Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I

Time bar (total: 8.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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 9 computations (0% saved)

sample762.0ms (9.1%)

Memory
3.2MiB live, 984.5MiB allocated
Samples
495.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 209.0ms
ival-mult: 141.0ms (67.5% of total)
ival-sub: 53.0ms (25.4% of total)
ival-true: 6.0ms (2.9% of total)
exact: 5.0ms (2.4% of total)
ival-assert: 4.0ms (1.9% of total)
Bogosity

explain222.0ms (2.7%)

Memory
-6.4MiB live, 156.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
140-0-(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 y z)
00-0-z
00-0-(-.f64 #s(literal 1 binary64) (*.f64 y z))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))n*o140
Confusion
Predicted +Predicted -
+140
-0242
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1400
-00242
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0242
114
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
179.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 11.0ms (76.8% of total)
ival-sub: 3.0ms (20.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess80.0ms (1%)

Memory
-22.9MiB live, 70.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02870
19065
218663
350463
483163
5105663
6106563
077
0107
1197
2367
3747
41947
52517
63037
74017
84617
95497
105637
05637
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
Symmetry

(negabs x)

(sort y z)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.7%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify19.0ms (0.2%)

Memory
18.2MiB live, 18.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 y z))
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01019
11919
23619
37419
419419
525119
630319
740119
846119
954919
1056319
056319
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (*.f64 y z))
#s(literal 1 binary64)
(*.f64 y z)
y
z
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
#s(literal 1 binary64)
(*.f64 y z)
(*.f64 z y)
y
z

localize20.0ms (0.2%)

Memory
-3.6MiB live, 35.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy0
(*.f64 y z)
accuracy3.3725348094510923
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Samples
16.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (70.5% of total)
ival-sub: 1.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB allocated
Counts
3 → 84
Calls
Call 1
Inputs
#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) y)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) y)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) y)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x y)))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x y)))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x y)))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 y) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 y) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 y) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* x z)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* x z)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* x z)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* x z)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* x z)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* x z)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms
y
@0
((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms
z
@-inf
((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms
y
@-inf
((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms
z
@inf
((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))

simplify163.0ms (2%)

Memory
-1.2MiB live, 143.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043446
1136416
2296416
3488416
42008416
55035416
66541416
77282416
87487416
97593416
107673416
08014416
Stop Event
iter limit
node limit
Counts
84 → 82
Calls
Call 1
Inputs
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* y z))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* y (- (/ 1 y) z))
(* y (- (/ 1 y) z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y z))
(* y (+ (* -1 z) (/ 1 y)))
(* y (+ (* -1 z) (/ 1 y)))
(* y (+ (* -1 z) (/ 1 y)))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
Outputs
x
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* z (- (/ 1 z) y))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* z (- (/ 1 z) y))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* z (- (/ 1 z) y))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* z (+ (* -1 y) (/ 1 z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* z (+ (* -1 y) (/ 1 z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* z (+ (* -1 y) (/ 1 z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
x
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
(* y (+ (* -1 (* x z)) (/ x y)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* y (+ (* -1 (* x z)) (/ x y)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* y (+ (* -1 (* x z)) (/ x y)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* y (- (/ 1 y) z))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* y (- (/ 1 y) z))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* y (- (/ 1 y) z))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* y (+ (* -1 z) (/ 1 y)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* y (+ (* -1 z) (/ 1 y)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* y (+ (* -1 z) (/ 1 y)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* x (- 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* x (- 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* x (- 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* x (- 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* x (- 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* x (- 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* x (- 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* x (- 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* x (- 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* x (- 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* x (- 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))
(* x (- 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) (neg.f64 x))

rewrite528.0ms (6.3%)

Memory
-8.7MiB live, 311.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
13215
219215
3153215
0972613
Stop Event
iter limit
node limit
iter limit
Counts
3 → 618
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 y z)
Outputs
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eval226.0ms (2.7%)

Memory
-8.8MiB live, 122.7MiB allocated
Compiler

Compiled 20 981 to 1 660 computations (92.1% saved)

prune68.0ms (0.8%)

Memory
3.8MiB live, 42.8MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6937700
Fresh000
Picked101
Done000
Total6947701
Accuracy
100.0%
Counts
701 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.7%
(fma.f64 (*.f64 x (neg.f64 z)) y x)
91.9%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
29.4%
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))))
40.5%
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x)))))
56.6%
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))))
50.9%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
44.8%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Compiler

Compiled 204 to 142 computations (30.4% saved)

simplify188.0ms (2.3%)

Memory
12.3MiB live, 84.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 z y #s(literal 1 binary64))
cost-diff0
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))))
cost-diff6976
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff0
(fma.f64 (*.f64 x (neg.f64 y)) z x)
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) y)
cost-diff0
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
cost-diff0
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
cost-diff0
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 x (neg.f64 z))
cost-diff0
(fma.f64 (*.f64 x (neg.f64 z)) y x)
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
027169
048169
197167
2200167
3544163
41507162
52279159
63821157
75027157
86180157
97143157
107567157
08009157
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (neg.f64 z)) y x)
(*.f64 x (neg.f64 z))
x
(neg.f64 z)
z
y
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
x
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
z
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))))
x
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))))
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 z y #s(literal 1 binary64))
z
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))
(neg.f64 (*.f64 z z))
(*.f64 z z)
(/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))
(*.f64 y y)
Outputs
(fma.f64 (*.f64 x (neg.f64 z)) y x)
(fma.f64 y (*.f64 (neg.f64 z) x) x)
(*.f64 x (neg.f64 z))
(*.f64 (neg.f64 z) x)
x
(neg.f64 z)
z
y
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x)
x
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
(*.f64 #s(approx (- 1 (* y z)) (*.f64 y (neg.f64 z))) x)
x
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
#s(approx (- 1 (* y z)) (*.f64 y (neg.f64 z)))
(*.f64 (neg.f64 z) y)
(*.f64 y (neg.f64 z))
(neg.f64 z)
z
y
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(fma.f64 y (*.f64 (neg.f64 z) x) x)
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
x
(neg.f64 y)
y
z
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (/.f64 x (fma.f64 (neg.f64 y) z #s(literal -1 binary64))))
x
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 z y #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))
z
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (/.f64 z (fma.f64 y z #s(literal 1 binary64))) (*.f64 (*.f64 y (neg.f64 z)) y))
(neg.f64 (*.f64 z z))
(*.f64 (neg.f64 z) z)
(*.f64 z z)
(/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))
(*.f64 (/.f64 y (fma.f64 y z #s(literal 1 binary64))) y)
(*.f64 y y)

localize108.0ms (1.3%)

Memory
-12.4MiB live, 38.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.6240254890251372
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy3.3725348094510923
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))))
accuracy14.016875569375731
(/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))
accuracy21.689369728623063
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))
accuracy0
(*.f64 x (neg.f64 y))
accuracy0
(neg.f64 y)
accuracy5.160090808182861
(fma.f64 (*.f64 x (neg.f64 y)) z x)
accuracy0
(*.f64 (neg.f64 z) y)
accuracy0
(neg.f64 z)
accuracy3.3725348094510923
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
accuracy28.252071417190145
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
accuracy3.3725348094510923
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
accuracy35.46573553352291
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy0
(*.f64 x (neg.f64 z))
accuracy0
(neg.f64 z)
accuracy4.011586482280767
(fma.f64 (*.f64 x (neg.f64 z)) y x)
Samples
90.0ms256×0valid
Compiler

Compiled 167 to 29 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-neg: 33.0ms (44.4% of total)
ival-mult: 30.0ms (40.3% of total)
ival-add: 4.0ms (5.4% of total)
ival-pow: 3.0ms (4% of total)
ival-div: 2.0ms (2.7% of total)
ival-sub: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series80.0ms (1%)

Memory
3.1MiB live, 74.6MiB allocated
Counts
17 → 444
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())
#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())
#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))) (patch (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 z y #s(literal 1 binary64)) (patch (fma.f64 z y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ())
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#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) z x) (patch (fma.f64 (*.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z))))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
31.0ms
z
@-inf
((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (+ (pow (+ (* z y) 1) -1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1))) (/ (* y y) (+ (* z y) 1)))
6.0ms
y
@inf
((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (+ (pow (+ (* z y) 1) -1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1))) (/ (* y y) (+ (* z y) 1)))
4.0ms
z
@0
((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (+ (pow (+ (* z y) 1) -1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1))) (/ (* y y) (+ (* z y) 1)))
4.0ms
z
@inf
((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (+ (pow (+ (* z y) 1) -1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1))) (/ (* y y) (+ (* z y) 1)))
4.0ms
x
@0
((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (+ (pow (+ (* z y) 1) -1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (* (neg (* z z)) (/ (* y y) (+ (* z y) 1))) (/ (* y y) (+ (* z y) 1)))

simplify259.0ms (3.1%)

Memory
10.1MiB live, 165.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02883321
19233104
225663034
373683034
081892975
Stop Event
iter limit
node limit
Counts
444 → 434
Calls
Call 1
Inputs
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
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(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
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(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
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(+ 1 (* -1 (* y z)))
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(* -1 (* y z))
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(* -1 (* y z))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
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1
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x
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1
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1
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(+ 1 (* y z))
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(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
(pow y 2)
(+ (* -1 (* (pow y 3) z)) (pow y 2))
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(+ (* z (- (* z (- (* -1 (* (pow y 5) z)) (* -1 (pow y 4)))) (pow y 3))) (pow y 2))
(* -1 (* x (* y z)))
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(* -1 (* x (* y z)))
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(/ 1 (* y z))
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(* y z)
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(* z (+ y (/ 1 z)))
(* z (+ y (/ 1 z)))
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(* z (+ (* -1 y) (/ 1 z)))
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2)))))
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2)))))
(/ y z)
(/ (- y (/ 1 z)) z)
(/ (- (+ y (/ 1 (* y (pow z 2)))) (/ 1 z)) z)
(/ (- (+ y (/ 1 (* y (pow z 2)))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) z)
(* -1 (* x (* y z)))
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(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
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(* -1 (* x z))
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(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
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(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
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(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
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(* -1 (* z (- y (/ 1 z))))
(* -1 (* x (* y z)))
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(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(/ 1 (* y z))
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
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(* -1 (* z (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z))) z)))))
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(* -1 (/ (+ (* -1 y) (/ 1 z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ 1 (* y z)) 1) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z)) 1) z))) z))
x
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(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
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x
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(* -1 (* y z))
x
(+ x (* -1 (* x (* y z))))
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(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
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1
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x
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(+ x (* -1 (* x (* y z))))
1
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1
(+ 1 (* y z))
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(+ 1 (* y z))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (pow z 3))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 4))) (pow z 3)))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* y (+ (* y (+ (* -1 (pow z 4)) (* y (pow z 5)))) (pow z 3)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (* y z))))
(* (pow y 2) (+ 1 (* y (- (* y (pow z 2)) z))))
(* (pow y 2) (+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z))))
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(/ y z)
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(* y (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))))
(* y (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
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(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
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(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(/ 1 (* y z))
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* y z)
(* -1 (* y (- (* -1 z) (/ 1 y))))
(* -1 (* y (- (* -1 z) (/ 1 y))))
(* -1 (* y (- (* -1 z) (/ 1 y))))
(* -1 (* y z))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (+ z (* -1 (/ (- 1 (/ 1 (* y z))) y)))))
(* -1 (* y (+ z (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y))) y)))))
(/ y z)
(* -1 (* y (- (/ 1 (* y (pow z 2))) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
Outputs
x
(+ x (* -1 (* x (* y z))))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(+ x (* -1 (* x (* y z))))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(+ x (* -1 (* x (* y z))))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
x
(+ x (* -1 (* x (* y z))))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(+ x (* -1 (* x (* y z))))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(+ x (* -1 (* x (* y z))))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
x
(+ x (* -1 (* x (* y z))))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(+ x (* -1 (* x (* y z))))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(+ x (* -1 (* x (* y z))))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(+ 1 (* -1 (* y z)))
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(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
x
(+ x (* -1 (* x (* y z))))
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(+ x (* -1 (* x (* y z))))
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(+ x (* -1 (* x (* y z))))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
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x
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(+ x (* -1 (* x (* y z))))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
1
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(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(+ 1 (* z (- (* (pow y 2) z) y)))
(fma.f64 (*.f64 z (fma.f64 z y #s(literal -1 binary64))) y #s(literal 1 binary64))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
(fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 z (fma.f64 z y #s(literal -1 binary64))) y #s(literal 1 binary64)) y)) z #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y z))
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(+ 1 (* y z))
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(+ 1 (* y z))
(fma.f64 z y #s(literal 1 binary64))
(* -1 (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 z) y) y) z)
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(*.f64 (*.f64 (*.f64 z z) (fma.f64 z y #s(literal -1 binary64))) (*.f64 y y))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 z) (pow.f64 y #s(literal 3 binary64))) z)) z) z)
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) z (neg.f64 (pow.f64 y #s(literal 4 binary64)))) z (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 z z))
(pow y 2)
(*.f64 y y)
(+ (* -1 (* (pow y 3) z)) (pow y 2))
(*.f64 (*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) y) y)
(+ (* z (- (* (pow y 4) z) (pow y 3))) (pow y 2))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) z (pow.f64 (neg.f64 y) #s(literal 3 binary64))) z (*.f64 y y))
(+ (* z (- (* z (- (* -1 (* (pow y 5) z)) (* -1 (pow y 4)))) (pow y 3))) (pow y 2))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) (neg.f64 z) (pow.f64 y #s(literal 4 binary64))) z (pow.f64 (neg.f64 y) #s(literal 3 binary64))) z (*.f64 y y))
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
(* z (+ (* -1 (* x y)) (/ x z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
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(* -1 (* x z))
(*.f64 (neg.f64 x) z)
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(*.f64 (neg.f64 x) z)
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(*.f64 (neg.f64 x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(* z (+ (* -1 (* x y)) (/ x z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* z (- (/ 1 z) y))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* z (- (/ 1 z) y))
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(* z (- (/ 1 z) y))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
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(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* z (- (/ 1 z) y))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* z (- (/ 1 z) y))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* -1 (* y z))
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(*.f64 (neg.f64 z) y)
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
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(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
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(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z) y)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) y)) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) z)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) y)) z)
(* y z)
(*.f64 z y)
(* z (+ y (/ 1 z)))
(fma.f64 z y #s(literal 1 binary64))
(* z (+ y (/ 1 z)))
(fma.f64 z y #s(literal 1 binary64))
(* z (+ y (/ 1 z)))
(fma.f64 z y #s(literal 1 binary64))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* z (+ (* -1 y) (/ 1 z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2)))))
(fma.f64 (neg.f64 y) z (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)))
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2)))))
(fma.f64 (neg.f64 y) z (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) (*.f64 z y)) #s(literal -1 binary64)))
(/ y z)
(/.f64 y z)
(/ (- y (/ 1 z)) z)
(/.f64 (-.f64 y (/.f64 #s(literal 1 binary64) z)) z)
(/ (- (+ y (/ 1 (* y (pow z 2)))) (/ 1 z)) z)
(/.f64 (-.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) z)) z)
(/ (- (+ y (/ 1 (* y (pow z 2)))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) z)
(/.f64 (-.f64 y (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) (*.f64 z y)) #s(literal -1 binary64)) z)) z)
(* -1 (* x (* y z)))
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(*.f64 (neg.f64 z) y)
(* z (+ (* -1 y) (/ 1 z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(* z (+ (* -1 y) (/ 1 z)))
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(* z (+ (* -1 y) (/ 1 z)))
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(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
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(*.f64 (neg.f64 x) (*.f64 z y))
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(/ 1 (* y z))
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(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))
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(*.f64 (neg.f64 x) z)
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(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
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(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(* x (- 1 (* y z)))
(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(* x (- 1 (* y z)))
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(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
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(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
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(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
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(* -1 (* x z))
(*.f64 (neg.f64 x) z)
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(*.f64 (neg.f64 x) z)
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(*.f64 (neg.f64 x) z)
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(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
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(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
(* x (+ 1 (* -1 (* y z))))
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(*.f64 (neg.f64 x) y)
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(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
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(*.f64 x (fma.f64 (neg.f64 z) y #s(literal 1 binary64)))
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(*.f64 (neg.f64 x) y)
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(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))

rewrite245.0ms (2.9%)

Memory
11.6MiB live, 362.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027141
048126
1175109
21148109
08979109
Stop Event
iter limit
node limit
iter limit
Counts
17 → 993
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (neg.f64 z)) y x)
(*.f64 x (neg.f64 z))
(neg.f64 z)
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))))
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))))
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 z y #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))
(/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64)))
Outputs
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eval305.0ms (3.7%)

Memory
-6.7MiB live, 458.6MiB allocated
Compiler

Compiled 35 255 to 2 846 computations (91.9% saved)

prune146.0ms (1.8%)

Memory
-19.1MiB live, 163.4MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1 54021 542
Fresh112
Picked145
Done000
Total1 54271 549
Accuracy
100.0%
Counts
1 549 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.7%
(fma.f64 (*.f64 x (neg.f64 z)) y x)
91.9%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
91.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)))
40.5%
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x)))))
39.3%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y)))
50.9%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
44.8%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Compiler

Compiled 69 to 59 computations (14.5% saved)

simplify110.0ms (1.3%)

Memory
33.5MiB live, 151.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
(fma.f64 (*.f64 (neg.f64 y) x) z x)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)))
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)))
cost-diff128
(+.f64 x (*.f64 z (*.f64 y x)))
cost-diff8640
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x)))))
cost-diff0
(*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y)
cost-diff0
#s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))
cost-diff0
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y)))
cost-diff1024
(/.f64 (*.f64 (neg.f64 z) z) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028176
049210
194192
2211180
3817141
42961141
55944141
08360139
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y)))
x
#s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))
(*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y)
(/.f64 (*.f64 (neg.f64 z) z) z)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
y
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x)))))
(-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)))
(*.f64 x x)
x
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))
(*.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (neg.f64 z))
(neg.f64 z)
z
y
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x))))
#s(literal 1 binary64)
(+.f64 x (*.f64 z (*.f64 y x)))
(*.f64 z (*.f64 y x))
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))
(fma.f64 (*.f64 (neg.f64 y) x) z x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
z
Outputs
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y)))
(*.f64 #s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z)) x)
x
#s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 y) z))
(*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y)
(*.f64 (neg.f64 y) z)
(/.f64 (*.f64 (neg.f64 z) z) z)
(neg.f64 z)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
y
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)))
(-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)))
(*.f64 x x)
x
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))
(*.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (neg.f64 z))
(*.f64 (neg.f64 z) x)
(neg.f64 z)
z
y
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) z x))
#s(literal 1 binary64)
(+.f64 x (*.f64 z (*.f64 y x)))
(fma.f64 (*.f64 y x) z x)
(*.f64 z (*.f64 y x))
(*.f64 (*.f64 y x) z)
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x))
(fma.f64 (*.f64 (neg.f64 y) x) z x)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
z

localize126.0ms (1.5%)

Memory
-16.2MiB live, 225.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 y)
accuracy0.19140625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)))
accuracy0.9631043370377526
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))
accuracy5.160090808182861
(fma.f64 (*.f64 (neg.f64 y) x) z x)
accuracy5.467044038706701
(*.f64 (*.f64 x (neg.f64 z)) y)
accuracy6.3887183741292874
(*.f64 z (*.f64 y x))
accuracy10.105398568227004
(-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)))
accuracy32.77380416881273
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x)))))
accuracy0
(neg.f64 z)
accuracy3.3725348094510923
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y)))
accuracy28.252071417190145
#s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))
accuracy31.748822037868784
(/.f64 (*.f64 (neg.f64 z) z) z)
Samples
91.0ms256×0valid
Compiler

Compiled 163 to 30 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 54.0ms (72.4% of total)
ival-div: 9.0ms (12.1% of total)
ival-pow2: 5.0ms (6.7% of total)
ival-sub: 3.0ms (4% of total)
ival-add: 2.0ms (2.7% of total)
ival-neg: 2.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series45.0ms (0.5%)

Memory
17.2MiB live, 132.0MiB allocated
Counts
16 → 444
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y)) (patch #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x))))) (patch (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x))))) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 z (*.f64 y x))) (patch (+.f64 x (*.f64 z (*.f64 y x))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (patch (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (neg.f64 y) x) z x) (patch (fma.f64 (*.f64 (neg.f64 y) x) z x) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (*.f64 z (*.f64 y x)) (patch (*.f64 z (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())) ())
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#s(alt (* x (* y z)) (taylor inf x) (#s(alt (*.f64 z (*.f64 y x)) (patch (*.f64 z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf x) (#s(alt (*.f64 z (*.f64 y x)) (patch (*.f64 z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf x) (#s(alt (*.f64 z (*.f64 y x)) (patch (*.f64 z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))) (patch (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (- (* -1 (* y z)) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x))))) (patch (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (- (* -1 (* y z)) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x))))) (patch (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (- (* -1 (* y z)) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x))))) (patch (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- 1 (* (pow y 2) (pow z 2)))) (- (* -1 (* y z)) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x))))) (patch (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* y z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 z (*.f64 y x))) (patch (+.f64 x (*.f64 z (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* y z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 z (*.f64 y x))) (patch (+.f64 x (*.f64 z (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* y z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 z (*.f64 y x))) (patch (+.f64 x (*.f64 z (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* y z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 z (*.f64 y x))) (patch (+.f64 x (*.f64 z (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (patch (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (patch (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (patch (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* (pow y 2) (pow z 2)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (patch (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) z x) (patch (fma.f64 (*.f64 (neg.f64 y) x) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) z x) (patch (fma.f64 (*.f64 (neg.f64 y) x) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) z x) (patch (fma.f64 (*.f64 (neg.f64 y) x) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* y z) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) z x) (patch (fma.f64 (*.f64 (neg.f64 y) x) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 z (*.f64 y x)) (patch (*.f64 z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 z (*.f64 y x)) (patch (*.f64 z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 z (*.f64 y x)) (patch (*.f64 z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 z (*.f64 y x)) (patch (*.f64 z (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((/ (* (neg z) z) z) (* x (- 1 (* y z))) (- 1 (* y z)) (* (/ (* (neg z) z) z) y) (* (- (* x x) (pow (* (* x (neg z)) y) 2)) (/ 1 (+ x (* z (* y x))))) (+ x (* z (* y x))) (- (* x x) (pow (* (* x (neg z)) y) 2)) (* x x) (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (/ 1 (+ (* (* (neg y) x) z) x)) (+ (* (* (neg y) x) z) x) (* (neg y) x) (neg z) (* z (* y x)) (* (* x (neg z)) y) (neg y))
5.0ms
z
@inf
((/ (* (neg z) z) z) (* x (- 1 (* y z))) (- 1 (* y z)) (* (/ (* (neg z) z) z) y) (* (- (* x x) (pow (* (* x (neg z)) y) 2)) (/ 1 (+ x (* z (* y x))))) (+ x (* z (* y x))) (- (* x x) (pow (* (* x (neg z)) y) 2)) (* x x) (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (/ 1 (+ (* (* (neg y) x) z) x)) (+ (* (* (neg y) x) z) x) (* (neg y) x) (neg z) (* z (* y x)) (* (* x (neg z)) y) (neg y))
3.0ms
y
@-inf
((/ (* (neg z) z) z) (* x (- 1 (* y z))) (- 1 (* y z)) (* (/ (* (neg z) z) z) y) (* (- (* x x) (pow (* (* x (neg z)) y) 2)) (/ 1 (+ x (* z (* y x))))) (+ x (* z (* y x))) (- (* x x) (pow (* (* x (neg z)) y) 2)) (* x x) (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (/ 1 (+ (* (* (neg y) x) z) x)) (+ (* (* (neg y) x) z) x) (* (neg y) x) (neg z) (* z (* y x)) (* (* x (neg z)) y) (neg y))
3.0ms
y
@inf
((/ (* (neg z) z) z) (* x (- 1 (* y z))) (- 1 (* y z)) (* (/ (* (neg z) z) z) y) (* (- (* x x) (pow (* (* x (neg z)) y) 2)) (/ 1 (+ x (* z (* y x))))) (+ x (* z (* y x))) (- (* x x) (pow (* (* x (neg z)) y) 2)) (* x x) (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (/ 1 (+ (* (* (neg y) x) z) x)) (+ (* (* (neg y) x) z) x) (* (neg y) x) (neg z) (* z (* y x)) (* (* x (neg z)) y) (neg y))
3.0ms
x
@0
((/ (* (neg z) z) z) (* x (- 1 (* y z))) (- 1 (* y z)) (* (/ (* (neg z) z) z) y) (* (- (* x x) (pow (* (* x (neg z)) y) 2)) (/ 1 (+ x (* z (* y x))))) (+ x (* z (* y x))) (- (* x x) (pow (* (* x (neg z)) y) 2)) (* x x) (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (/ 1 (+ (* (* (neg y) x) z) x)) (+ (* (* (neg y) x) z) x) (* (neg y) x) (neg z) (* z (* y x)) (* (* x (neg z)) y) (neg y))

simplify222.0ms (2.7%)

Memory
-3.1MiB live, 284.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02093336
15933184
215533112
341883112
084233046
Stop Event
iter limit
node limit
Counts
444 → 434
Calls
Call 1
Inputs
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
x
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(pow x 2)
(+ (* -1 (* (pow x 2) (* (pow y 2) (pow z 2)))) (pow x 2))
(+ (* -1 (* (pow x 2) (* (pow y 2) (pow z 2)))) (pow x 2))
(+ (* -1 (* (pow x 2) (* (pow y 2) (pow z 2)))) (pow x 2))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) x))
(+ (* z (- (/ (* (pow y 2) z) x) (* -1 (/ y x)))) (/ 1 x))
(+ (* z (- (* z (- (/ (* (pow y 3) z) x) (* -1 (/ (pow y 2) x)))) (* -1 (/ y x)))) (/ 1 x))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* y z))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* x (* y z))
(* z (+ (* x y) (/ x z)))
(* z (+ (* x y) (/ x z)))
(* z (+ (* x y) (/ x z)))
(* -1 (* (pow x 2) (* (pow y 2) (pow z 2))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (* (pow x 2) (pow y 2))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (* (pow x 2) (pow y 2))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (* (pow x 2) (pow y 2))))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(/ -1 (* x (* y z)))
(* -1 (/ (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 2) z)))) z))
(/ (- (* -1 (/ (+ (/ 1 (* x (* (pow y 3) z))) (/ 1 (* x (pow y 2)))) z)) (/ 1 (* x y))) z)
(/ (- (* -1 (/ (+ (/ 1 (* x (* (pow y 4) z))) (/ 1 (* x (pow y 3)))) (pow z 2))) (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 2) z))))) z)
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* x (* y z))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* -1 (* (pow x 2) (* (pow y 2) (pow z 2))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (* (pow x 2) (pow y 2))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (* (pow x 2) (pow y 2))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (* (pow x 2) (pow y 2))))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(/ -1 (* x (* y z)))
(* -1 (/ (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 2) z)))) z))
(* -1 (/ (+ (/ 1 (* x y)) (+ (/ 1 (* x (* (pow y 2) z))) (/ 1 (* x (* (pow y 3) (pow z 2)))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (* (pow y 4) z))) (/ 1 (* x (pow y 3)))) z)) (/ 1 (* x (pow y 2)))) z)) (/ 1 (* x y))) z))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
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x
(+ x (* -1 (* x (* y z))))
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1
(+ 1 (* -1 (* y z)))
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(pow x 2)
(+ (* -1 (* (pow x 2) (* (pow y 2) (pow z 2)))) (pow x 2))
(+ (* -1 (* (pow x 2) (* (pow y 2) (pow z 2)))) (pow x 2))
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x
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(/ 1 x)
(+ (/ 1 x) (/ (* y z) x))
(+ (* y (- (/ (* y (pow z 2)) x) (* -1 (/ z x)))) (/ 1 x))
(+ (* y (- (* y (- (/ (* y (pow z 3)) x) (* -1 (/ (pow z 2) x)))) (* -1 (/ z x)))) (/ 1 x))
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Outputs
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
x
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(*.f64 (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) x)
1
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(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
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(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
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(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(* -1 (* y z))
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(* -1 (* (pow x 2) (* (pow y 2) (pow z 2))))
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(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (* (pow x 2) (pow y 2))))
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(/ -1 (* x (* y z)))
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(/ (- (* -1 (/ (+ (/ 1 (* x (* (pow y 3) z))) (/ 1 (* x (pow y 2)))) z)) (/ 1 (* x y))) z)
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(/ (- (* -1 (/ (+ (/ 1 (* x (* (pow y 4) z))) (/ 1 (* x (pow y 3)))) (pow z 2))) (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 2) z))))) z)
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(* -1 (* x (* y z)))
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(* -1 (* y z))
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rewrite198.0ms (2.4%)

Memory
-0.9MiB live, 277.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028134
049158
1176148
2119298
0910797
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 325
Calls
Call 1
Inputs
(/.f64 (*.f64 (neg.f64 z) z) z)
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y)))
#s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y))
(*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y)
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x)))))
(+.f64 x (*.f64 z (*.f64 y x)))
(-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x))
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(neg.f64 z)
(*.f64 z (*.f64 y x))
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(neg.f64 y)
Outputs
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eval501.0ms (6%)

Memory
-2.0MiB live, 376.8MiB allocated
Compiler

Compiled 49 622 to 3 560 computations (92.8% saved)

prune156.0ms (1.9%)

Memory
23.4MiB live, 108.9MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1 80331 806
Fresh000
Picked213
Done044
Total1 80581 813
Accuracy
100.0%
Counts
1 813 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.1%
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x)))))
93.7%
(fma.f64 (*.f64 x (neg.f64 z)) y x)
91.9%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
91.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)))
51.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)))
50.9%
(*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
50.9%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
44.8%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Compiler

Compiled 88 to 69 computations (21.6% saved)

simplify304.0ms (3.6%)

Memory
-2.0MiB live, 151.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff256
(*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z)))
cost-diff448
(/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x)))
cost-diff576
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64))
cost-diff768
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x)))))
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 y x))
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)
cost-diff0
#s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)))
cost-diff0
(/.f64 #s(literal -1 binary64) z)
cost-diff0
#s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
cost-diff0
(*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
cost-diff960
(/.f64 y (/.f64 #s(literal -1 binary64) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033218
054218
1115214
2273206
31262203
44453194
56024194
66822194
77177194
87339194
97457194
08032187
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
x
#s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(/.f64 y (/.f64 #s(literal -1 binary64) z))
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)
(/.f64 #s(literal -1 binary64) (*.f64 y x))
#s(literal -1 binary64)
(*.f64 y x)
y
x
z
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z)))
(*.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (neg.f64 z))
x
(neg.f64 z)
z
y
#s(literal -1 binary64)
(/.f64 y (fma.f64 (*.f64 y x) z x))
(fma.f64 (*.f64 y x) z x)
(*.f64 y x)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))))
(/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x)))
(*.f64 x x)
(neg.f64 (fma.f64 (*.f64 y x) z x))
Outputs
(*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
(*.f64 #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) x)
x
#s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
(/.f64 y (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 z) y)
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)
(/.f64 #s(literal -1 binary64) (*.f64 y x))
#s(literal -1 binary64)
(*.f64 y x)
y
x
z
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x)))))
(*.f64 x (fma.f64 (*.f64 z y) (*.f64 (*.f64 z y) (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x) z)
(*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z)))
(*.f64 (*.f64 (*.f64 z x) z) (*.f64 y x))
(*.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 x (neg.f64 z))
(*.f64 (neg.f64 z) x)
x
(neg.f64 z)
z
y
#s(literal -1 binary64)
(/.f64 y (fma.f64 (*.f64 y x) z x))
(fma.f64 (*.f64 y x) z x)
(*.f64 y x)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 1 binary64))) x)
(/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal 1 binary64))) x)
(*.f64 x x)
(neg.f64 (fma.f64 (*.f64 y x) z x))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) (neg.f64 x))

localize220.0ms (2.6%)

Memory
-48.2MiB live, 93.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy5.467044038706701
(*.f64 (*.f64 x (neg.f64 z)) y)
accuracy5.892839134167648
(/.f64 y (fma.f64 (*.f64 y x) z x))
accuracy16.355257742678788
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x)))))
accuracy24.23704932545212
(/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x)))
accuracy0.19140625
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)))
accuracy0.46576131845061386
(/.f64 #s(literal -1 binary64) (*.f64 y x))
accuracy6.683656447943328
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)
accuracy28.281063022718996
#s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))
accuracy0
(/.f64 #s(literal -1 binary64) z)
accuracy0.15234375
(/.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy3.3725348094510923
(*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
accuracy28.252071417190145
#s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
Samples
55.0ms256×0valid
Compiler

Compiled 200 to 35 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 16.0ms (40.8% of total)
ival-div: 14.0ms (35.7% of total)
ival-neg: 4.0ms (10.2% of total)
ival-add: 3.0ms (7.6% of total)
ival-sub: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series109.0ms (1.3%)

Memory
7.6MiB live, 83.3MiB allocated
Counts
14 → 444
Calls
Call 1
Inputs
#s(alt (/.f64 y (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 y (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) (patch #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)) (patch #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (patch (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))) (patch (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 (*.f64 y x) z x)) (patch (/.f64 y (fma.f64 (*.f64 y x) z x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (/.f64 y (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 y (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (/.f64 y (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 y (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (/.f64 y (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 y (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (/.f64 y (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 y (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) (patch #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) (patch #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) (patch #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) (patch #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 z) (#s(alt #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)) (patch #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 x) (/ (* y z) x)) (taylor 0 z) (#s(alt #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)) (patch #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ (* (pow y 2) z) x) (* -1 (/ y x)))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)) (patch #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (/ (* (pow y 3) z) x) (* -1 (/ (pow y 2) x)))) (* -1 (/ y x)))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)) (patch #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (* y z))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- 1 (* -1 (* y z))))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- 1 (* -1 (* y z))))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- 1 (* -1 (* y z))))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- 1 (* -1 (* y z))))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (* y (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (patch (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (* y (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (patch (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (* y (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (patch (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (* y (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (patch (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (- 1 (* -1 (* y z))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))) (patch (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (- 1 (* -1 (* y z))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))) (patch (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (- 1 (* -1 (* y z))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))) (patch (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x (- 1 (* -1 (* y z))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))) (patch (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (* y (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (* y (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (* y (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (* y (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- (* -1 (* y z)) 1)))) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 (*.f64 y x) z x)) (patch (/.f64 y (fma.f64 (*.f64 y x) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- (* -1 (* y z)) 1)))) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 (*.f64 y x) z x)) (patch (/.f64 y (fma.f64 (*.f64 y x) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- (* -1 (* y z)) 1)))) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 (*.f64 y x) z x)) (patch (/.f64 y (fma.f64 (*.f64 y x) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (* x (- (* -1 (* y z)) 1)))) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 (*.f64 y x) z x)) (patch (/.f64 y (fma.f64 (*.f64 y x) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
37.0ms
y
@-inf
((/ y (/ -1 z)) (* x (- 1 (* y z))) (- 1 (* y z)) (/ -1 z) (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (/ 1 (+ (* (* (neg y) x) z) x)) (/ (/ -1 (* y x)) z) (/ -1 (* y x)) (+ (* (/ (* (* (* x (neg z)) y) (* x (neg z))) -1) (/ y (+ (* (* y x) z) x))) (neg (/ (* x x) (neg (+ (* (* y x) z) x))))) (/ (* (* (* x (neg z)) y) (* x (neg z))) -1) (/ (* x x) (neg (+ (* (* y x) z) x))) (* (* (* x (neg z)) y) (* x (neg z))) (/ y (+ (* (* y x) z) x)) (* (* x (neg z)) y))
5.0ms
y
@inf
((/ y (/ -1 z)) (* x (- 1 (* y z))) (- 1 (* y z)) (/ -1 z) (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (/ 1 (+ (* (* (neg y) x) z) x)) (/ (/ -1 (* y x)) z) (/ -1 (* y x)) (+ (* (/ (* (* (* x (neg z)) y) (* x (neg z))) -1) (/ y (+ (* (* y x) z) x))) (neg (/ (* x x) (neg (+ (* (* y x) z) x))))) (/ (* (* (* x (neg z)) y) (* x (neg z))) -1) (/ (* x x) (neg (+ (* (* y x) z) x))) (* (* (* x (neg z)) y) (* x (neg z))) (/ y (+ (* (* y x) z) x)) (* (* x (neg z)) y))
5.0ms
z
@inf
((/ y (/ -1 z)) (* x (- 1 (* y z))) (- 1 (* y z)) (/ -1 z) (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (/ 1 (+ (* (* (neg y) x) z) x)) (/ (/ -1 (* y x)) z) (/ -1 (* y x)) (+ (* (/ (* (* (* x (neg z)) y) (* x (neg z))) -1) (/ y (+ (* (* y x) z) x))) (neg (/ (* x x) (neg (+ (* (* y x) z) x))))) (/ (* (* (* x (neg z)) y) (* x (neg z))) -1) (/ (* x x) (neg (+ (* (* y x) z) x))) (* (* (* x (neg z)) y) (* x (neg z))) (/ y (+ (* (* y x) z) x)) (* (* x (neg z)) y))
5.0ms
x
@-inf
((/ y (/ -1 z)) (* x (- 1 (* y z))) (- 1 (* y z)) (/ -1 z) (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (/ 1 (+ (* (* (neg y) x) z) x)) (/ (/ -1 (* y x)) z) (/ -1 (* y x)) (+ (* (/ (* (* (* x (neg z)) y) (* x (neg z))) -1) (/ y (+ (* (* y x) z) x))) (neg (/ (* x x) (neg (+ (* (* y x) z) x))))) (/ (* (* (* x (neg z)) y) (* x (neg z))) -1) (/ (* x x) (neg (+ (* (* y x) z) x))) (* (* (* x (neg z)) y) (* x (neg z))) (/ y (+ (* (* y x) z) x)) (* (* x (neg z)) y))
5.0ms
x
@inf
((/ y (/ -1 z)) (* x (- 1 (* y z))) (- 1 (* y z)) (/ -1 z) (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (/ 1 (+ (* (* (neg y) x) z) x)) (/ (/ -1 (* y x)) z) (/ -1 (* y x)) (+ (* (/ (* (* (* x (neg z)) y) (* x (neg z))) -1) (/ y (+ (* (* y x) z) x))) (neg (/ (* x x) (neg (+ (* (* y x) z) x))))) (/ (* (* (* x (neg z)) y) (* x (neg z))) -1) (/ (* x x) (neg (+ (* (* y x) z) x))) (* (* (* x (neg z)) y) (* x (neg z))) (/ y (+ (* (* y x) z) x)) (* (* x (neg z)) y))

simplify201.0ms (2.4%)

Memory
19.1MiB live, 296.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03844174
111164017
229653977
378893977
081453908
Stop Event
iter limit
node limit
Counts
444 → 438
Calls
Call 1
Inputs
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) x))
(+ (* z (- (/ (* (pow y 2) z) x) (* -1 (/ y x)))) (/ 1 x))
(+ (* z (- (* z (- (/ (* (pow y 3) z) x) (* -1 (/ (pow y 2) x)))) (* -1 (/ y x)))) (/ 1 x))
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
x
(- (* -1 (* x (* y z))) (* -1 x))
(- (* -1 (* x (* y z))) (* -1 x))
(- (* -1 (* x (* y z))) (* -1 x))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 x)
(+ (* -1 x) (* x (* y z)))
(+ (* -1 x) (* z (+ (* -1 (* x (* (pow y 2) z))) (* x y))))
(+ (* -1 x) (* z (+ (* x y) (* z (+ (* -1 (* x (pow y 2))) (* x (* (pow y 3) z)))))))
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(/ y x)
(+ (* -1 (/ (* (pow y 2) z) x)) (/ y x))
(+ (* z (- (/ (* (pow y 3) z) x) (/ (pow y 2) x))) (/ y x))
(+ (* z (- (* z (- (* -1 (/ (* (pow y 4) z) x)) (* -1 (/ (pow y 3) x)))) (/ (pow y 2) x))) (/ y x))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* y z))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(/ -1 (* x (* y z)))
(* -1 (/ (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 2) z)))) z))
(/ (- (* -1 (/ (+ (/ 1 (* x (* (pow y 3) z))) (/ 1 (* x (pow y 2)))) z)) (/ 1 (* x y))) z)
(/ (- (* -1 (/ (+ (/ 1 (* x (* (pow y 4) z))) (/ 1 (* x (pow y 3)))) (pow z 2))) (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 2) z))))) z)
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 (/ x (* y z)))
(/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z)
(/ (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z)
(/ (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (+ (/ x (* (pow y 2) z)) (/ x (* (pow y 4) (pow z 3)))))) z)
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(/ 1 (* x z))
(/ (- (/ 1 x) (/ 1 (* x (* y z)))) z)
(/ (- (+ (/ 1 x) (/ 1 (* x (* (pow y 2) (pow z 2))))) (/ 1 (* x (* y z)))) z)
(/ (- (+ (/ 1 x) (/ 1 (* x (* (pow y 2) (pow z 2))))) (+ (/ 1 (* x (* y z))) (/ 1 (* x (* (pow y 3) (pow z 3)))))) z)
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(/ -1 (* x (* y z)))
(* -1 (/ (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 2) z)))) z))
(* -1 (/ (+ (/ 1 (* x y)) (+ (/ 1 (* x (* (pow y 2) z))) (/ 1 (* x (* (pow y 3) (pow z 2)))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (* (pow y 4) z))) (/ 1 (* x (pow y 3)))) z)) (/ 1 (* x (pow y 2)))) z)) (/ 1 (* x y))) z))
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 (/ x (* y z)))
(* -1 (/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 3) z))) (/ x (pow y 2))) z)) (/ x y)) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 4) z))) (/ x (pow y 3))) z)) (/ x (pow y 2))) z)) (/ x y)) z))
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(/ 1 (* x z))
(* -1 (/ (- (/ 1 (* x (* y z))) (/ 1 x)) z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (* (pow y 2) z))) (/ 1 (* x y))) z)) (/ 1 x)) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (* (pow y 3) z))) (/ 1 (* x (pow y 2)))) z)) (/ 1 (* x y))) z)) (/ 1 x)) z))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) x))
(+ (* y (- (/ (* y (pow z 2)) x) (* -1 (/ z x)))) (/ 1 x))
(+ (* y (- (* y (- (/ (* y (pow z 3)) x) (* -1 (/ (pow z 2) x)))) (* -1 (/ z x)))) (/ 1 x))
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
x
(- (* -1 (* x (* y z))) (* -1 x))
(- (* -1 (* x (* y z))) (* -1 x))
(- (* -1 (* x (* y z))) (* -1 x))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 (* (pow x 2) (* y (pow z 2))))
(* -1 x)
(+ (* -1 x) (* x (* y z)))
(+ (* -1 x) (* y (+ (* -1 (* x (* y (pow z 2)))) (* x z))))
(+ (* -1 x) (* y (+ (* x z) (* y (+ (* -1 (* x (pow z 2))) (* x (* y (pow z 3))))))))
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(/ y x)
(* y (+ (* -1 (/ (* y z) x)) (/ 1 x)))
(* y (+ (* y (- (/ (* y (pow z 2)) x) (/ z x))) (/ 1 x)))
(* y (+ (* y (- (* y (- (* -1 (/ (* y (pow z 3)) x)) (* -1 (/ (pow z 2) x)))) (/ z x))) (/ 1 x)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* y (- (/ 1 y) z))
(* y (- (/ 1 y) z))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(/ -1 (* x (* y z)))
(* -1 (/ (+ (/ 1 (* x z)) (/ 1 (* x (* y (pow z 2))))) y))
(/ (- (* -1 (/ (+ (/ 1 (* x (* y (pow z 3)))) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y)
(/ (- (* -1 (/ (+ (/ 1 (* x (* y (pow z 4)))) (/ 1 (* x (pow z 3)))) (pow y 2))) (+ (/ 1 (* x z)) (/ 1 (* x (* y (pow z 2)))))) y)
(/ -1 (* x (* y z)))
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(/ (+ (* -1 (/ x z)) (/ x (* y (pow z 2)))) y)
(/ (+ (* -1 (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y)
(/ (+ (* -1 (/ x z)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (+ (/ x (* y (pow z 2))) (/ x (* (pow y 3) (pow z 4)))))) y)
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(/ 1 (* x z))
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(- (+ (/ 1 (* x z)) (/ 1 (* x (* (pow y 2) (pow z 3))))) (/ 1 (* x (* y (pow z 2)))))
(- (+ (/ 1 (* x z)) (/ 1 (* x (* (pow y 2) (pow z 3))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* (pow y 3) (pow z 4))))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
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(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
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(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
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(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
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(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
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(/ -1 (* x (* y z)))
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(* -1 (/ (+ (/ 1 (* x z)) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* (pow y 2) (pow z 3)))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (* y (pow z 4)))) (/ 1 (* x (pow z 3)))) y)) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y))
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(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* y (pow z 3)))) (/ x (pow z 2))) y)) (/ x z)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* y (pow z 4)))) (/ x (pow z 3))) y)) (/ x (pow z 2))) y)) (/ x z)) y))
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(/ 1 (* x z))
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(/ -1 (* x y))
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(* -1 (* (pow x 2) (* y (pow z 2))))
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(* -1 (/ x (+ 1 (* y z))))
(* -1 (/ x (+ 1 (* y z))))
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(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
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(/ y (* x (+ 1 (* y z))))
(/ y (* x (+ 1 (* y z))))
(/ y (* x (+ 1 (* y z))))
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(/ -1 (* x (- (* y z) 1)))
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(/ -1 (* x (- (* y z) 1)))
(/ -1 (* x (- (* y z) 1)))
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
(/ -1 (* x (* y z)))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* -1 (* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- 1 (* -1 (* y z)))))))
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(* -1 (* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- 1 (* -1 (* y z)))))))
(* -1 (* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- 1 (* -1 (* y z)))))))
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(* -1 (/ x (- 1 (* -1 (* y z)))))
(* -1 (/ x (- 1 (* -1 (* y z)))))
(* -1 (/ x (- 1 (* -1 (* y z)))))
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(* (pow x 2) (* y (pow z 2)))
(* (pow x 2) (* y (pow z 2)))
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(* -1 (/ y (* x (- (* -1 (* y z)) 1))))
(* -1 (/ y (* x (- (* -1 (* y z)) 1))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
Outputs
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
x
(+ x (* -1 (* x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(+ x (* -1 (* x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(+ x (* -1 (* x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
x
(+ x (* -1 (* x (* y z))))
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(+ x (* -1 (* x (* y z))))
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(+ x (* -1 (* x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (* y z) x))
(fma.f64 (/.f64 z x) y (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (/ (* (pow y 2) z) x) (* -1 (/ y x)))) (/ 1 x))
(fma.f64 (fma.f64 z (/.f64 (*.f64 z y) x) (/.f64 z x)) y (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (* z (- (/ (* (pow y 3) z) x) (* -1 (/ (pow y 2) x)))) (* -1 (/ y x)))) (/ 1 x))
(fma.f64 (fma.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z y) x) y (/.f64 y x))) z (/.f64 y x)) z (/.f64 #s(literal 1 binary64) x))
(/ -1 (* x (* y z)))
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(/ -1 (* x (* y z)))
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(/ -1 (* x (* y z)))
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(/ -1 (* x (* y z)))
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x
(- (* -1 (* x (* y z))) (* -1 x))
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(- (* -1 (* x (* y z))) (* -1 x))
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(- (* -1 (* x (* y z))) (* -1 x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* -1 (* (pow x 2) (* y (pow z 2))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) (neg.f64 z))
(* -1 (* (pow x 2) (* y (pow z 2))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) (neg.f64 z))
(* -1 (* (pow x 2) (* y (pow z 2))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) (neg.f64 z))
(* -1 (* (pow x 2) (* y (pow z 2))))
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(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x (* y z)))
(*.f64 (fma.f64 z y #s(literal -1 binary64)) x)
(+ (* -1 x) (* z (+ (* -1 (* x (* (pow y 2) z))) (* x y))))
(fma.f64 (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)) y (neg.f64 x))
(+ (* -1 x) (* z (+ (* x y) (* z (+ (* -1 (* x (pow y 2))) (* x (* (pow y 3) z)))))))
(fma.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) z (*.f64 (neg.f64 y) y))) z (*.f64 x y)) z (neg.f64 x))
(* (pow x 2) (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) z)
(* (pow x 2) (* y (pow z 2)))
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(* (pow x 2) (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) z)
(* (pow x 2) (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) z)
(/ y x)
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(*.f64 (fma.f64 (/.f64 z (neg.f64 x)) y (/.f64 #s(literal 1 binary64) x)) y)
(+ (* z (- (/ (* (pow y 3) z) x) (/ (pow y 2) x))) (/ y x))
(fma.f64 (fma.f64 (/.f64 z x) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 y) (/.f64 y x))) z (/.f64 y x))
(+ (* z (- (* z (- (* -1 (/ (* (pow y 4) z) x)) (* -1 (/ (pow y 3) x)))) (/ (pow y 2) x))) (/ y x))
(fma.f64 (fma.f64 (neg.f64 y) (/.f64 y x) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) z)) z (/.f64 y x))
(* -1 (* x (* y z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
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(-.f64 #s(literal 1 binary64) (*.f64 z y))
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(/ -1 z)
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(/ -1 z)
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(/ -1 z)
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(* -1 (* x (* y z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
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(/ -1 (* x (* y z)))
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(* -1 (/ (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 2) z)))) z))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) y) z) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
(/ (- (* -1 (/ (+ (/ 1 (* x (* (pow y 3) z))) (/ 1 (* x (pow y 2)))) z)) (/ 1 (* x y))) z)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
(/ (- (* -1 (/ (+ (/ 1 (* x (* (pow y 4) z))) (/ 1 (* x (pow y 3)))) (pow z 2))) (+ (/ 1 (* x y)) (/ 1 (* x (* (pow y 2) z))))) z)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) z) x)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
(/ -1 (* x (* y z)))
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(/ -1 (* x (* y z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
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(* -1 (* (pow x 2) (* y (pow z 2))))
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(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) (neg.f64 z))
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(/ (+ (* -1 (/ x y)) (/ x (* (pow y 2) z))) z)
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(/ (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (+ (/ x (* (pow y 2) z)) (/ x (* (pow y 4) (pow z 3)))))) z)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 x y) y) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) z) (-.f64 (/.f64 x y) (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 3 binary64))))) z)
(* (pow x 2) (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) z)
(* (pow x 2) (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) z)
(* (pow x 2) (* y (pow z 2)))
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(/ 1 (* x z))
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(* -1 (* x (- (* -1 (/ (* (pow y 2) (pow z 2)) (- (* -1 (* y z)) 1))) (/ 1 (- 1 (* -1 (* y z)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal 1 binary64)))) (neg.f64 x))
(* -1 (* (pow x 2) (* y (pow z 2))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) (neg.f64 z))
(* -1 (* (pow x 2) (* y (pow z 2))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) (neg.f64 z))
(* -1 (* (pow x 2) (* y (pow z 2))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) (neg.f64 z))
(* -1 (* (pow x 2) (* y (pow z 2))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) (neg.f64 z))
(* -1 (/ x (- 1 (* -1 (* y z)))))
(/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))
(* -1 (/ x (- 1 (* -1 (* y z)))))
(/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))
(* -1 (/ x (- 1 (* -1 (* y z)))))
(/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))
(* -1 (/ x (- 1 (* -1 (* y z)))))
(/.f64 x (fma.f64 (neg.f64 z) y #s(literal -1 binary64)))
(* (pow x 2) (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) z)
(* (pow x 2) (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) z)
(* (pow x 2) (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) z)
(* (pow x 2) (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) z) z)
(* -1 (/ y (* x (- (* -1 (* y z)) 1))))
(/.f64 (/.f64 y (fma.f64 z y #s(literal 1 binary64))) x)
(* -1 (/ y (* x (- (* -1 (* y z)) 1))))
(/.f64 (/.f64 y (fma.f64 z y #s(literal 1 binary64))) x)
(* -1 (/ y (* x (- (* -1 (* y z)) 1))))
(/.f64 (/.f64 y (fma.f64 z y #s(literal 1 binary64))) x)
(* -1 (/ y (* x (- (* -1 (* y z)) 1))))
(/.f64 (/.f64 y (fma.f64 z y #s(literal 1 binary64))) x)
(* -1 (* x (* y z)))
(*.f64 (neg.f64 z) (*.f64 x y))
(* -1 (* x (* y z)))
(*.f64 (neg.f64 z) (*.f64 x y))
(* -1 (* x (* y z)))
(*.f64 (neg.f64 z) (*.f64 x y))
(* -1 (* x (* y z)))
(*.f64 (neg.f64 z) (*.f64 x y))

rewrite185.0ms (2.2%)

Memory
20.3MiB live, 215.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033165
054164
1218135
21701124
08855124
Stop Event
iter limit
node limit
iter limit
Counts
14 → 595
Calls
Call 1
Inputs
(/.f64 y (/.f64 #s(literal -1 binary64) z))
(*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
#s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)))
#s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64))
(/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x)))
(*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z)))
(/.f64 y (fma.f64 (*.f64 y x) z x))
(*.f64 (*.f64 x (neg.f64 z)) y)
Outputs
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eval552.0ms (6.6%)

Memory
-12.6MiB live, 233.6MiB allocated
Compiler

Compiled 26 571 to 2 047 computations (92.3% saved)

prune130.0ms (1.6%)

Memory
3.4MiB live, 81.7MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New1 02941 033
Fresh000
Picked213
Done145
Total1 03291 041
Accuracy
100.0%
Counts
1 041 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.7%
(fma.f64 (*.f64 x (neg.f64 z)) y x)
91.9%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
91.5%
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x)
52.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) z))))
52.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
50.9%
(*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
50.9%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
44.8%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
52.3%
#s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))
Compiler

Compiled 296 to 157 computations (47% saved)

regimes74.0ms (0.9%)

Memory
-26.0MiB live, 58.2MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(fma.f64 (*.f64 x (neg.f64 z)) y x)
(*.f64 x #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) z x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (*.f64 x y))) x)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (neg y) x) z) x)) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) (*.f64 x (neg.f64 z))) #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y x) z x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 y x) z x)))))
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 (*.f64 y y) (fma.f64 z y #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))))
Outputs
(fma.f64 (*.f64 x (neg.f64 z)) y x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Calls

6 calls:

30.0ms
x
22.0ms
(*.f64 y z)
5.0ms
z
5.0ms
y
5.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Results
AccuracySegmentsBranch
98.3%2x
96.8%2y
96.6%2z
99.8%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
99.8%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
99.8%3(*.f64 y z)
Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes10.0ms (0.1%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (*.f64 x (neg.f64 y)) z x)
Outputs
#s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
#s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))
Calls

4 calls:

3.0ms
x
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
2.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
2.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
99.8%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
99.8%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
99.8%3(*.f64 y z)
97.9%2x
Compiler

Compiled 16 to 20 computations (-25% saved)

regimes48.0ms (0.6%)

Memory
-14.4MiB live, 25.1MiB allocated
Counts
3 → 4
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
Outputs
#s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))
Calls

6 calls:

38.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
2.0ms
x
2.0ms
z
2.0ms
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Results
AccuracySegmentsBranch
76.9%3z
76.6%3y
56.8%3x
83.7%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
95.6%4(-.f64 #s(literal 1 binary64) (*.f64 y z))
95.6%4(*.f64 y z)
Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes3.0ms (0%)

Memory
6.7MiB live, 6.6MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))
Outputs
#s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))
Calls

2 calls:

1.0ms
(*.f64 y z)
1.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
Results
AccuracySegmentsBranch
93.4%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
93.4%3(*.f64 y z)
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes47.0ms (0.6%)

Memory
-22.9MiB live, 16.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Outputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Calls

6 calls:

40.0ms
x
1.0ms
z
1.0ms
y
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
1.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
44.8%1x
44.8%1y
44.8%1z
44.8%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
44.8%1(-.f64 #s(literal 1 binary64) (*.f64 y z))
44.8%1(*.f64 y z)
Compiler

Compiled 18 to 26 computations (-44.4% saved)

bsearch10.0ms (0.1%)

Memory
19.9MiB live, 19.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
6.857236115721787e-134
3.9516832758210526e-132
Samples
5.0ms112×0valid
Compiler

Compiled 108 to 118 computations (-9.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (87.4% of total)
ival-sub: 1.0ms (43.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3519608674571981e+83
6.414943151811084e+85
0.0ms
-1.6640535269015055e+202
-1.857213500195784e+194
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.016289223439842397
17.303797220667132
0.0ms
-5577196526.916061
-0.05501385319824694
0.0ms
-1.6640535269015055e+202
-1.857213500195784e+194
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.016289223439842397
17.303797220667132
0.0ms
-5577196526.916061
-0.05501385319824694
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify123.0ms (1.5%)

Memory
-24.6MiB live, 54.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043220
168220
288220
3108220
4116220
5118220
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 6233507505270973/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (fma.f64 (*.f64 x (neg.f64 z)) y x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 (*.f64 y z) #s(literal -9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y))) (if (<=.f64 (*.f64 y z) #s(literal 200000000000000006161332646193051381554050408015286692692179488138827970582662873088 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))))
(if (<=.f64 (*.f64 y z) #s(literal -9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y))) (if (<=.f64 (*.f64 y z) #s(literal -5000000000 binary64)) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (if (<=.f64 (*.f64 y z) #s(literal 5764607523034235/288230376151711744 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y))))))
(if (<=.f64 (*.f64 y z) #s(literal -5000000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y))) (if (<=.f64 (*.f64 y z) #s(literal 5764607523034235/288230376151711744 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Outputs
(if (<=.f64 x #s(literal 6233507505270973/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (fma.f64 (*.f64 x (neg.f64 z)) y x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 x #s(literal 6233507505270973/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (fma.f64 (*.f64 (neg.f64 z) x) y x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))
(if (<=.f64 (*.f64 y z) #s(literal -9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y))) (if (<=.f64 (*.f64 y z) #s(literal 200000000000000006161332646193051381554050408015286692692179488138827970582662873088 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))))
(if (<=.f64 (*.f64 y z) #s(literal -9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (*.f64 (neg.f64 x) y) z)) (if (<=.f64 (*.f64 y z) #s(literal 200000000000000006161332646193051381554050408015286692692179488138827970582662873088 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (*.f64 (neg.f64 x) y) z))))
(if (<=.f64 (*.f64 y z) #s(literal -9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y))) (if (<=.f64 (*.f64 y z) #s(literal -5000000000 binary64)) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) (if (<=.f64 (*.f64 y z) #s(literal 5764607523034235/288230376151711744 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y))))))
(if (<=.f64 (*.f64 y z) #s(literal -9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (*.f64 (neg.f64 x) y) z)) (if (<=.f64 (*.f64 y z) #s(literal -5000000000 binary64)) (*.f64 #s(approx (- 1 (* y z)) (*.f64 y (neg.f64 z))) x) (if (<=.f64 (*.f64 y z) #s(literal 5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (*.f64 (neg.f64 x) y) z)))))
(if (<=.f64 (*.f64 y z) #s(literal -5000000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y))) (if (<=.f64 (*.f64 y z) #s(literal 5764607523034235/288230376151711744 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (neg.f64 z) (*.f64 x y)))))
(if (<=.f64 (*.f64 y z) #s(literal -5000000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (*.f64 (neg.f64 x) y) z)) (if (<=.f64 (*.f64 y z) #s(literal 5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) #s(approx (/ 1 (/ 1 (+ (* (* (neg y) x) z) x))) (*.f64 (*.f64 (neg.f64 x) y) z))))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x)

soundness1.2s (14.7%)

Memory
33.1MiB live, 714.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043446
1136416
2296416
3488416
42008416
55035416
66541416
77282416
87487416
97593416
107673416
08014416
027141
048126
1175109
21148109
08979109
03844174
111164017
229653977
378893977
081453908
02093336
15933184
215533112
341883112
084233046
0715
01015
13215
219215
3153215
0972613
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 265 to 160 computations (39.6% saved)

preprocess314.0ms (3.8%)

Memory
-1.0MiB live, 196.9MiB allocated
Remove

(negabs x)

Compiler

Compiled 666 to 290 computations (56.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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