Metrics for Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

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%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (25.9%)

Memory

-41.3MiB live, 1 136.5MiB allocated

Samples

728.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 449.0ms

ival-mult: 309.0ms (68.9% of total)

ival-sub: 93.0ms (20.7% of total)

ival-add: 33.0ms (7.4% of total)

ival-true: 5.0ms (1.1% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain96.0ms (1.7%)

Memory

5.6MiB live, 90.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
6	-	-	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
0	-	-	`y`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`	nan-rescue	6	0
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`	overflow	43

Confusion

	Predicted +	Predicted -
+	6	0
-	0	250

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	0	0	250

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions

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

ival-mult: 6.0ms (49.6% of total)

ival-sub: 3.0ms (24.8% of total)

ival-add: 2.0ms (16.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess131.0ms (2.4%)

Memory

6.9MiB live, 41.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	81
2	189	81
3	563	68
4	1173	64
5	1926	63
6	2311	63
7	2374	63
8	2378	63
9	2378	63
0	8	9
0	12	9
1	19	9
2	29	9
3	52	9
4	107	8
5	155	7
6	245	7
7	396	7
8	571	7
9	650	7
10	653	7
0	653	6

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (-.f64 y z) x z)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify126.0ms (2.3%)

Memory

-21.9MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
cost-diff	0	(*.f64 x y)
cost-diff	448	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	245	22
7	396	22
8	571	22
9	650	22
10	653	22
0	653	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 x y)
x
y
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
z

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (-.f64 y z) x z)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
z

localize27.0ms (0.5%)

Memory

5.1MiB live, 41.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 x y)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	1.2968708716604118	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

17.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

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

ival-mult: 3.0ms (50.2% of total)

ival-sub: 1.0ms (16.7% of total)

ival-add: 1.0ms (16.7% 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

15.6MiB live, 15.6MiB allocated

Counts

4 → 22

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 x y)
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)

Outputs
z
(+ z (* x (+ y (* -1 z))))
(* x y)
(+ z (* -1 (* x z)))
1
(+ 1 (* -1 x))
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(* y (+ x (/ (* z (- 1 x)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* z (- (+ 1 (/ (* x y) z)) x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))
1.0ms	z	@	0	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))
1.0ms	x	@	inf	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))
1.0ms	x	@	0	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))
1.0ms	z	@	inf	((+ (* x y) (* (- 1 x) z)) (* x y) (* (- 1 x) z) (- 1 x))

simplify112.0ms (2%)

Memory

-13.1MiB live, 114.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	120
1	192	106
2	594	106
3	1501	106
4	4300	106
5	6860	106
0	8055	98

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

Inputs
z
(+ z (* x (+ y (* -1 z))))
(* x y)
(+ z (* -1 (* x z)))
1
(+ 1 (* -1 x))
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(* y (+ x (/ (* z (- 1 x)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* z (- (+ 1 (/ (* x y) z)) x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))

Outputs
z
(+ z (* x (+ y (* -1 z))))
(fma.f64 (-.f64 y z) x z)
(* x y)
(*.f64 y x)
(+ z (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* x (+ y (* -1 z)))
(*.f64 (-.f64 y z) x)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* x (+ (* -1 z) (/ z x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (+ z (* -1 y))))
(*.f64 (-.f64 y z) x)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* x (+ z (* -1 (/ z x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 (-.f64 y z) x z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 (-.f64 y z) x z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 (-.f64 y z) x z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 (-.f64 y z) x z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 (-.f64 y z) x z)

rewrite201.0ms (3.6%)

Memory

14.4MiB live, 327.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	44	20
2	314	20
3	3865	20
0	8538	19

Stop Event

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

Counts

4 → 284

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 x y)
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x)) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x)) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x x) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (fma.f64 x x x) z) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (-.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (/.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x)) (pow.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (*.f64 y x)) #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(/.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -3 binary64)) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval122.0ms (2.2%)

Memory: 15.9MiB live, 53.2MiB allocated
Compiler: Compiled 6 917 to 928 computations (86.6% saved)

prune8.0ms (0.1%)

Memory

-27.0MiB live, 16.6MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	289	4	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	290	4	294

Accuracy

100.0%

Counts

294 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
▶	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
▶	62.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
▶	68.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 54 to 41 computations (24.1% saved)

simplify22.0ms (0.4%)

Memory

25.6MiB live, 25.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	320	(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
cost-diff	0	(-.f64 y z)
cost-diff	0	(fma.f64 (-.f64 y z) x z)
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
cost-diff	0	(-.f64 y z)
cost-diff	0	(*.f64 (-.f64 y z) x)
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	98
0	25	93
1	36	93
2	53	87
3	96	87
4	159	87
5	221	87
6	347	87
7	583	87
8	769	87
9	797	87
10	797	87
0	797	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
z
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
(*.f64 (-.f64 y z) x)
(-.f64 y z)
y
z
x
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(fma.f64 (-.f64 y z) x z)
(-.f64 y z)
y
z
x
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
z
(*.f64 y x)
y

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
z
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
(*.f64 (-.f64 y z) x)
(-.f64 y z)
y
z
x
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(fma.f64 (-.f64 y z) x z)
(-.f64 y z)
y
z
x
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
(fma.f64 (-.f64 y z) x z)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
z
(*.f64 y x)
y

localize46.0ms (0.8%)

Memory

-22.5MiB live, 49.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 y x)
accuracy	0.5078069952111204	(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
accuracy	0.0	(-.f64 y z)
accuracy	0.0	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
accuracy	0.00390625	(fma.f64 (-.f64 y z) x z)
accuracy	0.0	(-.f64 y z)
accuracy	0.0	(*.f64 (-.f64 y z) x)
accuracy	24.07165735419835	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	20.493055923717996	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

31.0ms

256×

valid

Compiler

Compiled 181 to 34 computations (81.2% saved)

Precisions

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

ival-sub: 8.0ms (46% of total)

ival-mult: 6.0ms (34.5% of total)

ival-add: 3.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

10 → 47

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
(*.f64 (-.f64 y z) x)
(-.f64 y z)
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(fma.f64 (-.f64 y z) x z)
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
(*.f64 y x)

Outputs
z
(+ z (* x (+ y (* -1 z))))
(+ z (* -1 (* x z)))
1
(+ 1 (* -1 x))
(* x (- y z))
(+ z (* x (- y z)))
(* x y)
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (+ y (/ z x)) z))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(+ (* -1 (* x z)) (* x y))
(* -1 z)
(- y z)
(+ z (+ (* -1 (* x z)) (* x y)))
(* y (+ x (/ (* z (- 1 x)) y)))
(* y (+ x (* -1 (/ (* x z) y))))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(+ y (* -1 z))
(+ (* x y) (* z (+ 1 (* -1 x))))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (- (/ y z) 1))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (- x 1)))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (+ (* (- 1 x) z) (* y x)) (* y x))
1.0ms	x	@	-inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (+ (* (- 1 x) z) (* y x)) (* y x))
1.0ms	x	@	inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (+ (* (- 1 x) z) (* y x)) (* y x))
1.0ms	y	@	-inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (+ (* (- 1 x) z) (* y x)) (* y x))
1.0ms	x	@	0	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (+ (* x y) (* (- 1 x) z)) (+ (* (- y z) x) z) (+ (* (- 1 x) z) (* y x)) (* y x))

simplify126.0ms (2.3%)

Memory

-7.1MiB live, 80.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	236
1	388	230
2	1174	230
3	2905	230
4	5813	230
0	8146	213

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

Inputs
z
(+ z (* x (+ y (* -1 z))))
(+ z (* -1 (* x z)))
1
(+ 1 (* -1 x))
(* x (- y z))
(+ z (* x (- y z)))
(* x y)
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (+ y (/ z x)) z))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(+ (* -1 (* x z)) (* x y))
(* -1 z)
(- y z)
(+ z (+ (* -1 (* x z)) (* x y)))
(* y (+ x (/ (* z (- 1 x)) y)))
(* y (+ x (* -1 (/ (* x z) y))))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(+ y (* -1 z))
(+ (* x y) (* z (+ 1 (* -1 x))))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (- (/ y z) 1))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (- x 1)))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))

Outputs
z
(+ z (* x (+ y (* -1 z))))
(fma.f64 (-.f64 y z) x z)
(+ z (* -1 (* x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(+ z (* x (- y z)))
(fma.f64 (-.f64 y z) x z)
(* x y)
(*.f64 y x)
(* x (+ y (* -1 z)))
(*.f64 (-.f64 y z) x)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* x (+ (* -1 z) (/ z x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (+ y (/ z x)) z))
(fma.f64 (-.f64 y z) x z)
(* -1 (* x (+ z (* -1 y))))
(*.f64 (-.f64 y z) x)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* x (+ z (* -1 (/ z x)))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(fma.f64 (-.f64 y z) x z)
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+ (* x y) (* z (- 1 x)))
(fma.f64 (-.f64 y z) x z)
(+ (* -1 (* x z)) (* x y))
(*.f64 (-.f64 y z) x)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(+ z (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 (-.f64 y z) x z)
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 (-.f64 y z) x)
y
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 (-.f64 y z) x)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(fma.f64 (-.f64 y z) x z)
(+ y (* -1 z))
(-.f64 y z)
(+ (* x y) (* z (+ 1 (* -1 x))))
(fma.f64 (-.f64 y z) x z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 (-.f64 y z) x z)
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 (-.f64 y z) x)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (+ 1 (* -1 x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 (-.f64 y z) x)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (- x 1)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(fma.f64 (-.f64 y z) x z)

rewrite240.0ms (4.3%)

Memory

20.9MiB live, 217.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	79
0	25	74
1	98	74
2	680	68
0	8585	68

Stop Event

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

Counts

10 → 647

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
(*.f64 (-.f64 y z) x)
(-.f64 y z)
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(fma.f64 (-.f64 y z) x z)
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
(*.f64 y x)

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) x))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)))
(.f64 (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) x))
(.f64 (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) z) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) z))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) z))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) z) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) z) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (.f64 z (+.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (*.f64 z (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (neg.f64 x) z) (.f64 (neg.f64 x) z))) (-.f64 z (*.f64 (neg.f64 x) z)))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (neg.f64 z) x) (.f64 (neg.f64 z) x))) (-.f64 z (*.f64 (neg.f64 z) x)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) z) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (.f64 (.f64 (neg.f64 x) z) (.f64 (neg.f64 x) z)) (.f64 z (.f64 (neg.f64 x) z)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 z) x) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (.f64 (.f64 (neg.f64 z) x) (.f64 (neg.f64 z) x)) (.f64 z (.f64 (neg.f64 z) x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (*.f64 z #s(literal -1 binary64)) x z)
(fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) x z)
(fma.f64 (*.f64 (neg.f64 z) x) #s(literal 1 binary64) z)
(fma.f64 #s(literal -1 binary64) (*.f64 z x) z)
(fma.f64 #s(literal -1 binary64) (*.f64 x z) z)
(fma.f64 (neg.f64 z) x z)
(fma.f64 (neg.f64 x) z z)
(fma.f64 z (neg.f64 x) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 (neg.f64 x) z))
(fma.f64 z #s(literal 1 binary64) (*.f64 (neg.f64 z) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) z) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 (neg.f64 x) z))
(fma.f64 #s(literal 1 binary64) z (*.f64 (neg.f64 z) x))
(fma.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 z)) z)
(fma.f64 x (neg.f64 z) z)
(+.f64 (*.f64 (neg.f64 x) z) z)
(+.f64 (*.f64 (neg.f64 z) x) z)
(+.f64 z (*.f64 (neg.f64 x) z))
(+.f64 z (*.f64 (neg.f64 z) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
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(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
(fma.f64 z (-.f64 #s(literal 1 binary64) x) (*.f64 y x))
(fma.f64 z #s(literal 1 binary64) (*.f64 (-.f64 y z) x))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) x) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 (-.f64 y z) x))
(fma.f64 y x (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x (.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 (-.f64 y z) x))) (/.f64 (pow.f64 (.f64 (-.f64 y z) x) #s(literal 2 binary64)) (-.f64 z (.f64 (-.f64 y z) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x (neg.f64 z))) (/.f64 (.f64 z z) (fma.f64 (-.f64 y z) x (neg.f64 z))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) (.f64 (-.f64 #s(literal 1 binary64) x) z))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (-.f64 (.f64 y x) (.f64 (-.f64 #s(literal 1 binary64) x) z))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y))))
(+.f64 (+.f64 z (.f64 y x)) (.f64 (neg.f64 x) z))
(+.f64 (+.f64 z (.f64 y x)) (.f64 (neg.f64 z) x))
(+.f64 (fma.f64 y x z) (*.f64 (neg.f64 x) z))
(+.f64 (fma.f64 y x z) (*.f64 (neg.f64 z) x))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x (neg.f64 z))) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (-.f64 y z) x (neg.f64 z)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) (.f64 (-.f64 #s(literal 1 binary64) x) z))) (neg.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (-.f64 (.f64 y x) (.f64 (-.f64 #s(literal 1 binary64) x) z)))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y))) (neg.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)))))
(+.f64 (.f64 y x) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 y x))
(+.f64 z (*.f64 (-.f64 y z) x))
(.f64 (.f64 y #s(literal 1 binary64)) x)
(.f64 (.f64 y x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 y x)
(.f64 x (.f64 #s(literal 1 binary64) y))
(*.f64 x y)

eval69.0ms (1.2%)

Memory: -6.4MiB live, 152.8MiB allocated
Compiler: Compiled 19 529 to 1 853 computations (90.5% saved)

prune12.0ms (0.2%)

Memory

-0.6MiB live, 36.5MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	589	3	592
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	590	6	596

Accuracy

100.0%

Counts

596 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
▶	68.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
✓	62.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
▶	31.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
▶	38.5%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))

Compiler

Compiled 89 to 65 computations (27% saved)

simplify43.0ms (0.8%)

Memory

-8.8MiB live, 28.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) x z)
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- y z) (neg.f64 z))
cost-diff	0	(*.f64 #s(approx (- y z) (neg.f64 z)) x)
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	91
0	23	91
1	40	91
2	62	91
3	94	85
4	175	85
5	289	85
6	452	85
7	661	85
8	823	85
9	861	85
10	909	85
11	967	85
12	974	85
13	978	85
14	981	85
15	983	85
0	983	82

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
z
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
(*.f64 #s(approx (- y z) (neg.f64 z)) x)
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
z
x
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
(fma.f64 (neg.f64 z) x z)
(neg.f64 z)
z
x

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
z
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
(*.f64 #s(approx (- y z) (neg.f64 z)) x)
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
z
x
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 z) x z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(neg.f64 z)
z
x

localize40.0ms (0.7%)

Memory

-0.4MiB live, 81.8MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (neg.f64 z) x z)
accuracy	0.0	(neg.f64 z)
accuracy	20.493055923717996	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
accuracy	0.0	(*.f64 #s(approx (- y z) (neg.f64 z)) x)
accuracy	0.0	(neg.f64 z)
accuracy	24.07165735419835	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
accuracy	28.58449117564605	#s(approx (- y z) (neg.f64 z))
accuracy	0.01171875	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)
accuracy	20.493055923717996	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
accuracy	31.555661615038403	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

25.0ms

256×

valid

Compiler

Compiled 152 to 34 computations (77.6% saved)

Precisions

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

ival-mult: 6.0ms (49.5% of total)

ival-sub: 2.0ms (16.5% of total)

ival-add: 2.0ms (16.5% of total)

ival-neg: 1.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

9 → 38

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
(*.f64 #s(approx (- y z) (neg.f64 z)) x)
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
(fma.f64 (neg.f64 z) x z)

Outputs
z
(+ z (* x (+ y (* -1 z))))
(+ z (* -1 (* x z)))
1
(+ 1 (* -1 x))
(* x (- y z))
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(+ (* -1 (* x z)) (* x y))
(* -1 z)
(- y z)
(* x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(* y (+ x (* -1 (/ (* x z) y))))
y
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (- (/ z y) 1)))
(+ y (* -1 z))
(* z (+ 1 (* -1 x)))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (- (/ y z) 1))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (- x 1)))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* x y) (* (- 1 x) z)) (+ (* (neg z) x) z))
1.0ms	z	@	-inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* x y) (* (- 1 x) z)) (+ (* (neg z) x) z))
1.0ms	x	@	-inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* x y) (* (- 1 x) z)) (+ (* (neg z) x) z))
1.0ms	z	@	0	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* x y) (* (- 1 x) z)) (+ (* (neg z) x) z))
1.0ms	x	@	inf	((+ (* x y) (* (- 1 x) z)) (* (- 1 x) z) (- 1 x) (+ (* x y) (* (- 1 x) z)) (* (- y z) x) (- y z) (neg z) (+ (* x y) (* (- 1 x) z)) (+ (* (neg z) x) z))

simplify209.0ms (3.8%)

Memory

-28.7MiB live, 142.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	173
1	304	167
2	923	167
3	2367	167
4	5033	167
5	7440	167
0	8055	159

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 36

Calls

Call 1

Inputs
z
(+ z (* x (+ y (* -1 z))))
(+ z (* -1 (* x z)))
1
(+ 1 (* -1 x))
(* x (- y z))
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(+ (* -1 (* x z)) (* x y))
(* -1 z)
(- y z)
(* x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(* y (+ x (* -1 (/ (* x z) y))))
y
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (- (/ z y) 1)))
(+ y (* -1 z))
(* z (+ 1 (* -1 x)))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (- (/ y z) 1))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (- x 1)))

Outputs
z
(+ z (* x (+ y (* -1 z))))
(fma.f64 (-.f64 y z) x z)
(+ z (* -1 (* x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* x (- y z))
(*.f64 (-.f64 y z) x)
(* x (+ y (* -1 z)))
(*.f64 (-.f64 y z) x)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* x (+ (* -1 z) (/ z x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (+ z (* -1 y))))
(*.f64 (-.f64 y z) x)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* x (+ z (* -1 (/ z x)))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+ (* x y) (* z (- 1 x)))
(fma.f64 (-.f64 y z) x z)
(+ (* -1 (* x z)) (* x y))
(*.f64 (-.f64 y z) x)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 (-.f64 y z) x z)
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 (-.f64 y z) x)
y
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 (-.f64 y z) x)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(* z (+ 1 (* -1 x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 (-.f64 y z) x z)
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 (-.f64 y z) x)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 (-.f64 y z) x)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (- x 1)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))

rewrite183.0ms (3.3%)

Memory

5.9MiB live, 200.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	83
0	23	83
1	87	83
2	598	83
3	7119	83
0	8085	80

Stop Event

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

Counts

9 → 138

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
(*.f64 #s(approx (- y z) (neg.f64 z)) x)
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
(fma.f64 (neg.f64 z) x z)

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)
(*.f64 z #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
(.f64 (.f64 #s(approx (- y z) (neg.f64 z)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 1 binary64))
(*.f64 #s(approx (- y z) (neg.f64 z)) x)
(.f64 #s(literal 1 binary64) (.f64 #s(approx (- y z) (neg.f64 z)) x))
(.f64 x (.f64 #s(literal 1 binary64) #s(approx (- y z) (neg.f64 z))))
(*.f64 x #s(approx (- y z) (neg.f64 z)))
#s(approx (- y z) (neg.f64 z))
(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))
(.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 z z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 0 binary64) (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 z) z) z)
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 z z) (.f64 #s(literal 0 binary64) (neg.f64 z)))))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 z z))
(/.f64 (*.f64 z z) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(neg.f64 z)
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(+.f64 (neg.f64 z) #s(literal 0 binary64))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 z x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (neg.f64 z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (neg.f64 z) x) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 z (.f64 z x)) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 (+.f64 z (.f64 z x)) z)))
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eval21.0ms (0.4%)

Memory: 0.1MiB live, 36.1MiB allocated
Compiler: Compiled 4 524 to 580 computations (87.2% saved)

prune5.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	169	7	176

Accuracy

100.0%

Counts

176 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
✓	68.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
✓	62.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
✓	31.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
✓	38.5%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
▶	36.3%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 102 to 75 computations (26.5% saved)

simplify35.0ms (0.6%)

Memory

-24.9MiB live, 24.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
0	11	18
1	18	18
2	28	18
3	51	18
4	106	17
5	154	16
6	244	16
7	395	16
8	569	16
9	649	16
10	652	16
0	652	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
(*.f64 y x)
y
x

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
(*.f64 y x)
y
x

localize18.0ms (0.3%)

Memory

19.5MiB live, 19.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y x)
accuracy	40.76243004021624	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Samples

14.0ms

256×

valid

Compiler

Compiled 34 to 21 computations (38.2% saved)

Precisions

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

ival-mult: 5.0ms (69.3% of total)

ival-sub: 1.0ms (13.9% of total)

ival-add: 1.0ms (13.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

2 → 13

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
(*.f64 y x)

Outputs
z
(+ z (* x (+ y (* -1 z))))
(* x y)
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(* y (+ x (/ (* z (- 1 x)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* z (- (+ 1 (/ (* x y) z)) x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((+ (* x y) (* (- 1 x) z)) (* y x))
0.0ms	y	@	-inf	((+ (* x y) (* (- 1 x) z)) (* y x))
0.0ms	x	@	inf	((+ (* x y) (* (- 1 x) z)) (* y x))
0.0ms	x	@	0	((+ (* x y) (* (- 1 x) z)) (* y x))
0.0ms	y	@	inf	((+ (* x y) (* (- 1 x) z)) (* y x))

simplify120.0ms (2.2%)

Memory

-5.7MiB live, 102.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	85
1	152	75
2	510	75
3	1365	75
4	3915	75
5	5885	75
6	7776	75
0	8553	67

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 12

Calls

Call 1

Inputs
z
(+ z (* x (+ y (* -1 z))))
(* x y)
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(* y (+ x (/ (* z (- 1 x)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* z (- (+ 1 (/ (* x y) z)) x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))

Outputs
z
(+ z (* x (+ y (* -1 z))))
(fma.f64 (-.f64 y z) x z)
(* x y)
(*.f64 y x)
(* x (+ y (* -1 z)))
(*.f64 (-.f64 y z) x)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* x (+ z (* -1 y))))
(*.f64 (-.f64 y z) x)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 (-.f64 y z) x z)
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+ (* x y) (* z (- 1 x)))
(fma.f64 (-.f64 y z) x z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 (-.f64 y z) x z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 (-.f64 y z) x z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 (-.f64 y z) x z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 (-.f64 y z) x z)

rewrite210.0ms (3.8%)

Memory

14.2MiB live, 288.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
0	11	16
1	43	16
2	313	16
3	3857	16
0	11280	15

Stop Event

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

Counts

2 → 16

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
(*.f64 y x)

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
(*.f64 (exp.f64 (log.f64 y)) x)
(.f64 (pow.f64 (.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) x)
(.f64 (.f64 y #s(literal 1 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x (exp.f64 (log.f64 y)))
(.f64 x (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1 binary64) y))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))

eval2.0ms (0%)

Memory: 5.4MiB live, 5.4MiB allocated
Compiler: Compiled 303 to 59 computations (80.5% saved)

prune4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	20	7	27

Accuracy

100.0%

Counts

27 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
✓	68.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
✓	62.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
✓	31.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
✓	38.5%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
✓	36.3%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 228 to 107 computations (53.1% saved)

regimes16.0ms (0.3%)

Memory

-7.8MiB live, 30.4MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))

Calls

4 calls:

6.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes13.0ms (0.2%)

Memory

-20.9MiB live, 26.9MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))

Calls

4 calls:

5.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
87.8%	3	`x`
84.2%	3	`y`
83.4%	3	`z`
80.1%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
87.8%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
80.7%	3	`z`
82.6%	3	`y`
68.0%	1	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

-22.0MiB live, 17.4MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs

#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))

#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))

Calls

4 calls:

2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
68.5%	4	`x`
56.0%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
57.3%	4	`z`
59.1%	4	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
60.9%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Calls

4 calls:

1.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
36.3%	1	`z`
36.3%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
36.3%	1	`y`
36.3%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch24.0ms (0.4%)

Memory

-7.6MiB live, 31.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.05381948213044455	0.21914583656057016
14.0ms	-8.912104420363988e-26	-1.0256518820628964e-40

Samples

13.0ms

256×

valid

Compiler

Compiled 492 to 398 computations (19.1% saved)

Precisions

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

ival-mult: 4.0ms (57.5% of total)

ival-sub: 1.0ms (14.4% of total)

ival-add: 1.0ms (14.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.05381948213044455	0.21914583656057016
1.0ms	-8.912104420363988e-26	-1.0256518820628964e-40

Compiler

Compiled 492 to 414 computations (15.9% saved)

bsearch95.0ms (1.7%)

Memory

-11.9MiB live, 26.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
83.0ms	3.6433658318190216e+87	2.363552716848787e+100
9.0ms	-3.5666845623655724e+40	-8.12861860857899e+38

Samples

82.0ms

272×

valid

Compiler

Compiled 488 to 422 computations (13.5% saved)

Precisions

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

ival-mult: 3.0ms (48.3% of total)

ival-sub: 1.0ms (16.1% of total)

ival-add: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.5%)

Memory

26.9MiB live, 26.9MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.21914583656057016	35698837303.15228
1.0ms	-8.912104420363988e-26	-1.0256518820628964e-40
10.0ms	-3875050771853424000.0	-5529805789038513.0

Samples

13.0ms

288×

valid

Compiler

Compiled 910 to 724 computations (20.4% saved)

Precisions

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

ival-mult: 4.0ms (62% of total)

ival-sub: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.05381948213044455	0.21914583656057016
1.0ms	-8.912104420363988e-26	-1.0256518820628964e-40

Samples

4.0ms

80×

valid

Compiler

Compiled 492 to 398 computations (19.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (57.6% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify172.0ms (3.1%)

Memory

-17.7MiB live, 59.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	261
1	77	261
2	93	261
3	124	233
4	200	233
5	292	233
6	499	233
7	2990	233
8	6863	233

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(if (<=.f64 x #s(literal -7404544304199621/87112285931760246646623899502532662132736 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 5584463537939415/36028797018963968 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z)) #s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))))
(if (<=.f64 x #s(literal -7404544304199621/87112285931760246646623899502532662132736 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 5584463537939415/36028797018963968 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))))
(if (<=.f64 y #s(literal -33999999999999998856806021345479952957440 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 y #s(literal 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
(if (<=.f64 x #s(literal -420000000000000000 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (if (<=.f64 x #s(literal -7404544304199621/87112285931760246646623899502532662132736 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x)))))
(if (<=.f64 x #s(literal -7404544304199621/87112285931760246646623899502532662132736 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 7782220156096217/144115188075855872 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(if (<=.f64 x #s(literal -7404544304199621/87112285931760246646623899502532662132736 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 5584463537939415/36028797018963968 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z)) #s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))))
(if (or (<=.f64 x #s(literal -7404544304199621/87112285931760246646623899502532662132736 binary64)) (not (<=.f64 x #s(literal 5584463537939415/36028797018963968 binary64)))) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) #s(approx (+ ( x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z)))
(if (<=.f64 x #s(literal -7404544304199621/87112285931760246646623899502532662132736 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 5584463537939415/36028797018963968 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))))
(if (or (<=.f64 x #s(literal -7404544304199621/87112285931760246646623899502532662132736 binary64)) (not (<=.f64 x #s(literal 5584463537939415/36028797018963968 binary64)))) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(if (<=.f64 y #s(literal -33999999999999998856806021345479952957440 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 y #s(literal 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
(if (or (<=.f64 y #s(literal -33999999999999998856806021345479952957440 binary64)) (not (<=.f64 y #s(literal 499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 binary64)))) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(if (<=.f64 x #s(literal -420000000000000000 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (if (<=.f64 x #s(literal -7404544304199621/87112285931760246646623899502532662132736 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x)))))
(if (<=.f64 x #s(literal -7404544304199621/87112285931760246646623899502532662132736 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 7782220156096217/144115188075855872 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
(if (or (<=.f64 x #s(literal -7404544304199621/87112285931760246646623899502532662132736 binary64)) (not (<=.f64 x #s(literal 7782220156096217/144115188075855872 binary64)))) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

soundness1.4s (25.6%)

Memory

-17.7MiB live, 387.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	173
1	304	167
2	923	167
3	2367	167
4	5033	167
5	7440	167
0	8055	159
0	57	120
1	192	106
2	594	106
3	1501	106
4	4300	106
5	6860	106
0	8055	98
0	18	79
0	25	74
1	98	74
2	680	68
0	8585	68
0	113	236
1	388	230
2	1174	230
3	2905	230
4	5813	230
0	8146	213

Stop Event

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

Compiler

Compiled 432 to 226 computations (47.7% saved)

preprocess67.0ms (1.2%)

Memory: 1.7MiB live, 80.6MiB allocated
Compiler: Compiled 540 to 126 computations (76.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	245	22
7	396	22
8	571	22
9	650	22
10	653	22
0	653	21

Iter	Nodes	Cost
0	18	98
0	25	93
1	36	93
2	53	87
3	96	87
4	159	87
5	221	87
6	347	87
7	583	87
8	769	87
9	797	87
10	797	87
0	797	87

Iter	Nodes	Cost
0	18	91
0	23	91
1	40	91
2	62	91
3	94	85
4	175	85
5	289	85
6	452	85
7	661	85
8	823	85
9	861	85
10	909	85
11	967	85
12	974	85
13	978	85
14	981	85
15	983	85
0	983	82

Iter	Nodes	Cost
0	10	18
0	11	18
1	18	18
2	28	18
3	51	18
4	106	17
5	154	16
6	244	16
7	395	16
8	569	16
9	649	16
10	652	16
0	652	15

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	245	22
7	396	22
8	571	22
9	650	22
10	653	22
0	653	21

Iter	Nodes	Cost
0	18	98
0	25	93
1	36	93
2	53	87
3	96	87
4	159	87
5	221	87
6	347	87
7	583	87
8	769	87
9	797	87
10	797	87
0	797	87

Iter	Nodes	Cost
0	18	91
0	23	91
1	40	91
2	62	91
3	94	85
4	175	85
5	289	85
6	452	85
7	661	85
8	823	85
9	861	85
10	909	85
11	967	85
12	974	85
13	978	85
14	981	85
15	983	85
0	983	82

Iter	Nodes	Cost
0	10	18
0	11	18
1	18	18
2	28	18
3	51	18
4	106	17
5	154	16
6	244	16
7	395	16
8	569	16
9	649	16
10	652	16
0	652	15

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (25.9%)

explain96.0ms (1.7%)

preprocess131.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify126.0ms (2.3%)

localize27.0ms (0.5%)

series6.0ms (0.1%)

simplify112.0ms (2%)

rewrite201.0ms (3.6%)

eval122.0ms (2.2%)

prune8.0ms (0.1%)

simplify22.0ms (0.4%)

localize46.0ms (0.8%)

series9.0ms (0.2%)

simplify126.0ms (2.3%)

rewrite240.0ms (4.3%)

eval69.0ms (1.2%)

prune12.0ms (0.2%)

simplify43.0ms (0.8%)

localize40.0ms (0.7%)

series7.0ms (0.1%)

simplify209.0ms (3.8%)

rewrite183.0ms (3.3%)

eval21.0ms (0.4%)

prune5.0ms (0.1%)

simplify35.0ms (0.6%)

localize18.0ms (0.3%)

series3.0ms (0.1%)

simplify120.0ms (2.2%)

rewrite210.0ms (3.8%)

eval2.0ms (0%)

prune4.0ms (0.1%)

regimes16.0ms (0.3%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch24.0ms (0.4%)

bsearch2.0ms (0%)

bsearch95.0ms (1.7%)

bsearch27.0ms (0.5%)

bsearch8.0ms (0.2%)

simplify172.0ms (3.1%)

soundness1.4s (25.6%)

preprocess67.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	245	22
7	396	22
8	571	22
9	650	22
10	653	22
0	653	21

Iter	Nodes	Cost
0	18	98
0	25	93
1	36	93
2	53	87
3	96	87
4	159	87
5	221	87
6	347	87
7	583	87
8	769	87
9	797	87
10	797	87
0	797	87

Iter	Nodes	Cost
0	18	91
0	23	91
1	40	91
2	62	91
3	94	85
4	175	85
5	289	85
6	452	85
7	661	85
8	823	85
9	861	85
10	909	85
11	967	85
12	974	85
13	978	85
14	981	85
15	983	85
0	983	82

Iter	Nodes	Cost
0	10	18
0	11	18
1	18	18
2	28	18
3	51	18
4	106	17
5	154	16
6	244	16
7	395	16
8	569	16
9	649	16
10	652	16
0	652	15