Metrics for Linear.V3:cross from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

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)

sample643.0ms (26.8%)

Memory

14.7MiB live, 994.9MiB allocated

Samples

396.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-mult: 152.0ms (77.8% of total)

ival-sub: 35.0ms (17.9% of total)

ival-true: 6.0ms (3.1% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain69.0ms (2.9%)

Memory

10.0MiB live, 127.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`t`
-	-	`(*.f64 z t)`
-	-	`z`
-	-	`(-.f64 (.f64 x y) (.f64 z t))`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

29.0ms

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 (72.1% of total)

ival-sub: 2.0ms (20.6% of total)

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

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

preprocess36.0ms (1.5%)

Memory

-3.2MiB live, 73.0MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
144×	`lower-*.f32`
140×	`lower-*.f64`
124×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	381	102
4	617	102
5	701	102
6	713	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify13.0ms (0.5%)

Memory

-25.4MiB live, 13.6MiB allocated

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))

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
144×	`lower-*.f32`
140×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	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 (0.7%)

Memory

24.1MiB live, 24.1MiB allocated

Localize:

Found 3 expressions of interest:

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

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 (64.4% of total)

ival-sub: 1.0ms (21.5% of total)

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

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

series31.0ms (1.3%)

Memory

-28.7MiB live, 12.5MiB allocated

Counts

3 → 96

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())
#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())

Inputs

#s(alt (-.f64 (*.f64 x y) (*.f64 z t)) (patch (-.f64 (*.f64 x y) (*.f64 z t)) #<representation:binary64>) () ())

#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation:binary64>) () ())

#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation:binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* t (- (/ (* x y) t) z)) (taylor inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) t)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) t)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) t)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (.f64 z t) (patch (.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x y) (.f64 z t)) (patch (-.f64 (.f64 x y) (.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	x	@	-inf	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	x	@	inf	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	z	@	inf	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	t	@	0	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	z	@	-inf	((- (* x y) (* z t)) (* x y) (* z t))

simplify144.0ms (6%)

Memory

3.8MiB live, 170.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 952×	`lower-fma.f64`
5 952×	`lower-fma.f32`
3 064×	`lower-*.f64`
3 064×	`lower-*.f32`
1 336×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	438
1	141	438
2	387	438
3	1317	438
4	3790	438
5	6101	438
6	7969	438
0	8177	438

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite219.0ms (9.1%)

Memory

17.9MiB live, 247.7MiB allocated

Rules

10 966×	`lower-fma.f64`
10 966×	`lower-fma.f32`
4 326×	`lower-*.f32`
4 322×	`lower-*.f64`
3 818×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	30	13
2	207	13
3	1953	13
0	8325	13

Stop Event

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

Counts

3 → 230

Calls

Call 1

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

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

eval55.0ms (2.3%)

Memory: -18.2MiB live, 61.9MiB allocated
Compiler: Compiled 10 118 to 662 computations (93.5% saved)

prune6.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	324	2	326
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	324	3	327

Accuracy

100.0%

Counts

327 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (.f64 x y) (.f64 z t))
▶	46.6%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
▶	56.9%	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify12.0ms (0.5%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
144×	`lower-*.f32`
140×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
0	15	36
1	29	36
2	39	36
3	52	36
4	75	36
5	103	36
6	163	36
7	228	36
8	281	36
9	310	36
10	326	36
0	326	36

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

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

localize49.0ms (2%)

Memory

-1.0MiB live, 37.9MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 t) z)
accuracy	0	(neg.f64 t)
accuracy	34.17869022167388	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
accuracy	0	(*.f64 y x)
accuracy	27.59625634247391	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Samples

18.0ms

256×

valid

Compiler

Compiled 29 to 12 computations (58.6% saved)

Precisions

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

ival-mult: 7.0ms (77% of total)

ival-sub: 1.0ms (11% of total)

ival-neg: 1.0ms (11% of total)

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

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

series11.0ms (0.5%)

Memory

-21.8MiB live, 15.5MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation:binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())
#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())
#s(alt (.f64 (neg.f64 t) z) (patch (.f64 (neg.f64 t) z) #<representation:binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation:binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (.f64 (neg.f64 t) z) (patch (.f64 (neg.f64 t) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (.f64 (neg.f64 t) z) (patch (.f64 (neg.f64 t) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (.f64 (neg.f64 t) z) (patch (.f64 (neg.f64 t) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (.f64 (neg.f64 t) z) (patch (.f64 (neg.f64 t) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation:binary64>) () ())) ())
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation:binary64>) () ())) ())
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation:binary64>) () ())) ())
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation:binary64>) () ())) ())
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#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor 0 x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (- (* x y) (* t z)) (taylor 0 x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 y x)) (patch #s(approx (- ( x y) (* z t)) (*.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) (patch #s(approx (- ( x y) (* z t)) (*.f64 (neg.f64 t) z)) #<representation:binary64>) () ())) ())

Calls

12 calls:

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

simplify132.0ms (5.5%)

Memory

20.3MiB live, 173.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 952×	`lower-fma.f64`
5 952×	`lower-fma.f32`
3 066×	`lower-*.f64`
3 066×	`lower-*.f32`
1 156×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	780
1	141	780
2	387	780
3	1315	780
4	3803	780
5	6120	780
6	7996	780
0	8016	780

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite360.0ms (15%)

Memory

-23.8MiB live, 282.5MiB allocated

Rules

11 084×	`lower-fma.f64`
11 084×	`lower-fma.f32`
4 488×	`lower-*.f32`
4 484×	`lower-*.f64`
4 004×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
0	15	32
1	42	32
2	227	32
3	2107	32
0	8753	32

Stop Event

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

Counts

5 → 98

Calls

Call 1

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

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

eval36.0ms (1.5%)

Memory: -6.5MiB live, 66.3MiB allocated
Compiler: Compiled 2 224 to 358 computations (83.9% saved)

prune14.0ms (0.6%)

Memory

-13.3MiB live, 36.7MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	254	3	257

Accuracy

100.0%

Counts

257 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (.f64 x y) (.f64 z t))
✓	46.6%	#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
✓	56.9%	#s(approx (- (* x y) (* z t)) (*.f64 y x))

Compiler

Compiled 32 to 32 computations (0% saved)

regimes15.0ms (0.6%)

Memory

-0.8MiB live, 36.0MiB allocated

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes11.0ms (0.5%)

Memory

36.7MiB live, 36.7MiB allocated

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 t) z))

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

Calls

7 calls:

2.0ms	y
2.0ms	t
2.0ms	(*.f64 z t)
2.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
75.1%	3	`x`
75.0%	3	`y`
72.6%	3	`z`
75.2%	3	`t`
60.2%	3	`(-.f64 (.f64 x y) (.f64 z t))`
80.3%	3	`(*.f64 x y)`
80.2%	3	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes11.0ms (0.4%)

Memory

-2.9MiB live, 35.1MiB allocated

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:

3.0ms	(*.f64 x y)
1.0ms	(-.f64 (.f64 x y) (.f64 z t))
1.0ms	t
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
56.9%	1	`(-.f64 (.f64 x y) (.f64 z t))`
56.9%	1	`z`
56.9%	1	`y`
56.9%	1	`x`
56.9%	1	`t`
56.9%	1	`(*.f64 z t)`
56.9%	1	`(*.f64 x y)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.73498805094769e-81	1.8212635139607552e-74
0.0ms	-2.7694182693776583e+78	-5.8873620616068365e+60

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify90.0ms (3.7%)

Memory

-23.4MiB live, 60.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	35	64
2	43	64
3	48	64
4	50	64

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x y) #s(literal -2000000000000000016987242867379405952297739849197521231789998205405593811812352 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 y x)) (if (<=.f64 (*.f64 x y) #s(literal 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #s(approx (- (* x y) (* z t)) (*.f64 y x))))

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

Outputs
(-.f64 (.f64 x y) (.f64 z t))
(-.f64 (.f64 y x) (.f64 t z))
(if (<=.f64 (.f64 x y) #s(literal -2000000000000000016987242867379405952297739849197521231789998205405593811812352 binary64)) #s(approx (- ( x y) (* z t)) (.f64 y x)) (if (<=.f64 (.f64 x y) #s(literal 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) #s(approx (- ( x y) (* z t)) (*.f64 y x))))
(if (<=.f64 (.f64 y x) #s(literal -2000000000000000016987242867379405952297739849197521231789998205405593811812352 binary64)) #s(approx (- ( x y) (* z t)) (.f64 y x)) (if (<=.f64 (.f64 y x) #s(literal 5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) #s(approx (- (* x y) (* z t)) (.f64 (neg.f64 t) z)) #s(approx (- ( x y) (* z t)) (*.f64 y x))))
#s(approx (- (* x y) (* z t)) (*.f64 y x))

soundness358.0ms (14.9%)

Memory

2.6MiB live, 111.4MiB allocated

Rules

5 952×	`lower-fma.f64`
5 952×	`lower-fma.f32`
3 064×	`lower-*.f64`
3 064×	`lower-*.f32`
1 336×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	438
1	141	438
2	387	438
3	1317	438
4	3790	438
5	6101	438
6	7969	438
0	8177	438

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 46 to 33 computations (28.3% saved)

preprocess72.0ms (3%)

Memory

-7.5MiB live, 80.4MiB allocated

Remove

(sort z t)

(sort x y)

Compiler

Compiled 142 to 104 computations (26.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	381	102
4	617	102
5	701	102
6	713	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	12	36
0	15	36
1	29	36
2	39	36
3	52	36
4	75	36
5	103	36
6	163	36
7	228	36
8	281	36
9	310	36
10	326	36
0	326	36

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	381	102
4	617	102
5	701	102
6	713	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	12	36
0	15	36
1	29	36
2	39	36
3	52	36
4	75	36
5	103	36
6	163	36
7	228	36
8	281	36
9	310	36
10	326	36
0	326	36

start0.0ms (0%)

analyze0.0ms (0%)

sample643.0ms (26.8%)

explain69.0ms (2.9%)

preprocess36.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify13.0ms (0.5%)

localize16.0ms (0.7%)

series31.0ms (1.3%)

simplify144.0ms (6%)

rewrite219.0ms (9.1%)

eval55.0ms (2.3%)

prune6.0ms (0.2%)

simplify12.0ms (0.5%)

localize49.0ms (2%)

series11.0ms (0.5%)

simplify132.0ms (5.5%)

rewrite360.0ms (15%)

eval36.0ms (1.5%)

prune14.0ms (0.6%)

regimes15.0ms (0.6%)

regimes11.0ms (0.5%)

regimes11.0ms (0.4%)

bsearch1.0ms (0%)

simplify90.0ms (3.7%)

soundness358.0ms (14.9%)

preprocess72.0ms (3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	381	102
4	617	102
5	701	102
6	713	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	217	7
8	277	7
9	306	7
10	322	7
0	322	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	12	36
0	15	36
1	29	36
2	39	36
3	52	36
4	75	36
5	103	36
6	163	36
7	228	36
8	281	36
9	310	36
10	326	36
0	326	36