Metrics for Expression, p6

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 41 to 33 computations (19.5% saved)

sample1.9s (43.3%)

Memory

-137.0MiB live, 2 325.7MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 935.0ms

ival-<=: 344.0ms (36.8% of total)

ival-mult: 317.0ms (33.9% of total)

ival-add: 199.0ms (21.3% of total)

ival-and: 40.0ms (4.3% of total)

exact: 31.0ms (3.3% of total)

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

Bogosity

explain117.0ms (2.7%)

Memory

-11.6MiB live, 192.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
75	19	(-13.613715802732846 -2.6583120013415273 3.156048358372243 13.129588336526595)	30	(-13.15657202092509 -2.701683068713774 3.2633711780010772 12.836767399472704)	`(+.f64 a (+.f64 b (+.f64 c d)))`
0	0	-	0	-	`a`
0	0	-	0	-	`d`
0	0	-	0	-	`(+.f64 c d)`
0	0	-	0	-	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
0	0	-	0	-	`(+.f64 b (+.f64 c d))`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 a (+.f64 b (+.f64 c d)))`	cancellation	64	78

Confusion

	Predicted +	Predicted -
+	53	78
-	11	114

Precision

0.828125

Recall

0.40458015267175573

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	53	49	29
-	11	29	85

Precision?

0.7183098591549296

Recall?

0.7786259541984732

Freqs

test

number	freq
0	192
1	64

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

65.0ms

512×

valid

Compiler

Compiled 75 to 31 computations (58.7% saved)

Precisions

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

ival-add: 7.0ms (64.3% of total)

ival-mult: 3.0ms (27.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess240.0ms (5.5%)

Memory

29.3MiB live, 68.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 512×	`distribute-rgt-in`
1 442×	`unsub-neg`
1 426×	`distribute-lft-in`
1 278×	`associate--r+`
940×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	132
1	150	126
2	449	126
3	2011	126
4	5325	126
5	6447	126
6	6863	126
7	7028	126
8	7070	126
9	7075	126
10	7130	126
11	7138	126
12	7138	126
13	7138	126
14	7530	126
15	7530	126
16	7530	126
0	9	9
0	13	9
1	21	9
2	57	9
3	159	9
4	286	9
5	287	9
0	287	9

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))

Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 d c) b) a))

Symmetry

(sort a b c d)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.9%	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify8.0ms (0.2%)

Memory

-21.9MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 c d)
cost-diff	0	(+.f64 b (+.f64 c d))
cost-diff	0	(+.f64 a (+.f64 b (+.f64 c d)))
cost-diff	0	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))

Rules

200×	`lower-fma.f64`
200×	`lower-fma.f32`
200×	`lower-+.f32`
194×	`lower-+.f64`
104×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	13	29
1	21	29
2	57	29
3	159	29
4	286	29
5	287	29
0	287	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(+.f64 a (+.f64 b (+.f64 c d)))
a
(+.f64 b (+.f64 c d))
b
(+.f64 c d)
c
d
#s(literal 2 binary64)

Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 d c) b) a))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 (+.f64 d c) b) a)
a
(+.f64 b (+.f64 c d))
(+.f64 (+.f64 d c) b)
b
(+.f64 c d)
(+.f64 d c)
c
d
#s(literal 2 binary64)

localize20.0ms (0.5%)

Memory

17.6MiB live, 56.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 c d)
accuracy	0	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
accuracy	0.45150375976844204	(+.f64 b (+.f64 c d))
accuracy	2.7645393023901486	(+.f64 a (+.f64 b (+.f64 c d)))

Samples

14.0ms

256×

valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 4.0ms (62.5% of total)

ival-mult: 2.0ms (31.3% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.8%)

Memory

-36.8MiB live, 49.8MiB allocated

Counts

4 → 156

Calls

Call 1

Inputs
#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())
#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())
#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())

Outputs
#s(alt (* 2 (+ a (+ b d))) (taylor 0 c) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b d)) (taylor 0 c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ b d) (taylor 0 c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.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 (* 2 c) (taylor inf c) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c))))) (taylor inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c))))) (taylor inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c))))) (taylor inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.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 (* 2 c) (taylor -inf c) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2))) (taylor -inf c) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2))) (taylor -inf c) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2))) (taylor -inf c) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt c (taylor -inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1))) (taylor -inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1))) (taylor -inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1))) (taylor -inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt c (taylor -inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.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 (* 2 (+ a (+ c d))) (taylor 0 b) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 b) (* 2 (+ a (+ c d)))) (taylor 0 b) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 b) (* 2 (+ a (+ c d)))) (taylor 0 b) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 b) (* 2 (+ a (+ c d)))) (taylor 0 b) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ c d)) (taylor 0 b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor inf b) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b)))) (taylor inf b) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b)))) (taylor inf b) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b)))) (taylor inf b) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b))))) (taylor inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b))))) (taylor inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b))))) (taylor inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ c b) (/ d b)))) (taylor inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ c b) (/ d b)))) (taylor inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ c b) (/ d b)))) (taylor inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor -inf b) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2))) (taylor -inf b) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2))) (taylor -inf b) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2))) (taylor -inf b) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1))) (taylor -inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1))) (taylor -inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1))) (taylor -inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) (taylor -inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) (taylor -inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) (taylor -inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ b (+ c d))) (taylor 0 a) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 a) (* 2 (+ b (+ c d)))) (taylor 0 a) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 a) (* 2 (+ b (+ c d)))) (taylor 0 a) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 a) (* 2 (+ b (+ c d)))) (taylor 0 a) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* 2 a) (taylor inf a) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a)))) (taylor inf a) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a)))) (taylor inf a) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a)))) (taylor inf a) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a))))) (taylor inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a))))) (taylor inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a))))) (taylor inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* 2 a) (taylor -inf a) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2))) (taylor -inf a) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2))) (taylor -inf a) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2))) (taylor -inf a) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1))) (taylor -inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1))) (taylor -inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1))) (taylor -inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ a (+ b c))) (taylor 0 d) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 d) (* 2 (+ a (+ b c)))) (taylor 0 d) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 d) (* 2 (+ a (+ b c)))) (taylor 0 d) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 d) (* 2 (+ a (+ b c)))) (taylor 0 d) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b c)) (taylor 0 d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt c (taylor 0 d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.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 (* 2 d) (taylor -inf d) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.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>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	d	@	inf	((* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d))
8.0ms	d	@	0	((* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d))
1.0ms	c	@	inf	((* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d))
1.0ms	b	@	inf	((* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d))
0.0ms	c	@	-inf	((* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d))

simplify140.0ms (3.2%)

Memory

1.8MiB live, 156.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 904×	`lower-fma.f64`
6 904×	`lower-fma.f32`
3 448×	`lower-*.f64`
3 448×	`lower-*.f32`
2 444×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	890
1	436	890
2	1261	890
3	4089	878
0	8115	875

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 136

Calls

Call 1

Inputs
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ a (+ b d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ b d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
d
(+ c d)
(+ c d)
(+ c d)
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ 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)))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
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)))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ a (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ c d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* 2 b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ a (+ b c))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ b c)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
c
(+ c d)
(+ c d)
(+ c d)
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ 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)))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
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)))

Outputs
(* 2 (+ a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) a) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ a (+ b d))
(+.f64 (+.f64 d b) a)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ b d)
(+.f64 d b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
d
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c d) b)
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c d) b)
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c d) b)
c
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 (+.f64 c d) b)
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 (+.f64 c d) b)
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 (+.f64 c d) b)
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
(* 2 (+ a (+ c d)))
(*.f64 (+.f64 (+.f64 c d) a) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ a (+ c d))
(+.f64 (+.f64 c d) a)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ c d)
(+.f64 c d)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 (+.f64 c d) b)
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 (+.f64 c d) b)
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 (+.f64 c d) b)
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 (+.f64 c d) b)
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 (+.f64 c d) b)
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 (+.f64 c d) b)
(* 2 (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 c d) b) #s(literal 2 binary64))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(fma.f64 (/.f64 c a) a (+.f64 (+.f64 d b) a))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(fma.f64 (/.f64 c a) a (+.f64 (+.f64 d b) a))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(fma.f64 (/.f64 c a) a (+.f64 (+.f64 d b) a))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* 2 (+ a (+ b c)))
(*.f64 (+.f64 (+.f64 c b) a) #s(literal 2 binary64))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ a (+ b c))
(+.f64 (+.f64 c b) a)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ b c)
(+.f64 c b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
c
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 c d) b)
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 c d) b)
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 c d) b)
d
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
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)

rewrite181.0ms (4.2%)

Memory

14.1MiB live, 277.9MiB allocated

Rules

6 242×	`lower-fma.f64`
6 242×	`lower-fma.f32`
4 710×	`lower-*.f32`
4 708×	`lower-*.f64`
3 658×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	13	24
1	58	24
2	569	24
0	8247	24

Stop Event

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

Counts

4 → 373

Calls

Call 1

Inputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 b (+.f64 c d))
(+.f64 c d)

Outputs
(.f64 (/.f64 (.f64 (.f64 (-.f64 a (+.f64 (+.f64 d c) b)) (+.f64 (+.f64 (+.f64 d c) b) a)) #s(literal 2 binary64)) (.f64 (fma.f64 (+.f64 (+.f64 d c) b) (+.f64 (+.f64 (+.f64 d c) b) a) (.f64 a a)) (-.f64 a (+.f64 (+.f64 d c) b)))) (fma.f64 (+.f64 (+.f64 d c) b) (+.f64 (+.f64 (+.f64 d c) b) a) (.f64 a a)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 a (+.f64 (+.f64 d c) b)) (+.f64 (+.f64 (+.f64 d c) b) a)) #s(literal 2 binary64)) (.f64 (-.f64 a (+.f64 (+.f64 d c) b)) (+.f64 (+.f64 (+.f64 d c) b) a))) (+.f64 (+.f64 (+.f64 d c) b) a))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (+.f64 (+.f64 d c) b) (+.f64 (+.f64 d c) b)) (+.f64 (+.f64 d c) b) (.f64 (.f64 a a) a)) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b) (.f64 a a)) (-.f64 (.f64 a a) (.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b))))) (-.f64 (.f64 a a) (*.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (+.f64 (+.f64 d c) b) (+.f64 (+.f64 d c) b)) (+.f64 (+.f64 d c) b) (.f64 (.f64 a a) a)) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 a a)) a (.f64 (.f64 (.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b)) (.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b))) (.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b))))) (fma.f64 (.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b)) (-.f64 (.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b)) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))))
(.f64 (.f64 (*.f64 (-.f64 a (+.f64 (+.f64 d c) b)) (+.f64 (+.f64 (+.f64 d c) b) a)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a (+.f64 (+.f64 d c) b))))
(.f64 (.f64 (fma.f64 (.f64 (+.f64 (+.f64 d c) b) (+.f64 (+.f64 d c) b)) (+.f64 (+.f64 d c) b) (.f64 (.f64 a a) a)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b) (.f64 a a))))
(.f64 (.f64 (-.f64 a (+.f64 (+.f64 d c) b)) (+.f64 (+.f64 (+.f64 d c) b) a)) (/.f64 #s(literal 2 binary64) (-.f64 a (+.f64 (+.f64 d c) b))))
(.f64 (.f64 (-.f64 a (+.f64 (+.f64 d c) b)) (+.f64 (+.f64 (+.f64 d c) b) a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a (+.f64 (+.f64 d c) b))) #s(literal 2 binary64)))
(.f64 (fma.f64 (.f64 (+.f64 (+.f64 d c) b) (+.f64 (+.f64 d c) b)) (+.f64 (+.f64 d c) b) (.f64 (.f64 a a) a)) (/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b) (*.f64 a a))))
(.f64 (fma.f64 (.f64 (+.f64 (+.f64 d c) b) (+.f64 (+.f64 d c) b)) (+.f64 (+.f64 d c) b) (.f64 (.f64 a a) a)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b) (.f64 a a))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 d c) b) a))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (+.f64 (+.f64 (+.f64 d c) b) a) (+.f64 a (-.f64 b (+.f64 d c)))) #s(literal 2 binary64)) (+.f64 a (-.f64 b (+.f64 d c))))
(/.f64 (.f64 (.f64 (+.f64 (+.f64 (+.f64 d c) b) a) (-.f64 (+.f64 (+.f64 d c) b) a)) #s(literal 2 binary64)) (-.f64 (+.f64 (+.f64 d c) b) a))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 b a) (+.f64 b a)) (+.f64 b a) (.f64 (.f64 (+.f64 d c) (+.f64 d c)) (+.f64 d c))) #s(literal 2 binary64)) (fma.f64 (+.f64 b a) (+.f64 b a) (*.f64 (+.f64 d c) (-.f64 (+.f64 d c) (+.f64 b a)))))
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(fma.f64 b (/.f64 b (-.f64 b (+.f64 d c))) (neg.f64 (/.f64 (*.f64 (+.f64 d c) (+.f64 d c)) (-.f64 b (+.f64 d c)))))
(-.f64 (+.f64 b (.f64 c (/.f64 c (-.f64 c d)))) (.f64 d (/.f64 d (-.f64 c d))))
(-.f64 (/.f64 (.f64 (+.f64 c b) (+.f64 c b)) (-.f64 (+.f64 c b) d)) (/.f64 (.f64 d d) (-.f64 (+.f64 c b) d)))
(-.f64 (/.f64 (.f64 (+.f64 d c) (+.f64 d c)) (-.f64 (+.f64 d c) b)) (/.f64 (.f64 b b) (-.f64 (+.f64 d c) b)))
(-.f64 (.f64 b (/.f64 b (-.f64 b (+.f64 d c)))) (/.f64 (.f64 (+.f64 d c) (+.f64 d c)) (-.f64 b (+.f64 d c))))
(-.f64 (.f64 c (/.f64 c (-.f64 c d))) (-.f64 (.f64 d (/.f64 d (-.f64 c d))) b))
(+.f64 (+.f64 d b) c)
(+.f64 (.f64 b (/.f64 b (-.f64 b (+.f64 d c)))) (neg.f64 (/.f64 (.f64 (+.f64 d c) (+.f64 d c)) (-.f64 b (+.f64 d c)))))
(+.f64 (+.f64 c b) d)
(+.f64 (+.f64 d c) b)
(+.f64 d (+.f64 c b))
(+.f64 c (+.f64 d b))
(+.f64 b (+.f64 d c))
(.f64 (/.f64 (.f64 (-.f64 c d) (+.f64 d c)) (.f64 (fma.f64 (+.f64 d c) d (.f64 c c)) (-.f64 c d))) (fma.f64 (+.f64 d c) d (*.f64 c c)))
(.f64 (/.f64 (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c)) (.f64 (fma.f64 (-.f64 d c) d (.f64 c c)) (-.f64 (.f64 c c) (.f64 (-.f64 d c) d)))) (-.f64 (.f64 c c) (.f64 (-.f64 d c) d)))
(.f64 (/.f64 (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c)) (fma.f64 (.f64 (.f64 (.f64 c c) c) (.f64 c c)) c (.f64 (.f64 (.f64 (-.f64 d c) d) (.f64 (-.f64 d c) d)) (.f64 (-.f64 d c) d)))) (fma.f64 (.f64 (-.f64 d c) d) (-.f64 (.f64 (-.f64 d c) d) (.f64 c c)) (.f64 (.f64 c c) (*.f64 c c))))
(.f64 (/.f64 (.f64 (-.f64 c d) (+.f64 d c)) (*.f64 (-.f64 c d) (+.f64 d c))) (+.f64 d c))
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(.f64 (/.f64 #s(literal 1 binary64) (-.f64 c d)) (.f64 (-.f64 c d) (+.f64 d c)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 d c) d (.f64 c c))) (fma.f64 (.f64 d d) d (.f64 (*.f64 c c) c)))
(*.f64 #s(literal 1 binary64) (+.f64 d c))
(.f64 (neg.f64 (.f64 (-.f64 c d) (+.f64 d c))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 c d))))
(.f64 (neg.f64 (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)))))
(.f64 (.f64 (-.f64 c d) (+.f64 d c)) (/.f64 #s(literal 1 binary64) (-.f64 c d)))
(.f64 (fma.f64 (-.f64 d c) d (.f64 c c)) (/.f64 (+.f64 d c) (fma.f64 (-.f64 d c) d (*.f64 c c))))
(.f64 (fma.f64 (-.f64 d c) d (.f64 c c)) (.f64 (+.f64 d c) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 d c) d (.f64 c c)))))
(.f64 (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 d c) d (*.f64 c c))))
(*.f64 (+.f64 d c) (/.f64 (-.f64 c d) (-.f64 c d)))
(.f64 (+.f64 d c) (.f64 (-.f64 c d) (/.f64 #s(literal 1 binary64) (-.f64 c d))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 d c)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 d d (.f64 c c)) (.f64 (-.f64 c d) (+.f64 d c))) (/.f64 #s(literal 1 binary64) (-.f64 c d))) (fma.f64 d d (*.f64 c c)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c)) (.f64 (fma.f64 (+.f64 d c) d (.f64 c c)) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 c d))) (fma.f64 (.f64 d d) (fma.f64 d d (.f64 c c)) (.f64 (.f64 c c) (.f64 c c))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c)) (.f64 (fma.f64 (+.f64 d c) d (.f64 c c)) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 d c) d (.f64 c c)))) (.f64 (fma.f64 (+.f64 d c) d (.f64 c c)) (-.f64 c d)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d)) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c)) (.f64 (.f64 c c) c))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 d c) d (.f64 c c)))) (fma.f64 (.f64 (.f64 d d) d) (-.f64 (.f64 (.f64 d d) d) (.f64 (.f64 c c) c)) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c))))
(/.f64 (.f64 (.f64 (-.f64 c d) (+.f64 d c)) #s(literal 1 binary64)) (-.f64 c d))
(/.f64 (.f64 (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c)) #s(literal 1 binary64)) (fma.f64 (-.f64 d c) d (*.f64 c c)))
(/.f64 (-.f64 (.f64 (.f64 c (/.f64 c (-.f64 c d))) (.f64 c (/.f64 c (-.f64 c d)))) (.f64 (.f64 d (/.f64 d (-.f64 c d))) (.f64 d (/.f64 d (-.f64 c d))))) (fma.f64 c (/.f64 c (-.f64 c d)) (*.f64 d (/.f64 d (-.f64 c d)))))
(/.f64 (-.f64 (pow.f64 (.f64 c (/.f64 c (-.f64 c d))) #s(literal 3 binary64)) (pow.f64 (.f64 d (/.f64 d (-.f64 c d))) #s(literal 3 binary64))) (fma.f64 (.f64 c (/.f64 c (-.f64 c d))) (.f64 c (/.f64 c (-.f64 c d))) (fma.f64 (.f64 d (/.f64 d (-.f64 c d))) (.f64 d (/.f64 d (-.f64 c d))) (.f64 (.f64 c (/.f64 c (-.f64 c d))) (*.f64 d (/.f64 d (-.f64 c d)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c))) (neg.f64 (-.f64 d c)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 d c) d (.f64 c c)))))
(/.f64 (-.f64 (.f64 (.f64 c c) (-.f64 c d)) (.f64 (-.f64 c d) (.f64 d d))) (*.f64 (-.f64 c d) (-.f64 c d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 d c))))
(/.f64 (.f64 (fma.f64 d d (.f64 c c)) (.f64 (-.f64 c d) (+.f64 d c))) (.f64 (-.f64 c d) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (-.f64 d c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 d c) (*.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 d c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 d c)))
(/.f64 (.f64 (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c)) (.f64 (fma.f64 (+.f64 d c) d (.f64 c c)) (-.f64 c d))) (.f64 (-.f64 c d) (fma.f64 (.f64 d d) (fma.f64 d d (.f64 c c)) (.f64 (.f64 c c) (.f64 c c)))))
(/.f64 (.f64 (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c)) (.f64 (fma.f64 (+.f64 d c) d (.f64 c c)) (-.f64 c d))) (.f64 (fma.f64 (-.f64 d c) d (.f64 c c)) (.f64 (fma.f64 (+.f64 d c) d (.f64 c c)) (-.f64 c d))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 d d) d) (.f64 (.f64 d d) d)) (.f64 (.f64 d d) d) (.f64 (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c)) (.f64 (.f64 c c) c))) (.f64 (fma.f64 (-.f64 d c) d (.f64 c c)) (fma.f64 (.f64 (.f64 d d) d) (-.f64 (.f64 (.f64 d d) d) (.f64 (.f64 c c) c)) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 c c) c)))))
(/.f64 (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (-.f64 c d)))
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(/.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (-.f64 c d))
(/.f64 (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c)) (fma.f64 (-.f64 d c) d (.f64 c c)))
(neg.f64 (neg.f64 (+.f64 d c)))
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(fma.f64 (/.f64 (.f64 c c) (.f64 (-.f64 c d) (+.f64 d c))) (+.f64 d c) (neg.f64 (*.f64 d (/.f64 d (-.f64 c d)))))
(fma.f64 (.f64 c c) (/.f64 #s(literal 1 binary64) (-.f64 c d)) (neg.f64 (.f64 d (/.f64 d (-.f64 c d)))))
(fma.f64 c (/.f64 c (-.f64 c d)) (neg.f64 (*.f64 d (/.f64 d (-.f64 c d)))))
(-.f64 (/.f64 (.f64 d d) (-.f64 d c)) (/.f64 (.f64 c c) (-.f64 d c)))
(-.f64 (.f64 c (/.f64 c (-.f64 c d))) (.f64 d (/.f64 d (-.f64 c d))))
(+.f64 (.f64 c (/.f64 c (-.f64 c d))) (neg.f64 (.f64 d (/.f64 d (-.f64 c d)))))
(+.f64 d c)
(+.f64 c d)

eval65.0ms (1.5%)

Memory: -2.9MiB live, 161.0MiB allocated
Compiler: Compiled 13 299 to 1 445 computations (89.1% saved)

prune104.0ms (2.4%)

Memory

-3.0MiB live, 196.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	505	4	509
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	506	4	510

Accuracy

100.0%

Counts

510 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
▶	11.6%	(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
▶	11.6%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
▶	6.2%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify9.0ms (0.2%)

Memory

-23.8MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 c b)
cost-diff	0	(+.f64 d a)
cost-diff	0	(+.f64 (+.f64 d a) (+.f64 c b))
cost-diff	0	(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
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 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
cost-diff	0	(*.f64 c #s(literal 2 binary64))
cost-diff	0	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
cost-diff	0	(*.f64 b #s(literal 2 binary64))
cost-diff	0	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
208×	`lower-+.f32`
198×	`lower-+.f64`
110×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	103
0	30	103
1	50	103
2	117	103
3	227	103
4	253	103
0	253	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
(*.f64 b #s(literal 2 binary64))
b
#s(literal 2 binary64)
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
(*.f64 c #s(literal 2 binary64))
c
#s(literal 2 binary64)
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
(+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d)))
a
#s(approx (+ b (+ c d)) (+.f64 c d))
(+.f64 c d)
c
d
#s(literal 2 binary64)
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(+.f64 (+.f64 d a) (+.f64 c b))
(+.f64 d a)
d
a
(+.f64 c b)
c
b
#s(literal 2 binary64)

Outputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
(*.f64 b #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) b)
b
#s(literal 2 binary64)
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
(*.f64 c #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) c)
c
#s(literal 2 binary64)
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) #s(literal 2 binary64))
(+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d)))
(+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a)
a
#s(approx (+ b (+ c d)) (+.f64 c d))
#s(approx (+ b (+ c d)) (+.f64 d c))
(+.f64 c d)
(+.f64 d c)
c
d
#s(literal 2 binary64)
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 (+.f64 d b) a) c) #s(literal 2 binary64))
(+.f64 (+.f64 d a) (+.f64 c b))
(+.f64 (+.f64 (+.f64 d b) a) c)
(+.f64 d a)
d
a
(+.f64 c b)
c
b
#s(literal 2 binary64)

localize54.0ms (1.3%)

Memory

31.1MiB live, 69.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (+.f64 d a) (+.f64 c b))
accuracy	0	(+.f64 d a)
accuracy	0	(+.f64 c b)
accuracy	0	(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
accuracy	0	(+.f64 c d)
accuracy	0	(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
accuracy	2.7645393023901486	(+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d)))
accuracy	50.23047688010942	#s(approx (+ b (+ c d)) (+.f64 c d))
accuracy	0	(*.f64 c #s(literal 2 binary64))
accuracy	56.59616638683341	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
accuracy	0	(*.f64 b #s(literal 2 binary64))
accuracy	60.04936639877466	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))

Samples

45.0ms

256×

valid

Compiler

Compiled 85 to 17 computations (80% saved)

Precisions

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

ival-add: 6.0ms (49.9% of total)

ival-mult: 5.0ms (41.6% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.4%)

Memory

-6.9MiB live, 31.7MiB allocated

Counts

12 → 420

Calls

Call 1

Inputs
#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 b #s(literal 2 binary64)) (patch (.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 c #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 c #s(literal 2 binary64)) (patch (.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<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 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())
#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())
#s(alt (+.f64 c b) (patch (+.f64 c b) #<representation binary64>) () ())

Outputs
#s(alt (* 2 (+ a (+ b d))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ a (+ b d))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 c #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 c #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 c #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 c #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor 0 c) (#s(alt (.f64 c #s(literal 2 binary64)) (patch (.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor 0 c) (#s(alt (.f64 c #s(literal 2 binary64)) (patch (.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor 0 c) (#s(alt (.f64 c #s(literal 2 binary64)) (patch (.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor 0 c) (#s(alt (.f64 c #s(literal 2 binary64)) (patch (.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ a (+ b d))) (taylor 0 c) (#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<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 (+ b (+ c 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 (+ b (+ c 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 (+ b (+ c 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 (* 2 (+ a (+ b d))) (taylor 0 c) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b d)) (taylor 0 c) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<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 (* 2 c) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 c #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 c #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 c #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 c #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor inf c) (#s(alt (.f64 c #s(literal 2 binary64)) (patch (.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor inf c) (#s(alt (.f64 c #s(literal 2 binary64)) (patch (.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor inf c) (#s(alt (.f64 c #s(literal 2 binary64)) (patch (.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor inf c) (#s(alt (.f64 c #s(literal 2 binary64)) (patch (.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor inf c) (#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 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 (+ 1 (+ (/ a c) (+ (/ b c) (/ 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 (+ 1 (+ (/ a c) (+ (/ b c) (/ 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 (+ 1 (+ (/ a c) (+ (/ b c) (/ 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 (* 2 c) (taylor inf c) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c))))) (taylor inf c) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c))))) (taylor inf c) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
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#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 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 (+ 1 (+ (/ a d) (+ (/ b d) (/ 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 (+ 1 (+ (/ a d) (+ (/ b d) (/ 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 (+ 1 (+ (/ a d) (+ (/ b d) (/ 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 (* 2 d) (taylor inf d) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ a d))) (taylor inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ a d))) (taylor inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ a d))) (taylor inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 c #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 c #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 c #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 c #s(literal 2 binary64))) (patch #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 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 (+ b c)) d)) 1))) (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 (+ b c)) d)) 1))) (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 (+ b c)) d)) 1))) (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 (* 2 d) (taylor -inf d) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ a d)) 1))) (taylor -inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ a d)) 1))) (taylor -inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ a d)) 1))) (taylor -inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	((* (+ a (+ b (+ c d))) 2) (* b 2) (* (+ a (+ b (+ c d))) 2) (* c 2) (* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d) (* (+ (+ d a) (+ c b)) 2) (+ (+ d a) (+ c b)) (+ d a) (+ c b))
1.0ms	c	@	-inf	((* (+ a (+ b (+ c d))) 2) (* b 2) (* (+ a (+ b (+ c d))) 2) (* c 2) (* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d) (* (+ (+ d a) (+ c b)) 2) (+ (+ d a) (+ c b)) (+ d a) (+ c b))
1.0ms	c	@	inf	((* (+ a (+ b (+ c d))) 2) (* b 2) (* (+ a (+ b (+ c d))) 2) (* c 2) (* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d) (* (+ (+ d a) (+ c b)) 2) (+ (+ d a) (+ c b)) (+ d a) (+ c b))
1.0ms	c	@	0	((* (+ a (+ b (+ c d))) 2) (* b 2) (* (+ a (+ b (+ c d))) 2) (* c 2) (* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d) (* (+ (+ d a) (+ c b)) 2) (+ (+ d a) (+ c b)) (+ d a) (+ c b))
0.0ms	b	@	inf	((* (+ a (+ b (+ c d))) 2) (* b 2) (* (+ a (+ b (+ c d))) 2) (* c 2) (* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d) (* (+ (+ d a) (+ c b)) 2) (+ (+ d a) (+ c b)) (+ d a) (+ c b))

simplify145.0ms (3.3%)

Memory

15.9MiB live, 167.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 768×	`lower-fma.f64`
9 768×	`lower-fma.f32`
3 438×	`lower-*.f64`
3 438×	`lower-*.f32`
1 688×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	2532
1	515	2532
2	1441	2526
3	4518	2499
4	7541	2499
0	8271	2493

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 380

Calls

Call 1

Inputs
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ a (+ b d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ b d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
d
(+ c d)
(+ c d)
(+ c d)
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ a (+ b d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
b
(+ b c)
(+ b c)
(+ b c)
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ 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)))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
c
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
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)))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ a (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ c d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ a (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
c
(+ b c)
(+ b c)
(+ b c)
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
b
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
(* 2 b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* 2 b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* 2 b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
d
(+ a d)
(+ a d)
(+ a d)
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
a
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ a (+ b c))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ b c)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
c
(+ c d)
(+ c d)
(+ c d)
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ a (+ b c))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
a
(+ a d)
(+ a d)
(+ a d)
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ 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)))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
d
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
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)))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))

Outputs
(* 2 (+ a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) a) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 (+ a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) a) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 (+ a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) a) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ a (+ b d))
(+.f64 (+.f64 d b) a)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(+ b d)
(+.f64 d b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
d
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(* 2 (+ a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) a) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ a (+ b d))
(+.f64 (+.f64 d b) a)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
b
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c d) b)
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c d) b)
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c d) b)
c
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
c
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(-.f64 c (*.f64 (-.f64 (neg.f64 b) d) #s(literal 1 binary64)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(-.f64 c (*.f64 (-.f64 (neg.f64 b) d) #s(literal 1 binary64)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(-.f64 c (*.f64 (-.f64 (neg.f64 b) d) #s(literal 1 binary64)))
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)
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
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)
(* 2 (+ a (+ c d)))
(*.f64 (+.f64 (+.f64 c d) a) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* 2 (+ a (+ c d)))
(*.f64 (+.f64 (+.f64 c d) a) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 (+ a (+ c d)))
(*.f64 (+.f64 (+.f64 c d) a) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ a (+ c d))
(+.f64 (+.f64 c d) a)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(+ c d)
(+.f64 c d)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(* 2 (+ a (+ c d)))
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(+.f64 (+.f64 (+.f64 c d) a) b)
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
d
(* d (+ 1 (/ a d)))
(+.f64 d a)
(* d (+ 1 (/ a d)))
(+.f64 d a)
(* d (+ 1 (/ a d)))
(+.f64 d a)
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
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)
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 d a)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 d a)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 d a)

rewrite213.0ms (4.9%)

Memory

4.9MiB live, 279.4MiB allocated

Rules

4 536×	`lower-*.f32`
4 528×	`lower-*.f64`
4 072×	`lower-/.f64`
4 072×	`lower-/.f32`
3 310×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	90
0	30	90
1	125	90
2	1215	90
0	8248	90

Stop Event

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

Counts

12 → 441

Calls

Call 1

Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
(*.f64 b #s(literal 2 binary64))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
(*.f64 c #s(literal 2 binary64))
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
(+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d)))
#s(approx (+ b (+ c d)) (+.f64 c d))
(+.f64 c d)
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(+.f64 (+.f64 d a) (+.f64 c b))
(+.f64 d a)
(+.f64 c b)

Outputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
(*.f64 #s(literal 2 binary64) b)
(*.f64 b #s(literal 2 binary64))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
(*.f64 #s(literal 2 binary64) c)
(*.f64 c #s(literal 2 binary64))
(*.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))) (.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) a)) (.f64 (.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))) (.f64 #s(literal 2 binary64) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))) (.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c)))) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c)))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))) #s(literal 2 binary64))) (neg.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(approx (+ b (+ c d)) (+.f64 d c)) (.f64 (.f64 a a) a)) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))))) (neg.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(approx (+ b (+ c d)) (+.f64 d c)) (.f64 (.f64 a a) a)))) (neg.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a))))
(/.f64 (.f64 (.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))) #s(literal 2 binary64)) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))))
(/.f64 (.f64 (fma.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(approx (+ b (+ c d)) (+.f64 d c)) (.f64 (.f64 a a) a)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))))) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(approx (+ b (+ c d)) (+.f64 d c)) (.f64 (.f64 a a) a))) (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a)))
(fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c)) (*.f64 #s(literal 2 binary64) a))
(fma.f64 #s(literal 2 binary64) a (*.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))))
(fma.f64 a #s(literal 2 binary64) (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))
(+.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))) (.f64 #s(literal 2 binary64) a))
(+.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))))
(.f64 (.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))) (/.f64 #s(literal 1 binary64) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))))
(.f64 (fma.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(approx (+ b (+ c d)) (+.f64 d c)) (.f64 (.f64 a a) a)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a))))
(pow.f64 (/.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) (*.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (.f64 a a)) (fma.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(approx (+ b (+ c d)) (+.f64 d c)) (.f64 (.f64 a a) a))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 a a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))) (/.f64 (.f64 a a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))) (fma.f64 (/.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))) (/.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))) (.f64 (/.f64 (.f64 a a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))) (/.f64 (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) (.f64 a a))) (neg.f64 (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))))) (neg.f64 (neg.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(approx (+ b (+ c d)) (+.f64 d c)) (.f64 (.f64 a a) a)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (.f64 a a)))))
(/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))) (.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))))) (*.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) (*.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (.f64 a a)) (fma.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(approx (+ b (+ c d)) (+.f64 d c)) (.f64 (.f64 a a) a)))))
(/.f64 (-.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) (.f64 a a)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) (*.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (.f64 a a)) (fma.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(approx (+ b (+ c d)) (+.f64 d c)) (.f64 (.f64 a a) a))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))))) (neg.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(approx (+ b (+ c d)) (+.f64 d c)) (.f64 (.f64 a a) a))) (neg.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 (.f64 a a) (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(approx (+ b (+ c d)) (+.f64 d c)) (.f64 (.f64 a a) a))) (neg.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (.f64 a a))))
(/.f64 (*.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))))
(/.f64 (fma.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(approx (+ b (+ c d)) (+.f64 d c)) (.f64 (.f64 a a) a)) (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 (.f64 a a) (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a))))
(/.f64 (fma.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(approx (+ b (+ c d)) (+.f64 d c)) (.f64 (.f64 a a) a)) (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (.f64 a a)))
(-.f64 (/.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a)) (/.f64 (.f64 a a) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a)))
(-.f64 (/.f64 (.f64 a a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))) (/.f64 (.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(approx (+ b (+ c d)) (+.f64 d c))) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))))
(+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a)
(+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))
#s(approx (+ b (+ c d)) (+.f64 d c))
(.f64 (.f64 (+.f64 d c) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (-.f64 c d)))
(.f64 (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c)) (/.f64 #s(literal 1 binary64) (fma.f64 d (-.f64 d c) (*.f64 c c))))
(pow.f64 (/.f64 (-.f64 c d) (*.f64 (+.f64 d c) (-.f64 c d))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 d (-.f64 d c) (.f64 c c)) (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 c c) (-.f64 c d)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 d d) (-.f64 c d)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 c c) (-.f64 c d)) (/.f64 (.f64 c c) (-.f64 c d)) (fma.f64 (/.f64 (.f64 d d) (-.f64 c d)) (/.f64 (.f64 d d) (-.f64 c d)) (.f64 (/.f64 (.f64 c c) (-.f64 c d)) (/.f64 (*.f64 d d) (-.f64 c d))))))
(/.f64 (neg.f64 (-.f64 (.f64 d d) (.f64 c c))) (neg.f64 (-.f64 d c)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 d c) (-.f64 c d)))) (neg.f64 (neg.f64 (-.f64 c d))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c)))) (neg.f64 (neg.f64 (fma.f64 d (-.f64 d c) (.f64 c c)))))
(/.f64 (-.f64 (.f64 (.f64 c c) (-.f64 c d)) (.f64 (-.f64 c d) (.f64 d d))) (*.f64 (-.f64 c d) (-.f64 c d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 c d) (*.f64 (+.f64 d c) (-.f64 c d)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 d (-.f64 d c) (.f64 c c)) (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c)))))
(/.f64 (-.f64 (.f64 d d) (.f64 c c)) (-.f64 d c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 c d) (*.f64 (+.f64 d c) (-.f64 c d))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d (-.f64 d c) (.f64 c c)) (fma.f64 (.f64 d d) d (.f64 (.f64 c c) c))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 c c) c (.f64 (.f64 b b) b)))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b c) (.f64 c c)))))
(/.f64 (-.f64 (.f64 (.f64 c c) (-.f64 c b)) (.f64 (-.f64 c b) (.f64 b b))) (*.f64 (-.f64 c b) (-.f64 c b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 c b) (*.f64 (+.f64 c b) (-.f64 c b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (-.f64 b c) (.f64 c c)) (fma.f64 (.f64 c c) c (.f64 (.f64 b b) b)))))
(/.f64 (-.f64 (.f64 b b) (.f64 c c)) (-.f64 b c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 c b) (*.f64 (+.f64 c b) (-.f64 c b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b c) (.f64 c c)) (fma.f64 (.f64 c c) c (.f64 (.f64 b b) b))))
(/.f64 (neg.f64 (*.f64 (+.f64 c b) (-.f64 c b))) (neg.f64 (-.f64 c b)))
(/.f64 (neg.f64 (fma.f64 (.f64 c c) c (.f64 (.f64 b b) b))) (neg.f64 (fma.f64 b b (-.f64 (.f64 c c) (*.f64 c b)))))
(/.f64 (neg.f64 (fma.f64 (.f64 c c) c (.f64 (.f64 b b) b))) (neg.f64 (fma.f64 b (-.f64 b c) (.f64 c c))))
(/.f64 (*.f64 (+.f64 c b) (-.f64 c b)) (-.f64 c b))
(/.f64 (fma.f64 (.f64 c c) c (.f64 (.f64 b b) b)) (fma.f64 b b (-.f64 (.f64 c c) (*.f64 c b))))
(/.f64 (fma.f64 (.f64 c c) c (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b c) (.f64 c c)))
(-.f64 (/.f64 (.f64 b b) (-.f64 b c)) (/.f64 (.f64 c c) (-.f64 b c)))
(-.f64 (/.f64 (.f64 c c) (-.f64 c b)) (/.f64 (.f64 b b) (-.f64 c b)))
(+.f64 c b)
(+.f64 b c)

eval164.0ms (3.8%)

Memory: 7.9MiB live, 207.5MiB allocated
Compiler: Compiled 19 823 to 1 846 computations (90.7% saved)

prune183.0ms (4.2%)

Memory

-19.4MiB live, 132.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	821	0	821
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	821	4	825

Accuracy

100.0%

Counts

825 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
✓	11.6%	(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
✓	11.6%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
✓	6.2%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))

Compiler

Compiled 79 to 46 computations (41.8% saved)

regimes31.0ms (0.7%)

Memory

-14.1MiB live, 30.1MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))

Outputs
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))

Calls

8 calls:

13.0ms	a
3.0ms	(+.f64 c d)
3.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
3.0ms	d
2.0ms	(+.f64 b (+.f64 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 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
100.0%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`
100.0%	1	`(+.f64 b (+.f64 c d))`
100.0%	1	`(+.f64 c d)`

Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes19.0ms (0.4%)

Memory

37.3MiB live, 37.3MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))

Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))

Calls

8 calls:

2.0ms	(+.f64 c d)
2.0ms	(+.f64 b (+.f64 c d))
2.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
2.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
2.0ms	d

Results

Accuracy	Segments	Branch
93.9%	1	`a`
93.9%	1	`b`
93.9%	1	`c`
93.9%	1	`d`
93.9%	1	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
93.9%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`
93.9%	1	`(+.f64 b (+.f64 c d))`
93.9%	1	`(+.f64 c d)`

Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes154.0ms (3.5%)

Memory

-29.8MiB live, 43.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))

#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))

(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))

Outputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))

Calls

8 calls:

136.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
5.0ms	d
2.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
2.0ms	c
2.0ms	b

Results

Accuracy	Segments	Branch
13.4%	2	`d`
11.6%	1	`c`
13.8%	2	`(+.f64 b (+.f64 c d))`
13.4%	2	`(+.f64 c d)`
11.6%	1	`a`
11.6%	1	`b`
16.2%	2	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
16.2%	2	`(+.f64 a (+.f64 b (+.f64 c d)))`

Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes4.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))

Outputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))

Calls

2 calls:

2.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
2.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

Results

Accuracy	Segments	Branch
16.2%	2	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
16.2%	2	`(+.f64 a (+.f64 b (+.f64 c d)))`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes14.0ms (0.3%)

Memory

-4.7MiB live, 33.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))

Outputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))

Calls

8 calls:

4.0ms	a
1.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
1.0ms	b
1.0ms	(+.f64 b (+.f64 c d))
1.0ms	c

Results

Accuracy	Segments	Branch
6.2%	1	`c`
6.2%	1	`a`
6.2%	1	`b`
6.2%	1	`(+.f64 c d)`
6.2%	1	`d`
6.2%	1	`(+.f64 b (+.f64 c d))`
6.2%	1	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
6.2%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`

Compiler

Compiled 60 to 43 computations (28.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0019092920940391167	0.001636835482862864

Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0019092920940391167	0.001636835482862864

Compiler

Compiled 16 to 16 computations (0% saved)

simplify5.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
10×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	103
1	40	103

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))

Outputs
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 b c) (+.f64 a d)))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 (+.f64 c d) b) a) #s(literal 2 binary64))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) (.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (+.f64 (+.f64 c d) b) a) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 #s(literal 2 binary64) b)) (.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 c d)) a) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 b #s(literal 2 binary64))) #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 c d) b) a) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (.f64 #s(literal 2 binary64) b)) #s(approx ( (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))

soundness397.0ms (9.1%)

Memory

0.8MiB live, 326.5MiB allocated

Rules

6 904×	`lower-fma.f64`
6 904×	`lower-fma.f32`
6 242×	`lower-fma.f64`
6 242×	`lower-fma.f32`
4 710×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	13	24
1	58	24
2	569	24
0	8247	24
0	137	890
1	436	890
2	1261	890
3	4089	878
0	8115	875

Stop Event

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

Compiler

Compiled 127 to 66 computations (48% saved)

preprocess142.0ms (3.3%)

Memory: -18.5MiB live, 99.9MiB allocated
Remove: (sort a b c d)
Compiler: Compiled 292 to 152 computations (47.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (43.3%)

explain117.0ms (2.7%)

preprocess240.0ms (5.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.2%)

localize20.0ms (0.5%)

series33.0ms (0.8%)

simplify140.0ms (3.2%)

rewrite181.0ms (4.2%)

eval65.0ms (1.5%)

prune104.0ms (2.4%)

simplify9.0ms (0.2%)

localize54.0ms (1.3%)

series17.0ms (0.4%)

simplify145.0ms (3.3%)

rewrite213.0ms (4.9%)

eval164.0ms (3.8%)

prune183.0ms (4.2%)

regimes31.0ms (0.7%)

regimes19.0ms (0.4%)

regimes154.0ms (3.5%)

regimes4.0ms (0.1%)

regimes14.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

soundness397.0ms (9.1%)

preprocess142.0ms (3.3%)

end0.0ms (0%)

Profiling