt b>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt c>
#<alt (* c (+ 1 (/ b c)))>
#<alt (* c (+ 1 (/ b c)))>
#<alt (* c (+ 1 (/ b c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>

Calls

27 calls:

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

rewrite1.6s (20.5%)

Memory

-9.8MiB live, 554.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 786×	`lower-fma.f64`
6 786×	`lower-fma.f32`
5 394×	`lower-*.f32`
5 392×	`lower-*.f64`
2 596×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	46	15
2	388	15
3	5662	15
0	8833	15

Stop Event

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

Counts

3 → 296

Calls

Call 1

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

Outputs
(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 b c)))
(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a c) (.f64 a (+.f64 b d)))
(+.f64 (.f64 a c) (.f64 (+.f64 b d) a))
(+.f64 (.f64 a c) (fma.f64 a b (.f64 a d)))
(+.f64 (.f64 a (+.f64 b d)) (.f64 a c))
(+.f64 (.f64 (+.f64 b d) a) (.f64 a c))
(+.f64 (fma.f64 a d (.f64 a b)) (.f64 a c))
(-.f64 (/.f64 (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c)))) (.f64 a (+.f64 b (-.f64 c d)))) (/.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 a (+.f64 b (-.f64 c d)))))
(fma.f64 a b (*.f64 a (+.f64 c d)))
(fma.f64 a c (*.f64 a (+.f64 b d)))
(fma.f64 a c (*.f64 (+.f64 b d) a))
(fma.f64 a c (fma.f64 a b (*.f64 a d)))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(fma.f64 a (+.f64 c d) (*.f64 a b))
(fma.f64 a (+.f64 b d) (*.f64 a c))
(fma.f64 b a (*.f64 a (+.f64 c d)))
(fma.f64 c a (*.f64 a (+.f64 b d)))
(fma.f64 c a (*.f64 (+.f64 b d) a))
(fma.f64 c a (fma.f64 a b (*.f64 a d)))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(fma.f64 (fma.f64 b (.f64 b b) (.f64 c (.f64 c c))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (-.f64 c b)))) a) (.f64 a d))
(fma.f64 (fma.f64 b (.f64 b b) (.f64 c (.f64 c c))) (/.f64 a (fma.f64 b b (.f64 c (-.f64 c b)))) (*.f64 a d))
(fma.f64 (.f64 (+.f64 b c) (-.f64 b c)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b c)) a) (*.f64 a d))
(fma.f64 (.f64 (+.f64 b c) (-.f64 b c)) (/.f64 a (-.f64 b c)) (.f64 a d))
(fma.f64 (+.f64 c d) a (*.f64 a b))
(fma.f64 (+.f64 b d) a (*.f64 a c))
(fma.f64 (.f64 a (fma.f64 b (.f64 b b) (.f64 c (.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (-.f64 c b)))) (.f64 a d))
(fma.f64 (.f64 (+.f64 b c) (.f64 (-.f64 b c) a)) (/.f64 #s(literal 1 binary64) (-.f64 b c)) (*.f64 a d))
(fma.f64 (/.f64 (.f64 a (fma.f64 b (.f64 b b) (.f64 c (.f64 c c)))) (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 c (-.f64 c b)) (.f64 (.f64 c (-.f64 c b)) (.f64 c (-.f64 c b)))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c (-.f64 c b)) (-.f64 (.f64 c (-.f64 c b)) (.f64 b b)))) (.f64 a d))
(fma.f64 (/.f64 (.f64 a (fma.f64 b (.f64 b b) (.f64 c (.f64 c c)))) (.f64 (fma.f64 b b (.f64 c (-.f64 c b))) (-.f64 (.f64 b b) (.f64 c (-.f64 c b))))) (-.f64 (.f64 b b) (.f64 c (-.f64 c b))) (*.f64 a d))
(fma.f64 (/.f64 (.f64 (+.f64 b c) (.f64 (-.f64 b c) a)) (.f64 (+.f64 b c) (-.f64 b c))) (+.f64 b c) (.f64 a d))
(fma.f64 (/.f64 (.f64 (+.f64 b c) (.f64 (-.f64 b c) a)) (.f64 (fma.f64 b b (.f64 c (+.f64 b c))) (-.f64 b c))) (fma.f64 b b (.f64 c (+.f64 b c))) (.f64 a d))
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 c (+.f64 b d))))
(/.f64 (fma.f64 (.f64 a (+.f64 b c)) (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c)))) (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d))))) (fma.f64 a (.f64 (+.f64 b c) (.f64 a (+.f64 b c))) (.f64 (.f64 a d) (-.f64 (.f64 a d) (*.f64 a (+.f64 b c))))))
(/.f64 (fma.f64 (.f64 a (+.f64 b c)) (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c)))) (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d))))) (fma.f64 a (.f64 d (.f64 a d)) (-.f64 (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c)))) (.f64 (+.f64 b c) (.f64 a (*.f64 a d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (.f64 (+.f64 b c) (.f64 a (+.f64 b c))) (.f64 (.f64 a d) (-.f64 (.f64 a d) (.f64 a (+.f64 b c))))) (fma.f64 (.f64 a (+.f64 b c)) (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c)))) (.f64 (.f64 a d) (.f64 d (.f64 a (*.f64 a d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 b (-.f64 c d))) (.f64 (.f64 a (+.f64 c (+.f64 b d))) (.f64 a (+.f64 b (-.f64 c d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 b c) (+.f64 b (-.f64 c d)) (.f64 d d)) (.f64 a (fma.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (-.f64 c d)) (.f64 a (.f64 (+.f64 c (+.f64 b d)) (+.f64 b (-.f64 c d))))))
(/.f64 (.f64 (.f64 a (+.f64 c (+.f64 b d))) (.f64 a (+.f64 b (-.f64 c d)))) (.f64 a (+.f64 b (-.f64 c d))))
(/.f64 (.f64 a (fma.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d (.f64 d d)))) (fma.f64 (+.f64 b c) (+.f64 b (-.f64 c d)) (*.f64 d d)))
(/.f64 (.f64 a (.f64 (+.f64 c (+.f64 b d)) (+.f64 b (-.f64 c d)))) (+.f64 b (-.f64 c d)))
(/.f64 (neg.f64 (fma.f64 (.f64 a (+.f64 b c)) (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c)))) (.f64 (.f64 a d) (.f64 d (.f64 a (.f64 a d)))))) (neg.f64 (fma.f64 a (.f64 (+.f64 b c) (.f64 a (+.f64 b c))) (.f64 (.f64 a d) (-.f64 (.f64 a d) (*.f64 a (+.f64 b c)))))))
(/.f64 (neg.f64 (.f64 (.f64 a (+.f64 c (+.f64 b d))) (.f64 a (+.f64 b (-.f64 c d))))) (neg.f64 (.f64 a (+.f64 b (-.f64 c d)))))
(/.f64 (neg.f64 (.f64 a (fma.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d (.f64 d d))))) (neg.f64 (fma.f64 (+.f64 b c) (+.f64 b (-.f64 c d)) (*.f64 d d))))
(/.f64 (neg.f64 (.f64 a (.f64 (+.f64 c (+.f64 b d)) (+.f64 b (-.f64 c d))))) (neg.f64 (+.f64 b (-.f64 c d))))
(/.f64 (+.f64 (pow.f64 (.f64 a b) #s(literal 3 binary64)) (pow.f64 (.f64 a (+.f64 c d)) #s(literal 3 binary64))) (fma.f64 (.f64 a b) (.f64 a b) (-.f64 (.f64 (.f64 a (+.f64 c d)) (.f64 a (+.f64 c d))) (.f64 (.f64 a b) (.f64 a (+.f64 c d))))))
(/.f64 (-.f64 (.f64 d (.f64 a (.f64 a d))) (.f64 (+.f64 b c) (.f64 a (.f64 a (+.f64 b c))))) (-.f64 (.f64 a d) (.f64 a (+.f64 b c))))
(/.f64 (-.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (.f64 a (+.f64 c d)) (.f64 a (+.f64 c d)))) (-.f64 (.f64 a b) (.f64 a (+.f64 c d))))
(/.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 c (+.f64 b d))))
(/.f64 (.f64 a (neg.f64 (fma.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d (.f64 d d))))) (neg.f64 (fma.f64 (+.f64 b c) (+.f64 b (-.f64 c d)) (*.f64 d d))))
(/.f64 (.f64 a (neg.f64 (.f64 (+.f64 c (+.f64 b d)) (+.f64 b (-.f64 c d))))) (neg.f64 (+.f64 b (-.f64 c d))))
(/.f64 (.f64 a (fma.f64 b (.f64 b b) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d))))) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b)))
(/.f64 (.f64 a (.f64 (+.f64 c (+.f64 b d)) (-.f64 b (+.f64 c d)))) (-.f64 b (+.f64 c d)))
(/.f64 (.f64 a (.f64 (+.f64 c (+.f64 b d)) (-.f64 d (+.f64 b c)))) (-.f64 d (+.f64 b c)))
(/.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 c (+.f64 b d))))
(/.f64 (.f64 (neg.f64 (fma.f64 (+.f64 b c) (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d (.f64 d d)))) a) (neg.f64 (fma.f64 (+.f64 b c) (+.f64 b (-.f64 c d)) (*.f64 d d))))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 c (+.f64 b d)) (+.f64 b (-.f64 c d)))) a) (neg.f64 (+.f64 b (-.f64 c d))))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 (+.f64 c d) (.f64 (+.f64 c d) (+.f64 c d)))) a) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b b) (-.f64 b c)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 c c) (-.f64 b c)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b b) (-.f64 b c)) (/.f64 (.f64 b b) (-.f64 b c)) (fma.f64 (/.f64 (.f64 c c) (-.f64 b c)) (/.f64 (.f64 c c) (-.f64 b c)) (.f64 (/.f64 (.f64 b b) (-.f64 b c)) (/.f64 (*.f64 c c) (-.f64 b c))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 b b) (-.f64 b c)) (/.f64 (.f64 b b) (-.f64 b c))) (.f64 (/.f64 (.f64 c c) (-.f64 b c)) (/.f64 (.f64 c c) (-.f64 b c)))) (fma.f64 b (/.f64 b (-.f64 b c)) (/.f64 (*.f64 c c) (-.f64 b c))))
(/.f64 (.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 (.f64 c c) (.f64 c (.f64 c c)))) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (-.f64 c b))))) (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (-.f64 (.f64 c (.f64 c c)) (.f64 b (.f64 b b))))))
(/.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 c (.f64 c c))) (.f64 (fma.f64 b b (.f64 c (+.f64 b c))) (-.f64 b c))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (-.f64 c b))))) (.f64 (fma.f64 b b (.f64 c (+.f64 b c))) (-.f64 b c)))
(/.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 c (.f64 c c))) (.f64 (fma.f64 b b (.f64 c (+.f64 b c))) (-.f64 b c))) (/.f64 #s(literal 1 binary64) (-.f64 b c))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c c) (fma.f64 b b (.f64 c c)))))
(/.f64 (.f64 (.f64 (fma.f64 b b (.f64 c c)) (.f64 (+.f64 b c) (-.f64 b c))) (/.f64 #s(literal 1 binary64) (-.f64 b c))) (fma.f64 b b (*.f64 c c)))
(pow.f64 (+.f64 b c) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b c)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b c)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 c b) (*.f64 (+.f64 b c) (-.f64 c b))) #s(literal -1 binary64))
(.f64 (+.f64 b c) (.f64 (-.f64 b c) (/.f64 #s(literal 1 binary64) (-.f64 b c))))
(*.f64 (+.f64 b c) (/.f64 (-.f64 b c) (-.f64 b c)))
(.f64 (+.f64 b c) (pow.f64 (.f64 (-.f64 b c) (/.f64 #s(literal 1 binary64) (-.f64 b c))) #s(literal 1 binary64)))
(*.f64 (+.f64 b c) (pow.f64 (/.f64 (-.f64 b c) (-.f64 b c)) #s(literal 1 binary64)))
(.f64 (fma.f64 b (.f64 b b) (.f64 c (.f64 c c))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (-.f64 c b)))))
(.f64 (fma.f64 b b (.f64 c (-.f64 c b))) (.f64 (+.f64 b c) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (-.f64 c b))))))
(.f64 (fma.f64 b b (.f64 c (-.f64 c b))) (/.f64 (+.f64 b c) (fma.f64 b b (*.f64 c (-.f64 c b)))))
(.f64 (.f64 (+.f64 b c) (-.f64 b c)) (/.f64 #s(literal 1 binary64) (-.f64 b c)))
(.f64 (neg.f64 (fma.f64 b (.f64 b b) (.f64 c (.f64 c c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b b (*.f64 c (-.f64 c b))))))
(.f64 (neg.f64 (.f64 (+.f64 b c) (-.f64 b c))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 b c))))
(*.f64 #s(literal 1 binary64) (+.f64 b c))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (-.f64 c b)))) (fma.f64 b (.f64 b b) (.f64 c (*.f64 c c))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (-.f64 c b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b b) (.f64 c (*.f64 c c)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b c)) (.f64 (+.f64 b c) (-.f64 b c)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b c)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b c) (-.f64 b c))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 b c) (-.f64 c b)) (/.f64 #s(literal 1 binary64) (-.f64 c b)))
(.f64 (/.f64 (.f64 (+.f64 b c) (-.f64 b c)) (*.f64 (+.f64 b c) (-.f64 b c))) (+.f64 b c))
(.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 c (.f64 c c))) (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 c (-.f64 c b)) (.f64 (.f64 c (-.f64 c b)) (.f64 c (-.f64 c b)))))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c (-.f64 c b)) (-.f64 (.f64 c (-.f64 c b)) (*.f64 b b)))))
(.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 c (.f64 c c))) (.f64 (fma.f64 b b (.f64 c (-.f64 c b))) (-.f64 (.f64 b b) (.f64 c (-.f64 c b))))) (-.f64 (.f64 b b) (.f64 c (-.f64 c b))))
(.f64 (/.f64 (.f64 (+.f64 b c) (-.f64 b c)) (.f64 (fma.f64 b b (.f64 c (+.f64 b c))) (-.f64 b c))) (fma.f64 b b (*.f64 c (+.f64 b c))))
(.f64 (pow.f64 (fma.f64 b (.f64 b b) (.f64 c (.f64 c c))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c (-.f64 c b)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (-.f64 c b)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 b (.f64 b b) (.f64 c (*.f64 c c))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 b b (.f64 c (-.f64 c b))) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 b c) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (-.f64 c b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 b b (.f64 c (-.f64 c b))) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 b c) (fma.f64 b b (*.f64 c (-.f64 c b)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 b c) (-.f64 b c)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b c)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b c)) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 b c) (-.f64 b c)) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (fma.f64 b (.f64 b b) (.f64 c (.f64 c c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b b (*.f64 c (-.f64 c b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 (+.f64 b c) (-.f64 b c))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 b c))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 b c) (-.f64 c b)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 c b)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b c) (-.f64 b c)) (*.f64 (+.f64 b c) (-.f64 b c))) #s(literal 1 binary64)) (+.f64 b c))
(.f64 (pow.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 c (.f64 c c))) (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 c (-.f64 c b)) (.f64 (.f64 c (-.f64 c b)) (.f64 c (-.f64 c b)))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c (-.f64 c b)) (-.f64 (.f64 c (-.f64 c b)) (*.f64 b b)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 c (.f64 c c))) (.f64 (fma.f64 b b (.f64 c (-.f64 c b))) (-.f64 (.f64 b b) (.f64 c (-.f64 c b))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 b b) (.f64 c (-.f64 c b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 b c) (-.f64 b c)) (.f64 (fma.f64 b b (.f64 c (+.f64 b c))) (-.f64 b c))) #s(literal 1 binary64)) (pow.f64 (fma.f64 b b (*.f64 c (+.f64 b c))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 b c) (.f64 (fma.f64 b (.f64 b b) (.f64 c (.f64 c c))) (.f64 (fma.f64 b b (.f64 c (+.f64 b c))) (-.f64 b c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c c) (fma.f64 b b (.f64 c c))))))
(.f64 (pow.f64 (/.f64 (-.f64 b c) (.f64 (fma.f64 b b (.f64 c c)) (.f64 (+.f64 b c) (-.f64 b c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 c c))))
(.f64 (pow.f64 (/.f64 (fma.f64 b b (.f64 c (-.f64 c b))) (fma.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 (.f64 c c) (.f64 c (.f64 c c)))) (.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 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (-.f64 (.f64 c (.f64 c c)) (.f64 b (.f64 b b)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 b b (.f64 c (-.f64 c b))) (.f64 (fma.f64 b (.f64 b b) (.f64 c (.f64 c c))) (.f64 (fma.f64 b b (.f64 c (+.f64 b c))) (-.f64 b c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b b (.f64 c (+.f64 b c))) (-.f64 b c))))

simplify201.0ms (2.5%)

Memory

29.8MiB live, 463.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 890×	`lower-fma.f64`
4 890×	`lower-fma.f32`
2 424×	`lower-*.f64`
2 424×	`lower-*.f32`
1 820×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	516
1	276	516
2	776	516
3	2321	516
4	5178	516
5	7428	516
0	8036	516

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 96

Calls

Call 1

Inputs
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ c d))
(+ (* a b) (* a (+ c d)))
(+ (* a b) (* a (+ c d)))
(+ (* a b) (* a (+ c d)))
(* a b)
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ a (/ (* a (+ c d)) b)))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* a (+ b d))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(* a c)
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* a (+ b c))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(* a d)
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(+ c d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+ b d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+ b c)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
c
(+ b c)
(+ b c)
(+ b c)
b
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
b
(+ b c)
(+ b c)
(+ b c)
c
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))

Outputs
(* a (+ b (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a b)
(*.f64 a b)
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a b)
(*.f64 a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 a (+.f64 c (+.f64 b d)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 a (+.f64 c (+.f64 b d)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a (+ b d))
(*.f64 a (+.f64 b d))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 c (+.f64 b d)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 c (+.f64 b d)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a d)
(*.f64 a d)
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(* a d)
(*.f64 a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 a (+.f64 c (+.f64 b d)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 a (+.f64 c (+.f64 b d)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 a (+.f64 c (+.f64 b d)))
(+ c d)
(+.f64 c d)
(+ b (+ c d))
(+.f64 c (+.f64 b d))
(+ b (+ c d))
(+.f64 c (+.f64 b d))
(+ b (+ c d))
(+.f64 c (+.f64 b d))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 c (+.f64 b d))
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 c (+.f64 b d))
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 c (+.f64 b d))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 c (+.f64 b d))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 c (+.f64 b d))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 c (+.f64 b d))
(+ b d)
(+.f64 b d)
(+ b (+ c d))
(+.f64 c (+.f64 b d))
(+ b (+ c d))
(+.f64 c (+.f64 b d))
(+ b (+ c d))
(+.f64 c (+.f64 b d))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 c (+.f64 b d))
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 c (+.f64 b d))
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 c (+.f64 b d))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 c (+.f64 b d))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 c (+.f64 b d))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 c (+.f64 b d))
(+ b c)
(+.f64 b c)
(+ b (+ c d))
(+.f64 c (+.f64 b d))
(+ b (+ c d))
(+.f64 c (+.f64 b d))
(+ b (+ c d))
(+.f64 c (+.f64 b d))
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 c (+.f64 b d))
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 c (+.f64 b d))
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 c (+.f64 b d))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 c (+.f64 b d))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 c (+.f64 b d))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 c (+.f64 b d))
c
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
b
(* b (+ 1 (/ c b)))
(+.f64 b c)
(* b (+ 1 (/ c b)))
(+.f64 b c)
(* b (+ 1 (/ c b)))
(+.f64 b c)
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 b c)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 b c)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 b c)
b
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
(+ b c)
(+.f64 b c)
c
(* c (+ 1 (/ b c)))
(+.f64 b c)
(* c (+ 1 (/ b c)))
(+.f64 b c)
(* c (+ 1 (/ b c)))
(+.f64 b c)
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 b c)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 b c)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 b c)

eval47.0ms (0.6%)

Memory: 6.7MiB live, 126.3MiB allocated
Compiler: Compiled 9 429 to 990 computations (89.5% saved)

prune50.0ms (0.6%)

Memory

-3.5MiB live, 115.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	389	3	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	390	3	393

Accuracy

100.0%

Counts

393 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 b d) a (*.f64 a c))
▶	99.9%	(*.f64 a (+.f64 c d))
▶	94.0%	(*.f64 a d)

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify8.0ms (0.1%)

Memory

-28.6MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(+.f64 b d)
✓	cost-diff	192	(fma.f64 (+.f64 b d) a (*.f64 a c))
✓	cost-diff	0	(+.f64 c d)
✓	cost-diff	0	(*.f64 a (+.f64 c d))
✓	cost-diff	0	(*.f64 a d)

Rules

48×	`lower-fma.f32`
48×	`lower-+.f32`
46×	`lower-fma.f64`
44×	`lower-+.f64`
28×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
0	17	34
1	26	33
2	37	33
3	56	33
4	69	33
5	69	33
0	69	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (0.6%)

Memory

17.9MiB live, 56.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (+.f64 b d) a (*.f64 a c))
✓	accuracy	100.0%	(+.f64 b d)
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(+.f64 c d)
✓	accuracy	99.9%	(*.f64 a (+.f64 c d))
✓	accuracy	100.0%	(*.f64 a d)

Samples

19.0ms

256×

valid

Compiler

Compiled 37 to 13 computations (64.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (62.7% of total)

ival-add: 3.0ms (31.4% of total)

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

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

series27.0ms (0.3%)

Memory

-15.1MiB live, 27.0MiB allocated

Counts

6 → 180

Calls

Call 1

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

Outputs
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a d)>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a d)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a d)>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* a d)>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt d>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt c>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt c>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt d>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a b) (+ (* a c) (* a d)))>
#<alt (+ (* a b) (+ (* a c) (* a d)))>
#<alt (+ (* a b) (+ (* a c) (* a d)))>
#<alt (* a b)>
#<alt (* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))>
#<alt (* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))>
#<alt (* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))>
#<alt (+ (* a b) (* a c))>
#<alt (+ (* a b) (+ (* a c) (* a d)))>
#<alt (+ (* a b) (+ (* a c) (* a d)))>
#<alt (+ (* a b) (+ (* a c) (* a d)))>
#<alt (* a d)>
#<alt (* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))>
#<alt (* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))>
#<alt (* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))>
#<alt (* a d)>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* a (+ b (+ c d)))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))>
#<alt (* a (+ b d))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (+ (* a c) (* a (+ b d)))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* c (+ a (/ (* a (+ b d)) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))>
#<alt d>
#<alt (+ b d)>
#<alt (+ b d)>
#<alt (+ b d)>
#<alt b>
#<alt (* b (+ 1 (/ d b)))>
#<alt (* b (+ 1 (/ d b)))>
#<alt (* b (+ 1 (/ d b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ d b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ d b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ d b)) 1)))>
#<alt b>
#<alt (+ b d)>
#<alt (+ b d)>
#<alt (+ b d)>
#<alt d>
#<alt (* d (+ 1 (/ b d)))>
#<alt (* d (+ 1 (/ b d)))>
#<alt (* d (+ 1 (/ b d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ b d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ b d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ b d)) 1)))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>

Calls

45 calls:

Time	Variable		Point	Expression
17.0ms	a	@	inf	(+ (* (+ b d) a) (* a c))
1.0ms	d	@	inf	(* a (+ c d))
1.0ms	a	@	-inf	(+ (* (+ b d) a) (* a c))
1.0ms	a	@	0	(+ (* (+ b d) a) (* a c))
0.0ms	a	@	0	(* a d)

rewrite342.0ms (4.3%)

Memory

-13.9MiB live, 526.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 690×	`lower-fma.f32`
6 688×	`lower-fma.f64`
5 498×	`lower-*.f32`
5 492×	`lower-*.f64`
2 366×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
0	17	25
1	61	24
2	446	24
3	5342	24
0	8772	24

Stop Event

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

Counts

6 → 299

Calls

Call 1

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

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

simplify237.0ms (3%)

Memory

-1.8MiB live, 392.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 934×	`lower-fma.f64`
8 934×	`lower-fma.f32`
3 102×	`lower-*.f64`
3 102×	`lower-*.f32`
1 626×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	738
1	333	738
2	976	738
3	2975	738
4	5794	738
0	8254	738

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 168

Calls

Call 1

Inputs
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a d)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a c)
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* a c)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a d)
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
d
(+ c d)
(+ c d)
(+ c d)
c
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
c
(+ c d)
(+ c d)
(+ c d)
d
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+ (* a c) (* a d))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
(* a b)
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(+ (* a b) (* a c))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
(* a d)
(* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))
(* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))
(* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(* a (+ b d))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(* a c)
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
d
(+ b d)
(+ b d)
(+ b d)
b
(* b (+ 1 (/ d b)))
(* b (+ 1 (/ d b)))
(* b (+ 1 (/ d b)))
b
(* -1 (* b (- (* -1 (/ d b)) 1)))
(* -1 (* b (- (* -1 (/ d b)) 1)))
(* -1 (* b (- (* -1 (/ d b)) 1)))
b
(+ b d)
(+ b d)
(+ b d)
d
(* d (+ 1 (/ b d)))
(* d (+ 1 (/ b d)))
(* d (+ 1 (/ b d)))
d
(* -1 (* d (- (* -1 (/ b d)) 1)))
(* -1 (* d (- (* -1 (/ b d)) 1)))
(* -1 (* d (- (* -1 (/ b d)) 1)))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)

Outputs
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a (+ c d))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 d c))
(* a c)
(*.f64 a c)
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 d c))
(* a d)
(*.f64 a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 d c))
d
(+ c d)
(+.f64 d c)
(+ c d)
(+.f64 d c)
(+ c d)
(+.f64 d c)
c
(* c (+ 1 (/ d c)))
(+.f64 d c)
(* c (+ 1 (/ d c)))
(+.f64 d c)
(* c (+ 1 (/ d c)))
(+.f64 d c)
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 d c)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 d c)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 d c)
c
(+ c d)
(+.f64 d c)
(+ c d)
(+.f64 d c)
(+ c d)
(+.f64 d c)
d
(* d (+ 1 (/ c d)))
(+.f64 d c)
(* d (+ 1 (/ c d)))
(+.f64 d c)
(* d (+ 1 (/ c d)))
(+.f64 d c)
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 d c)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 d c)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 d c)
(+ (* a c) (* a d))
(*.f64 a (+.f64 d c))
(+ (* a b) (+ (* a c) (* a d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+ (* a b) (+ (* a c) (* a d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+ (* a b) (+ (* a c) (* a d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a b)
(*.f64 a b)
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a b)
(*.f64 a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(*.f64 a (+.f64 d (+.f64 c b)))
(+ (* a b) (* a c))
(*.f64 a (+.f64 c b))
(+ (* a b) (+ (* a c) (* a d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+ (* a b) (+ (* a c) (* a d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+ (* a b) (+ (* a c) (* a d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a d)
(*.f64 a d)
(* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a d)
(*.f64 a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a (+ b d))
(*.f64 a (+.f64 d b))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 d (+.f64 c b)))
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 d (+.f64 c b)))
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 d (+.f64 c b)))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 d (+.f64 c b)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 d (+.f64 c b)))
d
(+ b d)
(+.f64 d b)
(+ b d)
(+.f64 d b)
(+ b d)
(+.f64 d b)
b
(* b (+ 1 (/ d b)))
(+.f64 d b)
(* b (+ 1 (/ d b)))
(+.f64 d b)
(* b (+ 1 (/ d b)))
(+.f64 d b)
b
(* -1 (* b (- (* -1 (/ d b)) 1)))
(+.f64 d b)
(* -1 (* b (- (* -1 (/ d b)) 1)))
(+.f64 d b)
(* -1 (* b (- (* -1 (/ d b)) 1)))
(+.f64 d b)
b
(+ b d)
(+.f64 d b)
(+ b d)
(+.f64 d b)
(+ b d)
(+.f64 d b)
d
(* d (+ 1 (/ b d)))
(+.f64 d b)
(* d (+ 1 (/ b d)))
(+.f64 d b)
(* d (+ 1 (/ b d)))
(+.f64 d b)
d
(* -1 (* d (- (* -1 (/ b d)) 1)))
(+.f64 d b)
(* -1 (* d (- (* -1 (/ b d)) 1)))
(+.f64 d b)
(* -1 (* d (- (* -1 (/ b d)) 1)))
(+.f64 d b)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)

eval55.0ms (0.7%)

Memory: 3.8MiB live, 120.8MiB allocated
Compiler: Compiled 10 010 to 854 computations (91.5% saved)

prune46.0ms (0.6%)

Memory

18.5MiB live, 99.5MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	466	1	467
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	467	3	470

Accuracy

100.0%

Counts

470 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 d a (*.f64 a c))
✓	99.9%	(*.f64 a (+.f64 c d))
✓	94.0%	(*.f64 a d)

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	192	(fma.f64 d a (*.f64 a c))

Rules

12×	`lower-*.f32`
10×	`lower-*.f64`
8×	`lower-+.f64`
8×	`lower-fma.f32`
8×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	11	11
2	15	11
3	16	11
0	16	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 d a (*.f64 a c))
d
a
(*.f64 a c)
c

Outputs
(fma.f64 d a (*.f64 a c))
(*.f64 a (+.f64 d c))
d
a
(*.f64 a c)
c

localize18.0ms (0.2%)

Memory

-5.9MiB live, 32.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 d a (*.f64 a c))
✓	accuracy	100.0%	(*.f64 a c)

Samples

12.0ms

256×

valid

Compiler

Compiled 15 to 9 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 4.0ms (72.9% of total)

ival-add: 1.0ms (18.2% of total)

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

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

series1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

2 → 60

Calls

Call 1

Inputs
#<alt (fma.f64 d a (*.f64 a c))>
#<alt (*.f64 a c)>

Outputs
#<alt (* a c)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a d)>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* d (+ a (/ (* a c) d)))>
#<alt (* a d)>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* a (+ c d))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 d))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 d))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 d))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 d))))>
#<alt (* a d)>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (+ (* a c) (* a d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* c (+ a (/ (* a d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>

Calls

15 calls:

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

rewrite664.0ms (8.4%)

Memory

7.6MiB live, 474.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 520×	`lower-fma.f32`
11 518×	`lower-fma.f64`
4 362×	`lower-/.f64`
4 362×	`lower-/.f32`
4 316×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	8	9
1	24	8
2	182	8
3	1918	8
0	8543	8

Stop Event

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

Counts

2 → 189

Calls

Call 1

Inputs
(fma.f64 d a (*.f64 a c))
(*.f64 a c)

Outputs
(+.f64 (.f64 a c) (.f64 d a))
(+.f64 (.f64 d a) (.f64 a c))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c)))))
(+.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 a (-.f64 c d))) (neg.f64 (/.f64 (.f64 d (.f64 d (.f64 a a))) (.f64 a (-.f64 c d)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 d c)))) #s(literal -1 binary64)))
(-.f64 (.f64 d a) (neg.f64 (.f64 a c)))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a (+.f64 d c))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 a (-.f64 c d))) (/.f64 (.f64 d (.f64 d (.f64 a a))) (.f64 a (-.f64 c d))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a))) (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a)))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))))) (fma.f64 a (.f64 c (.f64 a (-.f64 c d))) (.f64 d (.f64 d (.f64 a a))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))))) (fma.f64 a (.f64 c (.f64 a (-.f64 c d))) (.f64 d (.f64 d (.f64 a a))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a))) (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a)))) (fma.f64 d (.f64 (.f64 d (.f64 a a)) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 a a) (fma.f64 d d (.f64 c c)))))) (.f64 a (-.f64 d c))) (/.f64 (/.f64 (.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c))))) (fma.f64 d (.f64 (.f64 d (.f64 a a)) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 a a) (fma.f64 d d (.f64 c c)))))) (.f64 a (-.f64 d c))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 d a) (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (fma.f64 d d (.f64 c c)))) (.f64 a (-.f64 d c))) (/.f64 (/.f64 (.f64 a (.f64 (.f64 a (.f64 c c)) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 a a) (fma.f64 d d (.f64 c c)))) (.f64 a (-.f64 d c))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a (.f64 c (.f64 a (-.f64 c d))) (.f64 d (.f64 d (.f64 a a)))))) (neg.f64 (.f64 a (+.f64 d c))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 a) (-.f64 d c))) (neg.f64 (.f64 a (+.f64 d c))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a))) (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a)))) (.f64 (fma.f64 a (.f64 c (.f64 a (-.f64 c d))) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))))) (/.f64 (.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c))))) (.f64 (fma.f64 a (.f64 c (.f64 a (-.f64 c d))) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a))) (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a)))) (.f64 (.f64 a (-.f64 d c)) (fma.f64 d (.f64 (.f64 d (.f64 a a)) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 a a) (fma.f64 d d (.f64 c c))))))) (/.f64 (.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 a (-.f64 d c)) (fma.f64 d (.f64 (.f64 d (.f64 a a)) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 a a) (fma.f64 d d (.f64 c c))))))))
(-.f64 (/.f64 (.f64 (.f64 d a) (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a)))) (.f64 (.f64 a (-.f64 d c)) (.f64 (.f64 a a) (fma.f64 d d (.f64 c c))))) (/.f64 (.f64 a (.f64 (.f64 a (.f64 c c)) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 a (-.f64 d c)) (.f64 (.f64 a a) (fma.f64 d d (.f64 c c))))))
(-.f64 (/.f64 (.f64 (.f64 d (.f64 d (.f64 a a))) (.f64 a (-.f64 d c))) (.f64 (.f64 a (-.f64 d c)) (.f64 a (-.f64 d c)))) (/.f64 (.f64 (.f64 a (-.f64 d c)) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 a (-.f64 d c)) (.f64 a (-.f64 d c)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))))) (fma.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (fma.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))) (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))))))) (/.f64 (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))) (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))))) (fma.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (fma.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))) (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))))))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c)))) (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c)) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))))) (/.f64 (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c)))) (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c)) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))))))
(fma.f64 d a (*.f64 a c))
(fma.f64 d (/.f64 (.f64 d (.f64 a a)) (.f64 a (-.f64 d c))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c)))))
(fma.f64 a d (*.f64 a c))
(fma.f64 a c (*.f64 d a))
(fma.f64 a (/.f64 (.f64 d (.f64 d a)) (.f64 a (-.f64 d c))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c)))))
(fma.f64 c a (*.f64 d a))
(fma.f64 (.f64 d a) (/.f64 (.f64 d a) (.f64 a (-.f64 d c))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c)))))
(fma.f64 (.f64 d (.f64 d (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 a (-.f64 d c))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (*.f64 c c)) (-.f64 d c)))))
(fma.f64 (.f64 a (.f64 a (.f64 c c))) (/.f64 #s(literal 1 binary64) (.f64 a (-.f64 c d))) (neg.f64 (/.f64 (.f64 d (.f64 d (.f64 a a))) (.f64 a (-.f64 c d)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c)) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (*.f64 c c)) (-.f64 d c)))))
(fma.f64 (.f64 a a) (/.f64 (.f64 d d) (.f64 a (-.f64 d c))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c)))))
(fma.f64 (.f64 d d) (/.f64 (.f64 a a) (.f64 a (-.f64 d c))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c)))))
(fma.f64 (.f64 d (.f64 a a)) (/.f64 d (.f64 a (-.f64 d c))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c)))))
(fma.f64 (.f64 d (.f64 d a)) (/.f64 a (.f64 a (-.f64 d c))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (.f64 a c)) (.f64 d a))
(fma.f64 (neg.f64 (.f64 d (.f64 d (.f64 a a)))) (/.f64 #s(literal -1 binary64) (.f64 a (-.f64 d c))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (*.f64 c c)) (-.f64 d c)))))
(fma.f64 (/.f64 d a) (/.f64 (.f64 d (.f64 a a)) (-.f64 d c)) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (*.f64 c c)) (-.f64 d c)))))
(fma.f64 (/.f64 (.f64 d a) a) (/.f64 (.f64 d a) (-.f64 d c)) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (*.f64 c c)) (-.f64 d c)))))
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(.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (fma.f64 d (.f64 d d) (.f64 c (.f64 c c)))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 d (.f64 (.f64 d (.f64 a a)) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 a a) (fma.f64 d d (.f64 c c))))) (.f64 a (-.f64 d c)))))
(.f64 (.f64 (.f64 (.f64 a a) (fma.f64 d d (.f64 c c))) (.f64 a (.f64 (+.f64 d c) (.f64 a (-.f64 d c))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (-.f64 d c)) (.f64 (.f64 a a) (fma.f64 d d (*.f64 c c))))))
(.f64 (.f64 (.f64 (.f64 a a) (fma.f64 d d (.f64 c c))) (.f64 a (.f64 (+.f64 d c) (.f64 a (-.f64 d c))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) (fma.f64 d d (.f64 c c))) (*.f64 a (-.f64 d c)))))
(*.f64 (+.f64 d c) a)
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 a (+.f64 d c))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 d c))))))
(.f64 (-.f64 (.f64 (.f64 d (.f64 d (.f64 a a))) (.f64 a (-.f64 d c))) (.f64 (.f64 a (-.f64 d c)) (.f64 a (.f64 a (.f64 c c))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (-.f64 d c)) (.f64 a (-.f64 d c)))))
(.f64 (neg.f64 (.f64 (.f64 a (+.f64 d c)) (.f64 a (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a (-.f64 c d)))))
(.f64 (/.f64 (.f64 a (+.f64 d c)) a) (/.f64 (*.f64 a (-.f64 d c)) (-.f64 d c)))
(.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))))) (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))) (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (fma.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))) (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))))))))
(.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c)))) (.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d a)) (-.f64 d c)) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c c)) (-.f64 d c))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a))) (.f64 (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a))) (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a)))))) (fma.f64 a (.f64 c (.f64 a (-.f64 c d))) (.f64 d (.f64 d (.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 d a) (.f64 (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a))) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (-.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 a (*.f64 a a))))))))
(.f64 (/.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (fma.f64 d (.f64 d d) (.f64 c (.f64 c c)))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))))) (fma.f64 a (.f64 c (.f64 a (-.f64 c d))) (.f64 d (.f64 d (.f64 a a))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (*.f64 c c))))))
(.f64 (/.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (fma.f64 d (.f64 d d) (.f64 c (.f64 c c)))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))))) (.f64 a (-.f64 d c))) (/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 (.f64 d (.f64 a a)) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 a a) (fma.f64 d d (*.f64 c c)))))))
(.f64 (/.f64 (.f64 (.f64 (.f64 a a) (fma.f64 d d (.f64 c c))) (.f64 a (.f64 (+.f64 d c) (.f64 a (-.f64 d c))))) (.f64 a (-.f64 d c))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (fma.f64 d d (.f64 c c)))))
(.f64 (/.f64 (.f64 a (.f64 (+.f64 d c) (.f64 a (-.f64 d c)))) a) (/.f64 #s(literal 1 binary64) (-.f64 d c)))
(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (-.f64 d c) (.f64 a (.f64 (+.f64 d c) (.f64 a (-.f64 d c))))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (fma.f64 d (.f64 d d) (.f64 c (.f64 c c)))) (fma.f64 (.f64 d a) (.f64 (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a))) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 a (-.f64 c d)) (.f64 (.f64 a (-.f64 c d)) (.f64 a (-.f64 c d))))))) (fma.f64 (.f64 a (.f64 c (.f64 a (-.f64 c d)))) (-.f64 (.f64 a (.f64 c (.f64 a (-.f64 c d)))) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 d a) (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a))))))
(.f64 (/.f64 (.f64 (.f64 a (.f64 a a)) (fma.f64 d (.f64 d d) (.f64 c (.f64 c c)))) (.f64 (fma.f64 a (.f64 c (.f64 a (-.f64 c d))) (.f64 d (.f64 d (.f64 a a)))) (-.f64 (.f64 d (.f64 d (.f64 a a))) (.f64 a (.f64 c (.f64 a (-.f64 c d))))))) (-.f64 (.f64 d (.f64 d (.f64 a a))) (.f64 a (.f64 c (*.f64 a (-.f64 c d))))))
(.f64 (/.f64 (.f64 a (.f64 (+.f64 d c) (.f64 a (-.f64 d c)))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c))))) (fma.f64 d (.f64 d (.f64 a a)) (.f64 (.f64 a (.f64 a c)) (+.f64 d c))))
(.f64 (pow.f64 (/.f64 a (.f64 a (+.f64 d c))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 d c) (*.f64 a (-.f64 d c))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 a (.f64 c (.f64 a (-.f64 c d))) (.f64 d (.f64 d (.f64 a a)))) (fma.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a))) (.f64 (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a))) (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 d a) (.f64 (.f64 (.f64 d (.f64 d d)) (.f64 a (.f64 a a))) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (-.f64 (.f64 (.f64 a c) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 d (.f64 d d)) (.f64 a (*.f64 a a))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 a (.f64 c (.f64 a (-.f64 c d))) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 (.f64 a (.f64 a a)) (fma.f64 d (.f64 d d) (.f64 c (.f64 c c)))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (*.f64 c c))))))
(.f64 (pow.f64 (/.f64 (.f64 a (-.f64 d c)) (.f64 (.f64 (.f64 a (.f64 a a)) (fma.f64 d (.f64 d d) (.f64 c (.f64 c c)))) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 d (.f64 d d)) (.f64 c (.f64 c c)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 d (.f64 (.f64 d (.f64 a a)) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 a a) (fma.f64 d d (*.f64 c c)))))))
(.f64 (pow.f64 (/.f64 (.f64 a (-.f64 d c)) (.f64 (.f64 (.f64 a a) (fma.f64 d d (.f64 c c))) (.f64 a (.f64 (+.f64 d c) (.f64 a (-.f64 d c)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (fma.f64 d d (.f64 c c)))))
(exp.f64 (log.f64 (*.f64 a c)))
(exp.f64 (.f64 (log.f64 (.f64 a c)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a c)))
(neg.f64 (neg.f64 (*.f64 a c)))
(pow.f64 (*.f64 a c) #s(literal 1 binary64))
(*.f64 a c)
(*.f64 c a)
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 a c)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 c #s(literal 1 binary64)))
(*.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 c)))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 a)))

simplify686.0ms (8.6%)

Memory

13.1MiB live, 969.9MiB allocated

Algorithm

1×	egg-herbie

Rules

28 504×	`lower-fma.f64`
28 504×	`lower-fma.f32`
3 280×	`lower-+.f64`
3 280×	`lower-+.f32`
3 176×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	240
1	103	240
2	294	240
3	728	240
4	2238	240
5	4366	240
6	5489	240
7	6133	240
8	6322	240
9	6439	240
10	6743	240
11	6783	240
12	6816	240
13	7026	240
14	7040	240
15	7045	240
16	7048	240
17	7050	240
18	7050	240
0	8442	240

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* a c)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a d)
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* d (+ a (/ (* a c) d)))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* a (+ c d))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(* a d)
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(+ (* a c) (* a d))
(* a c)
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* c (+ a (/ (* a d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)

Outputs
(* a c)
(*.f64 a c)
(+ (* a c) (* a d))
(*.f64 a (+.f64 c d))
(+ (* a c) (* a d))
(*.f64 a (+.f64 c d))
(+ (* a c) (* a d))
(*.f64 a (+.f64 c d))
(* a d)
(*.f64 a d)
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 c d))
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 c d))
(* d (+ a (/ (* a c) d)))
(*.f64 a (+.f64 c d))
(* a d)
(*.f64 a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 c d))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 c d))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a c) d)))))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(*.f64 a (+.f64 c d))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(*.f64 a (+.f64 c d))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(*.f64 a (+.f64 c d))
(* -1 (* a (+ (* -1 c) (* -1 d))))
(*.f64 a (+.f64 c d))
(* a d)
(*.f64 a d)
(+ (* a c) (* a d))
(*.f64 a (+.f64 c d))
(+ (* a c) (* a d))
(*.f64 a (+.f64 c d))
(+ (* a c) (* a d))
(*.f64 a (+.f64 c d))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 c d))
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 c d))
(* c (+ a (/ (* a d) c)))
(*.f64 a (+.f64 c d))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 c d))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 c d))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a d) c)))))
(*.f64 a (+.f64 c d))
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)

eval125.0ms (1.6%)

Memory: -0.6MiB live, 36.7MiB allocated
Compiler: Compiled 9 606 to 550 computations (94.3% saved)

prune42.0ms (0.5%)

Memory

8.1MiB live, 44.8MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	249	3	252

Accuracy

100.0%

Counts

252 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 d a (*.f64 a c))
✓	99.9%	(*.f64 a (+.f64 c d))
✓	94.0%	(*.f64 a d)

Compiler

Compiled 59 to 31 computations (47.5% saved)

regimes27.0ms (0.3%)

Memory

-43.8MiB live, 33.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 d a (*.f64 a c))

Calls

7 calls:

13.0ms	(+.f64 (+.f64 b c) d)
2.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
2.0ms	a
2.0ms	(+.f64 b c)
2.0ms	d

Results

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

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes15.0ms (0.2%)

Memory

-4.3MiB live, 33.0MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 a (+.f64 c d))

Calls

7 calls:

4.0ms	d
2.0ms	(+.f64 b c)
2.0ms	(+.f64 (+.f64 b c) d)
2.0ms	c
2.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`c`
99.9%	1	`d`
99.9%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
99.9%	1	`(+.f64 (+.f64 b c) d)`
99.9%	1	`(+.f64 b c)`

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes11.0ms (0.1%)

Memory

-11.7MiB live, 27.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 a d)

Outputs
(*.f64 a d)

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
94.0%	1	`a`
94.0%	1	`b`
94.0%	1	`c`
94.0%	1	`d`
94.0%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
94.0%	1	`(+.f64 (+.f64 b c) d)`
94.0%	1	`(+.f64 b c)`

Compiler

Compiled 47 to 34 computations (27.7% saved)

simplify6.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	12	14

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 d a (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a d)

Outputs
(fma.f64 d a (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(*.f64 d a)

soundness397.0ms (5%)

Memory

5.8MiB live, 280.4MiB allocated

Rules

6 690×	`lower-fma.f32`
6 688×	`lower-fma.f64`
5 498×	`lower-*.f32`
5 492×	`lower-*.f64`
4 890×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
0	17	25
1	61	24
2	446	24
3	5342	24
0	8772	24
0	84	516
1	276	516
2	776	516
3	2321	516
4	5178	516
5	7428	516
0	8036	516

Stop Event

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

Compiler

Compiled 53 to 32 computations (39.6% saved)

preprocess92.0ms (1.2%)

Memory: -15.7MiB live, 181.1MiB allocated
Remove: (negabs a)
Compiler: Compiled 264 to 156 computations (40.9% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze469.0ms (5.9%)

sample2.5s (31%)

preprocess114.0ms (1.4%)

explain76.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize21.0ms (0.3%)

series6.0ms (0.1%)

rewrite1.6s (20.5%)

simplify201.0ms (2.5%)

eval47.0ms (0.6%)

prune50.0ms (0.6%)

simplify8.0ms (0.1%)

localize51.0ms (0.6%)

series27.0ms (0.3%)

rewrite342.0ms (4.3%)

simplify237.0ms (3%)

eval55.0ms (0.7%)

prune46.0ms (0.6%)

simplify4.0ms (0.1%)

localize18.0ms (0.2%)

series1.0ms (0%)

rewrite664.0ms (8.4%)

simplify686.0ms (8.6%)

eval125.0ms (1.6%)

prune42.0ms (0.5%)

regimes27.0ms (0.3%)

regimes15.0ms (0.2%)

regimes11.0ms (0.1%)

simplify6.0ms (0.1%)

soundness397.0ms (5%)

preprocess92.0ms (1.2%)

end0.0ms (0%)

Profiling