Metrics for Expression, p6

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample1.8s (27.2%)

Memory

-79.1MiB live, 2 040.3MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 591.0ms

ival-<=: 302.0ms (51.1% of total)

ival-add: 145.0ms (24.5% of total)

ival-mult: 65.0ms (11% of total)

ival-and: 42.0ms (7.1% of total)

exact: 33.0ms (5.6% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain243.0ms (3.6%)

Memory

-37.9MiB live, 121.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
81	23	(-13.629400111627177 -2.7117945546842708 3.1163031082714343 13.265626388795855)	44	(-13.781038371589872 -2.489950843046459 3.1920606291505575 12.600167076448443)	`(+.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	60	91

Confusion

	Predicted +	Predicted -
+	47	83
-	13	113

Precision

0.7833333333333333

Recall

0.36153846153846153

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	47	64	19
-	13	27	86

Precision?

0.7350993377483444

Recall?

0.8538461538461538

Freqs

test

number	freq
0	196
1	60

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 100 to 40 computations (60% saved)

Precisions

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

ival-add: 7.0ms (63.1% of total)

ival-mult: 3.0ms (27% of total)

ival-true: 1.0ms (9% of total)

exact: 0.0ms (0% of total)

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

preprocess221.0ms (3.3%)

Memory

27.0MiB live, 191.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	132
1	152	126
2	472	126
3	2486	126
4	6016	126
5	7582	126
0	9	9
0	13	9
1	23	9
2	62	9
3	230	9
4	1010	9
5	2105	9
6	6122	9
0	8093	9

Stop Event

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

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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))

Compiler

Compiled 9 to 9 computations (0% saved)

simplify200.0ms (3%)

Memory

7.2MiB live, 205.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	13	29
1	23	29
2	62	29
3	230	29
4	1010	29
5	2105	29
6	6122	29
0	8093	29

Stop Event

1×	iter limit
1×	node limit
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)

localize23.0ms (0.3%)

Memory

-30.4MiB live, 44.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 c d)
accuracy	0.0	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
accuracy	0.4655075195368841	(+.f64 b (+.f64 c d))
accuracy	2.7299089512744668	(+.f64 a (+.f64 b (+.f64 c d)))

Samples

15.0ms

256×

valid

Compiler

Compiled 60 to 20 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 3.0ms (55% of total)

ival-mult: 2.0ms (36.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

4 → 50

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

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	b	@	-inf	((* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d))
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	a	@	-inf	((* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d))

simplify260.0ms (3.9%)

Memory

9.7MiB live, 166.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	390
1	469	390
2	1853	390
0	8465	364

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 46

Calls

Call 1

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

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

rewrite367.0ms (5.4%)

Memory

-33.0MiB live, 198.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	13	24
1	60	24
2	607	24
0	8765	24

Stop Event

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

Counts

4 → 535

Calls

Call 1

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

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

eval205.0ms (3%)

Memory: -5.5MiB live, 116.4MiB allocated
Compiler: Compiled 18 742 to 1 955 computations (89.6% saved)

prune13.0ms (0.2%)

Memory

2.3MiB live, 39.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	561	4	565
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	562	4	566

Accuracy

100.0%

Counts

566 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 (+.f64 c b) (+.f64 d a)) #s(literal 2 binary64))
▶	11.6%	(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
▶	11.5%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
▶	6.3%	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))

Compiler

Compiled 48 to 44 computations (8.3% saved)

simplify159.0ms (2.4%)

Memory

-7.0MiB live, 149.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	103
0	30	103
1	53	103
2	120	103
3	356	103
4	1374	103
5	3185	103
6	6295	103
7	7723	103
0	8004	103

Stop Event

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

Calls

Call 1

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

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

localize60.0ms (0.9%)

Memory

28.5MiB live, 108.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (+.f64 c b) (+.f64 d a))
accuracy	0.0	(+.f64 d a)
accuracy	0.0	(+.f64 c b)
accuracy	0.0	(*.f64 (+.f64 (+.f64 c b) (+.f64 d a)) #s(literal 2 binary64))
accuracy	0.0	(+.f64 d c)
accuracy	0.0	(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
accuracy	2.7299089512744668	(+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))
accuracy	50.21593770930028	#s(approx (+ b (+ c d)) (+.f64 d c))
accuracy	0.0	(*.f64 #s(literal 2 binary64) c)
accuracy	56.647321773398744	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
accuracy	0.0	(*.f64 #s(literal 2 binary64) b)
accuracy	59.97592186883594	#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))

Samples

49.0ms

256×

valid

Compiler

Compiled 188 to 40 computations (78.7% saved)

Precisions

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

ival-mult: 9.0ms (54.3% of total)

ival-add: 7.0ms (42.2% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-22.1MiB live, 16.4MiB allocated

Counts

12 → 59

Calls

Call 1

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

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

Calls

12 calls:

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

simplify163.0ms (2.4%)

Memory

20.4MiB live, 209.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	449
1	548	449
2	2025	449
0	8379	415

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 55

Calls

Call 1

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

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

rewrite236.0ms (3.5%)

Memory

-19.4MiB live, 257.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	90
0	30	90
1	136	90
2	1413	90
0	8687	90

Stop Event

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

Counts

12 → 407

Calls

Call 1

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

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

eval94.0ms (1.4%)

Memory: 21.9MiB live, 105.6MiB allocated
Compiler: Compiled 13 776 to 1 650 computations (88% saved)

prune12.0ms (0.2%)

Memory

-4.1MiB live, 32.6MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	438	3	441
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	440	5	445

Accuracy

100.0%

Counts

445 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 (+.f64 c b) (+.f64 d a)) #s(literal 2 binary64))
✓	11.6%	(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
▶	11.6%	(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
▶	11.5%	#s(approx (* (+ a (+ b (+ c d))) 2) (+.f64 c c))
▶	6.3%	#s(approx (* (+ a (+ b (+ c d))) 2) (+.f64 b b))

Compiler

Compiled 63 to 54 computations (14.3% saved)

simplify151.0ms (2.2%)

Memory

-17.8MiB live, 151.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	74
0	22	74
1	39	74
2	84	74
3	229	74
4	995	74
5	2154	74
6	6460	74
0	8455	74

Stop Event

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

Calls

Call 1

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

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

localize29.0ms (0.4%)

Memory

6.5MiB live, 43.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (+.f64 d a) c)
accuracy	0.0	(+.f64 d a)
accuracy	0.0	(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
accuracy	56.59801193141309	#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c))
accuracy	0.0	(+.f64 c c)
accuracy	56.647321773398744	#s(approx (* (+ a (+ b (+ c d))) 2) (+.f64 c c))
accuracy	0.0	(+.f64 b b)
accuracy	59.97592186883594	#s(approx (* (+ a (+ b (+ c d))) 2) (+.f64 b b))

Samples

21.0ms

256×

valid

Compiler

Compiled 130 to 33 computations (74.6% saved)

Precisions

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

ival-add: 7.0ms (62.7% of total)

ival-mult: 3.0ms (26.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

8 → 50

Calls

Call 1

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

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

Calls

12 calls:

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

simplify238.0ms (3.5%)

Memory

18.3MiB live, 173.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	408
1	475	408
2	1846	399
0	8231	382

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 46

Calls

Call 1

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

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

rewrite92.0ms (1.4%)

Memory

-10.1MiB live, 78.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	68
0	22	68
1	106	68
0	1028	68

Stop Event

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

Counts

8 → 86

Calls

Call 1

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

Outputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 c c #s(literal 0 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) c)
(*.f64 #s(literal 2 binary64) b)
(*.f64 c #s(literal 2 binary64))
(*.f64 b #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (fma.f64 c c #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) c))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (fma.f64 c c #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 c c) #s(literal 0 binary64)) (/.f64 (.f64 c c) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 b b) #s(literal 0 binary64)) (/.f64 (.f64 b b) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c c #s(literal 0 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c c #s(literal 0 binary64))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(+.f64 c c)
(+.f64 b b)
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 c c #s(literal 0 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) c)
(*.f64 #s(literal 2 binary64) b)
(*.f64 c #s(literal 2 binary64))
(*.f64 b #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (fma.f64 c c #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) c))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (fma.f64 c c #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 c c) #s(literal 0 binary64)) (/.f64 (.f64 c c) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 b b) #s(literal 0 binary64)) (/.f64 (.f64 b b) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c c #s(literal 0 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c c #s(literal 0 binary64))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b #s(literal 0 binary64))))
(+.f64 c c)
(+.f64 b b)
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)))
(+.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)))
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c))
(.f64 (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (.f64 c c)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 d a) c)))
(*.f64 (+.f64 (pow.f64 (+.f64 d a) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 c (-.f64 c (+.f64 d a)) (pow.f64 (+.f64 d a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 d d) (.f64 (+.f64 c a) (+.f64 c a))) (-.f64 d (+.f64 c a)))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 d a) #s(literal 2 binary64))) (-.f64 c (+.f64 d a)))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64))) (fma.f64 d d (-.f64 (.f64 (+.f64 c a) (+.f64 c a)) (.f64 d (+.f64 c a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (*.f64 c c))) (neg.f64 (-.f64 (+.f64 d a) c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 d a) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (fma.f64 c (-.f64 c (+.f64 d a)) (pow.f64 (+.f64 d a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 d a) c) (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (*.f64 c c))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c (-.f64 c (+.f64 d a)) (pow.f64 (+.f64 d a) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 d a) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (*.f64 c c)) (-.f64 (+.f64 d a) c))
(/.f64 (+.f64 (pow.f64 (+.f64 d a) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (fma.f64 c c (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (*.f64 (+.f64 d a) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 d a) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (fma.f64 c (-.f64 c (+.f64 d a)) (pow.f64 (+.f64 d a) #s(literal 2 binary64))))
(fma.f64 (*.f64 (+.f64 d c) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (-.f64 c d)) a)
(fma.f64 (*.f64 (+.f64 d a) (-.f64 d a)) (/.f64 #s(literal 1 binary64) (-.f64 d a)) c)
(fma.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 d (-.f64 d c) (*.f64 c c))) a)
(fma.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a d) (*.f64 d d))) c)
(-.f64 (/.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (+.f64 d a) c)) (/.f64 (*.f64 c c) (-.f64 (+.f64 d a) c)))
(+.f64 (/.f64 (pow.f64 (+.f64 d a) #s(literal 3 binary64)) (fma.f64 c (-.f64 c (+.f64 d a)) (pow.f64 (+.f64 d a) #s(literal 2 binary64)))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (-.f64 c (+.f64 d a)) (pow.f64 (+.f64 d a) #s(literal 2 binary64)))))
(+.f64 (+.f64 c a) d)
(+.f64 (+.f64 d a) c)
(+.f64 (+.f64 d c) a)
(+.f64 d (+.f64 c a))
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 d c))
(.f64 (.f64 (+.f64 d a) (-.f64 d a)) (/.f64 #s(literal 1 binary64) (-.f64 d a)))
(.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a d) (.f64 d d))))
(/.f64 (-.f64 (.f64 a a) (.f64 d d)) (-.f64 a d))
(/.f64 (neg.f64 (*.f64 (+.f64 d a) (-.f64 d a))) (neg.f64 (-.f64 d a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a (-.f64 a d) (*.f64 d d))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 d a) (*.f64 (+.f64 d a) (-.f64 d a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 d a) (-.f64 d a)) (-.f64 d a))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 d d) (.f64 d a))))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a (-.f64 a d) (*.f64 d d)))
(-.f64 (/.f64 (.f64 d d) (-.f64 d a)) (/.f64 (.f64 a a) (-.f64 d a)))
(+.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (fma.f64 a (-.f64 a d) (.f64 d d))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (-.f64 a d) (.f64 d d))))
(+.f64 d a)
(+.f64 a d)

eval44.0ms (0.7%)

Memory: -7.9MiB live, 29.0MiB allocated
Compiler: Compiled 2 256 to 420 computations (81.4% saved)

prune4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	102	6	108

Accuracy

100.0%

Counts

108 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 (+.f64 c b) (+.f64 d a)) #s(literal 2 binary64))
✓	11.6%	(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
✓	11.6%	(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
▶	11.6%	(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
✓	11.5%	#s(approx (* (+ a (+ b (+ c d))) 2) (+.f64 c c))
✓	6.3%	#s(approx (* (+ a (+ b (+ c d))) 2) (+.f64 b b))

Compiler

Compiled 78 to 66 computations (15.4% saved)

simplify57.0ms (0.8%)

Memory

-33.6MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
0	15	40
1	29	40
2	58	40
3	86	40
4	88	40
0	88	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

18.4MiB live, 18.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 c a)
accuracy	0.0	(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
accuracy	0.9097470211997891	(+.f64 (+.f64 c a) d)
accuracy	56.59801193141309	#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d))

Samples

16.0ms

256×

valid

Compiler

Compiled 70 to 25 computations (64.3% saved)

Precisions

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

ival-add: 5.0ms (68.5% of total)

ival-mult: 2.0ms (27.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

4 → 50

Calls

Call 1

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

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

Calls

12 calls:

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

simplify354.0ms (5.3%)

Memory

16.1MiB live, 124.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	408
1	474	408
2	1842	399
0	8219	382

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 46

Calls

Call 1

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

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

rewrite334.0ms (5%)

Memory

8.6MiB live, 203.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
0	15	36
1	84	36
2	851	36
0	8743	36

Stop Event

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

Counts

4 → 135

Calls

Call 1

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

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

eval33.0ms (0.5%)

Memory: -35.8MiB live, 54.7MiB allocated
Compiler: Compiled 5 368 to 821 computations (84.7% saved)

prune6.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	173	7	180

Accuracy

100.0%

Counts

180 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 (+.f64 c b) (+.f64 d a)) #s(literal 2 binary64))
✓	11.6%	(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
✓	11.6%	(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
✓	11.6%	(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
	8.6%	(*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64))
✓	11.5%	#s(approx (* (+ a (+ b (+ c d))) 2) (+.f64 c c))
✓	6.3%	#s(approx (* (+ a (+ b (+ c d))) 2) (+.f64 b b))

Compiler

Compiled 229 to 122 computations (46.7% saved)

regimes41.0ms (0.6%)

Memory

-16.2MiB live, 61.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

8 calls:

13.0ms	a
5.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
4.0ms	(+.f64 b (+.f64 c d))
4.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
4.0ms	(+.f64 c d)

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`c`
100.0%	1	`d`
100.0%	1	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
100.0%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`
100.0%	1	`(+.f64 b (+.f64 c d))`
100.0%	1	`(+.f64 c d)`

Compiler

Compiled 28 to 43 computations (-53.6% saved)

regimes53.0ms (0.8%)

Memory

7.1MiB live, 46.4MiB allocated

Counts

9 → 1

Calls

Call 1

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

29.0ms	a
3.0ms	c
3.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
3.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
3.0ms	(+.f64 c d)

Results

Accuracy	Segments	Branch
94.1%	1	`a`
94.1%	1	`b`
94.1%	1	`c`
94.1%	1	`d`
94.1%	1	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
94.1%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`
94.1%	1	`(+.f64 b (+.f64 c d))`
94.1%	1	`(+.f64 c d)`

Compiler

Compiled 28 to 43 computations (-53.6% saved)

regimes53.0ms (0.8%)

Memory

10.0MiB live, 53.8MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

8 calls:

31.0ms	(+.f64 b (+.f64 c d))
3.0ms	d
3.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
3.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
3.0ms	b

Results

Accuracy	Segments	Branch
11.6%	1	`(+.f64 c d)`
11.6%	1	`d`
13.5%	2	`b`
14.6%	2	`(+.f64 b (+.f64 c d))`
11.6%	1	`a`
11.6%	1	`c`
16.9%	2	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
16.9%	2	`(+.f64 a (+.f64 b (+.f64 c d)))`

Compiler

Compiled 28 to 43 computations (-53.6% saved)

regimes5.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

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
16.8%	2	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
16.8%	2	`(+.f64 a (+.f64 b (+.f64 c d)))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes31.0ms (0.5%)

Memory

-27.9MiB live, 10.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
2.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

Results

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

Compiler

Compiled 16 to 16 computations (0% saved)

regimes10.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB 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 b))

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
6.3%	1	`d`
6.3%	1	`(+.f64 c d)`
6.3%	1	`a`
6.3%	1	`c`
6.3%	1	`b`
6.3%	1	`(+.f64 b (+.f64 c d))`
6.3%	1	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))`
6.3%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`

Compiler

Compiled 28 to 43 computations (-53.6% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.012637113166144687	0.0020479329437002036

Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.012637113166144687	0.0020479329437002036

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	-0.012637113166144687	0.0020479329437002036

Compiler

Compiled 12 to 16 computations (-33.3% saved)

simplify52.0ms (0.8%)

Memory

-6.9MiB live, 65.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	153
1	49	153
2	91	153
3	244	153
4	1033	153
5	1966	153
6	6428	153

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (+.f64 (+.f64 c b) (+.f64 d a)) #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 -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64)) (.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64)) #s(approx ( (+ a (+ b (+ c d))) 2) (+.f64 c c)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (+.f64 b b)) #s(approx (* (+ a (+ b (+ c d))) 2) (+.f64 c c)))
#s(approx (* (+ a (+ b (+ c d))) 2) (+.f64 b b))

Outputs
(*.f64 (+.f64 (+.f64 c b) (+.f64 d a)) #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 -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64)) (.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64)) #s(approx ( (+ a (+ b (+ c d))) 2) (+.f64 c c)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (+.f64 b b)) #s(approx (* (+ a (+ b (+ c d))) 2) (+.f64 c c)))
#s(approx (* (+ a (+ b (+ c d))) 2) (+.f64 b b))

soundness931.0ms (13.8%)

Memory

-22.4MiB live, 689.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	408
1	474	408
2	1842	399
0	8219	382
0	137	390
1	469	390
2	1853	390
0	8465	364
0	17	68
0	22	68
1	106	68
0	1028	68
0	162	449
1	548	449
2	2025	449
0	8379	415
0	21	90
0	30	90
1	136	90
2	1413	90
0	8687	90
0	9	24
0	13	24
1	60	24
2	607	24
0	8765	24

Stop Event

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

Compiler

Compiled 322 to 213 computations (33.9% saved)

preprocess79.0ms (1.2%)

Memory: -10.5MiB live, 66.5MiB allocated
Remove: (sort a b c d)
Compiler: Compiled 382 to 146 computations (61.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (27.2%)

explain243.0ms (3.6%)

preprocess221.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify200.0ms (3%)

localize23.0ms (0.3%)

series6.0ms (0.1%)

simplify260.0ms (3.9%)

rewrite367.0ms (5.4%)

eval205.0ms (3%)

prune13.0ms (0.2%)

simplify159.0ms (2.4%)

localize60.0ms (0.9%)

series8.0ms (0.1%)

simplify163.0ms (2.4%)

rewrite236.0ms (3.5%)

eval94.0ms (1.4%)

prune12.0ms (0.2%)

simplify151.0ms (2.2%)

localize29.0ms (0.4%)

series5.0ms (0.1%)

simplify238.0ms (3.5%)

rewrite92.0ms (1.4%)

eval44.0ms (0.7%)

prune4.0ms (0.1%)

simplify57.0ms (0.8%)

localize22.0ms (0.3%)

series4.0ms (0.1%)

simplify354.0ms (5.3%)

rewrite334.0ms (5%)

eval33.0ms (0.5%)

prune6.0ms (0.1%)

regimes41.0ms (0.6%)

regimes53.0ms (0.8%)

regimes53.0ms (0.8%)

regimes5.0ms (0.1%)

regimes31.0ms (0.5%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify52.0ms (0.8%)

soundness931.0ms (13.8%)

preprocess79.0ms (1.2%)

end0.0ms (0%)

Profiling