Metrics for Expression, p6

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 (48.2%)

Memory

17.1MiB live, 1 987.3MiB allocated

Samples

978.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 597.0ms

ival-<=: 281.0ms (47% of total)

ival-add: 189.0ms (31.6% of total)

ival-mult: 57.0ms (9.5% of total)

ival-and: 38.0ms (6.4% of total)

exact: 30.0ms (5% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain153.0ms (3.8%)

Memory

-5.5MiB live, 156.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
81	15	(-13.218796431248824 -2.9196246127081844 3.268176111035367 12.973205056497903)	40	(-13.476473580245607 -2.995214120181455 3.3775877169415094 13.257931109348565)	`(+.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	56	82

Confusion

	Predicted +	Predicted -
+	44	76
-	12	124

Precision

0.7857142857142857

Recall

0.36666666666666664

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	44	54	22
-	12	28	96

Precision?

0.7101449275362319

Recall?

0.8166666666666667

Freqs

test

number	freq
0	200
1	56

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 71 to 31 computations (56.3% saved)

Precisions

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

ival-add: 6.0ms (58.7% of total)

ival-mult: 3.0ms (29.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess247.0ms (6.1%)

Memory

16.5MiB live, 55.7MiB 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 9 to 9 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.3%	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))

Compiler

Compiled 9 to 9 computations (0% saved)

simplify7.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB 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)

localize37.0ms (0.9%)

Memory

-7.2MiB live, 32.1MiB 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	0.47494125976844204	(+.f64 b (+.f64 c d))
accuracy	2.729023165172204	(+.f64 a (+.f64 b (+.f64 c d)))

Samples

32.0ms

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 (63.4% of total)

ival-mult: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB 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
1.0ms	d	@	inf	((* (+ 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))
1.0ms	c	@	-inf	((* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d))
0.0ms	d	@	-inf	((* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d))

simplify210.0ms (5.2%)

Memory

-13.7MiB live, 183.0MiB 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)

rewrite143.0ms (3.6%)

Memory

-43.5MiB live, 259.7MiB 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
#<batchref>
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eval67.0ms (1.7%)

Memory: 6.0MiB live, 123.7MiB allocated
Compiler: Compiled 11 088 to 1 483 computations (86.6% saved)

prune24.0ms (0.6%)

Memory

9.9MiB live, 47.8MiB 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))
▶	12.0%	(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
▶	11.9%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
▶	5.9%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))

Compiler

Compiled 25 to 32 computations (-28% saved)

simplify7.0ms (0.2%)

Memory

9.8MiB live, 9.8MiB 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)

localize38.0ms (0.9%)

Memory

10.6MiB live, 54.1MiB 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	2.729023165172204	(+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d)))
accuracy	50.21218281609766	#s(approx (+ b (+ c d)) (+.f64 c d))
accuracy	0	(*.f64 c #s(literal 2 binary64))
accuracy	56.363392861368744	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
accuracy	0	(*.f64 b #s(literal 2 binary64))
accuracy	60.22111707465731	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))

Samples

24.0ms

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 (50% of total)

ival-mult: 5.0ms (41.7% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.5%)

Memory

-8.3MiB live, 29.2MiB 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>) () ())) ())
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#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>) () ())) ())
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#s(alt (+ a (+ b c)) (taylor 0 d) (#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 d) (#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 d) (#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 d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (+ a d) (taylor 0 d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (+ a d) (taylor 0 d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (+ a d) (taylor 0 d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* 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 (* d (+ 2 (* 2 (/ (+ a (+ b c)) 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 (* d (+ 2 (* 2 (/ (+ a (+ b c)) 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 (* d (+ 2 (* 2 (/ (+ a (+ b c)) 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 (* 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 (* d (+ 2 (* 2 (/ (+ a (+ b c)) 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 (* d (+ 2 (* 2 (/ (+ a (+ b c)) 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 (* d (+ 2 (* 2 (/ (+ a (+ b c)) 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 (* 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 (* 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 (+ 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
3.0ms	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	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	@	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))
1.0ms	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))

simplify135.0ms (3.4%)

Memory

2.9MiB live, 155.3MiB 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)))
(fma.f64 (/.f64 (+.f64 d b) c) c c)
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(* 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 d) a) b) #s(literal 2 binary64))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ a (+ b c))
(+.f64 (+.f64 c 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)
a
(+ a d)
(+.f64 d a)
(+ a d)
(+.f64 d a)
(+ a d)
(+.f64 d a)
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.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 (+ (/ 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))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.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)

rewrite176.0ms (4.4%)

Memory

8.7MiB live, 233.7MiB 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
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eval107.0ms (2.7%)

Memory: -1.1MiB live, 195.0MiB allocated
Compiler: Compiled 18 270 to 1 941 computations (89.4% saved)

prune31.0ms (0.8%)

Memory

-3.1MiB live, 73.5MiB 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))
✓	12.0%	(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
✓	11.9%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
✓	5.9%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))

Compiler

Compiled 59 to 52 computations (11.9% saved)

regimes22.0ms (0.6%)

Memory

2.4MiB live, 40.3MiB 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:

4.0ms	a
3.0ms	(+.f64 b (+.f64 c d))
3.0ms	(+.f64 c d)
3.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
3.0ms	c

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`c`
100.0%	1	`d`
100.0%	1	`(*.f64 (+.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 28 to 43 computations (-53.6% saved)

regimes21.0ms (0.5%)

Memory

-5.4MiB live, 37.2MiB 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:

5.0ms	a
2.0ms	(+.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	c

Results

Accuracy	Segments	Branch
94.3%	1	`a`
94.3%	1	`b`
94.3%	1	`c`
94.3%	1	`d`
94.3%	1	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
94.3%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`
94.3%	1	`(+.f64 b (+.f64 c d))`
94.3%	1	`(+.f64 c d)`

Compiler

Compiled 28 to 43 computations (-53.6% saved)

regimes16.0ms (0.4%)

Memory

33.7MiB live, 33.7MiB 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:

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

Results

Accuracy	Segments	Branch
12.0%	1	`d`
12.0%	1	`a`
12.0%	1	`b`
12.0%	1	`(+.f64 c d)`
12.0%	1	`c`
16.3%	2	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
16.3%	2	`(+.f64 a (+.f64 b (+.f64 c d)))`
13.7%	2	`(+.f64 b (+.f64 c d))`

Compiler

Compiled 28 to 43 computations (-53.6% saved)

regimes5.0ms (0.1%)

Memory

-30.4MiB live, 7.7MiB 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:

3.0ms	(*.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
16.3%	2	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
16.3%	2	`(+.f64 a (+.f64 b (+.f64 c d)))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes11.0ms (0.3%)

Memory

25.6MiB live, 25.6MiB 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:

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

Results

Accuracy	Segments	Branch
5.9%	1	`b`
5.9%	1	`c`
5.9%	1	`d`
5.9%	1	`(+.f64 c d)`
5.9%	1	`a`
5.9%	1	`(+.f64 b (+.f64 c d))`
5.9%	1	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
5.9%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`

Compiler

Compiled 28 to 43 computations (-53.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.009795136103209146	0.003419208264778817

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.009795136103209146	0.003419208264778817

Compiler

Compiled 12 to 16 computations (-33.3% saved)

simplify23.0ms (0.6%)

Memory

6.6MiB live, 44.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative-binary64-+.f64`
10×	`-commutative-binary64-.f64`

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 -5764607523034235/1152921504606846976 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 -5764607523034235/1152921504606846976 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 -5764607523034235/1152921504606846976 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 -5764607523034235/1152921504606846976 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 -5764607523034235/1152921504606846976 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 -5764607523034235/1152921504606846976 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))

soundness446.0ms (11.1%)

Memory

4.2MiB live, 311.2MiB 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 99 to 69 computations (30.3% saved)

preprocess135.0ms (3.3%)

Memory: -2.2MiB live, 82.8MiB allocated
Remove: (sort a b c d)
Compiler: Compiled 236 to 158 computations (33.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (48.2%)

explain153.0ms (3.8%)

preprocess247.0ms (6.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.2%)

localize37.0ms (0.9%)

series9.0ms (0.2%)

simplify210.0ms (5.2%)

rewrite143.0ms (3.6%)

eval67.0ms (1.7%)

prune24.0ms (0.6%)

simplify7.0ms (0.2%)

localize38.0ms (0.9%)

series19.0ms (0.5%)

simplify135.0ms (3.4%)

rewrite176.0ms (4.4%)

eval107.0ms (2.7%)

prune31.0ms (0.8%)

regimes22.0ms (0.6%)

regimes21.0ms (0.5%)

regimes16.0ms (0.4%)

regimes5.0ms (0.1%)

regimes11.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify23.0ms (0.6%)

soundness446.0ms (11.1%)

preprocess135.0ms (3.3%)

end0.0ms (0%)

Profiling