Linear.V3:cross from linear-1.19.1.3

Time bar (total: 2.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample1.0s (36.6%)

Memory
-5.5MiB live, 868.4MiB allocated
Samples
602.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-mult: 136.0ms (76% of total)
ival-sub: 34.0ms (19% of total)
ival-true: 6.0ms (3.4% of total)
ival-assert: 3.0ms (1.7% of total)
Bogosity

explain65.0ms (2.3%)

Memory
-2.3MiB live, 155.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(-.f64 (*.f64 x y) (*.f64 z t))
00-0-y
00-0-t
00-0-(*.f64 z t)
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 x y) (*.f64 z t))nan-rescue10
(*.f64 x y)overflow31
(*.f64 z t)overflow26
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms512×0valid
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 (70.4% of total)
ival-sub: 2.0ms (20.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess36.0ms (1.3%)

Memory
7.5MiB live, 84.3MiB allocated
Algorithm
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)

IterNodesCost
036102
1103102
2183102
3381102
4617102
5701102
6713102
077
0107
1177
2297
3417
4627
5927
61507
72177
82777
93067
103227
03227
Stop Event
iter limit
saturated
iter limit
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
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify11.0ms (0.4%)

Memory
29.1MiB live, 29.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z t)
cost-diff0
(*.f64 x y)
cost-diff0
(-.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)

IterNodesCost
0717
01017
11717
22917
34117
46217
59217
615017
721717
827717
930617
1032217
032217
Stop Event
iter limit
saturated
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

localize25.0ms (0.9%)

Memory
-13.4MiB live, 37.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z t)
accuracy0
(*.f64 x y)
accuracy0.20312500000000003
(-.f64 (*.f64 x y) (*.f64 z t))
Samples
21.0ms256×0valid
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 11.0ms (92.2% of total)
ival-sub: 1.0ms (8.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.8%)

Memory
-21.2MiB live, 17.2MiB 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>) () ())
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:

TimeVariablePointExpression
15.0ms
y
@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
y
@-inf
((- (* x y) (* z t)) (* x y) (* z t))

simplify113.0ms (4%)

Memory
32.5MiB live, 188.3MiB allocated
Algorithm
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)

IterNodesCost
042438
1141438
2387438
31317438
43790438
56101438
67969438
08177438
Stop Event
iter limit
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)

rewrite235.0ms (8.3%)

Memory
-15.9MiB live, 329.4MiB 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)

IterNodesCost
0713
01013
13013
220713
3195313
0832513
Stop Event
iter limit
node limit
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 (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 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 (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 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 (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #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 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 t z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) x) y) #s(literal 2 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)))) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.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 (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 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 t z (*.f64 y x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 t z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) x) y) #s(literal 2 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 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 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 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 (*.f64 t z) #s(literal 9 binary64))) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 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 (-.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 (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))) (/.f64 #s(literal 1 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 (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 (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 #s(literal 1 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 (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 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #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 (+.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)))))
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eval79.0ms (2.8%)

Memory
12.0MiB live, 169.9MiB allocated
Compiler

Compiled 10 426 to 664 computations (93.6% saved)

prune8.0ms (0.3%)

Memory
-5.9MiB live, 33.0MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3233326
Fresh000
Picked101
Done000
Total3243327
Accuracy
100.0%
Counts
327 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (neg.f64 z) t (*.f64 y x))
50.9%
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
53.0%
#s(approx (- (* x y) (* z t)) (*.f64 y x))
Compiler

Compiled 16 to 20 computations (-25% saved)

simplify15.0ms (0.5%)

Memory
-1.2MiB live, 46.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) t (*.f64 y x))
cost-diff0
(neg.f64 t)
cost-diff0
(*.f64 (neg.f64 t) z)
cost-diff0
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (- (* x y) (* z t)) (*.f64 y x))
Rules
208×lower-fma.f32
206×lower-fma.f64
144×lower-*.f32
140×lower-*.f64
64×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01452
02052
13652
24452
36152
48352
511052
617352
723252
828552
931452
1033052
033052
Stop Event
iter limit
saturated
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
(fma.f64 (neg.f64 z) t (*.f64 y x))
(neg.f64 z)
z
t
(*.f64 y x)
y
x
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))
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
(*.f64 (neg.f64 t) z)
(*.f64 (neg.f64 z) t)
(neg.f64 t)
t
z
(fma.f64 (neg.f64 z) t (*.f64 y x))
(neg.f64 z)
z
t
(*.f64 y x)
y
x

localize39.0ms (1.4%)

Memory
5.0MiB live, 83.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (neg.f64 z) t (*.f64 y x))
accuracy0
(*.f64 y x)
accuracy0
(neg.f64 z)
accuracy0
(*.f64 (neg.f64 t) z)
accuracy0
(neg.f64 t)
accuracy31.40113656058948
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
accuracy0
(*.f64 y x)
accuracy30.079405218674015
#s(approx (- (* x y) (* z t)) (*.f64 y x))
Samples
31.0ms256×0valid
Compiler

Compiled 46 to 15 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (68.2% of total)
ival-neg: 2.0ms (15.2% of total)
ival-sub: 1.0ms (7.6% of total)
ival-add: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series44.0ms (1.5%)

Memory
-14.4MiB live, 25.1MiB allocated
Counts
7 → 216
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>) () ())
#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<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 (* x y) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<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>) () ())) ())
#s(alt (* t (- (/ (* x y) 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>) () ())) ())
#s(alt (* t (- (/ (* x y) 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>) () ())) ())
#s(alt (* t (- (/ (* x y) 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>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf 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 (* t (- (/ (* x y) t) z)) (taylor inf 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 (* t (- (/ (* x y) t) z)) (taylor inf 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 (* t (- (/ (* x y) t) z)) (taylor inf 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 inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1 z) (/ (* x y) t))) (taylor inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1 z) (/ (* x y) t))) (taylor inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1 z) (/ (* x y) t))) (taylor inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<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>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 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>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 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>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 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>) () ())) ())
#s(alt (* -1 (* t z)) (taylor -inf 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 (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf 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 (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf 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 (- (* -1 (/ (* x y) t)) (* -1 z)))) (taylor -inf 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 -inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor -inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor -inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor -inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor -inf t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ z (* -1 (/ (* x y) t))))) (taylor -inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ z (* -1 (/ (* x y) t))))) (taylor -inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ z (* -1 (/ (* x y) t))))) (taylor -inf t) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#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 z) (#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 z) (#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 z) (#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 z) (#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 z) (#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 z) (#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 z) (#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 z) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf z) (#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 (* z (- (/ (* x y) z) t)) (taylor inf z) (#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 (* z (- (/ (* x y) z) t)) (taylor inf z) (#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 (* z (- (/ (* x y) z) t)) (taylor inf z) (#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 (* -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 (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* t z) x)))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<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>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) t (*.f64 y x)) (patch (fma.f64 (neg.f64 z) t (*.f64 y x)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
1.0ms
t
@inf
((- (* x y) (* z t)) (* y x) (- (* x y) (* z t)) (* (neg t) z) (neg t) (+ (* (neg z) t) (* y x)) (neg z))
1.0ms
z
@-inf
((- (* x y) (* z t)) (* y x) (- (* x y) (* z t)) (* (neg t) z) (neg t) (+ (* (neg z) t) (* y x)) (neg z))
1.0ms
t
@0
((- (* x y) (* z t)) (* y x) (- (* x y) (* z t)) (* (neg t) z) (neg t) (+ (* (neg z) t) (* y x)) (neg z))
1.0ms
z
@inf
((- (* x y) (* z t)) (* y x) (- (* x y) (* z t)) (* (neg t) z) (neg t) (+ (* (neg z) t) (* y x)) (neg z))
1.0ms
t
@-inf
((- (* x y) (* z t)) (* y x) (- (* x y) (* z t)) (* (neg t) z) (neg t) (+ (* (neg z) t) (* y x)) (neg z))

simplify163.0ms (5.7%)

Memory
35.0MiB live, 107.4MiB allocated
Algorithm
egg-herbie
Rules
3 984×lower-fma.f64
3 984×lower-fma.f32
3 832×lower-/.f32
3 832×lower-/.f64
2 448×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0521098
11851098
24951098
315861098
436471098
554151098
659861098
760301098
860481098
960521098
1070921098
088881098
Stop Event
iter limit
node limit
Counts
216 → 216
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)
(* x y)
(+ (* -1 (* t z)) (* x y))
(+ (* -1 (* t z)) (* x y))
(+ (* -1 (* t z)) (* x y))
(* -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))
(* t (+ (* -1 z) (/ (* x y) t)))
(* t (+ (* -1 z) (/ (* x y) t)))
(* t (+ (* -1 z) (/ (* x y) 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)
(* -1 (* t z))
(* -1 (* t (+ z (* -1 (/ (* x y) t)))))
(* -1 (* t (+ z (* -1 (/ (* x y) t)))))
(* -1 (* t (+ z (* -1 (/ (* x y) 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))
(* x y)
(+ (* -1 (* t z)) (* x y))
(+ (* -1 (* t z)) (* x y))
(+ (* -1 (* t z)) (* x y))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 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))
(* z (+ (* -1 t) (/ (* x y) z)))
(* z (+ (* -1 t) (/ (* x y) z)))
(* z (+ (* -1 t) (/ (* x y) z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 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))
(* -1 (* z (+ t (* -1 (/ (* x y) z)))))
(* -1 (* z (+ t (* -1 (/ (* x y) z)))))
(* -1 (* z (+ t (* -1 (/ (* x y) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 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))
(* -1 (* t z))
(+ (* -1 (* t z)) (* x y))
(+ (* -1 (* t z)) (* x y))
(+ (* -1 (* t z)) (* 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)
(* y (+ x (* -1 (/ (* t z) y))))
(* y (+ x (* -1 (/ (* t z) y))))
(* y (+ x (* -1 (/ (* t z) 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))))
(* 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))
(* -1 (* t z))
(+ (* -1 (* t z)) (* x y))
(+ (* -1 (* t z)) (* x y))
(+ (* -1 (* t z)) (* 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)
(* x (+ y (* -1 (/ (* t z) x))))
(* x (+ y (* -1 (/ (* t z) x))))
(* x (+ y (* -1 (/ (* t z) x))))
(* 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))))
(* 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)
(* 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)
(* 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)
(* t (+ (* -1 z) (/ (* x y) t)))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* t (+ (* -1 z) (/ (* x y) t)))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* t (+ (* -1 z) (/ (* x y) t)))
(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 (- (* -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)
(* -1 (* t z))
(*.f64 (neg.f64 z) t)
(* -1 (* t (+ z (* -1 (/ (* x y) t)))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* t (+ z (* -1 (/ (* x y) t)))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* t (+ z (* -1 (/ (* x y) t)))))
(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))
(* 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)
(* 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 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -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)
(* z (+ (* -1 t) (/ (* x y) z)))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* z (+ (* -1 t) (/ (* x y) z)))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* z (+ (* -1 t) (/ (* x y) z)))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -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)
(* -1 (* z (+ t (* -1 (/ (* x y) z)))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* z (+ t (* -1 (/ (* x y) z)))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* z (+ t (* -1 (/ (* x y) z)))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -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))
(* -1 (* t z))
(*.f64 (neg.f64 z) t)
(+ (* -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)
(* 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)
(* 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))
(* 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)
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(*.f64 y x)
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(*.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))
(* -1 (* t z))
(*.f64 (neg.f64 z) t)
(+ (* -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)
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(* 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)
(* 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))
(* 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))

rewrite218.0ms (7.7%)

Memory
-5.8MiB live, 286.8MiB allocated
Rules
9 070×lower-fma.f32
9 068×lower-fma.f64
6 150×lower-*.f32
6 146×lower-*.f64
2 494×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01441
02041
16641
239141
3438141
0939941
Stop Event
iter limit
node limit
iter limit
Counts
7 → 231
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)
(fma.f64 (neg.f64 z) t (*.f64 y x))
(neg.f64 z)
Outputs
#s(approx (- (* x y) (* z t)) (*.f64 y x))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.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 z) t))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 t z))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 (neg.f64 z))))
(*.f64 (exp.f64 (log.f64 (neg.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 (neg.f64 z))) (exp.f64 (log.f64 t)))
(*.f64 #s(literal -1 binary64) (*.f64 t z))
(*.f64 (neg.f64 z) t)
(*.f64 (neg.f64 t) z)
(*.f64 (*.f64 t z) #s(literal -1 binary64))
(*.f64 t (neg.f64 z))
(*.f64 z (neg.f64 t))
(pow.f64 (*.f64 (neg.f64 z) t) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) t) z)
(/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 z z))
(/.f64 (*.f64 (neg.f64 (*.f64 t t)) z) t)
(/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) z) (*.f64 t t))
(/.f64 (*.f64 t (neg.f64 (*.f64 z z))) z)
(/.f64 (*.f64 t (pow.f64 z #s(literal 3 binary64))) (*.f64 z z))
(/.f64 (*.f64 z (neg.f64 (*.f64 t t))) t)
(/.f64 (*.f64 z (pow.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 (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))
(-.f64 #s(literal 0 binary64) (*.f64 t z))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 z) t)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (neg.f64 z) t)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) t))
(*.f64 (neg.f64 (*.f64 t t)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 t #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) t)
(*.f64 t #s(literal -1 binary64))
(pow.f64 (/.f64 t (neg.f64 (*.f64 t t))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 t) #s(literal 1 binary64))
(pow.f64 t #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 t t))) (neg.f64 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 t (neg.f64 (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64)))
(/.f64 (pow.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 t #s(literal 3 binary64)) (neg.f64 (*.f64 t t)))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 t t))
(neg.f64 t)
(fma.f64 (neg.f64 (*.f64 t t)) (pow.f64 t #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 t #s(literal -2 binary64)) #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) t) (/.f64 (*.f64 t t) t))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t t)) (neg.f64 t))
(-.f64 #s(literal 0 binary64) t)
(+.f64 #s(literal 0 binary64) (neg.f64 t))
(+.f64 (neg.f64 t) #s(literal 0 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 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 t z) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x))))
(*.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 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x)) (-.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (pow.f64 (*.f64 t z) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) t (*.f64 y x)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) t (*.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 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) t (*.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)))) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 t z (*.f64 y x))) (-.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) t (*.f64 y x)))
(*.f64 (-.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 t z (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) (fma.f64 t z (*.f64 y x))))
(*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64))))
(*.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 (-.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 t z (*.f64 y x))))
(*.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) (pow.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.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 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) (/.f64 (neg.f64 (fma.f64 t z (*.f64 y x))) (neg.f64 (fma.f64 t z (*.f64 y x)))))
(*.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) (*.f64 (neg.f64 (fma.f64 t z (*.f64 y x))) (/.f64 #s(literal -1 binary64) (fma.f64 t z (*.f64 y x)))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
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(fma.f64 #s(literal -1 binary64) (*.f64 t z) (*.f64 y x))
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(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x)))))
(fma.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 t z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))))
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(fma.f64 (neg.f64 z) t (*.f64 y x))
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(fma.f64 t (neg.f64 z) (*.f64 y x))
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(fma.f64 y x (*.f64 (neg.f64 z) t))
(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)) (neg.f64 (fma.f64 t z (*.f64 y x)))))
(fma.f64 x y (*.f64 (neg.f64 z) t))
(-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 t z))
(-.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 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.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 z) t (*.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
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(+.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x)))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z (*.f64 y x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 y x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))))
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(*.f64 (neg.f64 (*.f64 z z)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(pow.f64 (/.f64 z (neg.f64 (*.f64 z z))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 z) #s(literal 1 binary64))
(pow.f64 z #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 0 binary64) (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 z z)) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z)))))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (*.f64 z z)))
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
(neg.f64 z)
(fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (neg.f64 z))
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(+.f64 (neg.f64 z) #s(literal 0 binary64))

eval58.0ms (2.1%)

Memory
-18.6MiB live, 137.3MiB allocated
Compiler

Compiled 7 241 to 670 computations (90.7% saved)

prune18.0ms (0.6%)

Memory
16.2MiB live, 54.7MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4780478
Fresh000
Picked033
Done000
Total4783481
Accuracy
100.0%
Counts
481 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (neg.f64 z) t (*.f64 y x))
50.9%
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
53.0%
#s(approx (- (* x y) (* z t)) (*.f64 y x))
Compiler

Compiled 39 to 34 computations (12.8% saved)

regimes16.0ms (0.6%)

Memory
-10.2MiB live, 28.8MiB allocated
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 t) z))
(-.f64 (*.f64 x y) (*.f64 z t))
(fma.f64 (neg.f64 z) t (*.f64 y x))
Outputs
(fma.f64 (neg.f64 z) t (*.f64 y x))
Calls

7 calls:

3.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
2.0ms
y
2.0ms
x
2.0ms
t
2.0ms
z
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
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)

regimes14.0ms (0.5%)

Memory
-12.8MiB live, 26.2MiB 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:

3.0ms
y
2.0ms
x
2.0ms
(*.f64 x y)
2.0ms
t
2.0ms
z
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1t
99.6%1(-.f64 (*.f64 x y) (*.f64 z t))
99.6%1(*.f64 x y)
99.6%1(*.f64 z t)
Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes11.0ms (0.4%)

Memory
23.3MiB live, 23.3MiB 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 (neg.f64 t) z))
#s(approx (- (* x y) (* z t)) (*.f64 y x))
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
Calls

7 calls:

2.0ms
y
2.0ms
x
1.0ms
z
1.0ms
t
1.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
Results
AccuracySegmentsBranch
73.2%3x
71.7%3y
75.8%3z
72.7%3t
59.7%4(-.f64 (*.f64 x y) (*.f64 z t))
77.3%3(*.f64 x y)
79.4%3(*.f64 z t)
Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes11.0ms (0.4%)

Memory
-21.6MiB live, 20.6MiB 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
x
1.0ms
t
1.0ms
z
1.0ms
y
1.0ms
(*.f64 z t)
Results
AccuracySegmentsBranch
53.0%1(-.f64 (*.f64 x y) (*.f64 z t))
53.0%1y
53.0%1t
53.0%1x
53.0%1z
53.0%1(*.f64 x y)
53.0%1(*.f64 z t)
Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9678812721281299e+90
1.0408445871970812e+93
0.0ms
-3.3248625645174272e+87
-2.485660064060089e+85
Compiler

Compiled 10 to 14 computations (-40% saved)

simplify23.0ms (0.8%)

Memory
8.8MiB live, 47.7MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative-binary64-*.f64
+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02372
13972
24772
35172
45272
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (neg.f64 z) t (*.f64 y x))
(-.f64 (*.f64 x y) (*.f64 z t))
(if (<=.f64 (*.f64 z t) #s(literal -1999999999999999918833448912700725462983992179296902879339478019613407845901908851032064 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (if (<=.f64 (*.f64 z t) #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) #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))
Outputs
(fma.f64 (neg.f64 z) t (*.f64 y x))
(fma.f64 (neg.f64 z) t (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 z t))
(-.f64 (*.f64 x y) (*.f64 t z))
(if (<=.f64 (*.f64 z t) #s(literal -1999999999999999918833448912700725462983992179296902879339478019613407845901908851032064 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (if (<=.f64 (*.f64 z t) #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 y x)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))))
(if (<=.f64 (*.f64 t z) #s(literal -1999999999999999918833448912700725462983992179296902879339478019613407845901908851032064 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) (if (<=.f64 (*.f64 t z) #s(literal 1999999999999999932968225430927800099650372185240251005959349194618359510874758461373022208 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 x y)) #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 x y))

soundness489.0ms (17.3%)

Memory
-1.1MiB live, 188.0MiB allocated
Rules
10 966×lower-fma.f64
10 966×lower-fma.f32
5 952×lower-fma.f64
5 952×lower-fma.f32
4 326×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042438
1141438
2387438
31317438
43790438
56101438
67969438
08177438
0713
01013
13013
220713
3195313
0832513
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 75 to 46 computations (38.7% saved)

preprocess82.0ms (2.9%)

Memory
13.6MiB live, 112.2MiB allocated
Remove

(sort z t)

(sort x y)

Compiler

Compiled 214 to 164 computations (23.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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