Metrics for Expression, p14

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze257.0ms (5.3%)

Memory

14.0MiB live, 320.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 39 to 28 computations (28.2% saved)

sample2.2s (46.4%)

Memory

-120.6MiB live, 1 933.3MiB allocated

Samples

1.5s

8 256×

valid

Precisions

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

ival-<=: 340.0ms (38.2% of total)

ival-add: 220.0ms (24.7% of total)

const: 206.0ms (23.2% of total)

ival-mult: 55.0ms (6.2% of total)

ival-and: 46.0ms (5.2% of total)

exact: 19.0ms (2.1% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain75.0ms (1.6%)

Memory

-24.4MiB live, 143.6MiB 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

35.0ms	510×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 87 to 39 computations (55.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 13.0ms (75% of total)

ival-mult: 3.0ms (17.3% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess118.0ms (2.4%)

Memory

20.5MiB live, 57.5MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB 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

localize20.0ms (0.4%)

Memory

7.6MiB live, 44.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 b c)
accuracy	0.00390625	(+.f64 (+.f64 b c) d)
accuracy	0.03515625	(*.f64 a (+.f64 (+.f64 b c) d))

Samples

15.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

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

ival-add: 5.0ms (74.3% of total)

ival-mult: 2.0ms (29.7% of total)

adjust: 0.0ms (0% of total)

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

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

series9.0ms (0.2%)

Memory

-18.4MiB live, 17.8MiB 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
2.0ms	c	@	-inf	((* a (+ (+ b c) d)) (+ (+ b c) d) (+ b c))
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))

simplify117.0ms (2.4%)

Memory

-0.0MiB live, 151.4MiB 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)

rewrite241.0ms (5%)

Memory

2.0MiB live, 239.1MiB 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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eval70.0ms (1.5%)

Memory: 34.9MiB live, 71.1MiB allocated
Compiler: Compiled 7 560 to 1 016 computations (86.6% saved)

prune10.0ms (0.2%)

Memory

-6.9MiB live, 28.0MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	388	4	392
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	388	5	393

Accuracy

100.0%

Counts

393 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 d b) a (*.f64 c a))
▶	99.9%	(fma.f64 (+.f64 c b) a (*.f64 d a))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
▶	99.6%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
▶	93.7%	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Compiler

Compiled 33 to 34 computations (-3% saved)

simplify4.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 c a)
cost-diff	0	(+.f64 d b)
cost-diff	192	(fma.f64 (+.f64 d b) a (*.f64 c a))
cost-diff	0	(*.f64 d a)
cost-diff	0	(+.f64 c b)
cost-diff	192	(fma.f64 (+.f64 c b) a (*.f64 d 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	17	78
0	27	76
1	48	76
2	65	76
3	71	76
0	71	76

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

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

localize72.0ms (1.5%)

Memory

-78.5MiB live, 73.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 d b)
accuracy	0	(*.f64 c a)
accuracy	0.00390625	(fma.f64 (+.f64 d b) a (*.f64 c a))
accuracy	0	(+.f64 c b)
accuracy	0	(*.f64 d a)
accuracy	0.0546875	(fma.f64 (+.f64 c b) a (*.f64 d a))
accuracy	0	(+.f64 c d)
accuracy	0.03515625	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
accuracy	0.218851448763921	#s(approx (+ (+ b c) d) (+.f64 c d))
accuracy	0	(*.f64 d a)
accuracy	4.008387302676687	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Samples

46.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 131 to 32 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 25.0ms (75.4% of total)

ival-add: 8.0ms (24.1% of total)

adjust: 0.0ms (0% of total)

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

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

series90.0ms (1.9%)

Memory

8.7MiB live, 46.1MiB allocated

Counts

10 → 348

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

Calls

12 calls:

Time	Variable		Point	Expression
71.0ms	a	@	inf	((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* (+ c b) a) (* d a)) (+ c b) (+ (* (+ d b) a) (* c a)) (+ d b) (* c a))
2.0ms	a	@	-inf	((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* (+ c b) a) (* d a)) (+ c b) (+ (* (+ d b) a) (* c a)) (+ d b) (* c a))
2.0ms	b	@	-inf	((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* (+ c b) a) (* d a)) (+ c b) (+ (* (+ d b) a) (* c a)) (+ d b) (* c a))
1.0ms	a	@	0	((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* (+ c b) a) (* d a)) (+ c b) (+ (* (+ d b) a) (* c a)) (+ d b) (* c a))
1.0ms	c	@	-inf	((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* (+ c b) a) (* d a)) (+ c b) (+ (* (+ d b) a) (* c a)) (+ d b) (* c a))

simplify132.0ms (2.7%)

Memory

3.4MiB live, 118.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	1698
1	509	1698
2	1248	1698
3	3635	1698
4	6048	1698
0	8101	1698

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 324

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

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

rewrite246.0ms (5.1%)

Memory

-14.1MiB live, 300.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
0	27	60
1	120	60
2	1028	60
0	8230	60

Stop Event

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

Counts

10 → 384

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

Outputs
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eval287.0ms (5.9%)

Memory: -4.0MiB live, 165.8MiB allocated
Compiler: Compiled 12 235 to 852 computations (93% saved)

prune42.0ms (0.9%)

Memory

4.3MiB live, 42.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	734	0	734
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	734	5	739

Accuracy

100.0%

Counts

739 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 d b) a (*.f64 c a))
✓	99.9%	(fma.f64 (+.f64 c b) a (*.f64 d a))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.6%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
✓	93.7%	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Compiler

Compiled 66 to 51 computations (22.7% saved)

regimes69.0ms (1.4%)

Memory

-13.1MiB live, 25.6MiB 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 (+.f64 c b) a (*.f64 d a))
(fma.f64 (+.f64 d b) a (*.f64 c a))

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

Calls

7 calls:

53.0ms	a
2.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
2.0ms	(+.f64 (+.f64 b c) d)
2.0ms	d
2.0ms	b

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)

regimes15.0ms (0.3%)

Memory

23.7MiB live, 23.7MiB 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 (+.f64 c b) a (*.f64 d a))

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes61.0ms (1.3%)

Memory

-24.1MiB live, 19.5MiB 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:

51.0ms	c
2.0ms	(+.f64 (+.f64 b c) d)
2.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
2.0ms	d
2.0ms	b

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)

regimes9.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB 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:

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

Results

Accuracy	Segments	Branch
93.7%	1	`a`
93.7%	1	`b`
93.7%	1	`c`
93.7%	1	`d`
93.7%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
93.7%	1	`(+.f64 (+.f64 b c) d)`
93.7%	1	`(+.f64 b c)`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

simplify70.0ms (1.4%)

Memory

5.3MiB live, 44.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	26	37

Stop Event

1×

saturated

Calls

Call 1

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

soundness413.0ms (8.5%)

Memory

-17.8MiB live, 219.2MiB 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
0	84	516
1	276	516
2	776	516
3	2324	516
4	5157	516
5	7415	516
0	8029	516

Stop Event

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

Compiler

Compiled 48 to 36 computations (25% saved)

preprocess164.0ms (3.4%)

Memory: 7.0MiB live, 288.5MiB allocated
Remove: (negabs a)
Compiler: Compiled 322 to 270 computations (16.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze257.0ms (5.3%)

sample2.2s (46.4%)

explain75.0ms (1.6%)

preprocess118.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize20.0ms (0.4%)

series9.0ms (0.2%)

simplify117.0ms (2.4%)

rewrite241.0ms (5%)

eval70.0ms (1.5%)

prune10.0ms (0.2%)

simplify4.0ms (0.1%)

localize72.0ms (1.5%)

series90.0ms (1.9%)

simplify132.0ms (2.7%)

rewrite246.0ms (5.1%)

eval287.0ms (5.9%)

prune42.0ms (0.9%)

regimes69.0ms (1.4%)

regimes15.0ms (0.3%)

regimes61.0ms (1.3%)

regimes9.0ms (0.2%)

simplify70.0ms (1.4%)

soundness413.0ms (8.5%)

preprocess164.0ms (3.4%)

end0.0ms (0%)

Profiling