Metrics for Expression, p14

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze416.0ms (8.9%)

Memory

-8.1MiB live, 281.8MiB 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)

sample2.0s (42.8%)

Memory

-12.1MiB live, 1 871.4MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 748.0ms

ival-<=: 275.0ms (36.8% of total)

const: 177.0ms (23.7% of total)

ival-add: 144.0ms (19.3% of total)

ival-mult: 89.0ms (11.9% of total)

ival-and: 43.0ms (5.7% of total)

exact: 17.0ms (2.3% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain72.0ms (1.5%)

Memory

15.2MiB live, 89.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

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

ival-add: 5.0ms (53.2% of total)

ival-mult: 3.0ms (31.9% of total)

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

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

preprocess178.0ms (3.8%)

Memory

-8.8MiB live, 75.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	112
1	169	102
2	615	99
3	1879	99
4	3360	99
5	3903	99
6	4067	99
7	4075	99
8	4075	99
9	4412	99
10	4548	99
11	4548	99
0	7	7
0	10	7
1	21	7
2	49	7
3	137	7
4	275	7
5	671	7
6	1163	7
7	1223	7
0	1223	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs a)

(sort b c d)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB 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
▶	100.0%	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify34.0ms (0.7%)

Memory

9.5MiB live, 44.9MiB 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	137	19
4	275	19
5	671	19
6	1163	19
7	1223	19
0	1223	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

localize20.0ms (0.4%)

Memory

-0.0MiB live, 35.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 b c)
accuracy	0.00390625	(+.f64 (+.f64 b c) d)
accuracy	0.03125	(*.f64 a (+.f64 (+.f64 b c) d))

Samples

16.0ms

256×

valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

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

ival-mult: 4.0ms (58.8% of total)

ival-add: 3.0ms (44.1% of total)

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

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

series6.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB 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))

simplify138.0ms (2.9%)

Memory

-9.4MiB live, 115.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	153
1	292	153
2	977	153
3	3866	153
0	8318	153

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

rewrite441.0ms (9.4%)

Memory

15.7MiB live, 162.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	46	15
2	416	15
3	6563	15
0	8424	15

Stop Event

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

Counts

3 → 355

Calls

Call 1

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

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

eval56.0ms (1.2%)

Memory: 9.4MiB live, 47.1MiB allocated
Compiler: Compiled 9 096 to 1 113 computations (87.8% saved)

prune67.0ms (1.4%)

Memory

-20.3MiB live, 18.1MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	363	3	366
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	363	4	367

Accuracy

100.0%

Counts

367 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 d b) a (*.f64 c a))
✓	100.0%	(*.f64 a (+.f64 (+.f64 b c) d))
▶	99.7%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
▶	93.5%	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Compiler

Compiled 37 to 32 computations (13.5% saved)

simplify81.0ms (1.7%)

Memory

-2.2MiB live, 46.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 c a)
cost-diff	0	(+.f64 d b)
cost-diff	1	(fma.f64 (+.f64 d b) a (*.f64 c 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	60
0	22	59
1	44	59
2	91	59
3	203	59
4	478	59
5	963	59
6	1229	59
7	1294	59
8	1298	59
9	1300	59
10	1303	59
11	1305	59
0	1305	59

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

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

localize66.0ms (1.4%)

Memory

6.4MiB live, 42.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 d b)
accuracy	0.0	(*.f64 c a)
accuracy	0.00390625	(fma.f64 (+.f64 d b) a (*.f64 c a))
accuracy	0.0	(+.f64 d c)
accuracy	0.03125	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
accuracy	0.18836722892497385	#s(approx (+ (+ b c) d) (+.f64 d c))
accuracy	0.0	(*.f64 d a)
accuracy	4.128849571126747	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Samples

58.0ms

256×

valid

Compiler

Compiled 111 to 30 computations (73% saved)

Precisions

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

ival-mult: 41.0ms (86.2% of total)

ival-add: 6.0ms (12.6% of total)

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

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

series12.0ms (0.3%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

8 → 45

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

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

Calls

12 calls:

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

simplify111.0ms (2.4%)

Memory

-22.8MiB live, 140.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	217
1	439	217
2	1340	217
3	4835	217
0	8608	217

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 42

Calls

Call 1

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

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

rewrite231.0ms (4.9%)

Memory

14.3MiB live, 247.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51
0	22	50
1	97	50
2	816	50
0	8301	50

Stop Event

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

Counts

8 → 299

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

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

eval49.0ms (1%)

Memory: -2.6MiB live, 47.3MiB allocated
Compiler: Compiled 8 550 to 981 computations (88.5% saved)

prune22.0ms (0.5%)

Memory

-23.4MiB live, 14.7MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	313	0	313
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	313	4	317

Accuracy

100.0%

Counts

317 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 d b) a (*.f64 c a))
✓	100.0%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.7%	(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
✓	93.5%	#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

Compiler

Compiled 74 to 50 computations (32.4% saved)

regimes15.0ms (0.3%)

Memory

16.2MiB live, 16.2MiB 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 (+.f64 d b) a (*.f64 c a))

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes12.0ms (0.3%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes42.0ms (0.9%)

Memory

-18.0MiB live, 21.0MiB 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:

33.0ms	(+.f64 b c)
1.0ms	(+.f64 (+.f64 b c) d)
1.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms	c
1.0ms	a

Results

Accuracy	Segments	Branch
99.7%	1	`a`
99.7%	1	`b`
99.7%	1	`c`
99.7%	1	`d`
99.7%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
99.7%	1	`(+.f64 (+.f64 b c) d)`
99.7%	1	`(+.f64 b c)`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes8.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB 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 (+.f64 b c) d)
1.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms	(+.f64 b c)
1.0ms	a
1.0ms	c

Results

Accuracy	Segments	Branch
93.5%	1	`a`
93.5%	1	`b`
93.5%	1	`c`
93.5%	1	`d`
93.5%	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
93.5%	1	`(+.f64 (+.f64 b c) d)`
93.5%	1	`(+.f64 b c)`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

simplify142.0ms (3%)

Memory

-66.0MiB live, 89.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	29	37
2	57	37
3	145	37
4	282	37
5	713	37
6	1414	37
7	2574	37
8	6063	37

Stop Event

1×	node limit

Calls

Call 1

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

soundness396.0ms (8.5%)

Memory

24.2MiB live, 178.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	46	15
2	416	15
3	6563	15
0	8424	15
0	84	153
1	292	153
2	977	153
3	3866	153
0	8318	153

Stop Event

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

Compiler

Compiled 60 to 39 computations (35% saved)

preprocess68.0ms (1.4%)

Memory: 17.8MiB live, 93.4MiB allocated
Remove: (negabs a)
Compiler: Compiled 202 to 150 computations (25.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze416.0ms (8.9%)

sample2.0s (42.8%)

explain72.0ms (1.5%)

preprocess178.0ms (3.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify34.0ms (0.7%)

localize20.0ms (0.4%)

series6.0ms (0.1%)

simplify138.0ms (2.9%)

rewrite441.0ms (9.4%)

eval56.0ms (1.2%)

prune67.0ms (1.4%)

simplify81.0ms (1.7%)

localize66.0ms (1.4%)

series12.0ms (0.3%)

simplify111.0ms (2.4%)

rewrite231.0ms (4.9%)

eval49.0ms (1%)

prune22.0ms (0.5%)

regimes15.0ms (0.3%)

regimes12.0ms (0.3%)

regimes42.0ms (0.9%)

regimes8.0ms (0.2%)

simplify142.0ms (3%)

soundness396.0ms (8.5%)

preprocess68.0ms (1.4%)

end0.0ms (0%)

Profiling