Metrics for Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	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)

sample670.0ms (16.2%)

Memory

-13.0MiB live, 902.1MiB allocated

Samples

427.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-mult: 129.0ms (52.7% of total)

ival-add: 59.0ms (24.1% of total)

ival-sub: 42.0ms (17.2% of total)

ival-true: 6.0ms (2.5% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain150.0ms (3.6%)

Memory

21.3MiB live, 143.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`	nan-rescue	7	0
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 (-.f64 x #s(literal 1 binary64)) z)`	overflow	36

Confusion

	Predicted +	Predicted -
+	7	0
-	0	249

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	7	0	0
-	0	0	249

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	249
1	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 109 to 50 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (55.6% of total)

ival-sub: 3.0ms (23.8% of total)

ival-add: 2.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess124.0ms (3%)

Memory

-25.8MiB live, 56.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	83
2	178	81
3	482	66
4	1083	64
5	1866	64
6	2292	64
7	2354	64
8	2362	64
9	2362	64
0	8	9
0	12	9
1	20	9
2	27	9
3	39	7
4	50	7
5	68	7
6	111	7
7	182	7
8	370	7
9	580	7
10	670	7
11	680	7
0	680	7

Stop Event

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

Calls

Call 1

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

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

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify19.0ms (0.5%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	20	24
2	27	24
3	39	22
4	50	22
5	68	22
6	111	22
7	182	22
8	370	22
9	580	22
10	670	22
11	680	22
0	680	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (1.3%)

Memory

-19.1MiB live, 19.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
accuracy	1.457029185830206	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Samples

13.0ms

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 (48.7% of total)

ival-sub: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

4 → 22

Calls

Call 1

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

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

Calls

9 calls:

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

simplify108.0ms (2.6%)

Memory

27.8MiB live, 65.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	113
1	180	105
2	532	105
3	1340	105
4	4428	105
0	8093	105

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

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

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

rewrite230.0ms (5.6%)

Memory

4.5MiB live, 153.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	45	20
2	311	20
3	3854	20
0	10409	19

Stop Event

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

Counts

4 → 280

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #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 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (.f64 y x)) (.f64 z (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (.f64 y x)) (.f64 z (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (.f64 y x)) (.f64 z (-.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (.f64 y x)) (.f64 z (-.f64 x #s(literal 1 binary64)))) (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 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (.f64 y x)))
(.f64 (-.f64 (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #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 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x))) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (.f64 y x)) (fma.f64 (.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (.f64 y x)) (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (.f64 y x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x))))
(.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (.f64 y x)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (.f64 y x)))
(pow.f64 (/.f64 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (.f64 y x)) (-.f64 (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (.f64 y x))) (.f64 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) (.f64 y x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)))) (.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x))) (neg.f64 (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))) (.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)))))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x))) (.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x))) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x))) #s(literal 1 binary64))) (.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (neg.f64 (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) (.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(expm1.f64 (log.f64 x))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))

eval52.0ms (1.3%)

Memory: 11.6MiB live, 49.2MiB allocated
Compiler: Compiled 7 082 to 1 016 computations (85.7% saved)

prune45.0ms (1.1%)

Memory

-32.9MiB live, 18.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	285	4	289
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	286	4	290

Accuracy

100.0%

Counts

290 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
▶	63.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
▶	63.1%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
▶	39.1%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))

Compiler

Compiled 59 to 45 computations (23.7% saved)

simplify23.0ms (0.6%)

Memory

21.3MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	99
0	24	99
1	38	99
2	54	91
3	103	91
4	173	91
5	308	91
6	619	91
7	804	91
8	855	91
9	859	91
0	859	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (1.5%)

Memory

-4.4MiB live, 68.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (+.f64 z y) x (neg.f64 z))
accuracy	0	(+.f64 z y)
accuracy	0	(neg.f64 z)
accuracy	0	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
accuracy	23.3473988804867	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
accuracy	0	(+.f64 z y)
accuracy	0.0234375	(*.f64 (+.f64 z y) x)
accuracy	23.62864991255871	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
accuracy	0	(neg.f64 z)
accuracy	39.00597104112265	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))

Samples

49.0ms

256×

valid

Compiler

Compiled 178 to 33 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 32.0ms (85.2% of total)

ival-add: 3.0ms (8% of total)

ival-sub: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

-18.4MiB live, 18.9MiB allocated

Counts

10 → 42

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	((+ (* x y) (* (- x 1) z)) (neg z) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ z y) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1) (+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)))
1.0ms	z	@	-inf	((+ (* x y) (* (- x 1) z)) (neg z) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ z y) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1) (+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)))
1.0ms	x	@	-inf	((+ (* x y) (* (- x 1) z)) (neg z) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ z y) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1) (+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)))
1.0ms	x	@	inf	((+ (* x y) (* (- x 1) z)) (neg z) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ z y) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1) (+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)))
1.0ms	x	@	0	((+ (* x y) (* (- x 1) z)) (neg z) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ z y) (+ (* x y) (* (- x 1) z)) (* (- x 1) z) (- x 1) (+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)))

simplify125.0ms (3%)

Memory

6.6MiB live, 130.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	199
1	346	199
2	1014	199
3	2586	199
4	5283	199
5	7108	199
0	8096	199

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 39

Calls

Call 1

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

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

rewrite254.0ms (6.2%)

Memory

22.2MiB live, 212.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	84
0	24	84
1	87	84
2	635	68
0	9209	66

Stop Event

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

Counts

10 → 540

Calls

Call 1

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

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

eval148.0ms (3.6%)

Memory: 0.0MiB live, 159.9MiB allocated
Compiler: Compiled 18 478 to 1 991 computations (89.2% saved)

prune45.0ms (1.1%)

Memory

-16.1MiB live, 34.9MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	649	3	652
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	649	7	656

Accuracy

100.0%

Counts

656 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
✓	63.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
✓	63.1%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
▶	40.6%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
✓	39.1%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
▶	27.0%	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
▶	2.6%	#s(approx (+ (* x y) (* (- x 1) z)) z)

Compiler

Compiled 102 to 75 computations (26.5% saved)

simplify42.0ms (1%)

Memory

-10.1MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	63
0	16	63
1	25	63
2	30	63
3	40	57
4	51	57
5	69	57
6	113	57
7	185	57
8	370	57
9	578	57
10	668	57
11	678	57
0	678	57

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.6%)

Memory

2.5MiB live, 41.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	38.02381078522534	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
accuracy	0	(*.f64 z x)
accuracy	23.3473988804867	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
accuracy	33.60404152896903	#s(approx (* (- x 1) z) (*.f64 z x))
accuracy	62.34708075446278	#s(approx (+ (* x y) (* (- x 1) z)) z)

Samples

20.0ms

256×

valid

Compiler

Compiled 108 to 26 computations (75.9% saved)

Precisions

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

ival-mult: 8.0ms (77.3% of total)

ival-sub: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

6 → 17

Calls

Call 1

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

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

Calls

9 calls:

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

simplify104.0ms (2.5%)

Memory

7.3MiB live, 88.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	102
1	166	94
2	488	94
3	1247	94
4	3725	94
5	6939	94
0	8093	94

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite212.0ms (5.1%)

Memory

10.3MiB live, 237.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
0	16	58
1	50	58
2	314	58
3	3820	58
0	10376	55

Stop Event

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

Counts

6 → 21

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: -29.6MiB live, 8.8MiB allocated
Compiler: Compiled 467 to 77 computations (83.5% saved)

prune4.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	28	7	35

Accuracy

100.0%

Counts

35 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
✓	63.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
✓	63.1%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
✓	40.6%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
✓	39.1%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
✓	27.0%	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
✓	2.6%	#s(approx (+ (* x y) (* (- x 1) z)) z)

Compiler

Compiled 213 to 102 computations (52.1% saved)

regimes17.0ms (0.4%)

Memory

-16.4MiB live, 34.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes12.0ms (0.3%)

Memory

30.4MiB live, 30.4MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
88.9%	3	`x`
83.4%	3	`y`
81.0%	3	`z`
76.0%	5	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes4.0ms (0.1%)

Memory

-30.1MiB live, 8.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
88.6%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
55.2%	5	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
58.1%	4	`z`
60.6%	3	`y`
68.7%	4	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
62.9%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes30.0ms (0.7%)

Memory

-23.0MiB live, 15.6MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Results

Accuracy	Segments	Branch
39.1%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
39.1%	1	`z`
39.1%	1	`y`
39.1%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
2.6%	1	`z`
2.6%	1	`y`
2.6%	1	`x`
2.6%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch23.0ms (0.6%)

Memory

7.6MiB live, 45.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.0009573148475274766	0.004405569128989394
13.0ms	-1.542300836794049e-145	-5.491128452387102e-150

Samples

13.0ms

224×

valid

Compiler

Compiled 432 to 364 computations (15.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (65.9% of total)

ival-sub: 1.0ms (13.2% of total)

ival-add: 1.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch40.0ms (1%)

Memory

-13.3MiB live, 50.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0009573148475274766	0.004405569128989394
1.0ms	-1.542300836794049e-145	-5.491128452387102e-150

Samples

15.0ms

48×

valid

Compiler

Compiled 390 to 336 computations (13.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (83.7% 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)

bsearch42.0ms (1%)

Memory

-0.4MiB live, 76.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	0.0009573148475274766	0.004405569128989394
16.0ms	-8.927350589797791e-104	-1.0593660241231691e-123
23.0ms	-882975463342.0804	-822.6182637648766

Samples

17.0ms

320×

valid

Compiler

Compiled 725 to 595 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (53% of total)

ival-sub: 1.0ms (13.3% of total)

ival-add: 1.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.6%)

Memory

-29.4MiB live, 48.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.004405569128989394	0.031611897850118184
11.0ms	-822.6182637648766	-13.804700696554951

Samples

11.0ms

208×

valid

Compiler

Compiled 415 to 313 computations (24.6% saved)

Precisions

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

ival-mult: 3.0ms (63.4% of total)

ival-sub: 1.0ms (21.1% of total)

ival-add: 1.0ms (21.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify28.0ms (0.7%)

Memory

3.6MiB live, 78.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	270
1	60	270
2	65	270
3	71	270
4	78	270
5	87	270

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(if (<=.f64 x #s(literal -8435463364768493/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 5764607523034235/4611686018427387904 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -8435463364768493/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 8854437155380585/9223372036854775808 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -32000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (.f64 z x))) (if (<=.f64 x #s(literal -7101187164738999/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 y x)) (if (<=.f64 x #s(literal 8854437155380585/9223372036854775808 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)))))
(if (<=.f64 x #s(literal -14 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (.f64 z x))) (if (<=.f64 x #s(literal 1116892707587883/36028797018963968 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) z)

Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(if (<=.f64 x #s(literal -8435463364768493/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 5764607523034235/4611686018427387904 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -8435463364768493/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 8854437155380585/9223372036854775808 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -32000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (.f64 z x))) (if (<=.f64 x #s(literal -7101187164738999/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 y x)) (if (<=.f64 x #s(literal 8854437155380585/9223372036854775808 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)))))
(if (<=.f64 x #s(literal -14 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (.f64 z x))) (if (<=.f64 x #s(literal 1116892707587883/36028797018963968 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) z)

soundness1.3s (31.1%)

Memory

40.9MiB live, 515.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	84
0	24	84
1	87	84
2	635	68
0	9209	66
0	100	199
1	346	199
2	1014	199
3	2586	199
4	5283	199
5	7108	199
0	8096	199
0	54	113
1	180	105
2	532	105
3	1340	105
4	4428	105
0	8093	105

Stop Event

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

Compiler

Compiled 329 to 126 computations (61.7% saved)

preprocess76.0ms (1.8%)

Memory: -33.7MiB live, 52.8MiB allocated
Compiler: Compiled 558 to 112 computations (79.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	20	24
2	27	24
3	39	22
4	50	22
5	68	22
6	111	22
7	182	22
8	370	22
9	580	22
10	670	22
11	680	22
0	680	22

Iter	Nodes	Cost
0	18	99
0	24	99
1	38	99
2	54	91
3	103	91
4	173	91
5	308	91
6	619	91
7	804	91
8	855	91
9	859	91
0	859	91

Iter	Nodes	Cost
0	14	63
0	16	63
1	25	63
2	30	63
3	40	57
4	51	57
5	69	57
6	113	57
7	185	57
8	370	57
9	578	57
10	668	57
11	678	57
0	678	57

Iter	Nodes	Cost
0	8	24
0	12	24
1	20	24
2	27	24
3	39	22
4	50	22
5	68	22
6	111	22
7	182	22
8	370	22
9	580	22
10	670	22
11	680	22
0	680	22

Iter	Nodes	Cost
0	18	99
0	24	99
1	38	99
2	54	91
3	103	91
4	173	91
5	308	91
6	619	91
7	804	91
8	855	91
9	859	91
0	859	91

Iter	Nodes	Cost
0	14	63
0	16	63
1	25	63
2	30	63
3	40	57
4	51	57
5	69	57
6	113	57
7	185	57
8	370	57
9	578	57
10	668	57
11	678	57
0	678	57

start0.0ms (0%)

analyze0.0ms (0%)

sample670.0ms (16.2%)

explain150.0ms (3.6%)

preprocess124.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify19.0ms (0.5%)

localize53.0ms (1.3%)

series7.0ms (0.2%)

simplify108.0ms (2.6%)

rewrite230.0ms (5.6%)

eval52.0ms (1.3%)

prune45.0ms (1.1%)

simplify23.0ms (0.6%)

localize63.0ms (1.5%)

series11.0ms (0.3%)

simplify125.0ms (3%)

rewrite254.0ms (6.2%)

eval148.0ms (3.6%)

prune45.0ms (1.1%)

simplify42.0ms (1%)

localize27.0ms (0.6%)

series6.0ms (0.2%)

simplify104.0ms (2.5%)

rewrite212.0ms (5.1%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

regimes17.0ms (0.4%)

regimes12.0ms (0.3%)

regimes4.0ms (0.1%)

regimes9.0ms (0.2%)

regimes2.0ms (0.1%)

regimes30.0ms (0.7%)

regimes6.0ms (0.1%)

bsearch23.0ms (0.6%)

bsearch40.0ms (1%)

bsearch42.0ms (1%)

bsearch25.0ms (0.6%)

simplify28.0ms (0.7%)

soundness1.3s (31.1%)

preprocess76.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	20	24
2	27	24
3	39	22
4	50	22
5	68	22
6	111	22
7	182	22
8	370	22
9	580	22
10	670	22
11	680	22
0	680	22

Iter	Nodes	Cost
0	18	99
0	24	99
1	38	99
2	54	91
3	103	91
4	173	91
5	308	91
6	619	91
7	804	91
8	855	91
9	859	91
0	859	91

Iter	Nodes	Cost
0	14	63
0	16	63
1	25	63
2	30	63
3	40	57
4	51	57
5	69	57
6	113	57
7	185	57
8	370	57
9	578	57
10	668	57
11	678	57
0	678	57