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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 (26.8%)

Memory

-126.8MiB live, 1 225.1MiB allocated

Samples

962.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 488.0ms

ival-mult: 383.0ms (78.5% of total)

ival-add: 49.0ms (10% of total)

ival-sub: 41.0ms (8.4% of total)

ival-true: 7.0ms (1.4% of total)

exact: 5.0ms (1% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain242.0ms (4.5%)

Memory

-13.8MiB live, 184.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
9	-	-	`(+.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	9	0
↳	`(*.f64 x y)`	overflow	29
↳	`(*.f64 (-.f64 x #s(literal 1 binary64)) z)`	overflow	35

Confusion

	Predicted +	Predicted -
+	9	0
-	0	247

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	9	0	0
-	0	0	247

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	247
1	9

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 85 to 36 computations (57.6% saved)

Precisions

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

ival-mult: 7.0ms (54.4% of total)

ival-sub: 3.0ms (23.3% of total)

ival-add: 2.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess106.0ms (2%)

Memory

9.6MiB live, 87.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	98	83
2	263	81
3	708	66
4	1414	64
5	2001	64
6	2346	64
7	2405	64
8	2413	64
9	2413	64
10	2413	64
0	8	9
0	12	9
1	23	9
2	50	9
3	136	7
4	321	7
5	567	7
6	742	7
7	787	7
0	787	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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify28.0ms (0.5%)

Memory

-0.9MiB live, 40.4MiB 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	23	24
2	50	24
3	136	22
4	321	22
5	567	22
6	742	22
7	787	22
0	787	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 z (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
z

localize39.0ms (0.7%)

Memory

8.2MiB live, 47.5MiB 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	2.152329300811441	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Samples

34.0ms

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 (47.5% of total)

ival-sub: 1.0ms (15.8% of total)

ival-add: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.6%)

Memory

-22.1MiB live, 17.2MiB 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
25.0ms	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	@	inf	((+ (* 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))
1.0ms	x	@	0	((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1))

simplify102.0ms (1.9%)

Memory

13.5MiB live, 171.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	113
1	195	105
2	659	105
3	1933	105
4	5114	105
0	8098	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))

rewrite222.0ms (4.1%)

Memory

-7.1MiB live, 392.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	49	20
2	363	20
3	4675	20
0	8861	19

Stop Event

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

Counts

4 → 395

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

eval49.0ms (0.9%)

Memory: 33.9MiB live, 147.5MiB allocated
Compiler: Compiled 9 563 to 1 051 computations (89% saved)

prune38.0ms (0.7%)

Memory

-5.7MiB live, 81.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	399	5	404
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	400	5	405

Accuracy

100.0%

Counts

405 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.0%	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (*.f64 z x)))
▶	100.0%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
▶	61.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
▶	66.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
▶	36.0%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))

Compiler

Compiled 144 to 110 computations (23.6% saved)

simplify40.0ms (0.7%)

Memory

-17.7MiB live, 59.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (* (- x 1) z) (*.f64 z x))
cost-diff	0	(*.f64 x y)
cost-diff	128	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (*.f64 z x)))
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))
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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	130
0	31	130
1	50	130
2	89	122
3	216	122
4	503	122
5	763	122
6	842	122
7	867	122
8	889	122
9	909	122
10	913	122
0	913	121

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.9%)

Memory

2.6MiB live, 115.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z x)
accuracy	0	(*.f64 x y)
accuracy	2.152329300811441	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (*.f64 z x)))
accuracy	31.051269715488825	#s(approx (* (- x 1) z) (*.f64 z x))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
accuracy	24.639564259787655	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
accuracy	0	(+.f64 z y)
accuracy	0.01171875	(*.f64 (+.f64 z y) x)
accuracy	21.421062196556978	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
accuracy	0	(neg.f64 z)
accuracy	40.98974229792558	#s(approx (+ (* x y) (* (- x 1) z)) (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	0.00390625	(fma.f64 (+.f64 z y) x (neg.f64 z))

Samples

34.0ms

256×

valid

Compiler

Compiled 232 to 38 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 14.0ms (68.3% of total)

ival-add: 3.0ms (14.6% of total)

ival-sub: 1.0ms (4.9% of total)

ival-neg: 1.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

5.8MiB live, 44.9MiB allocated

Counts

14 → 42

Calls

Call 1

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

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

Calls

9 calls:

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

simplify452.0ms (8.4%)

Memory

-1.0MiB live, 83.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	199
1	367	199
2	1218	199
3	3430	199
4	6353	199
0	8135	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)) z)
(* x (+ y z))
(+ (* -1 z) (* x z))
-1
(- x 1)
(* x y)
(* x z)
(* x (+ y (+ z (* -1 (/ z x)))))
(* 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 (+ y z)) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (- (/ 1 x) 1)))
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(- (* x z) z)
(- (+ (* x y) (* x z)) z)
z
(+ y z)
(+ (* x y) (* x z))
(* y (+ x (/ (* z (- x 1)) y)))
(* y (- (+ x (/ (* x z) y)) (/ z y)))
y
(* y (+ 1 (/ z y)))
(* y (+ x (/ (* x z) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (+ 1 (/ y z)))
(* z (+ x (/ (* x y) z)))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 x))))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ (* -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)) 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)
(*.f64 y x)
(* x z)
(*.f64 z 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)))
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 (+ y 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))
(* 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 z) z)
(*.f64 z (-.f64 x #s(literal 1 binary64)))
(- (+ (* x y) (* x z)) z)
(fma.f64 (+.f64 z y) x (neg.f64 z))
z
(+ y z)
(+.f64 z y)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(* y (+ x (/ (* z (- x 1)) y)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 z y) x)
(* -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) z) y)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 z y) x)
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -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))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)

rewrite175.0ms (3.2%)

Memory

29.0MiB live, 175.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	112
0	31	112
1	110	112
2	834	96
0	9141	91

Stop Event

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

Counts

14 → 528

Calls

Call 1

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

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

eval132.0ms (2.4%)

Memory: -24.0MiB live, 143.9MiB allocated
Compiler: Compiled 19 092 to 1 867 computations (90.2% saved)

prune15.0ms (0.3%)

Memory

10.1MiB live, 47.4MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	609	4	613
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	610	8	618

Accuracy

100.0%

Counts

618 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
✓	100.0%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
▶	27.9%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
▶	40.8%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x))
✓	61.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
✓	66.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
✓	36.0%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
▶	2.9%	#s(approx (+ (* x y) (* (- x 1) z)) z)

Compiler

Compiled 111 to 84 computations (24.3% saved)

simplify46.0ms (0.9%)

Memory

-10.9MiB live, 25.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	85
0	23	85
1	41	85
2	78	85
3	184	79
4	401	79
5	743	79
6	1103	79
7	1186	79
8	1208	79
9	1228	79
10	1232	79
0	1232	79

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

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

localize62.0ms (1.1%)

Memory

-1.4MiB live, 48.3MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z x)
accuracy	1.4999834856333614	(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
accuracy	31.051269715488825	#s(approx (* (- x 1) z) (*.f64 z x))
accuracy	0	(fma.f64 z x z)
accuracy	46.132008564644906	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
accuracy	0	(-.f64 y z)
accuracy	0.00390625	(*.f64 (-.f64 y z) x)
accuracy	37.89755849125191	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 y z) x))
accuracy	62.149969925575775	#s(approx (+ (* x y) (* (- x 1) z)) z)

Samples

25.0ms

256×

valid

Compiler

Compiled 153 to 33 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (55.5% of total)

ival-add: 3.0ms (20.8% of total)

ival-sub: 2.0ms (13.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

9 → 37

Calls

Call 1

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

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

Calls

9 calls:

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

simplify129.0ms (2.4%)

Memory

-4.2MiB live, 103.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	181
1	332	173
2	1103	173
3	3061	173
4	5771	173
5	7893	173
0	8065	168

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 35

Calls

Call 1

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

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

rewrite198.0ms (3.7%)

Memory

7.2MiB live, 327.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
0	23	76
1	106	76
2	769	76
0	8385	73

Stop Event

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

Counts

9 → 274

Calls

Call 1

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

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

eval59.0ms (1.1%)

Memory: -15.5MiB live, 87.1MiB allocated
Compiler: Compiled 9 855 to 955 computations (90.3% saved)

prune8.0ms (0.1%)

Memory

-17.7MiB live, 20.9MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	284	1	285
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	285	8	293

Accuracy

100.0%

Counts

293 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.2%	(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
✓	100.0%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
✓	27.9%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
✓	61.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
✓	66.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
▶	42.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
✓	36.0%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
✓	2.9%	#s(approx (+ (* x y) (* (- x 1) z)) z)

Compiler

Compiled 109 to 83 computations (23.9% saved)

simplify22.0ms (0.4%)

Memory

28.5MiB live, 28.5MiB 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) (* (- x 1) z)) (*.f64 y x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	18
0	11	18
1	22	18
2	49	18
3	135	16
4	318	16
5	565	16
6	740	16
7	787	16
0	787	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.4%)

Memory

-3.9MiB live, 34.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 y x)
accuracy	36.818777827575566	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))

Samples

17.0ms

256×

valid

Compiler

Compiled 34 to 21 computations (38.2% saved)

Precisions

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

ival-mult: 5.0ms (49.9% of total)

ival-sub: 4.0ms (39.9% of total)

ival-add: 1.0ms (10% 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

4.6MiB live, 4.6MiB allocated

Counts

2 → 13

Calls

Call 1

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

Outputs
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(* x y)
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -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
1.0ms	x	@	-inf	((+ (* x y) (* (- x 1) z)) (* y x))
0.0ms	y	@	-inf	((+ (* x y) (* (- x 1) z)) (* y x))
0.0ms	x	@	inf	((+ (* x y) (* (- x 1) z)) (* y x))
0.0ms	x	@	0	((+ (* x y) (* (- x 1) z)) (* y x))
0.0ms	y	@	inf	((+ (* x y) (* (- x 1) z)) (* y x))

simplify92.0ms (1.7%)

Memory

-9.8MiB live, 109.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	84
1	163	76
2	594	76
3	1790	76
4	5101	76
0	8163	76

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

rewrite175.0ms (3.2%)

Memory

16.5MiB live, 169.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
0	11	16
1	48	16
2	362	16
3	4676	16
0	8863	15

Stop Event

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

Counts

2 → 13

Calls

Call 1

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

Outputs
#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)))
(+.f64 (cosh.f64 (log.f64 (.f64 y x))) (sinh.f64 (log.f64 (.f64 y x))))

eval3.0ms (0.1%)

Memory: -34.7MiB live, 3.5MiB allocated
Compiler: Compiled 273 to 54 computations (80.2% saved)

prune5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	18	8	26

Accuracy

100.0%

Counts

26 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.2%	(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x)))
✓	100.0%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
✓	27.9%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x z))
✓	61.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
✓	66.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
✓	42.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
✓	36.0%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
✓	2.9%	#s(approx (+ (* x y) (* (- x 1) z)) z)

Compiler

Compiled 255 to 116 computations (54.5% saved)

regimes16.0ms (0.3%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

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

4.0ms	z
4.0ms	y
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
4.0ms	x

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)

regimes28.0ms (0.5%)

Memory

-11.1MiB live, 33.8MiB allocated

Counts

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

4 calls:

18.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
87.0%	3	`x`
80.2%	3	`y`
82.4%	3	`z`
72.5%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.2%)

Memory

-21.7MiB live, 16.9MiB allocated

Counts

4 → 6

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

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

Calls

4 calls:

3.0ms	y
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
49.4%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
56.5%	3	`y`
58.2%	4	`z`
69.5%	6	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB 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)) (*.f64 y x))

Outputs
#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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
63.0%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB 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:

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

Results

Accuracy	Segments	Branch
36.0%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
36.0%	1	`y`
36.0%	1	`z`
36.0%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB 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	y
1.0ms	z

Results

Accuracy	Segments	Branch
2.9%	1	`y`
2.9%	1	`x`
2.9%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
2.9%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch26.0ms (0.5%)

Memory

-32.5MiB live, 45.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.4066601108861485e-43	1.330830461153373e-36
11.0ms	-4.901053772785909e-48	-2.8951505842675217e-49

Samples

13.0ms

256×

valid

Compiler

Compiled 444 to 382 computations (14% saved)

Precisions

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

ival-mult: 3.0ms (47.6% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.5%)

Memory

29.7MiB live, 29.7MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
7.0ms	9.852193505529245e+179	2.8257556772742546e+180
1.0ms	1.4066601108861485e-43	1.330830461153373e-36
1.0ms	-4.901053772785909e-48	-2.8951505842675217e-49
8.0ms	-3.154092592305348e+24	-3.930804672194106e+23
9.0ms	-5.420021162522598e+186	-2.1154848869690252e+185

Samples

14.0ms

288×

valid

Compiler

Compiled 898 to 762 computations (15.1% saved)

Precisions

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

ival-mult: 4.0ms (57% of total)

ival-sub: 1.0ms (14.2% of total)

ival-add: 1.0ms (14.2% 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

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4066601108861485e-43	1.330830461153373e-36
1.0ms	-4.901053772785909e-48	-2.8951505842675217e-49

Compiler

Compiled 412 to 366 computations (11.2% saved)

simplify77.0ms (1.4%)

Memory

-22.9MiB live, 55.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	235
1	48	235
2	50	235
3	56	235
4	71	235
5	84	235
6	98	235
7	112	235
8	115	235

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 -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 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 -440000000000000015184858953109499329633086277146331228778053943006496061713367209987910075598326886785796146149333123997706344490732614673600055334683507634179075105343724658760020393984 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 y x)) (if (<=.f64 x #s(literal -2400000000000000067108864 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (fma.f64 z x z)) (if (<=.f64 x #s(literal -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 y x)) (if (<=.f64 x #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 1400000000000000059016841683970568782372608797025019497096228435498395430943102808577053698175538881217491253565919762016361442207959349786976070336901171013227118409648384535166976 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- x 1) z)) (fma.f64 z x z)))))))
(if (<=.f64 x #s(literal -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 y x)) (if (<=.f64 x #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #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)) z)

Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(if (<=.f64 x #s(literal -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 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 -440000000000000015184858953109499329633086277146331228778053943006496061713367209987910075598326886785796146149333123997706344490732614673600055334683507634179075105343724658760020393984 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 y x)) (if (<=.f64 x #s(literal -2400000000000000067108864 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (fma.f64 z x z)) (if (<=.f64 x #s(literal -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 y x)) (if (<=.f64 x #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 1400000000000000059016841683970568782372608797025019497096228435498395430943102808577053698175538881217491253565919762016361442207959349786976070336901171013227118409648384535166976 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- x 1) z)) (fma.f64 z x z)))))))
(if (<=.f64 x #s(literal -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 y x)) (if (<=.f64 x #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #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)) z)

soundness1.1s (20.8%)

Memory

18.0MiB live, 372.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	112
0	31	112
1	110	112
2	834	96
0	9141	91
0	90	181
1	332	173
2	1103	173
3	3061	173
4	5771	173
5	7893	173
0	8065	168
0	54	113
1	195	105
2	659	105
3	1933	105
4	5114	105
0	8098	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 323 to 134 computations (58.5% saved)

preprocess61.0ms (1.1%)

Memory: -19.8MiB live, 62.1MiB allocated
Compiler: Compiled 488 to 94 computations (80.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	130
0	31	130
1	50	130
2	89	122
3	216	122
4	503	122
5	763	122
6	842	122
7	867	122
8	889	122
9	909	122
10	913	122
0	913	121

Iter	Nodes	Cost
0	22	130
0	31	130
1	50	130
2	89	122
3	216	122
4	503	122
5	763	122
6	842	122
7	867	122
8	889	122
9	909	122
10	913	122
0	913	121

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (26.8%)

explain242.0ms (4.5%)

preprocess106.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify28.0ms (0.5%)

localize39.0ms (0.7%)

series31.0ms (0.6%)

simplify102.0ms (1.9%)

rewrite222.0ms (4.1%)

eval49.0ms (0.9%)

prune38.0ms (0.7%)

simplify40.0ms (0.7%)

localize50.0ms (0.9%)

series12.0ms (0.2%)

simplify452.0ms (8.4%)

rewrite175.0ms (3.2%)

eval132.0ms (2.4%)

prune15.0ms (0.3%)

simplify46.0ms (0.9%)

localize62.0ms (1.1%)

series8.0ms (0.1%)

simplify129.0ms (2.4%)

rewrite198.0ms (3.7%)

eval59.0ms (1.1%)

prune8.0ms (0.1%)

simplify22.0ms (0.4%)

localize23.0ms (0.4%)

series3.0ms (0.1%)

simplify92.0ms (1.7%)

rewrite175.0ms (3.2%)

eval3.0ms (0.1%)

prune5.0ms (0.1%)

regimes16.0ms (0.3%)

regimes28.0ms (0.5%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch26.0ms (0.5%)

bsearch29.0ms (0.5%)

bsearch2.0ms (0%)

simplify77.0ms (1.4%)

soundness1.1s (20.8%)

preprocess61.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	130
0	31	130
1	50	130
2	89	122
3	216	122
4	503	122
5	763	122
6	842	122
7	867	122
8	889	122
9	909	122
10	913	122
0	913	121