Metrics for Expression, p14

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze505.0ms (11%)

Memory

11.6MiB live, 442.0MiB 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)

sample1.7s (38.1%)

Memory

-8.6MiB live, 2 547.2MiB allocated

Samples

918.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 620.0ms

ival-<=: 185.0ms (29.8% of total)

const: 182.0ms (29.4% of total)

ival-add: 129.0ms (20.8% of total)

ival-mult: 56.0ms (9% of total)

ival-and: 45.0ms (7.3% of total)

exact: 19.0ms (3.1% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain147.0ms (3.2%)

Memory

8.7MiB live, 103.7MiB 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

42.0ms

512×

valid

Compiler

Compiled 106 to 46 computations (56.6% saved)

Precisions

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

ival-add: 5.0ms (53.6% of total)

ival-mult: 3.0ms (32.2% of total)

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

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

preprocess117.0ms (2.6%)

Memory

-9.5MiB live, 67.0MiB 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

1.2MiB live, 1.2MiB 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

6.3MiB live, 6.3MiB 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

localize25.0ms (0.5%)

Memory

-7.7MiB live, 32.1MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

20.0ms

256×

valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

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

ival-add: 3.0ms (67.7% of total)

ival-mult: 2.0ms (45.1% of total)

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

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

series9.0ms (0.2%)

Memory

-18.8MiB live, 18.5MiB 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	b	@	inf	((* a (+ (+ b c) d)) (+ (+ b c) d) (+ b c))
1.0ms	c	@	inf	((* a (+ (+ b c) d)) (+ (+ b c) d) (+ b c))
0.0ms	c	@	-inf	((* a (+ (+ b c) d)) (+ (+ b c) d) (+ b c))
0.0ms	a	@	-inf	((* a (+ (+ b c) d)) (+ (+ b c) d) (+ b c))

simplify109.0ms (2.4%)

Memory

14.4MiB live, 165.0MiB 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)

rewrite229.0ms (5%)

Memory

-29.4MiB live, 323.0MiB 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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eval45.0ms (1%)

Memory: 25.7MiB live, 102.4MiB allocated
Compiler: Compiled 7 560 to 1 016 computations (86.6% saved)

prune9.0ms (0.2%)

Memory

-19.1MiB live, 24.0MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	388	4	392
Fresh	0	0	0
Picked	1	0	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 (+.f64 d b) a (*.f64 c a))
▶	99.9%	(*.f64 a (+.f64 (+.f64 d c) b))
▶	98.8%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
▶	92.5%	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Compiler

Compiled 25 to 27 computations (-8% saved)

simplify4.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB 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 c)
cost-diff	0	(+.f64 (+.f64 d c) b)
cost-diff	0	(*.f64 a (+.f64 (+.f64 d c) b))
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	18	79
0	28	78
1	55	78
2	71	78
0	71	78

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

localize128.0ms (2.8%)

Memory

2.9MiB live, 41.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (+.f64 d b) a (*.f64 c a))
accuracy	0	(+.f64 d b)
accuracy	0	(*.f64 c a)
accuracy	0	(+.f64 d c)
accuracy	0.00390625	(+.f64 (+.f64 d c) b)
accuracy	0.05859375	(*.f64 a (+.f64 (+.f64 d c) b))
accuracy	0	(+.f64 c d)
accuracy	0.05859375	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
accuracy	0.7196690579472655	#s(approx (+ (+ b c) d) (+.f64 c d))
accuracy	0	(*.f64 d a)
accuracy	4.830408682073993	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Samples

119.0ms

256×

valid

Compiler

Compiled 132 to 33 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 98.0ms (92% of total)

ival-add: 8.0ms (7.5% of total)

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

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

series54.0ms (1.2%)

Memory

-7.2MiB live, 28.5MiB allocated

Counts

11 → 384

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 (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())
#s(alt (+.f64 d c) (patch (+.f64 d c) #<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 d)) (taylor 0 c) (#s(alt (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt (+ b d) (taylor 0 c) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt d (taylor 0 c) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 c) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 c) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 c) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<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 (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ d c))) (taylor inf c) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ d c))) (taylor inf c) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ d c))) (taylor inf c) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<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>) () ())) ())
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#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 (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt (* d (+ a (/ (* a (+ b c)) d))) (taylor inf d) (#s(alt (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt (* d (+ a (/ (* a (+ b c)) d))) (taylor inf d) (#s(alt (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt (* d (+ a (/ (* a (+ b c)) d))) (taylor inf d) (#s(alt (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ c d))) (taylor inf d) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ c d))) (taylor inf d) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ c d))) (taylor inf d) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<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 (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (.f64 a (+.f64 (+.f64 d c) b)) (patch (.f64 a (+.f64 (+.f64 d c) b)) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 d c) b) (patch (+.f64 (+.f64 d c) b) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ c d)) 1))) (taylor -inf d) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ c d)) 1))) (taylor -inf d) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ c d)) 1))) (taylor -inf d) (#s(alt (+.f64 d c) (patch (+.f64 d c) #<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
2.0ms	a	@	inf	((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (* a (+ (+ d c) b)) (+ (+ d c) b) (+ d c) (+ (* (+ d b) a) (* c a)) (+ d b) (* c a))
1.0ms	a	@	-inf	((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (* a (+ (+ d c) b)) (+ (+ d c) b) (+ d c) (+ (* (+ 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) (* a (+ (+ d c) b)) (+ (+ d c) b) (+ d c) (+ (* (+ d b) a) (* c a)) (+ d b) (* c a))
1.0ms	d	@	-inf	((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (* a (+ (+ d c) b)) (+ (+ d c) b) (+ d c) (+ (* (+ d b) a) (* c a)) (+ d b) (* c a))
1.0ms	d	@	inf	((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (* a (+ (+ d c) b)) (+ (+ d c) b) (+ d c) (+ (* (+ d b) a) (* c a)) (+ d b) (* c a))

simplify144.0ms (3.2%)

Memory

16.6MiB live, 96.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	1920
1	413	1920
2	1065	1920
3	3118	1896
4	5387	1896
5	7716	1896
0	8083	1884

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 354

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

rewrite176.0ms (3.8%)

Memory

14.1MiB live, 204.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	66
0	28	65
1	126	65
2	1082	65
0	8239	65

Stop Event

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

Counts

11 → 493

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

Outputs
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eval226.0ms (5%)

Memory: -19.6MiB live, 219.9MiB allocated
Compiler: Compiled 14 081 to 1 136 computations (91.9% saved)

prune48.0ms (1.1%)

Memory

-10.3MiB live, 75.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	847	0	847
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	847	4	851

Accuracy

100.0%

Counts

851 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 d b) a (*.f64 c a))
✓	99.9%	(*.f64 a (+.f64 (+.f64 d c) b))
✓	98.8%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
✓	92.5%	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Compiler

Compiled 57 to 45 computations (21.1% saved)

regimes20.0ms (0.4%)

Memory

13.3MiB live, 51.1MiB 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))
(*.f64 a (+.f64 (+.f64 d c) b))
(fma.f64 (+.f64 d b) a (*.f64 c a))

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

Calls

7 calls:

5.0ms	c
3.0ms	(+.f64 b c)
2.0ms	b
2.0ms	(+.f64 (+.f64 b c) d)
2.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

Results

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

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes18.0ms (0.4%)

Memory

10.5MiB live, 48.4MiB 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))
(*.f64 a (+.f64 (+.f64 d c) b))

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes17.0ms (0.4%)

Memory

-5.8MiB live, 35.9MiB allocated

Counts

3 → 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))

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

Calls

7 calls:

5.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
2.0ms	(+.f64 (+.f64 b c) d)
2.0ms	c
2.0ms	(+.f64 b c)
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)

regimes13.0ms (0.3%)

Memory

-2.1MiB live, 35.5MiB 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:

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

Results

Accuracy	Segments	Branch
98.8%	1	`a`
98.8%	1	`b`
98.8%	1	`c`
98.8%	1	`d`
98.8%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
98.8%	1	`(+.f64 (+.f64 b c) d)`
98.8%	1	`(+.f64 b c)`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes11.0ms (0.2%)

Memory

-9.2MiB live, 29.0MiB 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	d
1.0ms	(+.f64 b c)
1.0ms	(+.f64 (+.f64 b c) d)
1.0ms	a

Results

Accuracy	Segments	Branch
92.5%	1	`a`
92.5%	1	`b`
92.5%	1	`c`
92.5%	1	`d`
92.5%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
92.5%	1	`(+.f64 (+.f64 b c) d)`
92.5%	1	`(+.f64 b c)`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

simplify25.0ms (0.5%)

Memory

35.6MiB live, 70.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	44
1	31	44

Stop Event

1×

saturated

Calls

Call 1

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

soundness486.0ms (10.6%)

Memory

-10.4MiB live, 280.5MiB 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 69 to 48 computations (30.4% saved)

preprocess260.0ms (5.7%)

Memory: -5.3MiB live, 183.5MiB allocated
Remove: (negabs a)
Compiler: Compiled 384 to 316 computations (17.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze505.0ms (11%)

sample1.7s (38.1%)

explain147.0ms (3.2%)

preprocess117.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize25.0ms (0.5%)

series9.0ms (0.2%)

simplify109.0ms (2.4%)

rewrite229.0ms (5%)

eval45.0ms (1%)

prune9.0ms (0.2%)

simplify4.0ms (0.1%)

localize128.0ms (2.8%)

series54.0ms (1.2%)

simplify144.0ms (3.2%)

rewrite176.0ms (3.8%)

eval226.0ms (5%)

prune48.0ms (1.1%)

regimes20.0ms (0.4%)

regimes18.0ms (0.4%)

regimes17.0ms (0.4%)

regimes13.0ms (0.3%)

regimes11.0ms (0.2%)

simplify25.0ms (0.5%)

soundness486.0ms (10.6%)

preprocess260.0ms (5.7%)

end0.0ms (0%)

Profiling