Metrics for Expression, p14

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze294.0ms (5.8%)

Memory

-14.3MiB live, 357.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
25%	0%	0%	100%	0%	0%	0%	5
25%	0%	0%	100%	0%	0%	0%	6
25%	0%	0%	100%	0%	0%	0%	7
37.5%	0%	0%	100%	0%	0%	0%	8
56.3%	0%	0%	100%	0%	0%	0%	9
56.3%	0%	0%	100%	0%	0%	0%	10
56.3%	0%	0%	100%	0%	0%	0%	11
65.6%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 39 to 28 computations (28.2% saved)

sample1.9s (36.8%)

Memory

38.1MiB live, 2 122.5MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 959.0ms

ival-<=: 408.0ms (42.6% of total)

const: 247.0ms (25.8% of total)

ival-add: 127.0ms (13.2% of total)

ival-mult: 110.0ms (11.5% of total)

ival-and: 45.0ms (4.7% of total)

exact: 18.0ms (1.9% of total)

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

Bogosity

explain68.0ms (1.3%)

Memory

21.0MiB live, 95.1MiB 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

27.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

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

ival-add: 8.0ms (66.3% of total)

ival-mult: 3.0ms (24.9% of total)

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

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

preprocess133.0ms (2.6%)

Memory

-23.5MiB live, 56.7MiB allocated

Algorithm

1×	egg-herbie

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

Symmetry

(negabs a)

(sort b c d)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB 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))

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

localize22.0ms (0.4%)

Memory

-8.8MiB live, 27.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (+.f64 b c) d)
accuracy	0	(+.f64 b c)
accuracy	0.0234375	(*.f64 a (+.f64 (+.f64 b c) d))

Samples

18.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-add: 7.0ms (74% of total)

ival-mult: 2.0ms (21.1% of total)

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

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

series7.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB 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 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 (+ 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 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 (* 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 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 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 (* 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 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 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>) () ())) ())
#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 (+ 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 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 (* 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 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 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 (* 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 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 (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 (* 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 (+ 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 (+ 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 (* 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 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 (* 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 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>) () ())) ())

Calls

12 calls:

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

simplify122.0ms (2.4%)

Memory

7.5MiB live, 127.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	516
1	276	516
2	776	516
3	2324	516
4	5157	516
5	7415	516
0	8029	516

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 96

Calls

Call 1

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

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

rewrite195.0ms (3.8%)

Memory

3.0MiB live, 316.6MiB allocated

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
#<batchref>
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eval136.0ms (2.7%)

Memory: 1.8MiB live, 124.9MiB allocated
Compiler: Compiled 7 560 to 1 016 computations (86.6% saved)

prune12.0ms (0.2%)

Memory

-15.4MiB live, 23.1MiB 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 (+.f64 c b) a))
✓	100.0%	(*.f64 a (+.f64 (+.f64 b c) d))
▶	99.6%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
▶	93.9%	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Compiler

Compiled 25 to 27 computations (-8% saved)

simplify4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	62
0	21	61
1	35	61
2	53	61
3	83	61
4	83	61
0	83	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.6%)

Memory

16.8MiB live, 53.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 d a (*.f64 (+.f64 c b) a))
accuracy	0	(+.f64 c b)
accuracy	0.03125	(*.f64 (+.f64 c b) a)
accuracy	0	(+.f64 c d)
accuracy	0.0234375	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
accuracy	0.22677507053132603	#s(approx (+ (+ b c) d) (+.f64 c d))
accuracy	0	(*.f64 d a)
accuracy	3.87941900590229	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Samples

25.0ms

256×

valid

Compiler

Compiled 53 to 14 computations (73.6% saved)

Precisions

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

ival-add: 6.0ms (54.4% of total)

ival-mult: 5.0ms (45.4% of total)

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

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

series48.0ms (0.9%)

Memory

-22.0MiB live, 16.0MiB allocated

Counts

8 → 288

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	b	@	-inf	((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* d a) (* (+ c b) a)) (* (+ c b) a) (+ c b))
2.0ms	a	@	inf	((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* d a) (* (+ c b) a)) (* (+ c b) a) (+ c b))
1.0ms	a	@	-inf	((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* d a) (* (+ c b) a)) (* (+ c b) a) (+ c b))
1.0ms	a	@	0	((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* d a) (* (+ c b) a)) (* (+ c b) a) (+ c b))
1.0ms	d	@	-inf	((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* d a) (* (+ c b) a)) (* (+ c b) a) (+ c b))

simplify169.0ms (3.3%)

Memory

-30.8MiB live, 142.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	1464
1	465	1464
2	1237	1464
3	3590	1452
4	5700	1452
0	8073	1446

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 270

Calls

Call 1

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

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

rewrite267.0ms (5.3%)

Memory

-20.5MiB live, 255.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	53
0	21	52
1	88	52
2	758	52
0	8532	52

Stop Event

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

Counts

8 → 288

Calls

Call 1

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

Outputs
#<batchref>
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eval105.0ms (2.1%)

Memory: 19.0MiB live, 136.7MiB allocated
Compiler: Compiled 7 970 to 934 computations (88.3% saved)

prune13.0ms (0.3%)

Memory

11.8MiB live, 47.4MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	557	1	558
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	557	5	562

Accuracy

100.0%

Counts

562 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 d a (*.f64 (+.f64 c b) a))
▶	99.6%	(fma.f64 d a #s(approx (* (+ c b) a) (*.f64 c a)))
✓	100.0%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.6%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
✓	93.9%	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Compiler

Compiled 32 to 34 computations (-6.3% saved)

simplify5.0ms (0.1%)

Memory

-27.7MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	12	27
1	17	27
2	23	27
3	23	27
0	23	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.4%)

Memory

15.2MiB live, 53.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 d a #s(approx (* (+ c b) a) (*.f64 c a)))
accuracy	0	(*.f64 c a)
accuracy	4.083755174650099	#s(approx (* (+ c b) a) (*.f64 c a))

Samples

17.0ms

256×

valid

Compiler

Compiled 22 to 11 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (64% of total)

ival-add: 3.0ms (38.4% of total)

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

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

series7.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

3 → 108

Calls

Call 1

Inputs

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

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

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

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

Calls

12 calls:

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

simplify176.0ms (3.5%)

Memory

3.4MiB live, 164.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	546
1	238	546
2	756	546
3	1931	546
4	5080	546
0	8251	546

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite456.0ms (9%)

Memory

-27.8MiB live, 218.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	12	24
1	42	24
2	292	24
3	2869	24
0	9603	24

Stop Event

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

Counts

3 → 129

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>

eval55.0ms (1.1%)

Memory: 24.4MiB live, 61.3MiB allocated
Compiler: Compiled 5 875 to 426 computations (92.7% saved)

prune7.0ms (0.1%)

Memory

-11.3MiB live, 24.6MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	237	5	242

Accuracy

100.0%

Counts

242 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 d a (*.f64 (+.f64 c b) a))
✓	99.6%	(fma.f64 d a #s(approx (* (+ c b) a) (*.f64 c a)))
✓	100.0%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.6%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
✓	93.9%	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Compiler

Compiled 64 to 52 computations (18.8% saved)

regimes22.0ms (0.4%)

Memory

0.1MiB live, 48.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
3.0ms	(+.f64 b c)
3.0ms	d
2.0ms	(+.f64 (+.f64 b c) d)
2.0ms	c

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 19 to 34 computations (-78.9% saved)

regimes29.0ms (0.6%)

Memory

-4.8MiB live, 33.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

15.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
2.0ms	d
2.0ms	(+.f64 (+.f64 b c) d)
2.0ms	c
2.0ms	(+.f64 b c)

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 19 to 34 computations (-78.9% saved)

regimes45.0ms (0.9%)

Memory

-5.0MiB live, 32.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

35.0ms	c
2.0ms	b
2.0ms	a
2.0ms	d
2.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

Results

Accuracy	Segments	Branch
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`c`
99.6%	1	`d`
99.6%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
99.6%	1	`(+.f64 (+.f64 b c) d)`
99.6%	1	`(+.f64 b c)`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes12.0ms (0.2%)

Memory

-3.7MiB live, 33.3MiB 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 d a))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
93.9%	1	`a`
93.9%	1	`b`
93.9%	1	`c`
93.9%	1	`d`
93.9%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
93.9%	1	`(+.f64 (+.f64 b c) d)`
93.9%	1	`(+.f64 b c)`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

simplify60.0ms (1.2%)

Memory

-3.6MiB live, 47.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	25	37

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness579.0ms (11.4%)

Memory

22.1MiB live, 179.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	516
1	276	516
2	776	516
3	2324	516
4	5157	516
5	7415	516
0	8029	516
0	7	15
0	10	15
1	46	15
2	388	15
3	5662	15
0	8833	15

Stop Event

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

Compiler

Compiled 56 to 37 computations (33.9% saved)

preprocess110.0ms (2.2%)

Memory: -11.5MiB live, 223.3MiB allocated
Remove: (negabs a)
Compiler: Compiled 322 to 268 computations (16.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze294.0ms (5.8%)

sample1.9s (36.8%)

explain68.0ms (1.3%)

preprocess133.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize22.0ms (0.4%)

series7.0ms (0.1%)

simplify122.0ms (2.4%)

rewrite195.0ms (3.8%)

eval136.0ms (2.7%)

prune12.0ms (0.2%)

simplify4.0ms (0.1%)

localize32.0ms (0.6%)

series48.0ms (0.9%)

simplify169.0ms (3.3%)

rewrite267.0ms (5.3%)

eval105.0ms (2.1%)

prune13.0ms (0.3%)

simplify5.0ms (0.1%)

localize22.0ms (0.4%)

series7.0ms (0.1%)

simplify176.0ms (3.5%)

rewrite456.0ms (9%)

eval55.0ms (1.1%)

prune7.0ms (0.1%)

regimes22.0ms (0.4%)

regimes29.0ms (0.6%)

regimes45.0ms (0.9%)

regimes12.0ms (0.2%)

simplify60.0ms (1.2%)

soundness579.0ms (11.4%)

preprocess110.0ms (2.2%)

end0.0ms (0%)

Profiling