Main:bigenough2 from A

Time bar (total: 4.9s)

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%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample784.0ms (16.1%)

Memory
5.5MiB live, 872.0MiB allocated
Samples
411.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-add: 95.0ms (58% of total)
ival-mult: 59.0ms (36% of total)
ival-true: 6.0ms (3.7% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

explain97.0ms (2%)

Memory
-3.8MiB live, 81.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 z x)
00-0-y
00-0-(*.f64 y (+.f64 z x))
00-0-(+.f64 x (*.f64 y (+.f64 z x)))
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
62.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-add: 29.0ms (86.3% of total)
ival-mult: 4.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess182.0ms (3.7%)

Memory
-6.5MiB live, 29.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02770
19463
229063
370863
4165463
5239563
6250063
7250063
067
097
1187
2297
3387
4427
5487
6487
7617
8617
9737
10757
11797
0796
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 (+.f64 z x) y x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 z x)
cost-diff0
(*.f64 y (+.f64 z x))
cost-diff128
(+.f64 x (*.f64 y (+.f64 z x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11818
22918
33818
44218
54818
64818
76118
86118
97318
107518
117918
07917
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
x
(*.f64 y (+.f64 z x))
y
(+.f64 z x)
z
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 (+.f64 z x) y x)
x
(*.f64 y (+.f64 z x))
(*.f64 (+.f64 z x) y)
y
(+.f64 z x)
z

localize19.0ms (0.4%)

Memory
-9.1MiB live, 26.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 z x)
accuracy0.0078125
(+.f64 x (*.f64 y (+.f64 z x)))
accuracy0.01171875
(*.f64 y (+.f64 z x))
Samples
11.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (63.1% of total)
ival-mult: 2.0ms (42.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
3 → 96
Calls
Call 1
Inputs
#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())
#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* y z)) (taylor 0 z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ x z))) (taylor inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ x z))) (taylor inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ x z))) (taylor inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) 1))) (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) 1))) (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) 1))) (taylor -inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x z))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x z))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x z))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor 0 y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor 0 y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor 0 y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor 0 y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ z (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ z (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ z (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor -inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor -inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor -inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x z)) (taylor -inf y) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 y)) (* y z)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 y)) (* y z)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 1 y)) (* y z)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* y z)) (taylor 0 x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* y z)) (taylor 0 x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* y z)) (taylor 0 x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ z x))) (taylor inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ z x))) (taylor inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ z x))) (taylor inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (+.f64 z x))) (patch (+.f64 x (*.f64 y (+.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 y (+.f64 z x)) (patch (*.f64 y (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))
1.0ms
x
@-inf
((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))
1.0ms
z
@inf
((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))
0.0ms
z
@-inf
((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))
0.0ms
y
@-inf
((+ x (* y (+ z x))) (* y (+ z x)) (+ z x))

simplify418.0ms (8.6%)

Memory
-72.6MiB live, 78.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070452
1249452
2731452
32093452
44312452
55677452
66804452
77667452
08057422
Stop Event
iter limit
node limit
Counts
96 → 89
Calls
Call 1
Inputs
(+ x (* x y))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(* x y)
(+ (* x y) (* y z))
(+ (* x y) (* y z))
(+ (* x y) (* y z))
x
(+ x z)
(+ x z)
(+ x z)
(* y z)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* y z)
(* z (+ y (/ (* x y) z)))
(* z (+ y (/ (* x y) z)))
(* z (+ y (/ (* x y) z)))
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
x
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y z)
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(* y z)
(+ (* x y) (* y z))
(+ (* x y) (* y z))
(+ (* x y) (* y z))
z
(+ x z)
(+ x z)
(+ x z)
(* x (+ 1 y))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x y)
(* x (+ y (/ (* y z) x)))
(* x (+ y (/ (* y z) x)))
(* x (+ y (/ (* y z) x)))
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
Outputs
(+ x (* x y))
(fma.f64 y x x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(* x y)
(*.f64 y x)
(+ (* x y) (* y z))
(*.f64 (+.f64 z x) y)
(+ (* x y) (* y z))
(*.f64 (+.f64 z x) y)
(+ (* x y) (* y z))
(*.f64 (+.f64 z x) y)
x
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(* y z)
(*.f64 z y)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 (+.f64 z x) y x)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 (+.f64 z x) y x)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 (+.f64 z x) y x)
(* y z)
(*.f64 z y)
(* z (+ y (/ (* x y) z)))
(*.f64 (+.f64 z x) y)
(* z (+ y (/ (* x y) z)))
(*.f64 (+.f64 z x) y)
(* z (+ y (/ (* x y) z)))
(*.f64 (+.f64 z x) y)
z
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* y z)
(*.f64 z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (+.f64 z x) y x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (+.f64 z x) y x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (+.f64 z x) y x)
(* y z)
(*.f64 z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z x) y)
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z x) y)
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z x) y)
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
x
(+ x (* y (+ x z)))
(fma.f64 (+.f64 z x) y x)
(+ x (* y (+ x z)))
(fma.f64 (+.f64 z x) y x)
(+ x (* y (+ x z)))
(fma.f64 (+.f64 z x) y x)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y (+ x (+ z (/ x y))))
(fma.f64 (+.f64 z x) y x)
(* y (+ x (+ z (/ x y))))
(fma.f64 (+.f64 z x) y x)
(* y (+ x (+ z (/ x y))))
(fma.f64 (+.f64 z x) y x)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(fma.f64 (+.f64 z x) y x)
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(fma.f64 (+.f64 z x) y x)
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(fma.f64 (+.f64 z x) y x)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y z)
(*.f64 z y)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 (+.f64 z x) y x)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 (+.f64 z x) y x)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 (+.f64 z x) y x)
(* y z)
(*.f64 z y)
(+ (* x y) (* y z))
(*.f64 (+.f64 z x) y)
(+ (* x y) (* y z))
(*.f64 (+.f64 z x) y)
(+ (* x y) (* y z))
(*.f64 (+.f64 z x) y)
z
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 (+.f64 z x) y x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 (+.f64 z x) y x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 (+.f64 z x) y x)
(* x y)
(*.f64 y x)
(* x (+ y (/ (* y z) x)))
(*.f64 (+.f64 z x) y)
(* x (+ y (/ (* y z) x)))
(*.f64 (+.f64 z x) y)
(* x (+ y (/ (* y z) x)))
(*.f64 (+.f64 z x) y)
x
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 (+.f64 z x) y x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 (+.f64 z x) y x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 (+.f64 z x) y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 z x) y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 z x) y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 z x) y)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)

rewrite224.0ms (4.6%)

Memory
18.9MiB live, 300.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
14115
235115
3426915
0863814
Stop Event
iter limit
node limit
iter limit
Counts
3 → 245
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
(*.f64 y (+.f64 z x))
(+.f64 z x)
Outputs
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eval40.0ms (0.8%)

Memory
17.4MiB live, 90.7MiB allocated
Compiler

Compiled 6 491 to 817 computations (87.4% saved)

prune179.0ms (3.7%)

Memory
-12.2MiB live, 25.0MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3295334
Fresh000
Picked101
Done000
Total3305335
Accuracy
100.0%
Counts
335 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(fma.f64 y x (fma.f64 z y x))
73.1%
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
59.1%
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
71.8%
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
45.1%
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
Compiler

Compiled 56 to 54 computations (3.6% saved)

simplify6.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (* y (+ z x)) (*.f64 z y))
cost-diff0
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
cost-diff0
(+.f64 z x)
cost-diff0
(*.f64 (+.f64 z x) y)
cost-diff0
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
cost-diff0
(fma.f64 y x x)
cost-diff0
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
cost-diff0
(fma.f64 z y x)
cost-diff192
(fma.f64 y x (fma.f64 z y x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01798
02598
14298
24898
35498
45498
56798
66798
77998
88198
98598
08594
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 y x (fma.f64 z y x))
y
x
(fma.f64 z y x)
z
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
(fma.f64 y x x)
y
x
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
(*.f64 (+.f64 z x) y)
(+.f64 z x)
z
x
y
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
x
#s(approx (* y (+ z x)) (*.f64 z y))
(*.f64 z y)
z
y
Outputs
(fma.f64 y x (fma.f64 z y x))
(fma.f64 (+.f64 z x) y x)
y
x
(fma.f64 z y x)
z
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
#s(approx (+ x (* y (+ z x))) (fma.f64 x y x))
(fma.f64 y x x)
(fma.f64 x y x)
y
x
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
(*.f64 (+.f64 z x) y)
(+.f64 z x)
z
x
y
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
(+.f64 #s(approx (* y (+ z x)) (*.f64 z y)) x)
x
#s(approx (* y (+ z x)) (*.f64 z y))
(*.f64 z y)
z
y

localize55.0ms (1.1%)

Memory
-23.1MiB live, 98.4MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z y)
accuracy0.0078125
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
accuracy26.925907799413995
#s(approx (* y (+ z x)) (*.f64 z y))
accuracy0
(+.f64 z x)
accuracy0.01171875
(*.f64 (+.f64 z x) y)
accuracy18.037545309399704
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
accuracy0
(fma.f64 y x x)
accuracy26.162269288574514
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
accuracy0
(*.f64 z y)
accuracy35.10900580137433
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
accuracy0
(fma.f64 z y x)
accuracy1.249986238027801
(fma.f64 y x (fma.f64 z y x))
Samples
42.0ms256×0valid
Compiler

Compiled 81 to 14 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-add: 24.0ms (78% of total)
ival-mult: 7.0ms (22.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.7%)

Memory
-5.6MiB live, 32.0MiB allocated
Counts
11 → 360
Calls
Call 1
Inputs
#s(alt (fma.f64 y x (fma.f64 z y x)) (patch (fma.f64 y x (fma.f64 z y x)) #<representation binary64>) () ())
#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x (fma.f64 z y x)) (patch (fma.f64 y x (fma.f64 z y x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (patch #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (patch #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 z x) y) (patch (*.f64 (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (+ z x)) (*.f64 z y)) (patch #s(approx (* y (+ z x)) (*.f64 z y)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify146.0ms (3%)

Memory
35.7MiB live, 157.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0981854
13441854
29351854
324041854
445161854
561391854
674851854
080411656
Stop Event
iter limit
node limit
Counts
360 → 344
Calls
Call 1
Inputs
(+ x (* x y))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(+ x (* x y))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
(+ x (* x y))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(+ x (* x y))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(* x y)
(+ (* x y) (* y z))
(+ (* x y) (* y z))
(+ (* x y) (* y z))
x
(+ x z)
(+ x z)
(+ x z)
(+ x (* x y))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(* x y)
(+ (* x y) (* y z))
(+ (* x y) (* y z))
(+ (* x y) (* y z))
(* y z)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* y z)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* y z)
(* z (+ y (/ (* x y) z)))
(* z (+ y (/ (* x y) z)))
(* z (+ y (/ (* x y) z)))
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* y z)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* y z)
(* z (+ y (/ (* x y) z)))
(* z (+ y (/ (* x y) z)))
(* z (+ y (/ (* x y) z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z)))))
x
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
x
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
x
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ x z))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y (+ x z))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x z))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* -1 (* y (+ (* -1 x) (* -1 z))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y (+ x z))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y (+ x z))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* y (+ x z))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y (+ x z))
(* y z)
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(* y z)
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* y z)
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(* y z)
(+ (* x y) (* y z))
(+ (* x y) (* y z))
(+ (* x y) (* y z))
z
(+ x z)
(+ x z)
(+ x z)
(* y z)
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(* y z)
(+ (* x y) (* y z))
(+ (* x y) (* y z))
(+ (* x y) (* y z))
(* x (+ 1 y))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 y))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 y))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x y)
(* x (+ y (/ (* y z) x)))
(* x (+ y (/ (* y z) x)))
(* x (+ y (/ (* y z) x)))
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 y))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x y)
(* x (+ y (/ (* y z) x)))
(* x (+ y (/ (* y z) x)))
(* x (+ y (/ (* y z) x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
Outputs
(+ x (* x y))
(fma.f64 y x x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(+ x (* x y))
(fma.f64 y x x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(* x y)
(*.f64 y x)
(+ (* x y) (* y z))
(*.f64 (+.f64 z x) y)
(+ (* x y) (* y z))
(*.f64 (+.f64 z x) y)
(+ (* x y) (* y z))
(*.f64 (+.f64 z x) y)
x
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
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(fma.f64 (+.f64 z x) y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 z x) y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 z x) y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 z x) y)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 (+.f64 z x) y x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 (+.f64 z x) y x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 (+.f64 z x) y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 z x) y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 z x) y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 z x) y)

rewrite258.0ms (5.3%)

Memory
-11.8MiB live, 182.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01782
02582
110582
283982
0824178
Stop Event
iter limit
node limit
iter limit
Counts
11 → 320
Calls
Call 1
Inputs
(fma.f64 y x (fma.f64 z y x))
(fma.f64 z y x)
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
(*.f64 z y)
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
(fma.f64 y x x)
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
(*.f64 (+.f64 z x) y)
(+.f64 z x)
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
#s(approx (* y (+ z x)) (*.f64 z y))
Outputs
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eval162.0ms (3.3%)

Memory
2.6MiB live, 98.4MiB allocated
Compiler

Compiled 10 153 to 1 083 computations (89.3% saved)

prune180.0ms (3.7%)

Memory
2.8MiB live, 38.5MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New6882690
Fresh000
Picked145
Done000
Total6896695
Accuracy
100.0%
Counts
695 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.9%
(fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y)))
73.1%
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
59.1%
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
71.8%
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
45.1%
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
31.8%
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
Compiler

Compiled 33 to 34 computations (-3% saved)

simplify24.0ms (0.5%)

Memory
-35.3MiB live, 3.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (+ (* z y) x) (*.f64 z y))
cost-diff0
(fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y)))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* y x) x) (*.f64 y x))
cost-diff0
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01658
01958
13358
24058
34858
44858
56158
66158
77358
87558
97958
07953
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
y
x
(fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y)))
y
x
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
z
Outputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
y
x
(fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y)))
y
x
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
z

localize26.0ms (0.5%)

Memory
25.1MiB live, 25.1MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z y)
accuracy1.249986238027801
(fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy28.005409381137024
#s(approx (+ (* z y) x) (*.f64 z y))
accuracy0
(*.f64 y x)
accuracy26.162269288574514
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
accuracy26.998266789018864
#s(approx (+ (* y x) x) (*.f64 y x))
Samples
19.0ms256×0valid
Compiler

Compiled 39 to 13 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 6.0ms (54.4% of total)
ival-mult: 5.0ms (45.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
6 → 180
Calls
Call 1
Inputs
#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* x y) (* y z))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (+ (/ x z) (/ (* x y) z)))) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (/ x z))) (taylor inf z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (/ x z))) (taylor inf z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (/ x z))) (taylor inf z) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
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#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 (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y z) x))) (taylor inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y z) x))) (taylor inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y z) x))) (taylor inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (patch #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) x) (*.f64 y x)) (patch #s(approx (+ (* y x) x) (*.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 (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) (patch (fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (*.f64 z y)) (patch #s(approx (+ (* z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (* z y))
1.0ms
x
@-inf
((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (* z y))
1.0ms
z
@-inf
((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (* z y))
0.0ms
x
@inf
((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (* z y))
0.0ms
y
@0
((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (* z y))

simplify185.0ms (3.8%)

Memory
-33.9MiB live, 89.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077858
1265858
2725858
31748858
44115858
56410858
08248750
Stop Event
iter limit
node limit
Counts
180 → 173
Calls
Call 1
Inputs
(+ x (* x y))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(+ x (* x y))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
(+ x (+ (* x y) (* y z)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* y z)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
(+ x (* y (+ x z)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* y (+ x z))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x z))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y (+ x (+ z (/ x y))))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* y z)
(* y z)
(* y z)
(* y (+ x z))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 z))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(* y z)
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(+ (* x (+ 1 y)) (* y z))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* x (+ 1 y))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 y))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
(* x (+ 1 (+ y (/ (* y z) x))))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
Outputs
(+ x (* x y))
(fma.f64 y x x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
(+ x (+ (* x y) (* y z)))
(fma.f64 (+.f64 z x) y x)
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 (+.f64 z x) y x)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 (+.f64 z x) y x)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 (+.f64 z x) y x)
(* y z)
(*.f64 z y)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 (+.f64 z x) y x)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 (+.f64 z x) y x)
(* z (+ y (+ (/ x z) (/ (* x y) z))))
(fma.f64 (+.f64 z x) y x)
(* y z)
(*.f64 z y)
(* z (+ y (/ x z)))
(fma.f64 z y x)
(* z (+ y (/ x z)))
(fma.f64 z y x)
(* z (+ y (/ x z)))
(fma.f64 z y x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (+.f64 z x) y x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (+.f64 z x) y x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (+.f64 z x) y x)
(* y z)
(*.f64 z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (+.f64 z x) y x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (+.f64 z x) y x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (+.f64 z x) y x)
(* y z)
(*.f64 z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 z y x)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 z y x)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 z y x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
x
(+ x (* y (+ x z)))
(fma.f64 (+.f64 z x) y x)
(+ x (* y (+ x z)))
(fma.f64 (+.f64 z x) y x)
(+ x (* y (+ x z)))
(fma.f64 (+.f64 z x) y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
(+ x (* y (+ x z)))
(fma.f64 (+.f64 z x) y x)
(+ x (* y (+ x z)))
(fma.f64 (+.f64 z x) y x)
(+ x (* y (+ x z)))
(fma.f64 (+.f64 z x) y x)
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y (+ x (+ z (/ x y))))
(fma.f64 (+.f64 z x) y x)
(* y (+ x (+ z (/ x y))))
(fma.f64 (+.f64 z x) y x)
(* y (+ x (+ z (/ x y))))
(fma.f64 (+.f64 z x) y x)
(* x y)
(*.f64 y x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* y (+ x (+ z (/ x y))))
(fma.f64 (+.f64 z x) y x)
(* y (+ x (+ z (/ x y))))
(fma.f64 (+.f64 z x) y x)
(* y (+ x (+ z (/ x y))))
(fma.f64 (+.f64 z x) y x)
(* y z)
(*.f64 z y)
(* y (+ z (/ x y)))
(fma.f64 z y x)
(* y (+ z (/ x y)))
(fma.f64 z y x)
(* y (+ z (/ x y)))
(fma.f64 z y x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y (+ x z))
(*.f64 (+.f64 z x) y)
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(fma.f64 (+.f64 z x) y x)
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(fma.f64 (+.f64 z x) y x)
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y)))))
(fma.f64 (+.f64 z x) y x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x 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) (* -1 z))))
(*.f64 (+.f64 z x) y)
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(fma.f64 (+.f64 z x) y x)
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(fma.f64 (+.f64 z x) y x)
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y))))))
(fma.f64 (+.f64 z x) y x)
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 z y x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 z y x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 z y x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 (+.f64 z x) y x)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 (+.f64 z x) y x)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 (+.f64 z x) y x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y z)
(*.f64 z y)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 (+.f64 z x) y x)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 (+.f64 z x) y x)
(+ (* x (+ 1 y)) (* y z))
(fma.f64 (+.f64 z x) y x)
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 (+.f64 z x) y x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 (+.f64 z x) y x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 (+.f64 z x) y x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 (+.f64 z x) y x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 (+.f64 z x) y x)
(* x (+ 1 (+ y (/ (* y z) x))))
(fma.f64 (+.f64 z x) y x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 (+.f64 z x) y x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 (+.f64 z x) y x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 (+.f64 z x) y x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x 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) 1)))
(fma.f64 y x x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 (+.f64 z x) y x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 (+.f64 z x) y x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1)))
(fma.f64 (+.f64 z x) y x)
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 z y x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 z y x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 z y x)

rewrite356.0ms (7.3%)

Memory
16.6MiB live, 171.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01653
01953
18653
265953
0803348
Stop Event
iter limit
node limit
iter limit
Counts
6 → 74
Calls
Call 1
Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ (* y x) x) (*.f64 y x))
(*.f64 y x)
(fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* z y) x) (*.f64 z y))
(*.f64 z y)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval97.0ms (2%)

Memory
2.5MiB live, 39.0MiB allocated
Compiler

Compiled 3 507 to 228 computations (93.5% saved)

prune9.0ms (0.2%)

Memory
21.3MiB live, 21.3MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2470247
Fresh000
Picked022
Done044
Total2476253
Accuracy
100.0%
Counts
253 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.9%
(fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y)))
73.1%
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
59.1%
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
71.8%
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
45.1%
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
31.8%
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes102.0ms (2.1%)

Memory
-30.8MiB live, 21.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 y x #s(approx (+ (* z y) x) (*.f64 z y)))
(fma.f64 y x (fma.f64 z y x))
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
Calls

4 calls:

91.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
3.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes18.0ms (0.4%)

Memory
-15.5MiB live, 23.4MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
Outputs
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
(+.f64 x #s(approx (* y (+ z x)) (*.f64 z y)))
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
Calls

4 calls:

11.0ms
x
3.0ms
y
2.0ms
z
2.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
Results
AccuracySegmentsBranch
87.7%3x
99.4%3y
91.2%4z
88.0%4(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
Outputs
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))
Calls

2 calls:

2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
81.7%3z
88.7%3y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes9.0ms (0.2%)

Memory
23.2MiB live, 23.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
Outputs
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x))
Calls

4 calls:

2.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
76.8%3z
61.5%2(+.f64 x (*.f64 y (+.f64 z x)))
78.4%3x
64.7%4y
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes45.0ms (0.9%)

Memory
-24.9MiB live, 15.0MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
Outputs
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
#s(approx (+ x (* y (+ z x))) (*.f64 z y))
Calls

4 calls:

40.0ms
x
2.0ms
y
2.0ms
z
2.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
Results
AccuracySegmentsBranch
49.1%2(+.f64 x (*.f64 y (+.f64 z x)))
50.6%4y
61.1%3z
59.5%3x
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
Outputs
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
Calls

4 calls:

1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
Results
AccuracySegmentsBranch
31.8%1y
31.8%1(+.f64 x (*.f64 y (+.f64 z x)))
31.8%1x
31.8%1z
Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch87.0ms (1.8%)

Memory
9.3MiB live, 48.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
5.359450235276421e-27
4.068129140309654e-15
72.0ms
-72.00402195456304
-6.916338141483039e-9
Samples
13.0ms320×0valid
Compiler

Compiled 250 to 292 computations (-16.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (51.6% of total)
ival-mult: 2.0ms (34.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch46.0ms (1%)

Memory
-16.3MiB live, 40.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
6.82197132938997e-59
1.040871375606815e-55
35.0ms
-3.727409149358235e-100
-1.83087886172615e-102
Samples
36.0ms240×0valid
Compiler

Compiled 175 to 207 computations (-18.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 21.0ms (88% of total)
ival-add: 2.0ms (8.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.7%)

Memory
-6.6MiB live, 32.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
0.001428594623308831
1493102344442.7588
18.0ms
-1.5273515144212732e-83
-1.6674712893984617e-85
Samples
21.0ms272×0valid
Compiler

Compiled 163 to 216 computations (-32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 12.0ms (82.8% of total)
ival-mult: 2.0ms (13.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.6%)

Memory
-24.2MiB live, 53.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
2.325360003312474e-34
1.369653589993956e-31
14.0ms
-4.8379357707448345e+38
-53919922994171.086
Samples
12.0ms304×0valid
Compiler

Compiled 181 to 259 computations (-43.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (54.7% of total)
ival-mult: 2.0ms (36.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify25.0ms (0.5%)

Memory
19.1MiB live, 59.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046205
152205
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 2535301200456459/633825300114114700748351602688 binary64)) (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 y #s(literal -3546180557675503/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 452754560349461/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 x #s(literal -4549481507548665/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x))))
(if (<=.f64 z #s(literal -59000000000000 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (if (<=.f64 z #s(literal 2374940160662717/365375409332725729550921208179070754913983135744 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #s(approx (+ x (* y (+ z x))) (*.f64 z y))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 (*.f64 (+.f64 z x) y) x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 2535301200456459/633825300114114700748351602688 binary64)) (+.f64 x #s(approx (* y (+ z x)) (*.f64 z y))) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 2535301200456459/633825300114114700748351602688 binary64)) (+.f64 #s(approx (* y (+ z x)) (*.f64 z y)) x) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 y #s(literal -3546180557675503/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 452754560349461/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y))))
(if (<=.f64 x #s(literal -4549481507548665/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x))))
(if (<=.f64 z #s(literal -59000000000000 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (if (<=.f64 z #s(literal 2374940160662717/365375409332725729550921208179070754913983135744 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #s(approx (+ x (* y (+ z x))) (*.f64 z y))))
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x)))

soundness891.0ms (18.3%)

Memory
6.3MiB live, 320.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0981854
13441854
29351854
324041854
445161854
561391854
674851854
080411656
070452
1249452
2731452
32093452
44312452
55677452
66804452
77667452
08057422
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 143 to 85 computations (40.6% saved)

preprocess73.0ms (1.5%)

Memory
13.0MiB live, 90.7MiB allocated
Compiler

Compiled 226 to 92 computations (59.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...