Metrics for Expression, p14

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

analyze344.0ms (6.3%)

Memory

33.6MiB live, 592.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 39 to 28 computations (28.2% saved)

sample2.2s (40.8%)

Memory

46.7MiB live, 2 455.0MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-add: 475.0ms (42.5% of total)

ival-<=: 251.0ms (22.5% of total)

const: 247.0ms (22.1% of total)

ival-mult: 80.0ms (7.2% of total)

ival-and: 44.0ms (3.9% of total)

exact: 16.0ms (1.4% of total)

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

Bogosity

explain79.0ms (1.5%)

Memory

-20.6MiB live, 95.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 a (+.f64 (+.f64 b c) d))`
-	-	`(+.f64 b c)`
-	-	`c`
-	-	`a`
-	-	`d`
-	-	`(+.f64 (+.f64 b c) d)`
-	-	`b`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

38.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

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

ival-add: 5.0ms (55.7% of total)

ival-mult: 3.0ms (33.4% of total)

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

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

preprocess324.0ms (6%)

Memory

-16.5MiB live, 121.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	116
1	149	108
2	487	105
3	1023	102
4	1713	99
5	2937	99
6	4821	99
7	5670	99
8	5861	99
9	6061	99
10	6349	99
11	6507	99
12	7763	99
13	7880	99
14	7908	99
15	7920	99
16	7920	99
17	7920	99
0	7	7
0	10	7
1	21	7
2	49	7
3	127	7
4	235	7
5	410	7
6	560	7
7	885	7
8	1273	7
9	1518	7
10	1633	7
11	1693	7
0	1693	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs a)

(sort b c d)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 7 computations (0% saved)

simplify30.0ms (0.6%)

Memory

10.1MiB live, 56.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 b c)
cost-diff	0	(+.f64 (+.f64 b c) d)
cost-diff	0	(*.f64 a (+.f64 (+.f64 b c) d))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	21	19
2	49	19
3	127	19
4	235	19
5	410	19
6	560	19
7	885	19
8	1273	19
9	1518	19
10	1633	19
11	1693	19
0	1693	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (1.1%)

Memory

-22.3MiB live, 24.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (+.f64 b c) d)
accuracy	0.0	(+.f64 b c)
accuracy	0.04296875	(*.f64 a (+.f64 (+.f64 b c) d))

Samples

56.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 46.0ms (95.2% of total)

ival-add: 2.0ms (4.1% of total)

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

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

series6.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

3 → 33

Calls

Call 1

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

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

Calls

12 calls:

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

simplify117.0ms (2.2%)

Memory

8.6MiB live, 121.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	183
1	289	183
2	945	183
3	3637	183
0	8223	183

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 30

Calls

Call 1

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

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

rewrite279.0ms (5.1%)

Memory

-18.2MiB live, 259.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	46	15
2	385	15
3	5552	15
0	8493	15

Stop Event

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

Counts

3 → 227

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 3 binary64))) a) (-.f64 (pow.f64 (+.f64 c b) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 d (+.f64 c b)) d) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 c b) #s(literal 2 binary64)) (.f64 (-.f64 d (+.f64 c b)) d)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 3 binary64))) a) (+.f64 (pow.f64 (.f64 (-.f64 d (+.f64 c b)) d) #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 d (+.f64 c b)) d) (-.f64 (*.f64 (-.f64 d (+.f64 c b)) d) (pow.f64 (+.f64 c b) #s(literal 2 binary64))) (pow.f64 (+.f64 c b) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64))) a) (-.f64 (pow.f64 (+.f64 c b) #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (fma.f64 d (+.f64 d (+.f64 c b)) (pow.f64 (+.f64 c b) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64))) a) (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64)))) (+.f64 d (+.f64 c b)))
(*.f64 (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64))) (/.f64 a (-.f64 (+.f64 c b) d)))
(*.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 3 binary64))) (/.f64 a (fma.f64 (-.f64 d (+.f64 c b)) d (pow.f64 (+.f64 c b) #s(literal 2 binary64)))))
(*.f64 (+.f64 d (+.f64 c b)) a)
(*.f64 a (-.f64 (+.f64 c b) (neg.f64 d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(/.f64 (.f64 (-.f64 (.f64 d d) (pow.f64 (+.f64 c b) #s(literal 2 binary64))) a) (-.f64 d (+.f64 c b)))
(/.f64 (.f64 (-.f64 (.f64 b b) (pow.f64 (+.f64 d c) #s(literal 2 binary64))) a) (-.f64 (-.f64 b c) d))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 d c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (fma.f64 (+.f64 d c) (-.f64 (+.f64 d c) b) (.f64 b b)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64)))) a) (neg.f64 (-.f64 (+.f64 c b) d)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 3 binary64)))) a) (neg.f64 (fma.f64 (-.f64 d (+.f64 c b)) d (pow.f64 (+.f64 c b) #s(literal 2 binary64)))))
(/.f64 (.f64 a (-.f64 (.f64 d d) (pow.f64 (+.f64 c b) #s(literal 2 binary64)))) (-.f64 d (+.f64 c b)))
(/.f64 (.f64 a (-.f64 (.f64 b b) (pow.f64 (+.f64 d c) #s(literal 2 binary64)))) (-.f64 (-.f64 b c) d))
(/.f64 (.f64 a (+.f64 (pow.f64 (+.f64 d c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (+.f64 d c) (-.f64 (+.f64 d c) b) (.f64 b b)))
(/.f64 (*.f64 a (neg.f64 (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64))))) (neg.f64 (-.f64 (+.f64 c b) d)))
(/.f64 (*.f64 a (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 d (+.f64 c b)) d (pow.f64 (+.f64 c b) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 b a) (.f64 b a)) (.f64 (.f64 (+.f64 d c) a) (.f64 (+.f64 d c) a))) (-.f64 (.f64 b a) (.f64 (+.f64 d c) a)))
(/.f64 (-.f64 (pow.f64 (.f64 d a) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 c b) a) #s(literal 2 binary64))) (-.f64 (.f64 d a) (.f64 (+.f64 c b) a)))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 c b) a) #s(literal 3 binary64)) (pow.f64 (.f64 d a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 c b) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 d a) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 c b) a) (*.f64 (neg.f64 a) d)))))
(/.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 d c) a) #s(literal 3 binary64))) (fma.f64 (.f64 b a) (.f64 b a) (-.f64 (.f64 (.f64 (+.f64 d c) a) (.f64 (+.f64 d c) a)) (.f64 (.f64 b a) (.f64 (+.f64 d c) a)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 3 binary64))) a)) (neg.f64 (fma.f64 (-.f64 d (+.f64 c b)) d (pow.f64 (+.f64 c b) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64))) a)) (neg.f64 (-.f64 (+.f64 c b) d)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 c b) a) #s(literal 2 binary64)) (pow.f64 (.f64 d a) #s(literal 2 binary64)))) (neg.f64 (*.f64 a (-.f64 (+.f64 c b) d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 d a) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 c b) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 d a) (-.f64 (.f64 d a) (.f64 (+.f64 c b) a)) (pow.f64 (.f64 (+.f64 c b) a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 3 binary64))) a) (fma.f64 (-.f64 d (+.f64 c b)) d (pow.f64 (+.f64 c b) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64))) a) (-.f64 (+.f64 c b) d))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 c b) a) #s(literal 2 binary64)) (pow.f64 (.f64 d a) #s(literal 2 binary64))) (*.f64 a (-.f64 (+.f64 c b) d)))
(/.f64 (+.f64 (pow.f64 (.f64 d a) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 c b) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 d a) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 c b) a) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (+.f64 c b) a) d) a))))
(/.f64 (+.f64 (pow.f64 (.f64 d a) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 c b) a) #s(literal 3 binary64))) (fma.f64 (.f64 d a) (-.f64 (.f64 d a) (.f64 (+.f64 c b) a)) (pow.f64 (.f64 (+.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 c b) c) #s(literal 2 binary64)))) (-.f64 (.f64 b b) (.f64 (-.f64 c b) c)) (*.f64 (neg.f64 (neg.f64 d)) a))
(fma.f64 (/.f64 (.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 c b) c) #s(literal 2 binary64)))) (-.f64 (.f64 b b) (.f64 (-.f64 c b) c)) (*.f64 (neg.f64 (neg.f64 a)) d))
(fma.f64 (/.f64 (.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 c b) c) #s(literal 2 binary64)))) (-.f64 (.f64 b b) (.f64 (-.f64 c b) c)) (*.f64 d a))
(fma.f64 (/.f64 (.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (+.f64 (pow.f64 (.f64 (-.f64 c b) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 c b) c) (-.f64 (.f64 (-.f64 c b) c) (.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (.f64 (neg.f64 (neg.f64 d)) a))
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(-.f64 (.f64 b (/.f64 b (-.f64 b c))) (.f64 c (/.f64 c (-.f64 b c))))
(+.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 (-.f64 c b) c (.f64 b b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 c b) c (.f64 b b))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 c b) c (.f64 b b))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 (-.f64 c b) c (.f64 b b))))
(+.f64 (.f64 b (/.f64 b (-.f64 b c))) (/.f64 (.f64 (neg.f64 c) c) (-.f64 b c)))
(+.f64 c b)
(+.f64 b c)

eval53.0ms (1%)

Memory: -13.9MiB live, 87.7MiB allocated
Compiler: Compiled 6 265 to 816 computations (87% saved)

prune5.0ms (0.1%)

Memory

24.1MiB live, 24.1MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	240	3	243
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	240	4	244

Accuracy

100.0%

Counts

244 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 d a (*.f64 (+.f64 c b) a))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
▶	99.4%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
▶	94.7%	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Compiler

Compiled 37 to 32 computations (13.5% saved)

simplify62.0ms (1.1%)

Memory

-9.9MiB live, 35.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 c b)
cost-diff	0	(*.f64 (+.f64 c b) a)
cost-diff	1	(fma.f64 d a (*.f64 (+.f64 c b) a))
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 d a)
cost-diff	0	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	62
0	21	61
1	41	61
2	78	61
3	192	61
4	358	61
5	496	61
6	701	61
7	1068	61
8	1448	61
9	1647	61
10	1752	61
11	1772	61
0	1772	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (1%)

Memory

-1.8MiB live, 42.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 d a (*.f64 (+.f64 c b) a))
accuracy	0.0	(+.f64 c b)
accuracy	0.0234375	(*.f64 (+.f64 c b) a)
accuracy	0.0	(+.f64 d c)
accuracy	0.04296875	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
accuracy	0.32132174242438094	#s(approx (+ (+ b c) d) (+.f64 d c))
accuracy	0.0	(*.f64 d a)
accuracy	3.3931923796426333	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Samples

20.0ms

256×

valid

Compiler

Compiled 53 to 14 computations (73.6% saved)

Precisions

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

ival-add: 6.0ms (59% of total)

ival-mult: 4.0ms (39.3% of total)

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

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

series11.0ms (0.2%)

Memory

32.2MiB live, 32.2MiB allocated

Counts

8 → 50

Calls

Call 1

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

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

Calls

12 calls:

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

simplify193.0ms (3.6%)

Memory

-27.4MiB live, 156.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	368
1	495	368
2	1510	368
3	5401	368
0	8240	347

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 47

Calls

Call 1

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

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

rewrite397.0ms (7.3%)

Memory

0.0MiB live, 158.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	53
0	21	52
1	93	52
2	761	52
0	8713	52

Stop Event

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

Counts

8 → 256

Calls

Call 1

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

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

eval43.0ms (0.8%)

Memory: 15.7MiB live, 59.1MiB allocated
Compiler: Compiled 7 024 to 987 computations (85.9% saved)

prune5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	289	1	290
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	289	5	294

Accuracy

100.0%

Counts

294 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 d a (*.f64 (+.f64 c b) a))
▶	99.5%	(fma.f64 d a #s(approx (* (+ c b) a) (*.f64 c a)))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.4%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
✓	94.7%	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Compiler

Compiled 49 to 41 computations (16.3% saved)

simplify7.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	12	27
1	17	27
2	29	27
3	50	27
4	82	27
5	120	27
6	140	27
7	178	27
8	196	27
9	206	27
10	216	27
0	216	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize158.0ms (2.9%)

Memory

-8.3MiB live, 35.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 d a #s(approx (* (+ c b) a) (*.f64 c a)))
accuracy	0.0	(*.f64 c a)
accuracy	4.658214349902787	#s(approx (* (+ c b) a) (*.f64 c a))

Samples

153.0ms

256×

valid

Compiler

Compiled 22 to 11 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 143.0ms (98.3% of total)

ival-add: 2.0ms (1.4% of total)

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

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

series6.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

3 → 21

Calls

Call 1

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

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

Calls

12 calls:

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

simplify176.0ms (3.2%)

Memory

-1.5MiB live, 102.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	119
1	264	119
2	1007	119
3	3974	119
0	8564	119

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

Calls

Call 1

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

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

rewrite207.0ms (3.8%)

Memory

-31.9MiB live, 343.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	12	24
1	42	24
2	289	24
3	2977	24
0	8530	24

Stop Event

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

Counts

3 → 131

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 a d) #s(literal 2 binary64)) (pow.f64 #s(approx (* (+ c b) a) (.f64 c a)) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx ( (+ c b) a) (.f64 c a)) #s(literal 3 binary64)) (pow.f64 (.f64 a d) #s(literal 3 binary64)))) (fma.f64 #s(approx (* (+ c b) a) (.f64 c a)) (fma.f64 a d #s(approx ( (+ c b) a) (.f64 c a))) (pow.f64 (.f64 a d) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 a d) #s(literal 2 binary64)) (pow.f64 #s(approx (* (+ c b) a) (.f64 c a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 a d) #s(literal 2 binary64)) (pow.f64 #s(approx (* (+ c b) a) (.f64 c a)) #s(literal 2 binary64)))) (fma.f64 a d #s(approx ( (+ c b) a) (*.f64 c a))))
(.f64 (/.f64 (-.f64 (pow.f64 #s(approx ( (+ c b) a) (.f64 c a)) #s(literal 3 binary64)) (pow.f64 (.f64 a d) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 a d) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 #s(approx (* (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 a d) #s(literal 2 binary64)) (.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (*.f64 c a)))))
(.f64 (/.f64 (-.f64 (pow.f64 #s(approx ( (+ c b) a) (.f64 c a)) #s(literal 3 binary64)) (pow.f64 (.f64 a d) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a))) #s(literal 3 binary64)) (pow.f64 (.f64 a d) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a))) (-.f64 (.f64 (-.f64 #s(approx (* (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a))) (pow.f64 (.f64 a d) #s(literal 2 binary64))) (pow.f64 (*.f64 a d) #s(literal 4 binary64))))
(.f64 (fma.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64))) (/.f64 (fma.f64 a d #s(approx (* (+ c b) a) (.f64 c a))) (fma.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64)))))
(.f64 (fma.f64 a d #s(approx ( (+ c b) a) (.f64 c a))) (/.f64 (-.f64 (.f64 a d) #s(approx (* (+ c b) a) (.f64 c a))) (-.f64 (.f64 a d) #s(approx (* (+ c b) a) (*.f64 c a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 a d) #s(literal 2 binary64)) (-.f64 (.f64 a d) #s(approx (* (+ c b) a) (.f64 c a)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx ( (+ c b) a) (.f64 c a)) #s(literal 2 binary64)) (-.f64 (.f64 a d) #s(approx (* (+ c b) a) (.f64 c a)))) #s(literal 2 binary64)))) (fma.f64 a d #s(approx ( (+ c b) a) (*.f64 c a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 a d) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (* (+ c b) a) (.f64 c a)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 a d #s(approx (* (+ c b) a) (*.f64 c a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 a d) #s(literal 2 binary64)) (-.f64 (.f64 a d) #s(approx (* (+ c b) a) (.f64 c a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx ( (+ c b) a) (.f64 c a)) #s(literal 2 binary64)) (-.f64 (.f64 a d) #s(approx (* (+ c b) a) (.f64 c a)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 a d) #s(literal 2 binary64)) (-.f64 (.f64 a d) #s(approx ( (+ c b) a) (.f64 c a)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 #s(approx ( (+ c b) a) (.f64 c a)) #s(literal 2 binary64)) (-.f64 (.f64 a d) #s(approx (* (+ c b) a) (.f64 c a)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 a d) #s(literal 2 binary64)) (-.f64 (.f64 a d) #s(approx (* (+ c b) a) (.f64 c a)))) (/.f64 (pow.f64 #s(approx ( (+ c b) a) (.f64 c a)) #s(literal 2 binary64)) (-.f64 (.f64 a d) #s(approx (* (+ c b) a) (*.f64 c a)))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 a d) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (* (+ c b) a) (.f64 c a)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 a d) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (* (+ c b) a) (.f64 c a)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 a d) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (* (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (+ c b) a) (.f64 c a)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (+ c b) a) (.f64 c a)) #s(literal 2 binary64)) (pow.f64 (.f64 a d) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(approx (* (+ c b) a) (.f64 c a)) (.f64 a d)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 a d) #s(literal 2 binary64)) (-.f64 (.f64 a d) #s(approx ( (+ c b) a) (.f64 c a)))) (.f64 (-.f64 (.f64 a d) #s(approx ( (+ c b) a) (.f64 c a))) (pow.f64 #s(approx ( (+ c b) a) (.f64 c a)) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (-.f64 (.f64 a d) #s(approx (* (+ c b) a) (*.f64 c a))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 a d) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64))) (.f64 (fma.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64))) (pow.f64 #s(approx (* (+ c b) a) (.f64 c a)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 a d) #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 #s(approx (* (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64))))) (.f64 (neg.f64 (fma.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64)))) (pow.f64 #s(approx (* (+ c b) a) (.f64 c a)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(approx ( (+ c b) a) (.f64 c a)) (.f64 a d)) #s(approx (* (+ c b) a) (.f64 c a)) (pow.f64 (.f64 a d) #s(literal 2 binary64))) #s(literal 2 binary64)))
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(+.f64 #s(approx (* (+ c b) a) (.f64 c a)) (.f64 (neg.f64 (neg.f64 d)) a))
(+.f64 #s(approx (* (+ c b) a) (.f64 c a)) (.f64 a d))
(.f64 (sqrt.f64 (neg.f64 (neg.f64 #s(approx ( (+ c b) a) (.f64 c a))))) (sqrt.f64 (neg.f64 (neg.f64 #s(approx ( (+ c b) a) (*.f64 c a))))))
(.f64 (sqrt.f64 (neg.f64 #s(approx ( (+ c b) a) (.f64 c a)))) (sqrt.f64 (neg.f64 #s(approx ( (+ c b) a) (*.f64 c a)))))
(.f64 (sqrt.f64 #s(approx ( (+ c b) a) (.f64 c a))) (sqrt.f64 #s(approx ( (+ c b) a) (*.f64 c a))))
(pow.f64 (neg.f64 #s(approx (* (+ c b) a) (*.f64 c a))) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (* (+ c b) a) (*.f64 c a)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 #s(approx (* (+ c b) a) (*.f64 c a)) #s(literal 1 binary64))
#s(approx (* (+ c b) a) (*.f64 c a))
(sqrt.f64 (pow.f64 #s(approx (* (+ c b) a) (*.f64 c a)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (* (+ c b) a) (*.f64 c a)))))
(fabs.f64 (neg.f64 #s(approx (* (+ c b) a) (*.f64 c a))))
(fabs.f64 #s(approx (* (+ c b) a) (*.f64 c a)))
(exp.f64 (/.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(approx ( (+ c b) a) (*.f64 c a)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx ( (+ c b) a) (*.f64 c a))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (* (+ c b) a) (*.f64 c a))))
(+.f64 (cosh.f64 (log.f64 #s(approx (* (+ c b) a) (.f64 c a)))) (sinh.f64 (log.f64 #s(approx ( (+ c b) a) (*.f64 c a)))))
(*.f64 c a)
(*.f64 a c)

eval18.0ms (0.3%)

Memory: 36.3MiB live, 36.3MiB allocated
Compiler: Compiled 7 522 to 383 computations (94.9% saved)

prune26.0ms (0.5%)

Memory

-31.0MiB live, 13.9MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	138	5	143

Accuracy

100.0%

Counts

143 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 d a (*.f64 (+.f64 c b) a))
✓	99.5%	(fma.f64 d a #s(approx (* (+ c b) a) (*.f64 c a)))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.4%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
✓	94.7%	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Compiler

Compiled 98 to 64 computations (34.7% saved)

regimes19.0ms (0.3%)

Memory

-2.9MiB live, 41.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes14.0ms (0.3%)

Memory

37.4MiB live, 37.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes59.0ms (1.1%)

Memory

-33.8MiB live, 63.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

28.0ms	a
14.0ms	b
11.0ms	(+.f64 (+.f64 b c) d)
1.0ms	(+.f64 b c)
1.0ms	d

Results

Accuracy	Segments	Branch
99.4%	1	`(+.f64 b c)`
99.4%	1	`(+.f64 (+.f64 b c) d)`
99.4%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
99.4%	1	`a`
99.4%	1	`b`
99.4%	1	`c`
99.4%	1	`d`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes8.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
94.7%	1	`(+.f64 b c)`
94.7%	1	`(+.f64 (+.f64 b c) d)`
94.7%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
94.7%	1	`a`
94.7%	1	`b`
94.7%	1	`c`
94.7%	1	`d`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

simplify43.0ms (0.8%)

Memory

-15.1MiB live, 70.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	29	37
2	57	37
3	130	37
4	238	37
5	413	37
6	563	37
7	888	37
8	1276	37
9	1521	37
10	1636	37
11	1696	37

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness347.0ms (6.4%)

Memory

17.9MiB live, 263.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	46	15
2	385	15
3	5552	15
0	8493	15
0	84	183
1	289	183
2	945	183
3	3637	183
0	8223	183

Stop Event

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

Compiler

Compiled 68 to 41 computations (39.7% saved)

preprocess57.0ms (1%)

Memory: 27.1MiB live, 114.5MiB allocated
Remove: (negabs a)
Compiler: Compiled 202 to 150 computations (25.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	27
0	12	27
1	17	27
2	29	27
3	50	27
4	82	27
5	120	27
6	140	27
7	178	27
8	196	27
9	206	27
10	216	27
0	216	27

Iter	Nodes	Cost
0	9	27
0	12	27
1	17	27
2	29	27
3	50	27
4	82	27
5	120	27
6	140	27
7	178	27
8	196	27
9	206	27
10	216	27
0	216	27

start0.0ms (0%)

analyze344.0ms (6.3%)

sample2.2s (40.8%)

explain79.0ms (1.5%)

preprocess324.0ms (6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify30.0ms (0.6%)

localize61.0ms (1.1%)

series6.0ms (0.1%)

simplify117.0ms (2.2%)

rewrite279.0ms (5.1%)

eval53.0ms (1%)

prune5.0ms (0.1%)

simplify62.0ms (1.1%)

localize54.0ms (1%)

series11.0ms (0.2%)

simplify193.0ms (3.6%)

rewrite397.0ms (7.3%)

eval43.0ms (0.8%)

prune5.0ms (0.1%)

simplify7.0ms (0.1%)

localize158.0ms (2.9%)

series6.0ms (0.1%)

simplify176.0ms (3.2%)

rewrite207.0ms (3.8%)

eval18.0ms (0.3%)

prune26.0ms (0.5%)

regimes19.0ms (0.3%)

regimes14.0ms (0.3%)

regimes59.0ms (1.1%)

regimes8.0ms (0.1%)

simplify43.0ms (0.8%)

soundness347.0ms (6.4%)

preprocess57.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	27
0	12	27
1	17	27
2	29	27
3	50	27
4	82	27
5	120	27
6	140	27
7	178	27
8	196	27
9	206	27
10	216	27
0	216	27