Metrics for Linear.V3:cross from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample670.0ms (24.7%)

Memory

40.1MiB live, 682.5MiB allocated; 108ms collecting garbage

Samples

412.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-mult: 133.0ms (62.4% of total)

ival-sub: 70.0ms (32.9% of total)

ival-true: 5.0ms (2.3% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain77.0ms (2.9%)

Memory

-10.7MiB live, 104.6MiB allocated; 33ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(-.f64 (.f64 x y) (.f64 z t))`
0	-	-	`y`
0	-	-	`t`
0	-	-	`(*.f64 z t)`
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 z t))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	25
↳	`(*.f64 z t)`	overflow	31

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

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

ival-mult: 7.0ms (71.2% of total)

ival-sub: 2.0ms (20.4% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess21.0ms (0.8%)

Memory

-19.3MiB live, 28.4MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	102
1	66	102
2	123	102
3	190	102
4	214	102
5	217	102
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 z t))

Outputs
(-.f64 (.f64 x y) (.f64 z t))
(fma.f64 (neg.f64 t) z (*.f64 y x))

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z t)
cost-diff	0	(*.f64 x y)
cost-diff	0	(-.f64 (.f64 x y) (.f64 z t))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	15	17
2	24	17
3	40	17
4	58	17
5	70	17
6	74	17
7	77	17
0	77	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t

Outputs
(-.f64 (.f64 x y) (.f64 z t))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z t)
(*.f64 t z)
z
t

localize16.0ms (0.6%)

Memory

29.7MiB live, 29.7MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z t)
accuracy	0.0	(*.f64 x y)
accuracy	0.40625000000000006	(-.f64 (.f64 x y) (.f64 z t))

Samples

12.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-mult: 3.0ms (65.6% of total)

ival-sub: 1.0ms (21.9% of total)

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

adjust: 0.0ms (0% of total)

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

series66.0ms (2.4%)

Memory

-32.9MiB live, 13.5MiB allocated; 5ms collecting garbage

Counts

3 → 13

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
(*.f64 z t)

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

Calls

12 calls:

Time	Variable		Point	Expression
58.0ms	x	@	0	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	x	@	inf	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	t	@	inf	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	x	@	-inf	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	y	@	inf	((- (* x y) (* z t)) (* x y) (* z t))

simplify113.0ms (4.2%)

Memory

31.1MiB live, 125.9MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	80
1	140	80
2	425	80
3	1444	80
4	3143	80
5	5140	80
6	6919	80
7	7366	80
0	8080	80

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

Outputs
(* -1 (* t z))
(*.f64 (neg.f64 z) t)
(- (* x y) (* t z))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (* -1 (/ (* t z) x))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* y (+ x (* -1 (/ (* t z) y))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(+ (* -1 (* t z)) (* x y))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* t z)
(*.f64 t z)
(* z (- (/ (* x y) z) t))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* t (- (/ (* x y) t) z))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(fma.f64 (neg.f64 z) t (*.f64 y x))

rewrite209.0ms (7.7%)

Memory

10.3MiB live, 240.7MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	28	13
2	189	13
3	1896	13
0	8610	13

Stop Event

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

Counts

3 → 320

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
(*.f64 z t)

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 t z)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 t z)) (-.f64 (.f64 (fma.f64 t z (.f64 y x)) (.f64 t z)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (.f64 t z)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 t z) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 t z) #s(literal 3 binary64)))) (fma.f64 (.f64 t z) (-.f64 (.f64 t z) (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (fma.f64 t z (.f64 y x)) (/.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (fma.f64 t z (.f64 y x))))
(.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 y) x (.f64 t z)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 t)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 (neg.f64 t)) z) (.f64 (neg.f64 (neg.f64 t)) z) (.f64 (.f64 y x) (.f64 (neg.f64 (neg.f64 t)) z)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 t) (neg.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 t) (neg.f64 z)) (.f64 (neg.f64 t) (neg.f64 z)) (.f64 (.f64 y x) (.f64 (neg.f64 t) (neg.f64 z))))))
(/.f64 (-.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 z) t) (*.f64 (neg.f64 y) x)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 t z) #s(literal 6 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (fma.f64 t z (*.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (*.f64 t z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (*.f64 t z)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 t z) #s(literal 6 binary64)) (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (.f64 (fma.f64 t z (.f64 y x)) (pow.f64 (.f64 t z) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 t z) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 t z (*.f64 y x)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 t z (.f64 y x))) (.f64 (fma.f64 t z (.f64 y x)) (neg.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64))))) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 t z (.f64 y x))) (.f64 (fma.f64 t z (.f64 y x)) (pow.f64 (.f64 t z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (.f64 (fma.f64 t z (.f64 y x)) (neg.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64))))) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)))
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(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 t (.f64 y x)) (neg.f64 z))))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 t (.f64 y x)) (neg.f64 z))))))
(+.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (.f64 (neg.f64 (.f64 (.f64 t t) z)) z) (fma.f64 t z (.f64 y x))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (.f64 (neg.f64 (.f64 (.f64 z z) t)) t) (fma.f64 t z (.f64 y x))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (.f64 (neg.f64 (.f64 t t)) (.f64 z z)) (fma.f64 t z (.f64 y x))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (.f64 (neg.f64 (.f64 z z)) (.f64 t t)) (fma.f64 t z (.f64 y x))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (.f64 (neg.f64 t) (.f64 (.f64 z z) t)) (fma.f64 t z (.f64 y x))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))
(+.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 t z) #s(literal 3/2 binary64))) (pow.f64 (.f64 t z) #s(literal 3/2 binary64))) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64))) (.f64 t z)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 t z) #s(literal 3/2 binary64))) (pow.f64 (.f64 t z) #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64))) (.f64 t z)) (neg.f64 (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (.f64 y x)) (.f64 t z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(+.f64 (.f64 (neg.f64 y) x) (.f64 t z))
(+.f64 (.f64 (neg.f64 z) t) (.f64 y x))
(+.f64 (.f64 y x) (.f64 (neg.f64 z) t))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 y)))
(.f64 (sqrt.f64 (neg.f64 (.f64 (neg.f64 y) x))) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 y) x))))
(.f64 (sqrt.f64 (.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)))
(.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (*.f64 x x) y)))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 y y) x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 y))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 y) x)))
(fabs.f64 (*.f64 (neg.f64 y) x))
(fabs.f64 (*.f64 y x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 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))))
(*.f64 (fabs.f64 (fabs.f64 t)) (fabs.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 t)))
(.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 z) t) (neg.f64 z))) (sqrt.f64 t))
(.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 z) t) t)) (sqrt.f64 (neg.f64 z)))
(.f64 (sqrt.f64 (.f64 (neg.f64 z) t)) (sqrt.f64 (*.f64 (neg.f64 z) t)))
(.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (.f64 t (*.f64 (neg.f64 z) t))))
(.f64 (sqrt.f64 (.f64 t z)) (sqrt.f64 (*.f64 t z)))
(.f64 (sqrt.f64 (.f64 (*.f64 z z) t)) (sqrt.f64 t))
(.f64 (sqrt.f64 t) (sqrt.f64 (.f64 (neg.f64 z) (*.f64 (neg.f64 z) t))))
(.f64 (sqrt.f64 t) (sqrt.f64 (.f64 (*.f64 z z) t)))
(.f64 (sqrt.f64 (.f64 (*.f64 t t) z)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (*.f64 t t) z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t)))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 t #s(literal 1 binary64)))
(*.f64 (fabs.f64 t) (fabs.f64 z))
(*.f64 (fabs.f64 z) (fabs.f64 t))
(*.f64 t z)
(*.f64 z t)
(pow.f64 (*.f64 (neg.f64 z) t) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 t z) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 z) t))
(sqrt.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 z) t))
(fabs.f64 (*.f64 t z))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 t z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 t z)))
(+.f64 (cosh.f64 (log.f64 (.f64 t z))) (sinh.f64 (log.f64 (.f64 t z))))

eval64.0ms (2.4%)

Memory: -29.2MiB live, 62.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 11 934 to 747 computations (93.7% saved)

prune6.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	322	2	324
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	323	2	325

Accuracy

100.0%

Counts

325 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (*.f64 (neg.f64 z) t))
▶	52.7%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify5.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
0	15	37
1	24	37
2	40	37
3	57	37
4	77	37
5	81	37
6	84	37
0	84	37

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
(*.f64 (neg.f64 z) t)
(neg.f64 z)
z
t
(fma.f64 y x (*.f64 (neg.f64 z) t))
y
x
(*.f64 (neg.f64 z) t)
(neg.f64 z)
z
t

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

localize39.0ms (1.4%)

Memory

15.8MiB live, 93.8MiB allocated; 19ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x (*.f64 (neg.f64 z) t))
accuracy	0.0	(*.f64 (neg.f64 z) t)
accuracy	0.0	(neg.f64 z)
accuracy	0.0	(*.f64 (neg.f64 z) t)
accuracy	0.0	(neg.f64 z)
accuracy	30.270339137615053	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))

Samples

32.0ms

256×

valid

Compiler

Compiled 35 to 13 computations (62.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 12.0ms (77.3% of total)

ival-sub: 1.0ms (6.4% of total)

ival-add: 1.0ms (6.4% of total)

ival-neg: 1.0ms (6.4% of total)

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

adjust: 0.0ms (0% of total)

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

series10.0ms (0.4%)

Memory

-26.1MiB live, 14.8MiB allocated; 12ms collecting garbage

Counts

4 → 17

Calls

Call 1

Inputs
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
(*.f64 (neg.f64 z) t)
(neg.f64 z)
(fma.f64 y x (*.f64 (neg.f64 z) t))

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

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	((- (* x y) (* z t)) (* (neg z) t) (neg z) (+ (* y x) (* (neg z) t)))
1.0ms	z	@	inf	((- (* x y) (* z t)) (* (neg z) t) (neg z) (+ (* y x) (* (neg z) t)))
1.0ms	t	@	0	((- (* x y) (* z t)) (* (neg z) t) (neg z) (+ (* y x) (* (neg z) t)))
1.0ms	z	@	0	((- (* x y) (* z t)) (* (neg z) t) (neg z) (+ (* y x) (* (neg z) t)))
0.0ms	t	@	inf	((- (* x y) (* z t)) (* (neg z) t) (neg z) (+ (* y x) (* (neg z) t)))

simplify223.0ms (8.2%)

Memory

0.8MiB live, 242.3MiB allocated; 113ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	107
1	190	107
2	593	107
3	1909	107
4	3757	107
5	5730	107
6	6987	107
7	7415	107
0	8111	107

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

Outputs
(* -1 (* t z))
(*.f64 (neg.f64 t) z)
(- (* x y) (* t z))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(+ (* -1 (* t z)) (* x y))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (* -1 (/ (* t z) x))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* y (+ x (* -1 (/ (* t z) y))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 z)
(neg.f64 z)
(* z (- (/ (* x y) z) t))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* z (+ (* -1 t) (/ (* x y) z)))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* z (+ t (* -1 (/ (* x y) z)))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* t (- (/ (* x y) t) z))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* t (+ (* -1 z) (/ (* x y) t)))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(* -1 (* t (+ z (* -1 (/ (* x y) t)))))
(fma.f64 (neg.f64 t) z (*.f64 y x))

rewrite149.0ms (5.5%)

Memory

29.5MiB live, 178.8MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	25
0	15	25
1	54	25
2	335	25
3	3508	21
0	8612	21

Stop Event

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

Counts

4 → 270

Calls

Call 1

Inputs
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
(*.f64 (neg.f64 z) t)
(neg.f64 z)
(fma.f64 y x (*.f64 (neg.f64 z) t))

Outputs
#s(approx (- (* x y) (* z t)) (*.f64 t z))
(*.f64 (fabs.f64 (fabs.f64 t)) (fabs.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 t)))
(.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 (.f64 (*.f64 t z) z)))
(.f64 (sqrt.f64 (.f64 (*.f64 t t) z)) (sqrt.f64 (neg.f64 z)))
(.f64 (sqrt.f64 (.f64 (*.f64 t t) z)) (sqrt.f64 z))
(.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (.f64 (*.f64 t t) z)))
(.f64 (sqrt.f64 (.f64 t z)) (sqrt.f64 (*.f64 t z)))
(.f64 (sqrt.f64 (.f64 (*.f64 t z) z)) (sqrt.f64 (neg.f64 t)))
(.f64 (sqrt.f64 (.f64 (*.f64 t z) z)) (sqrt.f64 t))
(.f64 (sqrt.f64 t) (sqrt.f64 (.f64 (*.f64 t z) z)))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (*.f64 t t) z)))
(*.f64 (exp.f64 (log.f64 (neg.f64 t))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 (neg.f64 z))) (exp.f64 (log.f64 t)))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 (neg.f64 z))))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (neg.f64 t))))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t)))
(*.f64 (neg.f64 (neg.f64 t)) z)
(*.f64 (fabs.f64 t) (fabs.f64 z))
(*.f64 (fabs.f64 z) (fabs.f64 t))
(*.f64 (neg.f64 t) (neg.f64 z))
(*.f64 (neg.f64 t) z)
(*.f64 (neg.f64 z) (neg.f64 t))
(*.f64 (neg.f64 z) t)
(*.f64 t (neg.f64 z))
(*.f64 t z)
(*.f64 z (neg.f64 (neg.f64 t)))
(*.f64 z (neg.f64 t))
(*.f64 z t)
(pow.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 t z) #s(literal 1 binary64))
(neg.f64 (*.f64 t z))
(sqrt.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 t z))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 t z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 t z)))
(+.f64 (cosh.f64 (log.f64 (.f64 t z))) (sinh.f64 (log.f64 (.f64 t z))))
(neg.f64 z)
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(fma.f64 z t (*.f64 (neg.f64 y) x))
(fma.f64 z t (*.f64 y x))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))
(fma.f64 y (neg.f64 x) (*.f64 t z))
(fma.f64 y x (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 z)))
(fma.f64 y x (*.f64 t z))
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))
(fma.f64 x (neg.f64 y) (*.f64 t z))
(fma.f64 x y (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 z)))
(fma.f64 x y (*.f64 t z))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 t z) x) y (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 t z) x) y (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))
(-.f64 (.f64 y x) (.f64 (neg.f64 (neg.f64 t)) (neg.f64 z)))
(-.f64 (.f64 y x) (.f64 t z))
(-.f64 (.f64 t z) (.f64 (neg.f64 y) x))
(-.f64 (.f64 t z) (.f64 y x))
(+.f64 (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 t z) x) y (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 t z) x) y (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 t z) x) y (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 t z) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 t z) x) y (pow.f64 (fma.f64 t z (.f64 y x)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))) (/.f64 (pow.f64 (.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (.f64 y x))))
(+.f64 (.f64 (neg.f64 y) x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 (neg.f64 (neg.f64 t)) (neg.f64 z)))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 t z) (.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 (.f64 t z) (.f64 (neg.f64 (neg.f64 x)) y))
(+.f64 (.f64 t z) (.f64 (neg.f64 y) x))
(+.f64 (.f64 t z) (.f64 y x))

eval32.0ms (1.2%)

Memory: 4.9MiB live, 50.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 032 to 554 computations (90.8% saved)

prune26.0ms (1%)

Memory

-28.1MiB live, 24.9MiB allocated; 10ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	314	1	315
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	314	3	317

Accuracy

100.0%

Counts

317 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (*.f64 (neg.f64 z) t))
✓	52.7%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
▶	51.4%	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Compiler

Compiled 30 to 26 computations (13.3% saved)

simplify5.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

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) (* z t)) (*.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	15	16
2	24	16
3	40	16
4	58	16
5	70	16
6	74	16
7	77	16
0	77	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.6%)

Memory

21.4MiB live, 21.4MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y x)
accuracy	31.079134632455368	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Samples

13.0ms

256×

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

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

ival-mult: 5.0ms (84.8% of total)

ival-sub: 1.0ms (17% of total)

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

adjust: 0.0ms (0% of total)

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

series23.0ms (0.9%)

Memory

-38.5MiB live, 6.7MiB allocated; 8ms collecting garbage

Counts

2 → 12

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	((- (* x y) (* z t)) (* y x))
0.0ms	y	@	-inf	((- (* x y) (* z t)) (* y x))
0.0ms	x	@	0	((- (* x y) (* z t)) (* y x))
0.0ms	y	@	inf	((- (* x y) (* z t)) (* y x))
0.0ms	x	@	inf	((- (* x y) (* z t)) (* y x))

simplify115.0ms (4.3%)

Memory

46.3MiB live, 131.7MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	77
1	140	77
2	425	77
3	1443	77
4	3145	77
5	5135	77
6	6920	77
7	7369	77
0	8079	77

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

Outputs
(* -1 (* t z))
(*.f64 (neg.f64 z) t)
(- (* x y) (* t z))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ y (* -1 (/ (* t z) x))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* y (+ x (* -1 (/ (* t z) y))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(+ (* -1 (* t z)) (* x y))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* z (- (/ (* x y) z) t))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* t (- (/ (* x y) t) z))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(fma.f64 (neg.f64 z) t (*.f64 y x))

rewrite255.0ms (9.4%)

Memory

-13.6MiB live, 239.3MiB allocated; 110ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
0	10	14
1	28	14
2	189	14
3	1912	14
0	8599	14

Stop Event

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

Counts

2 → 29

Calls

Call 1

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

Outputs
#s(approx (- (* x y) (* z t)) (*.f64 y x))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 y)))
(.f64 (sqrt.f64 (neg.f64 (.f64 (neg.f64 y) x))) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 y) x))))
(.f64 (sqrt.f64 (.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)))
(.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (*.f64 x x) y)))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 y y) x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 y))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 y) x)))
(fabs.f64 (*.f64 (neg.f64 y) x))
(fabs.f64 (*.f64 y x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 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: 7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 475 to 105 computations (77.9% saved)

prune8.0ms (0.3%)

Memory

-40.9MiB live, 6.2MiB allocated; 11ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	32	3	35

Accuracy

100.0%

Counts

35 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (*.f64 (neg.f64 z) t))
✓	52.7%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
✓	51.4%	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Compiler

Compiled 67 to 42 computations (37.3% saved)

regimes13.0ms (0.5%)

Memory

33.0MiB live, 33.0MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* x y) (* z t)) (*.f64 y x))
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
(-.f64 (.f64 x y) (.f64 z t))
(fma.f64 y x (*.f64 (neg.f64 z) t))

Outputs
(fma.f64 y x (*.f64 (neg.f64 z) t))

Calls

7 calls:

2.0ms	y
2.0ms	x
2.0ms	t
2.0ms	z
2.0ms	(-.f64 (.f64 x y) (.f64 z t))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 z t)`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(-.f64 (.f64 x y) (.f64 z t))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes14.0ms (0.5%)

Memory

-16.5MiB live, 29.0MiB allocated; 5ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

Outputs
(-.f64 (.f64 x y) (.f64 z t))

Calls

7 calls:

5.0ms	y
2.0ms	x
2.0ms	t
2.0ms	z
1.0ms	(-.f64 (.f64 x y) (.f64 z t))

Results

Accuracy	Segments	Branch
99.2%	1	`(*.f64 z t)`
99.2%	1	`(*.f64 x y)`
99.2%	1	`(-.f64 (.f64 x y) (.f64 z t))`
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`t`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes9.0ms (0.3%)

Memory

25.3MiB live, 25.3MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	y
1.0ms	(*.f64 z t)
1.0ms	x
1.0ms	t
1.0ms	z

Results

Accuracy	Segments	Branch
83.1%	3	`(*.f64 z t)`
80.9%	3	`(*.f64 x y)`
62.2%	5	`(-.f64 (.f64 x y) (.f64 z t))`
75.5%	3	`x`
74.7%	3	`y`
75.3%	3	`z`
76.5%	3	`t`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes10.0ms (0.4%)

Memory

-24.0MiB live, 21.6MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	(*.f64 x y)
1.0ms	t
1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
51.4%	1	`(-.f64 (.f64 x y) (.f64 z t))`
51.4%	1	`y`
51.4%	1	`z`
51.4%	1	`x`
51.4%	1	`t`
51.4%	1	`(*.f64 x y)`
51.4%	1	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5801692220012825e+27	4.0139598253764658e+31
0.0ms	-4.261169884704225e-86	-1.519582634190365e-93

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify12.0ms (0.4%)

Memory

24.9MiB live, 24.9MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	61
1	37	61
2	52	61
3	73	61
4	92	61
5	104	61
6	108	61
7	111	61

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 (neg.f64 z) t))
(-.f64 (.f64 x y) (.f64 z t))
(if (<=.f64 (.f64 z t) #s(literal -5599361855444511/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) #s(approx (- ( x y) (* z t)) (.f64 (neg.f64 z) t)) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000026575110144 binary64)) #s(approx (- (* x y) (* z t)) (.f64 y x)) #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 z) t))))
#s(approx (- (* x y) (* z t)) (*.f64 y x))

Outputs
(fma.f64 y x (*.f64 (neg.f64 z) t))
(-.f64 (.f64 x y) (.f64 z t))
(if (<=.f64 (.f64 z t) #s(literal -5599361855444511/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) #s(approx (- ( x y) (* z t)) (.f64 (neg.f64 z) t)) (if (<=.f64 (.f64 z t) #s(literal 2000000000000000026575110144 binary64)) #s(approx (- (* x y) (* z t)) (.f64 y x)) #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 z) t))))
(if (or (<=.f64 (.f64 z t) #s(literal -5599361855444511/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (not (<=.f64 (.f64 z t) #s(literal 2000000000000000026575110144 binary64)))) #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 z) t)) #s(approx (- ( x y) (* z t)) (*.f64 y x)))
#s(approx (- (* x y) (* z t)) (*.f64 y x))

derivations410.0ms (15.1%)

Memory

-8.9MiB live, 326.6MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	107
1	190	107
2	593	107
3	1909	107
4	3757	107
5	5730	107
6	6987	107
7	7415	107
0	8111	107
0	42	80
1	140	80
2	425	80
3	1444	80
4	3143	80
5	5140	80
6	6919	80
7	7366	80
0	8080	80
0	7	13
0	10	13
1	28	13
2	189	13
3	1896	13
0	8610	13

Stop Event

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

Compiler

Compiled 61 to 23 computations (62.3% saved)

preprocess81.0ms (3%)

Memory

-4.6MiB live, 97.1MiB allocated; 11ms collecting garbage

Remove

(sort z t)

(sort x y)

Compiler

Compiled 192 to 116 computations (39.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	36	102
1	66	102
2	123	102
3	190	102
4	214	102
5	217	102
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7

Iter	Nodes	Cost
0	36	102
1	66	102
2	123	102
3	190	102
4	214	102
5	217	102
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7

start0.0ms (0%)

analyze0.0ms (0%)

sample670.0ms (24.7%)

explain77.0ms (2.9%)

preprocess21.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.2%)

localize16.0ms (0.6%)

series66.0ms (2.4%)

simplify113.0ms (4.2%)

rewrite209.0ms (7.7%)

eval64.0ms (2.4%)

prune6.0ms (0.2%)

simplify5.0ms (0.2%)

localize39.0ms (1.4%)

series10.0ms (0.4%)

simplify223.0ms (8.2%)

rewrite149.0ms (5.5%)

eval32.0ms (1.2%)

prune26.0ms (1%)

simplify5.0ms (0.2%)

localize17.0ms (0.6%)

series23.0ms (0.9%)

simplify115.0ms (4.3%)

rewrite255.0ms (9.4%)

eval3.0ms (0.1%)

prune8.0ms (0.3%)

regimes13.0ms (0.5%)

regimes14.0ms (0.5%)

regimes9.0ms (0.3%)

regimes10.0ms (0.4%)

bsearch1.0ms (0%)

simplify12.0ms (0.4%)

derivations410.0ms (15.1%)

preprocess81.0ms (3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	102
1	66	102
2	123	102
3	190	102
4	214	102
5	217	102
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7