Linear.V3:cross from linear-1.19.1.3

Time bar (total: 3.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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)

sample753.0ms (24.5%)

Memory
12.1MiB live, 915.6MiB allocated
Samples
497.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 195.0ms
ival-mult: 135.0ms (69.3% of total)
ival-sub: 51.0ms (26.2% of total)
ival-true: 5.0ms (2.6% of total)
ival-assert: 4.0ms (2.1% of total)
Bogosity

explain67.0ms (2.2%)

Memory
34.4MiB live, 115.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-0-(-.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-rescue50
(*.f64 x y)overflow32
(*.f64 z t)overflow32
Confusion
Predicted +Predicted -
+50
-0251
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+500
-00251
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms512×0valid
Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 7.0ms (75.5% of total)
ival-sub: 2.0ms (21.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess50.0ms (1.6%)

Memory
-14.8MiB live, 61.5MiB 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(-.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify11.0ms (0.4%)

Memory
14.6MiB live, 14.6MiB 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

localize44.0ms (1.4%)

Memory
-8.7MiB live, 36.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z t)
accuracy0
(*.f64 x y)
accuracy1.1054646216604116
(-.f64 (*.f64 x y) (*.f64 z t))
Samples
40.0ms256×0valid
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 30.0ms (97.2% of total)
ival-sub: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.4%)

Memory
-18.2MiB live, 17.7MiB 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
3.0ms
y
@0
((- (* 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))

simplify118.0ms (3.9%)

Memory
-0.2MiB live, 154.1MiB 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)

rewrite190.0ms (6.2%)

Memory
12.2MiB live, 299.5MiB 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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eval39.0ms (1.3%)

Memory
-9.2MiB live, 98.9MiB allocated
Compiler

Compiled 10 426 to 664 computations (93.6% saved)

prune38.0ms (1.2%)

Memory
7.9MiB live, 95.4MiB 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
99.6%
(fma.f64 y x (*.f64 (neg.f64 t) z))
55.1%
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
48.7%
#s(approx (- (* x y) (* z t)) (*.f64 y x))
Compiler

Compiled 16 to 20 computations (-25% saved)

simplify13.0ms (0.4%)

Memory
-16.5MiB live, 22.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 t)
cost-diff0
(*.f64 (neg.f64 t) z)
cost-diff0
(fma.f64 y x (*.f64 (neg.f64 t) z))
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
01353
01753
13353
24253
35553
47853
510653
616653
723153
828353
931253
1032853
032853
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 y x (*.f64 (neg.f64 t) z))
y
x
(*.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
(fma.f64 y x (*.f64 (neg.f64 t) z))
(fma.f64 (neg.f64 z) t (*.f64 y x))
y
x
(*.f64 (neg.f64 t) z)
(neg.f64 t)
t
z

localize27.0ms (0.9%)

Memory
28.4MiB live, 28.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (neg.f64 t) z)
accuracy0
(neg.f64 t)
accuracy0.24999724760556022
(fma.f64 y x (*.f64 (neg.f64 t) z))
accuracy0
(*.f64 (neg.f64 t) z)
accuracy0
(neg.f64 t)
accuracy28.76286638657946
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
accuracy0
(*.f64 y x)
accuracy32.828000369797756
#s(approx (- (* x y) (* z t)) (*.f64 y x))
Samples
19.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (64% of total)
ival-sub: 1.0ms (10.7% of total)
ival-add: 1.0ms (10.7% of total)
ival-neg: 1.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.3%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
6 → 204
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 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) 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 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 t) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<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 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1 z) (/ (* x y) t))) (taylor inf t) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1 z) (/ (* x y) t))) (taylor inf t) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1 z) (/ (* x y) t))) (taylor inf t) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<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 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ z (* -1 (/ (* x y) t))))) (taylor -inf t) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ z (* -1 (/ (* x y) t))))) (taylor -inf t) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ z (* -1 (/ (* x y) t))))) (taylor -inf t) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<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 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) 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>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf 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 (* z (- (/ (* x y) z) t)) (taylor inf 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>) () ())) ())
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#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 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* t z) x)))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 (neg.f64 t) z)) (patch (fma.f64 y x (*.f64 (neg.f64 t) z)) #<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) (+ (* y x) (* (neg t) z)))
1.0ms
t
@0
((- (* x y) (* z t)) (* y x) (- (* x y) (* z t)) (* (neg t) z) (neg t) (+ (* y x) (* (neg t) z)))
1.0ms
t
@-inf
((- (* x y) (* z t)) (* y x) (- (* x y) (* z t)) (* (neg t) z) (neg t) (+ (* y x) (* (neg t) z)))
0.0ms
z
@0
((- (* x y) (* z t)) (* y x) (- (* x y) (* z t)) (* (neg t) z) (neg t) (+ (* y x) (* (neg t) z)))
0.0ms
y
@-inf
((- (* x y) (* z t)) (* y x) (- (* x y) (* z t)) (* (neg t) z) (neg t) (+ (* y x) (* (neg t) z)))

simplify235.0ms (7.6%)

Memory
-9.6MiB live, 138.8MiB 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
0521074
11851074
24951074
315861074
436471074
554151074
659861074
760301074
860481074
960521074
1070921074
088881074
Stop Event
iter limit
node limit
Counts
204 → 204
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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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)
(*.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)
(* 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))

rewrite221.0ms (7.2%)

Memory
-2.2MiB live, 134.9MiB allocated
Rules
3 846×lower-fma.f32
3 844×lower-fma.f64
3 476×lower-*.f32
3 472×lower-*.f64
2 002×lower-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01339
01739
16339
236339
3383333
0850733
Stop Event
iter limit
node limit
iter limit
Counts
6 → 232
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 y x (*.f64 (neg.f64 t) z))
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 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 t z))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 t z))
(*.f64 (exp.f64 (log.f64 (neg.f64 z))) (exp.f64 (log.f64 t)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t)))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 (neg.f64 z))))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)))
(*.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) t)
(*.f64 (neg.f64 (neg.f64 z)) t)
(*.f64 #s(literal 1 binary64) (*.f64 t z))
(*.f64 (neg.f64 z) t)
(*.f64 #s(literal -1 binary64) (*.f64 t z))
(*.f64 (*.f64 t z) #s(literal -1 binary64))
(*.f64 t (neg.f64 (neg.f64 z)))
(*.f64 t (neg.f64 z))
(*.f64 t z)
(*.f64 z t)
(pow.f64 (*.f64 t z) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (pow.f64 t #s(literal 3 binary64)))) (*.f64 t t))
(/.f64 (neg.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (*.f64 t t))
(/.f64 (neg.f64 (*.f64 z (pow.f64 t #s(literal 3 binary64)))) (*.f64 t t))
(/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) z) (*.f64 t t))
(/.f64 (*.f64 (neg.f64 z) (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))
(/.f64 (*.f64 z (pow.f64 t #s(literal 3 binary64))) (*.f64 t t))
(/.f64 (*.f64 (*.f64 t t) z) t)
(/.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)))))
(/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 t z))
(neg.f64 (*.f64 t z))
(fma.f64 (neg.f64 z) #s(literal 0 binary64) (*.f64 t z))
(fma.f64 #s(literal 0 binary64) (neg.f64 z) (*.f64 t z))
(fma.f64 #s(literal 0 binary64) z (*.f64 t z))
(fma.f64 z #s(literal 0 binary64) (*.f64 t z))
(-.f64 #s(literal 0 binary64) (*.f64 t z))
(exp.f64 (*.f64 (log.f64 (*.f64 t z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 t z)))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 t z))
(+.f64 (*.f64 (neg.f64 z) #s(literal 0 binary64)) (*.f64 t z))
(+.f64 (*.f64 z #s(literal 0 binary64)) (*.f64 t z))
(+.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 t z))
(+.f64 #s(literal 0 binary64) (*.f64 t z))
(*.f64 #s(literal 1 binary64) t)
(*.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))
(*.f64 t #s(literal -1 binary64))
(pow.f64 (/.f64 t (*.f64 t t)) #s(literal -1 binary64))
(pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 t #s(literal 1 binary64))
(/.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 #s(literal 1 binary64) (/.f64 t (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -1 binary64)))
(/.f64 (*.f64 t t) t)
(/.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 t t) #s(literal 0 binary64)))))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 t t) #s(literal 0 binary64))))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 t t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 t t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 t #s(literal -1 binary64))))
(neg.f64 t)
(fma.f64 #s(literal 1 binary64) t #s(literal 0 binary64))
(fma.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))
(fma.f64 t #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) t) t)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t t)) t)
(-.f64 #s(literal 0 binary64) t)
(+.f64 #s(literal 0 binary64) t)
(+.f64 t #s(literal 0 binary64))
t
(*.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))) (pow.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 t z (*.f64 y x))))
(*.f64 (/.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64))) (fma.f64 t z (*.f64 y x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #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 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.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 (fma.f64 t z (*.f64 y x)) (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 (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 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 t z (*.f64 y x)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 t z (*.f64 y x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (neg.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 (fma.f64 t z (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 t z (*.f64 y x)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 t z (*.f64 y x)) (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 (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)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 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)))) (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))
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(fma.f64 x y (*.f64 t z))
(-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 t z))
(-.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))) (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 t z (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))
(-.f64 (/.f64 (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 #s(literal 0 binary64) (neg.f64 (fma.f64 t z (*.f64 y x))))
(-.f64 (*.f64 y x) (*.f64 t z))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 (*.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 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)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(+.f64 (*.f64 y x) (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 y x))

eval156.0ms (5.1%)

Memory
-25.8MiB live, 94.5MiB allocated
Compiler

Compiled 8 407 to 711 computations (91.5% saved)

prune114.0ms (3.7%)

Memory
19.5MiB live, 92.3MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New5420542
Fresh000
Picked033
Done000
Total5423545
Accuracy
100.0%
Counts
545 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 y x (*.f64 (neg.f64 t) z))
55.1%
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
48.7%
#s(approx (- (* x y) (* z t)) (*.f64 y x))
Compiler

Compiled 39 to 33 computations (15.4% saved)

regimes56.0ms (1.8%)

Memory
3.0MiB live, 41.4MiB 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 y x (*.f64 (neg.f64 t) z))
Outputs
(fma.f64 y x (*.f64 (neg.f64 t) z))
Calls

7 calls:

42.0ms
t
2.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(*.f64 z t)
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)

regimes32.0ms (1%)

Memory
-12.7MiB live, 36.9MiB allocated
Counts
3 → 2
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))
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z))
Calls

7 calls:

19.0ms
t
2.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
2.0ms
y
2.0ms
z
2.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
98.0%1x
98.0%1y
98.0%1z
98.0%1t
99.6%2(-.f64 (*.f64 x y) (*.f64 z t))
98.0%1(*.f64 x y)
98.0%1(*.f64 z t)
Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes39.0ms (1.3%)

Memory
-10.3MiB live, 28.2MiB 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:

28.0ms
y
2.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
2.0ms
z
2.0ms
x
2.0ms
t
Results
AccuracySegmentsBranch
69.9%3x
71.7%3y
74.1%3z
71.3%3t
79.8%3(*.f64 x y)
76.1%3(*.f64 z t)
62.3%4(-.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes10.0ms (0.3%)

Memory
25.7MiB live, 25.7MiB 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:

1.0ms
z
1.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
1.0ms
y
1.0ms
x
1.0ms
t
Results
AccuracySegmentsBranch
48.7%1(-.f64 (*.f64 x y) (*.f64 z t))
48.7%1x
48.7%1t
48.7%1y
48.7%1z
48.7%1(*.f64 z t)
48.7%1(*.f64 x y)
Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 10 to 14 computations (-40% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.319472738911514e-40
1.7104560482156609e-25
0.0ms
-1.2490947256512785e-37
-9.21010213985536e-38
Compiler

Compiled 10 to 14 computations (-40% saved)

simplify65.0ms (2.1%)

Memory
-20.1MiB live, 55.3MiB 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
02593
13993
24793
35293
45493
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y x (*.f64 (neg.f64 t) z))
(if (<=.f64 (-.f64 (*.f64 x y) (*.f64 z t)) #s(literal +inf.0 binary64)) (-.f64 (*.f64 x y) (*.f64 z t)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)))
(if (<=.f64 (*.f64 x y) #s(literal -4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 y x)) (if (<=.f64 (*.f64 x y) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 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
(fma.f64 y x (*.f64 (neg.f64 t) z))
(fma.f64 y x (*.f64 z (neg.f64 t)))
(if (<=.f64 (-.f64 (*.f64 x y) (*.f64 z t)) #s(literal +inf.0 binary64)) (-.f64 (*.f64 x y) (*.f64 z t)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)))
(if (<=.f64 (-.f64 (*.f64 x y) (*.f64 z t)) #s(literal +inf.0 binary64)) (-.f64 (*.f64 x y) (*.f64 z t)) #s(approx (- (* x y) (* z t)) (*.f64 z (neg.f64 t))))
(if (<=.f64 (*.f64 x y) #s(literal -4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 y x)) (if (<=.f64 (*.f64 x y) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 t) z)) #s(approx (- (* x y) (* z t)) (*.f64 y x))))
(if (<=.f64 (*.f64 x y) #s(literal -4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 x y)) (if (<=.f64 (*.f64 x y) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (* x y) (* z t)) (*.f64 z (neg.f64 t))) #s(approx (- (* x y) (* z t)) (*.f64 x y))))
#s(approx (- (* x y) (* z t)) (*.f64 y x))
#s(approx (- (* x y) (* z t)) (*.f64 x y))

soundness651.0ms (21.2%)

Memory
13.0MiB live, 319.0MiB 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 86 to 53 computations (38.4% saved)

preprocess123.0ms (4%)

Memory
20.0MiB live, 137.4MiB allocated
Remove

(sort z t)

(sort x y)

Compiler

Compiled 214 to 140 computations (34.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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