Metrics for Expression, p14

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze471.0ms (7.3%)

Memory

33.2MiB live, 263.9MiB 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)

sample2.7s (41.2%)

Memory

-149.7MiB live, 1 916.1MiB allocated

Samples

1.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 889.0ms

ival-<=: 329.0ms (37% of total)

ival-add: 243.0ms (27.3% of total)

const: 197.0ms (22.2% of total)

ival-mult: 59.0ms (6.6% of total)

ival-and: 41.0ms (4.6% of total)

exact: 16.0ms (1.8% of total)

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

Bogosity

explain96.0ms (1.5%)

Memory

-0.9MiB live, 167.0MiB 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

24.0ms

512×

valid

Compiler

Compiled 53 to 25 computations (52.8% saved)

Precisions

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

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

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

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

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

preprocess114.0ms (1.8%)

Memory

0.9MiB live, 42.3MiB 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)

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify7.0ms (0.1%)

Memory

-25.0MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

localize19.0ms (0.3%)

Memory

7.4MiB live, 45.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (+.f64 b c) d)
accuracy	0	(+.f64 b c)
accuracy	0.05859375	(*.f64 a (+.f64 (+.f64 b c) d))

Samples

11.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-add: 2.0ms (48.3% of total)

ival-mult: 1.0ms (24.1% of total)

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

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

series7.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

3 → 108

Calls

Call 1

Inputs
#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())
#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())

#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())

#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())

Outputs
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor inf a) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor inf a) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor inf a) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor inf a) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor -inf a) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor -inf a) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor -inf a) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor -inf a) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ c d)) (taylor 0 b) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a (+ c d))) (taylor 0 b) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a (+ c d))) (taylor 0 b) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a (+ c d))) (taylor 0 b) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (* a (+ c d)) b))) (taylor inf b) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (* a (+ c d)) b))) (taylor inf b) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (* a (+ c d)) b))) (taylor inf b) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b))))) (taylor -inf b) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b))))) (taylor -inf b) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b))))) (taylor -inf b) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b d)) (taylor 0 c) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c))))) (taylor -inf c) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c))))) (taylor -inf c) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c))))) (taylor -inf c) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor 0 d) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a d) (* a (+ b c))) (taylor 0 d) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a d) (* a (+ b c))) (taylor 0 d) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a d) (* a (+ b c))) (taylor 0 d) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf d) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ a (/ (* a (+ b c)) d))) (taylor inf d) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ a (/ (* a (+ b c)) d))) (taylor inf d) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ a (/ (* a (+ b c)) d))) (taylor inf d) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (.f64 a (+.f64 (+.f64 b c) d)) (patch (.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ c b) (/ d b)))) (taylor inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ c b) (/ d b)))) (taylor inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ c b) (/ d b)))) (taylor inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) (taylor -inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) (taylor -inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) (taylor -inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b d) (taylor 0 c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt c (taylor -inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt c (taylor 0 b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ c b))) (taylor inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ c b))) (taylor inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ c b))) (taylor inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ c b)) 1))) (taylor -inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ c b)) 1))) (taylor -inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ c b)) 1))) (taylor -inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ b c))) (taylor inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ b c))) (taylor inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ b c))) (taylor inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt c (taylor -inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ b c)) 1))) (taylor -inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ b c)) 1))) (taylor -inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ b c)) 1))) (taylor -inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())

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))

simplify153.0ms (2.4%)

Memory

11.3MiB live, 170.3MiB 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 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ c d))
(*.f64 a (+.f64 c d))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a b) (* a (+ c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a b)
(*.f64 a b)
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a b)
(*.f64 a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b d))
(*.f64 a (+.f64 b d))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a c) (* a (+ b d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a (+ b c))
(*.f64 a (+.f64 b c))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ (* a d) (* a (+ b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a d)
(*.f64 a d)
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(* a d)
(*.f64 a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 a (+.f64 b (+.f64 c d)))
(+ c d)
(+.f64 c d)
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 b (+.f64 c d))
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 b (+.f64 c d))
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 b (+.f64 c d))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 b (+.f64 c d))
(+ b d)
(+.f64 b d)
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 b (+.f64 c d))
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 b (+.f64 c d))
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 b (+.f64 c d))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 b (+.f64 c d))
(+ b c)
(+.f64 b c)
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 b (+.f64 c d))
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 b (+.f64 c d))
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 b (+.f64 c d))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 b (+.f64 c 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)

rewrite265.0ms (4.1%)

Memory

-21.2MiB live, 409.8MiB allocated

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

eval65.0ms (1%)

Memory: 34.2MiB live, 71.4MiB allocated
Compiler: Compiled 9 525 to 989 computations (89.6% saved)

prune99.0ms (1.5%)

Memory

-51.7MiB live, 146.9MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	389	3	392
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	389	4	393

Accuracy

100.0%

Counts

393 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 d a (*.f64 a (+.f64 b c)))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
▶	99.8%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
▶	94.5%	#s(approx (* a (+ (+ b c) d)) (*.f64 a d))

Compiler

Compiled 41 to 25 computations (39% saved)

simplify6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 b c)
cost-diff	0	(*.f64 a (+.f64 b c))
cost-diff	192	(fma.f64 d a (*.f64 a (+.f64 b c)))
cost-diff	0	(+.f64 c d)
cost-diff	0	#s(approx (+ (+ b c) d) (+.f64 c d))
cost-diff	0	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
cost-diff	0	(*.f64 a d)
cost-diff	0	#s(approx (* a (+ (+ b c) d)) (*.f64 a d))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	62
0	22	61
1	39	61
2	61	61
3	78	61
4	78	61
0	78	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.6%)

Memory

-23.4MiB live, 57.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 d a (*.f64 a (+.f64 b c)))
accuracy	0	(+.f64 b c)
accuracy	0.02734375	(*.f64 a (+.f64 b c))
accuracy	0	(+.f64 c d)
accuracy	0.05859375	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
accuracy	0.059953943180356406	#s(approx (+ (+ b c) d) (+.f64 c d))
accuracy	0	(*.f64 a d)
accuracy	3.501100834237407	#s(approx (* a (+ (+ b c) d)) (*.f64 a d))

Samples

23.0ms

256×

valid

Compiler

Compiled 53 to 14 computations (73.6% saved)

Precisions

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

ival-mult: 8.0ms (64.3% of total)

ival-add: 5.0ms (40.2% of total)

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

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

series13.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

8 → 288

Calls

Call 1

Inputs
#s(alt #s(approx (* a (+ (+ b c) d)) (.f64 a d)) (patch #s(approx ( a (+ (+ b c) d)) (*.f64 a d)) #<representation binary64>) () ())
#s(alt (.f64 a d) (patch (.f64 a d) #<representation binary64>) () ())
#s(alt (.f64 a #s(approx (+ (+ b c) d) (+.f64 c d))) (patch (.f64 a #s(approx (+ (+ b c) d) (+.f64 c d))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ b c) d) (+.f64 c d)) (patch #s(approx (+ (+ b c) d) (+.f64 c d)) #<representation binary64>) () ())
#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())
#s(alt (fma.f64 d a (.f64 a (+.f64 b c))) (patch (fma.f64 d a (.f64 a (+.f64 b c))) #<representation binary64>) () ())
#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())
#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())

Outputs
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt #s(approx (* a (+ (+ b c) d)) (.f64 a d)) (patch #s(approx ( a (+ (+ b c) d)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt #s(approx (* a (+ (+ b c) d)) (.f64 a d)) (patch #s(approx ( a (+ (+ b c) d)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt #s(approx (* a (+ (+ b c) d)) (.f64 a d)) (patch #s(approx ( a (+ (+ b c) d)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt #s(approx (* a (+ (+ b c) d)) (.f64 a d)) (patch #s(approx ( a (+ (+ b c) d)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor inf a) (#s(alt #s(approx (* a (+ (+ b c) d)) (.f64 a d)) (patch #s(approx ( a (+ (+ b c) d)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor inf a) (#s(alt #s(approx (* a (+ (+ b c) d)) (.f64 a d)) (patch #s(approx ( a (+ (+ b c) d)) (*.f64 a d)) #<representation binary64>) () ())) ())
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#s(alt (* c (+ a (+ (/ (* a b) c) (/ (* a d) c)))) (taylor inf c) (#s(alt (fma.f64 d a (.f64 a (+.f64 b c))) (patch (fma.f64 d a (.f64 a (+.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (+ (/ (* a b) c) (/ (* a d) c)))) (taylor inf c) (#s(alt (fma.f64 d a (.f64 a (+.f64 b c))) (patch (fma.f64 d a (.f64 a (+.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (fma.f64 d a (.f64 a (+.f64 b c))) (patch (fma.f64 d a (.f64 a (+.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c))))) (taylor -inf c) (#s(alt (fma.f64 d a (.f64 a (+.f64 b c))) (patch (fma.f64 d a (.f64 a (+.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c))))) (taylor -inf c) (#s(alt (fma.f64 d a (.f64 a (+.f64 b c))) (patch (fma.f64 d a (.f64 a (+.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c))))) (taylor -inf c) (#s(alt (fma.f64 d a (.f64 a (+.f64 b c))) (patch (fma.f64 d a (.f64 a (+.f64 b c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor 0 a) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor 0 a) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor 0 a) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor 0 a) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor inf a) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor inf a) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor inf a) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor inf a) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor -inf a) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor -inf a) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor -inf a) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor -inf a) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 b) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a c)) (taylor 0 b) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a c)) (taylor 0 b) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a c)) (taylor 0 b) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (* a c) b))) (taylor inf b) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (* a c) b))) (taylor inf b) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (* a c) b))) (taylor inf b) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 c) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a c)) (taylor 0 c) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a c)) (taylor 0 c) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a c)) (taylor 0 c) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a b) c))) (taylor inf c) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a b) c))) (taylor inf c) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a b) c))) (taylor inf c) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c))))) (taylor -inf c) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c))))) (taylor -inf c) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c))))) (taylor -inf c) (#s(alt (.f64 a (+.f64 b c)) (patch (.f64 a (+.f64 b c)) #<representation binary64>) () ())) ())
#s(alt c (taylor 0 b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ c b))) (taylor inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ c b))) (taylor inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ c b))) (taylor inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ c b)) 1))) (taylor -inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ c b)) 1))) (taylor -inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ c b)) 1))) (taylor -inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ b c))) (taylor inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ b c))) (taylor inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ b c))) (taylor inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt c (taylor -inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ b c)) 1))) (taylor -inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ b c)) 1))) (taylor -inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ b c)) 1))) (taylor -inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())

Calls

72 calls:

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

simplify183.0ms (2.8%)

Memory

10.4MiB live, 229.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 648×	`lower-fma.f64`
7 648×	`lower-fma.f32`
2 590×	`lower-*.f64`
2 590×	`lower-*.f32`
1 476×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	1464
1	465	1464
2	1238	1464
3	3593	1452
4	5707	1452
0	8067	1446

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 270

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

rewrite337.0ms (5.2%)

Memory

3.7MiB live, 446.4MiB allocated

Rules

7 406×	`lower-fma.f32`
7 404×	`lower-fma.f64`
6 484×	`lower-*.f32`
6 478×	`lower-*.f64`
4 270×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	53
0	22	52
1	84	52
2	673	52
0	8553	52

Stop Event

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

Counts

8 → 263

Calls

Call 1

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

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

eval165.0ms (2.5%)

Memory: -4.6MiB live, 114.1MiB allocated
Compiler: Compiled 8 601 to 841 computations (90.2% saved)

prune68.0ms (1%)

Memory

-11.0MiB live, 148.0MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	532	1	533
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	532	5	537

Accuracy

100.0%

Counts

537 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 d a (*.f64 a (+.f64 b c)))
▶	99.9%	(fma.f64 d a #s(approx (* a (+ b c)) (*.f64 a c)))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.8%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
✓	94.5%	#s(approx (* a (+ (+ b c) d)) (*.f64 a d))

Compiler

Compiled 52 to 31 computations (40.4% saved)

simplify5.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

16×	`lower-*.f32`
14×	`lower-*.f64`
12×	`lower-+.f64`
12×	`lower-fma.f32`
12×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	12	27
1	22	27
2	24	27
0	24	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

7.2MiB live, 45.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 d a #s(approx (* a (+ b c)) (*.f64 a c)))
accuracy	0	(*.f64 a c)
accuracy	3.921076218596756	#s(approx (* a (+ b c)) (*.f64 a c))

Samples

16.0ms

256×

valid

Compiler

Compiled 22 to 11 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 4.0ms (47% of total)

ival-mult: 4.0ms (47% of total)

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

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

series4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

3 → 108

Calls

Call 1

Inputs

#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (*.f64 a c))) (patch (fma.f64 d a #s(approx (* a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())

#s(alt #s(approx (* a (+ b c)) (*.f64 a c)) (patch #s(approx (* a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())

#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())

Outputs
#s(alt (* a (+ b c)) (taylor 0 d) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* a d) (* a (+ b c))) (taylor 0 d) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* a d) (* a (+ b c))) (taylor 0 d) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* a d) (* a (+ b c))) (taylor 0 d) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf d) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* d (+ a (/ (* a (+ b c)) d))) (taylor inf d) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* d (+ a (/ (* a (+ b c)) d))) (taylor inf d) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* d (+ a (/ (* a (+ b c)) d))) (taylor inf d) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor inf a) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor inf a) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor inf a) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor inf a) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 d) (* -1 (+ b c))))) (taylor -inf a) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 d) (* -1 (+ b c))))) (taylor -inf a) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 d) (* -1 (+ b c))))) (taylor -inf a) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 d) (* -1 (+ b c))))) (taylor -inf a) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a d)) (taylor 0 b) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (+ (* a c) (* a d))) (taylor 0 b) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (+ (* a c) (* a d))) (taylor 0 b) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (+ (* a c) (* a d))) (taylor 0 b) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (+ (/ (* a c) b) (/ (* a d) b)))) (taylor inf b) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (+ (/ (* a c) b) (/ (* a d) b)))) (taylor inf b) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (+ (/ (* a c) b) (/ (* a d) b)))) (taylor inf b) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b))))) (taylor -inf b) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b))))) (taylor -inf b) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b))))) (taylor -inf b) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a d)) (taylor 0 c) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (+ (* a c) (* a d))) (taylor 0 c) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (+ (* a c) (* a d))) (taylor 0 c) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (+ (* a c) (* a d))) (taylor 0 c) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (+ (/ (* a b) c) (/ (* a d) c)))) (taylor inf c) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (+ (/ (* a b) c) (/ (* a d) c)))) (taylor inf c) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (+ (/ (* a b) c) (/ (* a d) c)))) (taylor inf c) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c))))) (taylor -inf c) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c))))) (taylor -inf c) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c))))) (taylor -inf c) (#s(alt (fma.f64 d a #s(approx (* a (+ b c)) (.f64 a c))) (patch (fma.f64 d a #s(approx ( a (+ b c)) (*.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor 0 a) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor 0 a) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor 0 a) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor 0 a) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor inf a) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor inf a) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor inf a) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor inf a) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor -inf a) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor -inf a) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor -inf a) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor -inf a) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 b) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a c)) (taylor 0 b) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a c)) (taylor 0 b) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a c)) (taylor 0 b) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (* a c) b))) (taylor inf b) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (* a c) b))) (taylor inf b) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (* a c) b))) (taylor inf b) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 c) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a c)) (taylor 0 c) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a c)) (taylor 0 c) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a c)) (taylor 0 c) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a b) c))) (taylor inf c) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a b) c))) (taylor inf c) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a b) c))) (taylor inf c) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c))))) (taylor -inf c) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c))))) (taylor -inf c) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a b) c))))) (taylor -inf c) (#s(alt #s(approx (* a (+ b c)) (.f64 a c)) (patch #s(approx ( a (+ b c)) (*.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())

Calls

27 calls:

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

simplify284.0ms (4.4%)

Memory

12.9MiB live, 325.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 872×	`lower-fma.f64`
10 872×	`lower-fma.f32`
4 230×	`lower-*.f64`
4 230×	`lower-*.f32`
1 466×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	546
1	238	546
2	756	546
3	1933	546
4	5073	546
0	8237	546

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

rewrite366.0ms (5.6%)

Memory

2.6MiB live, 388.2MiB allocated

Rules

4 258×	`lower-/.f64`
4 258×	`lower-/.f32`
3 960×	`lower-fma.f32`
3 958×	`lower-fma.f64`
3 786×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	12	24
1	47	24
2	318	24
3	2994	24
0	8140	24

Stop Event

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

Counts

3 → 128

Calls

Call 1

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

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

eval72.0ms (1.1%)

Memory: 5.9MiB live, 98.6MiB allocated
Compiler: Compiled 8 950 to 404 computations (95.5% saved)

prune31.0ms (0.5%)

Memory

-2.9MiB live, 70.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	236	5	241

Accuracy

100.0%

Counts

241 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 d a (*.f64 a (+.f64 b c)))
✓	99.9%	(fma.f64 d a #s(approx (* a (+ b c)) (*.f64 a c)))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.8%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
✓	94.5%	#s(approx (* a (+ (+ b c) d)) (*.f64 a d))

Compiler

Compiled 88 to 45 computations (48.9% saved)

regimes40.0ms (0.6%)

Memory

-1.5MiB live, 45.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

25.0ms	d
3.0ms	(+.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
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)

regimes40.0ms (0.6%)

Memory

3.0MiB live, 42.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

27.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
2.0ms	a
2.0ms	(+.f64 b c)
2.0ms	(+.f64 (+.f64 b c) d)
2.0ms	c

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)

regimes15.0ms (0.2%)

Memory

5.8MiB live, 44.3MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

3.0ms	(+.f64 (+.f64 b c) d)
2.0ms	(+.f64 b c)
2.0ms	a
2.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
2.0ms	c

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)

regimes13.0ms (0.2%)

Memory

3.3MiB live, 41.9MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

3.0ms	(+.f64 (+.f64 b c) d)
2.0ms	b
2.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
2.0ms	(+.f64 b c)
2.0ms	c

Results

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

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes12.0ms (0.2%)

Memory

-10.8MiB live, 30.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	(+.f64 (+.f64 b c) d)
1.0ms	d
1.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms	c
1.0ms	(+.f64 b c)

Results

Accuracy	Segments	Branch
94.5%	1	`a`
94.5%	1	`b`
94.5%	1	`c`
94.5%	1	`d`
94.5%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
94.5%	1	`(+.f64 (+.f64 b c) d)`
94.5%	1	`(+.f64 b c)`

Compiler

Compiled 47 to 34 computations (27.7% saved)

simplify7.0ms (0.1%)

Memory

-22.6MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
6×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	49
1	29	49

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness669.0ms (10.3%)

Memory

-31.0MiB live, 404.4MiB allocated

Rules

7 648×	`lower-fma.f64`
7 648×	`lower-fma.f32`
6 786×	`lower-fma.f64`
6 786×	`lower-fma.f32`
5 394×	`lower-*.f32`

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
0	7	15
0	10	15
1	46	15
2	388	15
3	5662	15
0	8833	15
0	137	1464
1	465	1464
2	1238	1464
3	3593	1452
4	5707	1452
0	8067	1446

Stop Event

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

Compiler

Compiled 100 to 49 computations (51% saved)

preprocess139.0ms (2.1%)

Memory: 6.5MiB live, 93.4MiB allocated
Remove: (negabs a)
Compiler: Compiled 408 to 226 computations (44.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze471.0ms (7.3%)

sample2.7s (41.2%)

explain96.0ms (1.5%)

preprocess114.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize19.0ms (0.3%)

series7.0ms (0.1%)

simplify153.0ms (2.4%)

rewrite265.0ms (4.1%)

eval65.0ms (1%)

prune99.0ms (1.5%)

simplify6.0ms (0.1%)

localize37.0ms (0.6%)

series13.0ms (0.2%)

simplify183.0ms (2.8%)

rewrite337.0ms (5.2%)

eval165.0ms (2.5%)

prune68.0ms (1%)

simplify5.0ms (0.1%)

localize22.0ms (0.3%)

series4.0ms (0.1%)

simplify284.0ms (4.4%)

rewrite366.0ms (5.6%)

eval72.0ms (1.1%)

prune31.0ms (0.5%)

regimes40.0ms (0.6%)

regimes40.0ms (0.6%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

simplify7.0ms (0.1%)

soundness669.0ms (10.3%)

preprocess139.0ms (2.1%)

end0.0ms (0%)

Profiling