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

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample1.2s (14.8%)

Memory
15.9MiB live, 848.7MiB allocated
Samples
770.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 317.0ms
ival-mult: 233.0ms (73.4% of total)
ival-sub: 71.0ms (22.4% of total)
ival-true: 6.0ms (1.9% of total)
exact: 5.0ms (1.6% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain80.0ms (1%)

Memory
6.6MiB live, 128.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
130-0-(*.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*o130
Confusion
Predicted +Predicted -
+130
-0243
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1300
-00243
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0243
113
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
42.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (55.2% of total)
ival-sub: 5.0ms (39.4% of total)
ival-true: 1.0ms (7.9% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess52.0ms (0.7%)

Memory
-8.8MiB live, 73.1MiB allocated
Algorithm
egg-herbie
Rules
368×lower-fma.f64
368×lower-fma.f32
256×lower-*.f32
252×lower-*.f64
190×distribute-lft-in
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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify19.0ms (0.2%)

Memory
-9.9MiB live, 28.5MiB 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)))
Rules
368×lower-fma.f64
368×lower-fma.f32
256×lower-*.f32
252×lower-*.f64
98×distribute-lft-in
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

localize30.0ms (0.4%)

Memory
-4.9MiB live, 33.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y z)
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy3.149908418905334
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Samples
11.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (59.7% of total)
ival-sub: 1.0ms (19.9% 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
17.4MiB live, 17.4MiB 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
z
@-inf
((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms
y
@0
((* 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))

simplify139.0ms (1.8%)

Memory
16.7MiB live, 131.5MiB allocated
Algorithm
egg-herbie
Rules
4 784×lower-fma.f64
4 784×lower-fma.f32
2 664×lower-*.f64
2 664×lower-*.f32
1 142×sub-neg
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))

rewrite381.0ms (4.9%)

Memory
-0.3MiB live, 364.2MiB allocated
Rules
22 928×lower-fma.f64
22 928×lower-fma.f32
3 886×lower-*.f32
3 882×lower-*.f64
3 016×lower-/.f64
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
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.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))) (/.f64 #s(literal 1 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))))))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) (pow.f64 (fma.f64 z y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x))
(*.f64 x (fma.f64 z y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (neg.f64 z)) y) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (neg.f64 z)) y) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 z (*.f64 y x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))) (neg.f64 (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))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x))) (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x) (fma.f64 z y #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) x) (-.f64 #s(literal -1 binary64) (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 z y #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (-.f64 #s(literal -1 binary64) (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 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)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x)) (fma.f64 z y #s(literal -1 binary64)))
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(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z y #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 z y #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) z)) (/.f64 z (fma.f64 z y #s(literal 1 binary64)))))
(+.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 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 (*.f64 z z) (fma.f64 z y #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) (/.f64 (*.f64 z y) (fma.f64 z y #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (/.f64 (*.f64 (*.f64 y y) z) (fma.f64 z y #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 z z) y) (fma.f64 z y #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 (fma.f64 z y (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 z) y) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (*.f64 z y) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(+.f64 (*.f64 (neg.f64 z) y) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 1 binary64)))
(+.f64 (*.f64 z y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 z #s(literal -1 binary64))) y))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 z)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y))
(+.f64 #s(literal 1 binary64) (*.f64 z y))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) y))
(*.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 z y)
(*.f64 y z)
(*.f64 #s(literal 1 binary64) (*.f64 z y))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) y))
(/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 0 binary64))))
(neg.f64 (*.f64 (neg.f64 z) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 z y)))
(+.f64 #s(literal 0 binary64) (*.f64 z y))

eval138.0ms (1.8%)

Memory
-4.3MiB live, 234.7MiB allocated
Compiler

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

prune18.0ms (0.2%)

Memory
-9.3MiB live, 66.2MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New6955700
Fresh000
Picked011
Done000
Total6956701
Accuracy
100.0%
Counts
701 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.4%
(fma.f64 (*.f64 x (neg.f64 z)) y x)
95.5%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
32.6%
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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))))))
95.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
49.9%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
45.8%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Compiler

Compiled 127 to 93 computations (26.8% saved)

simplify182.0ms (2.3%)

Memory
-13.8MiB live, 304.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
cost-diff320
(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))))
cost-diff704
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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))))))
cost-diff6848
(-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 x (neg.f64 z))
cost-diff0
(fma.f64 (*.f64 x (neg.f64 z)) y 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 y)
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff0
(fma.f64 (*.f64 x (neg.f64 y)) z x)
Rules
13 584×lower-fma.f32
13 578×lower-fma.f64
3 646×lower-*.f32
3 630×lower-*.f64
2 002×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029232
050232
1102222
2237222
31163209
44225209
56439209
08146202
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
z
(*.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 z)) y x)
(*.f64 x (neg.f64 z))
x
(neg.f64 z)
z
y
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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))))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))
(*.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (neg.f64 z))
(neg.f64 z)
z
y
(/.f64 #s(literal 1 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)))))
#s(literal 1 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))))
(-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))
Outputs
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x)
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
x
(neg.f64 y)
y
z
(*.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 (neg.f64 z) y)) x)
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 z)) y x)
(*.f64 (fma.f64 z (neg.f64 y) #s(literal 1 binary64)) x)
(*.f64 x (neg.f64 z))
(*.f64 (neg.f64 z) x)
x
(neg.f64 z)
z
y
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 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
(/.f64 #s(literal 1 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)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 z y) (fma.f64 (*.f64 z x) y x) x))
#s(literal 1 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))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.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)))
(*.f64 (*.f64 z (fma.f64 (*.f64 z x) y x)) (*.f64 y 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))
#s(literal 2 binary64)
(*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)

localize78.0ms (1%)

Memory
31.5MiB live, 190.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy4.925865897602889
(*.f64 (*.f64 x (neg.f64 z)) y)
accuracy5.042966685830206
(-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))
accuracy6.894485838264528
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
accuracy40.73982237133967
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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))))))
accuracy0
(*.f64 x (neg.f64 z))
accuracy0
(neg.f64 z)
accuracy4.204700705470008
(fma.f64 (*.f64 x (neg.f64 z)) y x)
accuracy0
(*.f64 (neg.f64 z) y)
accuracy0
(neg.f64 z)
accuracy3.149908418905334
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
accuracy29.15650666266223
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
accuracy3.149908418905334
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
accuracy34.837951639342485
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy0
(*.f64 x (neg.f64 y))
accuracy0
(neg.f64 y)
accuracy2.8957909268439046
(fma.f64 (*.f64 x (neg.f64 y)) z x)
Samples
58.0ms256×0valid
Compiler

Compiled 225 to 30 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 16.0ms (39.6% of total)
ival-pow2: 6.0ms (14.8% of total)
ival-pow: 6.0ms (14.8% of total)
ival-add: 4.0ms (9.9% of total)
ival-div: 2.0ms (4.9% of total)
ival-sub: 2.0ms (4.9% of total)
ival-neg: 2.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series58.0ms (0.7%)

Memory
-15.8MiB live, 106.0MiB allocated
Counts
16 → 468
Calls
Call 1
Inputs
#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 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 (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#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 (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) (patch (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) (patch (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (neg.f64 z)) y) (patch (*.f64 (*.f64 x (neg.f64 z)) y) #<representation binary64>) () ())
Outputs
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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 (* -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 (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 (* (pow x 2) (* y z)) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) (patch (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) (patch (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) (patch (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) (patch (-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) (patch (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) (patch (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) (patch (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) (patch (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 z) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (* y z)) (pow x 2)) (taylor 0 z) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2)) (taylor 0 z) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2)) (taylor 0 z) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 z) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) (taylor 0 z) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) (taylor 0 z) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) (patch (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))) #<representation binary64>) () ())) ())
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#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
7.0ms
y
@inf
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (* (* x (neg z)) y))
6.0ms
z
@0
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (* (* x (neg z)) y))
5.0ms
y
@-inf
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (* (* x (neg z)) y))
5.0ms
x
@0
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (* (* x (neg z)) y))
4.0ms
x
@inf
((+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (- 1 (* y z))) (- 1 (* y z)) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (* (* x (neg z)) y) x) (* x (neg z)) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))) (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (* (* x (neg z)) y))

simplify182.0ms (2.3%)

Memory
15.7MiB live, 255.7MiB allocated
Algorithm
egg-herbie
Rules
14 752×lower-fma.f64
14 752×lower-fma.f32
5 950×lower-*.f64
5 950×lower-*.f32
3 004×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02534362
18893924
231233776
082313668
Stop Event
iter limit
node limit
Counts
468 → 458
Calls
Call 1
Inputs
x
(+ x (* -1 (* x (* y z))))
(+ 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))))
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
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
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(* -1 (* y z))
(* -1 z)
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(* -1 z)
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x
(+ x (* -1 (* x (* y z))))
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(+ x (* -1 (* x (* y z))))
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x
(+ x (* -1 (* x (* y z))))
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(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(pow x 2)
(+ (* (pow x 2) (* y z)) (pow x 2))
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(+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2))
(pow x 3)
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
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(* (pow x 2) (* (pow y 2) (pow z 2)))
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(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(* (pow x 2) (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(* (pow z 2) (- (+ (* (pow x 2) (pow y 2)) (/ (pow x 2) (pow z 2))) (* -1 (/ (* (pow x 2) y) z))))
(* (pow z 2) (- (+ (* (pow x 2) (pow y 2)) (/ (pow x 2) (pow z 2))) (* -1 (/ (* (pow x 2) y) z))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
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(* (pow z 3) (+ (* -1 (* (pow x 3) (pow y 3))) (/ (pow x 3) (pow z 3))))
(* (pow z 3) (+ (* -1 (* (pow x 3) (pow y 3))) (/ (pow x 3) (pow z 3))))
(* -1 (* x (* y z)))
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(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
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(* -1 (* x (* y z)))
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(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* y z))
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(* -1 (* x (* y z)))
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(* y (- (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 3) (pow z 2))))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))))))
(* (pow x 2) (* (pow y 2) (pow z 2)))
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(* (pow x 2) (* (pow y 2) (pow z 2)))
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Outputs
x
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 x) (*.f64 z y) x)
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 x) (*.f64 z y) x)
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x
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(fma.f64 (neg.f64 x) (*.f64 z y) x)
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(fma.f64 (neg.f64 x) (*.f64 z y) x)
1
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(fma.f64 (neg.f64 y) z #s(literal 1 binary64))
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(fma.f64 (neg.f64 y) z #s(literal 1 binary64))
(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 y) z #s(literal 1 binary64))
x
(+ x (* -1 (* x (* y z))))
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(fma.f64 (neg.f64 x) (*.f64 z y) x)
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(fma.f64 (neg.f64 x) (*.f64 z y) x)
1
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(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
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(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (neg.f64 x))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))

rewrite268.0ms (3.4%)

Memory
-29.7MiB live, 289.6MiB allocated
Rules
11 960×lower-fma.f32
11 954×lower-fma.f64
4 560×lower-*.f32
4 544×lower-*.f64
3 008×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029158
050130
1198126
21434126
08397125
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 130
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
(*.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)
(neg.f64 z)
(fma.f64 (*.f64 x (neg.f64 z)) y x)
(*.f64 x (neg.f64 z))
(-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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))))))
(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))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
(*.f64 (*.f64 x (neg.f64 z)) y)
Outputs
(*.f64 (/.f64 (pow.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3/2 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (fma.f64 (*.f64 (neg.f64 z) x) y x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (+.f64 x (*.f64 (*.f64 z y) x))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y x) z) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) (fma.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y x) z) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) (fma.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 z) x) y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y x) z) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 z) x) y x) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) (fma.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 (neg.f64 z) x) y x) (pow.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y x) z) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 (*.f64 (neg.f64 z) x) y x) (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) (fma.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 (neg.f64 z) x) y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3/2 binary64)))) (/.f64 (pow.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (fma.f64 x x (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (fma.f64 (*.f64 (neg.f64 z) x) y x)))) (/.f64 (pow.f64 (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 x (*.f64 (*.f64 z y) x))))
(*.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 z) x) y x) (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)))) (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 z) x) y x) (pow.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y x) z) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y x) z) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x))) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 z) x) y x) (pow.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y x) z) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x))) #s(literal -1 binary64))) (fma.f64 x x (*.f64 (*.f64 (*.f64 y x) z) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) (fma.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) (fma.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y x) z) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x)) (fma.f64 (*.f64 (*.f64 (neg.f64 z) x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) y) x) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 6 binary64))) (fma.f64 x (+.f64 x (*.f64 (*.f64 z y) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(pow.f64 (*.f64 (*.f64 (neg.f64 z) x) y) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 y x) z))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) z))
(exp.f64 (log.f64 (*.f64 (*.f64 (neg.f64 z) x) y)))

eval458.0ms (5.9%)

Memory
52.2MiB live, 275.0MiB allocated
Compiler

Compiled 75 077 to 3 920 computations (94.8% saved)

prune228.0ms (2.9%)

Memory
-26.1MiB live, 99.8MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1 96211 963
Fresh000
Picked145
Done011
Total1 96361 969
Accuracy
100.0%
Counts
1 969 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.4%
(fma.f64 (*.f64 x (neg.f64 z)) y x)
95.5%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
8.8%
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
95.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
49.9%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
45.8%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Compiler

Compiled 59 to 51 computations (13.6% saved)

simplify240.0ms (3.1%)

Memory
19.4MiB live, 94.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff128
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
cost-diff320
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
Rules
14 934×lower-fma.f64
14 934×lower-fma.f32
4 870×lower-*.f32
4 854×lower-*.f64
2 182×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028191
042191
187183
2247168
31144157
43748157
55663157
08105151
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))
(*.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (neg.f64 z))
(neg.f64 z)
z
y
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))
#s(literal 1 binary64)
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(*.f64 (*.f64 (*.f64 y y) z) z)
(*.f64 (*.f64 y y) z)
(*.f64 y y)
Outputs
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))
(pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))
(*.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 y (*.f64 (neg.f64 z) x))
(*.f64 x (neg.f64 z))
(*.f64 (neg.f64 z) x)
(neg.f64 z)
z
y
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)
(pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(*.f64 (*.f64 (*.f64 (*.f64 y z) x) z) y)
(*.f64 (*.f64 (*.f64 y y) z) z)
(*.f64 (*.f64 y y) z)
(*.f64 y y)

localize196.0ms (2.5%)

Memory
-12.5MiB live, 26.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy6.894485838264528
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
accuracy7.60006892642862
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
accuracy21.205797856900578
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))
accuracy40.73982237133967
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
Samples
183.0ms256×0valid
Compiler

Compiled 157 to 25 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 172.0ms
ival-pow: 149.0ms (86.7% of total)
ival-mult: 14.0ms (8.2% of total)
ival-div: 2.0ms (1.2% of total)
ival-add: 2.0ms (1.2% of total)
ival-pow2: 2.0ms (1.2% of total)
ival-sub: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series122.0ms (1.6%)

Memory
-0.3MiB live, 43.9MiB allocated
Counts
6 → 192
Calls
Call 1
Inputs
#s(alt (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 z) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) (taylor 0 z) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) (taylor 0 z) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3)) (taylor 0 z) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 z) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (* y z)) (pow x 2)) (taylor 0 z) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2)) (taylor 0 z) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2)) (taylor 0 z) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor 0 z) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor 0 z) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor 0 z) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor 0 z) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ())
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#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
96.0ms
x
@inf
((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x))
3.0ms
x
@-inf
((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x))
3.0ms
x
@0
((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x))
2.0ms
z
@inf
((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x))
2.0ms
y
@inf
((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x))

simplify405.0ms (5.2%)

Memory
-7.9MiB live, 225.7MiB allocated
Algorithm
egg-herbie
Rules
18 194×lower-fma.f64
18 194×lower-fma.f32
5 828×lower-*.f64
5 828×lower-*.f32
3 304×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02332616
18332432
230792288
083672210
Stop Event
iter limit
node limit
Counts
192 → 190
Calls
Call 1
Inputs
x
(+ x (* -1 (* x (* y z))))
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(pow x 3)
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(pow x 2)
(+ (* (pow x 2) (* y z)) (pow x 2))
(+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2))
(+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* (pow z 3) (+ (* -1 (* (pow x 3) (pow y 3))) (/ (pow x 3) (pow z 3))))
(* (pow z 3) (+ (* -1 (* (pow x 3) (pow y 3))) (/ (pow x 3) (pow z 3))))
(* (pow z 3) (+ (* -1 (* (pow x 3) (pow y 3))) (/ (pow x 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* (pow x 2) (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(* (pow z 2) (- (+ (* (pow x 2) (pow y 2)) (/ (pow x 2) (pow z 2))) (* -1 (/ (* (pow x 2) y) z))))
(* (pow z 2) (- (+ (* (pow x 2) (pow y 2)) (/ (pow x 2) (pow z 2))) (* -1 (/ (* (pow x 2) y) z))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* (pow x 3) (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* (pow x 3) (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* (pow x 3) (pow y 3)))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* (pow x 2) (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(* (pow z 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) z)) (* (pow x 2) y)) z)) (* (pow x 2) (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) z)) (* (pow x 2) y)) z)) (* (pow x 2) (pow y 2))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(+ x (* y (- (* y (- (* y (* z (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(pow x 3)
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(pow x 2)
(+ (* (pow x 2) (* y z)) (pow x 2))
(+ (* y (- (* (pow x 2) (* y (pow z 2))) (* -1 (* (pow x 2) z)))) (pow x 2))
(+ (* y (- (* (pow x 2) (* y (pow z 2))) (* -1 (* (pow x 2) z)))) (pow x 2))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (- (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) (pow y 2)))) (* -1 (/ x y))))
(* y (- (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 3) (pow z 2))))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* (pow y 3) (+ (* -1 (* (pow x 3) (pow z 3))) (/ (pow x 3) (pow y 3))))
(* (pow y 3) (+ (* -1 (* (pow x 3) (pow z 3))) (/ (pow x 3) (pow y 3))))
(* (pow y 3) (+ (* -1 (* (pow x 3) (pow z 3))) (/ (pow x 3) (pow y 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* (pow x 2) (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y)))
(* (pow y 2) (- (+ (* (pow x 2) (pow z 2)) (/ (pow x 2) (pow y 2))) (* -1 (/ (* (pow x 2) z) y))))
(* (pow y 2) (- (+ (* (pow x 2) (pow z 2)) (/ (pow x 2) (pow y 2))) (* -1 (/ (* (pow x 2) z) y))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow z 2)) (+ (* -1 (/ x (pow z 2))) (* 2 (/ x (pow z 2))))) y)) (+ (* -1 (/ x z)) (/ x z))) y)) (* -1 x)) y)) (* x z))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* (pow x 3) (pow z 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* (pow x 3) (pow z 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow y 3))) (* (pow x 3) (pow z 3)))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* (pow x 2) (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* (pow x 2) z)) y)) (* (pow x 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* (pow x 2) z)) y)) (* (pow x 2) (pow z 2))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3)))))
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3)))))
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3)))))
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3)))))
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3)))))
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3)))))
(* (pow x 3) (+ 1 (* -1 (* (pow y 3) (pow z 3)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1)))
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1)))
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1)))
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
Outputs
x
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(+ (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (pow x 3))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(pow x 2)
(*.f64 x x)
(+ (* (pow x 2) (* y z)) (pow x 2))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 x x))
(+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* -1 (* x (* y z)))
(*.f64 (neg.f64 z) (*.f64 y x))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* (pow z 3) (+ (* -1 (* (pow x 3) (pow y 3))) (/ (pow x 3) (pow z 3))))
(*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64)))
(* (pow z 3) (+ (* -1 (* (pow x 3) (pow y 3))) (/ (pow x 3) (pow z 3))))
(*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64)))
(* (pow z 3) (+ (* -1 (* (pow x 3) (pow y 3))) (/ (pow x 3) (pow z 3))))
(*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* (pow x 2) (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z))) z) z)
(* (pow z 2) (- (+ (* (pow x 2) (pow y 2)) (/ (pow x 2) (pow z 2))) (* -1 (/ (* (pow x 2) y) z))))
(*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z)))) (*.f64 z z))
(* (pow z 2) (- (+ (* (pow x 2) (pow y 2)) (/ (pow x 2) (pow z 2))) (* -1 (/ (* (pow x 2) y) z))))
(*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z)))) (*.f64 z z))
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* -1 (* x (* y z)))
(*.f64 (neg.f64 z) (*.f64 y x))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* (pow x 3) (pow y 3)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* (pow x 3) (pow y 3)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* (pow x 3) (pow y 3)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* (pow x 2) (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z))) z) z)
(* (pow z 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) z)) (* (pow x 2) y)) z)) (* (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z)))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) z)) (* (pow x 2) y)) z)) (* (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z)))) (*.f64 z z))
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
x
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* y (* z (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(pow x 3)
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(*.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) x)
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* (pow y 3) (pow z 3)) 1)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)

rewrite376.0ms (4.8%)

Memory
6.2MiB live, 266.8MiB allocated
Rules
8 118×lower-fma.f64
8 118×lower-fma.f32
5 402×lower-*.f32
5 386×lower-*.f64
3 238×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028113
042111
1155107
2103899
0842897
Stop Event
iter limit
node limit
iter limit
Counts
6 → 361
Calls
Call 1
Inputs
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
Outputs
(*.f64 (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3/2 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 x x (*.f64 (*.f64 y (*.f64 (neg.f64 z) x)) (fma.f64 y (*.f64 (neg.f64 z) x) x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (+.f64 x (*.f64 z (*.f64 x y)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 x (*.f64 z x)) y))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 y (*.f64 (neg.f64 z) x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 (neg.f64 z) x)) (fma.f64 (*.f64 y (neg.f64 z)) x (neg.f64 x)) (*.f64 x x)) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 y (*.f64 (neg.f64 z) x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3/2 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (fma.f64 x x (*.f64 (*.f64 y (*.f64 (neg.f64 z) x)) (fma.f64 y (*.f64 (neg.f64 z) x) x)))) (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 x (*.f64 z (*.f64 x y)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 (neg.f64 z) x) x) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 y (*.f64 (neg.f64 z) x)) (fma.f64 (*.f64 y (neg.f64 z)) x (neg.f64 x)) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 (neg.f64 z) x)) (fma.f64 (*.f64 y (neg.f64 z)) x (neg.f64 x)) (*.f64 x x))) (fma.f64 y (*.f64 (neg.f64 z) x) x))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (*.f64 y (*.f64 (neg.f64 z) x)) (fma.f64 (*.f64 y (neg.f64 z)) x (neg.f64 x)) (*.f64 x x)) (/.f64 (fma.f64 y (*.f64 (neg.f64 z) x) x) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))))
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(*.f64 (*.f64 (*.f64 y (*.f64 (neg.f64 z) x)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 y y))
(*.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)) x) (*.f64 y (neg.f64 z)))
(*.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 (neg.f64 z) x)) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (neg.f64 z)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) x) (*.f64 y (*.f64 (neg.f64 z) x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 y (*.f64 (neg.f64 z) x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 y (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (*.f64 (neg.f64 z) x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (neg.f64 z) x))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 z) x)))
(*.f64 (*.f64 y (*.f64 (neg.f64 z) x)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))
(*.f64 y (*.f64 (*.f64 (neg.f64 z) x) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 z) x) (*.f64 y (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 y (neg.f64 z)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (neg.f64 z)) #s(literal 3 binary64)))
(*.f64 x (*.f64 (*.f64 y (neg.f64 z)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (*.f64 y (*.f64 (neg.f64 z) x))))
(pow.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))
(neg.f64 (*.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)) y) (*.f64 z x)))
(neg.f64 (*.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)) x) (*.f64 y z)))
(neg.f64 (*.f64 (*.f64 z x) (*.f64 y (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))))
(neg.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)))
(neg.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 y (*.f64 (neg.f64 z) x))) #s(literal 3/2 binary64) (*.f64 (log.f64 (*.f64 y (*.f64 (neg.f64 z) x))) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (neg.f64 z) x)) #s(literal 3 binary64) (*.f64 (log.f64 y) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (neg.f64 z) x))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))))
(*.f64 (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))))
(*.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (*.f64 x (*.f64 (*.f64 y y) z)) z)
(*.f64 (*.f64 x (*.f64 y y)) (*.f64 z z))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x)
(*.f64 (*.f64 z x) (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 (*.f64 y y) z) (*.f64 z x))
(*.f64 (*.f64 y y) (*.f64 (*.f64 z z) x))
(*.f64 (*.f64 y y) (*.f64 z (*.f64 z x)))
(*.f64 y (*.f64 (*.f64 y z) (*.f64 z x)))
(*.f64 z (*.f64 (*.f64 (*.f64 y y) z) x))
(*.f64 z (*.f64 (*.f64 y y) (*.f64 z x)))
(*.f64 x (pow.f64 (*.f64 y z) #s(literal 2 binary64)))

eval79.0ms (1%)

Memory
1.6MiB live, 154.3MiB allocated
Compiler

Compiled 23 068 to 1 338 computations (94.2% saved)

prune12.0ms (0.2%)

Memory
10.7MiB live, 49.4MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New5492551
Fresh000
Picked101
Done055
Total5507557
Accuracy
100.0%
Counts
557 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.4%
(fma.f64 (*.f64 x (neg.f64 z)) y x)
95.5%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
8.8%
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
95.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
49.9%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
45.8%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
51.8%
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
Compiler

Compiled 67 to 58 computations (13.4% saved)

simplify119.0ms (1.5%)

Memory
-18.3MiB live, 221.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (*.f64 (neg.f64 z) x))
cost-diff0
(pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))
cost-diff0
(*.f64 x x)
cost-diff320
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
cost-diff0
(*.f64 y x)
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (*.f64 y x))
cost-diff0
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
Rules
9 528×lower-fma.f32
9 526×lower-fma.f64
4 356×lower-*.f32
4 334×lower-*.f64
1 754×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036250
052248
1121236
2323220
31550205
45159205
57993205
08516197
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
(*.f64 (neg.f64 z) (*.f64 y x))
(neg.f64 z)
z
(*.f64 y x)
y
x
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
(fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)))
(*.f64 x x)
x
(pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))
(*.f64 y (*.f64 (neg.f64 z) x))
y
(*.f64 (neg.f64 z) x)
(neg.f64 z)
z
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))
#s(literal 1 binary64)
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(*.f64 (*.f64 (*.f64 y y) z) z)
(*.f64 (*.f64 y y) z)
(*.f64 y y)
Outputs
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 y) (*.f64 z x)))
(*.f64 (neg.f64 z) (*.f64 y x))
(*.f64 (neg.f64 y) (*.f64 z x))
(neg.f64 z)
z
(*.f64 y x)
y
x
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (neg.f64 y) (*.f64 z x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x x)
x
(pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))
(neg.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)))
(*.f64 y (*.f64 (neg.f64 z) x))
(*.f64 (neg.f64 y) (*.f64 z x))
y
(*.f64 (neg.f64 z) x)
(*.f64 (neg.f64 x) z)
(neg.f64 z)
z
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (neg.f64 y) (*.f64 z x)) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (neg.f64 y) (*.f64 z x)) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)
(pow.f64 (*.f64 (neg.f64 y) (*.f64 z x)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(*.f64 (*.f64 (*.f64 (*.f64 z x) y) z) y)
(*.f64 (*.f64 (*.f64 y y) z) z)
(*.f64 (*.f64 y y) z)
(*.f64 y y)

localize625.0ms (8%)

Memory
11.9MiB live, 220.0MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy6.575727027374048
(*.f64 (*.f64 y y) z)
accuracy7.60006892642862
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
accuracy21.205797856900578
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))
accuracy40.73982237133967
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
accuracy0
(*.f64 y x)
accuracy0
(neg.f64 z)
accuracy3.808628104351197
(*.f64 (neg.f64 z) (*.f64 y x))
accuracy28.934188522364614
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
Samples
609.0ms256×0valid
Compiler

Compiled 211 to 33 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 224.0ms
ival-pow2: 167.0ms (74.6% of total)
ival-mult: 39.0ms (17.4% of total)
ival-pow: 10.0ms (4.5% of total)
ival-add: 3.0ms (1.3% of total)
ival-div: 2.0ms (0.9% of total)
ival-sub: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series402.0ms (5.2%)

Memory
-15.0MiB live, 103.3MiB allocated
Counts
11 → 324
Calls
Call 1
Inputs
#s(alt #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) (patch #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) (*.f64 y x)) (patch (*.f64 (neg.f64 z) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
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Outputs
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#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)))) (patch (*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) 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 (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (neg.f64 z) x)) (patch (*.f64 y (*.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (neg.f64 z) x)) (patch (*.f64 y (*.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (neg.f64 z) x)) (patch (*.f64 y (*.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (neg.f64 z) x)) (patch (*.f64 y (*.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) (patch #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (pow y 2) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
348.0ms
z
@0
((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* (neg z) (* y x)) (neg z) (* y x) (* (+ (* (* x x) x) (pow (* y (* (neg z) x)) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* x x) (pow (* y (* (neg z) x)) 3) (* y (* (neg z) x)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x) (* (* y y) z))
10.0ms
y
@-inf
((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* (neg z) (* y x)) (neg z) (* y x) (* (+ (* (* x x) x) (pow (* y (* (neg z) x)) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* x x) (pow (* y (* (neg z) x)) 3) (* y (* (neg z) x)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x) (* (* y y) z))
4.0ms
x
@inf
((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* (neg z) (* y x)) (neg z) (* y x) (* (+ (* (* x x) x) (pow (* y (* (neg z) x)) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* x x) (pow (* y (* (neg z) x)) 3) (* y (* (neg z) x)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x) (* (* y y) z))
4.0ms
x
@-inf
((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* (neg z) (* y x)) (neg z) (* y x) (* (+ (* (* x x) x) (pow (* y (* (neg z) x)) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* x x) (pow (* y (* (neg z) x)) 3) (* y (* (neg z) x)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x) (* (* y y) z))
3.0ms
x
@0
((* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* (neg z) (* y x)) (neg z) (* y x) (* (+ (* (* x x) x) (pow (* y (* (neg z) x)) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (* x x) (pow (* y (* (neg z) x)) 3) (* y (* (neg z) x)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (* (* (* (* y y) z) z) x) (* (* y y) z))

simplify197.0ms (2.5%)

Memory
-12.0MiB live, 388.7MiB allocated
Algorithm
egg-herbie
Rules
17 598×lower-fma.f64
17 598×lower-fma.f32
4 770×lower-*.f64
4 770×lower-*.f32
3 256×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02123200
17493040
226832896
081442794
Stop Event
iter limit
node limit
Counts
324 → 320
Calls
Call 1
Inputs
x
(+ x (* -1 (* x (* y z))))
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
x
(+ x (* -1 (* x (* y z))))
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(pow x 2)
(+ (* (pow x 2) (* y z)) (pow x 2))
(+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2))
(+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(* -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)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* (pow x 2) (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(* (pow z 2) (- (+ (* (pow x 2) (pow y 2)) (/ (pow x 2) (pow z 2))) (* -1 (/ (* (pow x 2) y) z))))
(* (pow z 2) (- (+ (* (pow x 2) (pow y 2)) (/ (pow x 2) (pow z 2))) (* -1 (/ (* (pow x 2) y) z))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(* -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 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* (pow x 2) (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(* (pow z 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) z)) (* (pow x 2) y)) z)) (* (pow x 2) (pow y 2))))
(* (pow z 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) z)) (* (pow x 2) y)) z)) (* (pow x 2) (pow y 2))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
x
(+ x (* -1 (* x (* y z))))
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(+ x (* y (- (* y (- (* y (* z (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (* x (* y z))))
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(+ x (* y (- (* y (- (* y (* z (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(pow x 2)
(+ (* (pow x 2) (* y z)) (pow x 2))
(+ (* y (- (* (pow x 2) (* y (pow z 2))) (* -1 (* (pow x 2) z)))) (pow x 2))
(+ (* y (- (* (pow x 2) (* y (pow z 2))) (* -1 (* (pow x 2) z)))) (pow x 2))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (- (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) (pow y 2)))) (* -1 (/ x y))))
(* y (- (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 3) (pow z 2))))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (- (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) (pow y 2)))) (* -1 (/ x y))))
(* y (- (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 3) (pow z 2))))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* (pow x 2) (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y)))
(* (pow y 2) (- (+ (* (pow x 2) (pow z 2)) (/ (pow x 2) (pow y 2))) (* -1 (/ (* (pow x 2) z) y))))
(* (pow y 2) (- (+ (* (pow x 2) (pow z 2)) (/ (pow x 2) (pow y 2))) (* -1 (/ (* (pow x 2) z) y))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow z 2)) (+ (* -1 (/ x (pow z 2))) (* 2 (/ x (pow z 2))))) y)) (+ (* -1 (/ x z)) (/ x z))) y)) (* -1 x)) y)) (* x z))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow z 2)) (+ (* -1 (/ x (pow z 2))) (* 2 (/ x (pow z 2))))) y)) (+ (* -1 (/ x z)) (/ x z))) y)) (* -1 x)) y)) (* x z))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* (pow x 2) (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* (pow x 2) (pow z 2)) (/ (* (pow x 2) z) y)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* (pow x 2) z)) y)) (* (pow x 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* (pow x 2) z)) y)) (* (pow x 2) (pow z 2))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
Outputs
x
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 y) (*.f64 z x) x)
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(fma.f64 (neg.f64 y) (*.f64 z x) x)
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(fma.f64 (neg.f64 y) (*.f64 z x) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -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))))
(fma.f64 (neg.f64 y) (*.f64 z x) x)
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(fma.f64 (neg.f64 y) (*.f64 z x) x)
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(fma.f64 (neg.f64 y) (*.f64 z x) x)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(pow x 2)
(*.f64 x x)
(+ (* (pow x 2) (* y z)) (pow x 2))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 x x))
(+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(+ (* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y)))) (pow x 2))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -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 (*.f64 (neg.f64 z) y) x)
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* (pow x 2) (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z))) z) z)
(* (pow z 2) (- (+ (* (pow x 2) (pow y 2)) (/ (pow x 2) (pow z 2))) (* -1 (/ (* (pow x 2) y) z))))
(*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z)))) (*.f64 z z))
(* (pow z 2) (- (+ (* (pow x 2) (pow y 2)) (/ (pow x 2) (pow z 2))) (* -1 (/ (* (pow x 2) y) z))))
(*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z)))) (*.f64 z z))
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -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 (*.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* (pow x 2) (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x)
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (/ (* (pow x 2) y) z)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z))) z) z)
(* (pow z 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) z)) (* (pow x 2) y)) z)) (* (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z)))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (- (* -1 (/ (pow x 2) z)) (* (pow x 2) y)) z)) (* (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (*.f64 x x) (fma.f64 y y (/.f64 y z)))) (*.f64 z z))
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
x
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 y) (*.f64 z x) x)
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(fma.f64 (neg.f64 y) (*.f64 z x) x)
(+ x (* y (- (* y (- (* y (* z (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(fma.f64 (neg.f64 y) (*.f64 z x) x)
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(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (neg.f64 x))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (neg.f64 x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))) (neg.f64 x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 z) y) x)
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (*.f64 x x))
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(* x (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)

rewrite173.0ms (2.2%)

Memory
10.4MiB live, 365.8MiB allocated
Rules
10 944×lower-fma.f32
10 942×lower-fma.f64
4 998×lower-*.f32
4 976×lower-*.f64
2 852×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036167
052162
1216132
21255123
08339119
Stop Event
iter limit
node limit
iter limit
Counts
11 → 307
Calls
Call 1
Inputs
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
(*.f64 (neg.f64 z) (*.f64 y x))
(neg.f64 z)
(*.f64 y x)
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
(*.f64 x x)
(pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))
(*.f64 y (*.f64 (neg.f64 z) x))
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x)
(*.f64 (*.f64 y y) z)
Outputs
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 z) y))) x)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 (neg.f64 x) z))))
(*.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 x) z))) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) z)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) z)
(*.f64 (*.f64 (neg.f64 y) x) z)
(*.f64 (neg.f64 y) (*.f64 z x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) z)) (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 (*.f64 y z) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 z) y) x)
(*.f64 (*.f64 z x) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 z x) y))
(*.f64 (*.f64 y x) (neg.f64 z))
(*.f64 (neg.f64 z) (*.f64 y x))
(*.f64 y (*.f64 (neg.f64 x) z))
(*.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 z (*.f64 (neg.f64 y) x))
(*.f64 x (exp.f64 (log.f64 (*.f64 (neg.f64 z) y))))
(*.f64 x (*.f64 (neg.f64 z) y))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 y) x) z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 z x) y)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 z x) y)))
(neg.f64 (*.f64 x (*.f64 y z)))
(neg.f64 (*.f64 (*.f64 z x) y))
(fma.f64 (*.f64 y x) #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) z))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z x) y))
(exp.f64 (log.f64 (*.f64 (*.f64 (neg.f64 y) x) z)))
(+.f64 (*.f64 (*.f64 y x) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 y) x) z))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 z z)) z)
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (neg.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 z)))))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(neg.f64 z)
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(*.f64 y x)
(*.f64 x y)
(*.f64 (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 3/2 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (fma.f64 (*.f64 y x) (neg.f64 z) x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 6 binary64))) (+.f64 x (*.f64 (*.f64 z x) y))))
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x (*.f64 z x)) y) #s(literal 3 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y z) (*.f64 x x)))) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 y x) (neg.f64 z) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 3/2 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 6 binary64))) (fma.f64 x x (*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (fma.f64 (*.f64 y x) (neg.f64 z) x)))) (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 x (*.f64 (*.f64 z x) y))))
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(pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (*.f64 x (*.f64 (*.f64 y y) z)) z)
(*.f64 (*.f64 x (*.f64 y y)) (*.f64 z z))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) x)
(*.f64 (*.f64 z x) (*.f64 (*.f64 y y) z))
(*.f64 (*.f64 (*.f64 y y) z) (*.f64 z x))
(*.f64 (*.f64 y y) (*.f64 (*.f64 z z) x))
(*.f64 (*.f64 y y) (*.f64 z (*.f64 z x)))
(*.f64 y (*.f64 (*.f64 y z) (*.f64 z x)))
(*.f64 z (*.f64 (*.f64 (*.f64 y y) z) x))
(*.f64 z (*.f64 (*.f64 y y) (*.f64 z x)))
(*.f64 x (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 (*.f64 y z) y)
(*.f64 (*.f64 y y) z)
(*.f64 y (*.f64 y z))
(*.f64 z (*.f64 y y))

eval77.0ms (1%)

Memory
11.4MiB live, 161.5MiB allocated
Compiler

Compiled 18 805 to 1 174 computations (93.8% saved)

prune47.0ms (0.6%)

Memory
8.2MiB live, 97.8MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New6551656
Fresh000
Picked022
Done145
Total6567663
Accuracy
100.0%
Counts
663 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
8.8%
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
95.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
49.9%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
45.8%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
51.1%
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y))
51.8%
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
Compiler

Compiled 203 to 110 computations (45.8% saved)

regimes30.0ms (0.4%)

Memory
-24.1MiB live, 51.5MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) 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 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 y (*.f64 (neg.f64 z) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) z) z) x) x))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 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
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
Calls

6 calls:

8.0ms
(*.f64 y z)
7.0ms
x
4.0ms
z
4.0ms
y
3.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Results
AccuracySegmentsBranch
97.9%2x
97.2%2y
95.5%1z
99.9%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
99.9%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
99.9%3(*.f64 y z)
Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes13.0ms (0.2%)

Memory
26.3MiB live, 26.3MiB allocated
Counts
4 → 4
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
Outputs
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
Calls

6 calls:

2.0ms
x
2.0ms
(*.f64 y z)
2.0ms
z
2.0ms
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Results
AccuracySegmentsBranch
82.7%3z
77.3%3y
60.7%4x
86.6%4(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
96.2%4(-.f64 #s(literal 1 binary64) (*.f64 y z))
96.2%4(*.f64 y z)
Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes8.0ms (0.1%)

Memory
-27.6MiB live, 10.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y))
Outputs
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
Calls

2 calls:

5.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
2.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
94.5%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
94.5%3(*.f64 y z)
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
Outputs
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))
Calls

2 calls:

1.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
1.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
94.1%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
94.1%3(*.f64 y z)
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0.1%)

Memory
21.6MiB live, 21.6MiB 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:

1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
1.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
45.8%1x
45.8%1y
45.8%1z
45.8%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
45.8%1(-.f64 #s(literal 1 binary64) (*.f64 y z))
45.8%1(*.f64 y z)
Compiler

Compiled 18 to 26 computations (-44.4% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.270379833270897e+201
1.6962858121561538e+224
0.0ms
-3.417387669980927e+260
-1.7957725351354018e+257
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
8.270379833270897e+201
1.6962858121561538e+224
0.0ms
0.6559063124974751
5.895744110332073
0.0ms
-2792.5781105727438
-4.690828853091819
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6559063124974751
5.895744110332073
0.0ms
-2792.5781105727438
-4.690828853091819
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6559063124974751
5.895744110332073
0.0ms
-4.690828853091819
-3.2850559070966985e-6
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify32.0ms (0.4%)

Memory
-21.7MiB live, 60.9MiB allocated
Algorithm
egg-herbie
Rules
40×*-commutative-binary64-*.f64
18×neg-sub0-binary64--.f64-neg.f64
18×+-commutative-binary64-+.f64
18×neg-mul-1-binary64-*.f64-neg.f64
18×sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054453
182453
2107453
3133453
4141453
5143453
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 y z) #s(literal -200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))))
(if (<=.f64 (*.f64 y z) #s(literal -2000 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))))))
(if (<=.f64 (*.f64 y z) #s(literal -2000 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))))
(if (<=.f64 (*.f64 y z) #s(literal -4 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Outputs
(if (<=.f64 (*.f64 y z) #s(literal -200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))))
(if (<=.f64 (*.f64 z y) #s(literal -200000000000000013066955221149234614006420798956587259551286384346253844053977495787045794389248620240281172723795887588127372414002777379796274447149163924589277282496240804681694345098045284941494988528265817679549884087553314090994018176858671070391939629056 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 y) x) z)) (if (<=.f64 (*.f64 z y) #s(literal 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 y) x) z))))
(if (<=.f64 (*.f64 y z) #s(literal -2000 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) (*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))))))
(if (<=.f64 (*.f64 z y) #s(literal -2000 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 z y) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) (if (<=.f64 (*.f64 z y) #s(literal 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960 binary64)) (*.f64 #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)) x) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 y) x) z)))))
(if (<=.f64 (*.f64 y z) #s(literal -2000 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))))
(if (<=.f64 (*.f64 z y) #s(literal -2000 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 z y) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 y) x) z))))
(if (<=.f64 (*.f64 y z) #s(literal -4 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x))) (if (<=.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (neg.f64 z) (*.f64 y x)))))
(if (<=.f64 (*.f64 z y) #s(literal -4 binary64)) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 y) x) z)) (if (<=.f64 (*.f64 z y) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) #s(approx (* (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ 1 (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y)))))) (*.f64 (*.f64 (neg.f64 y) x) z))))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x)

soundness1.1s (13.5%)

Memory
14.4MiB live, 683.9MiB allocated
Rules
22 928×lower-fma.f64
22 928×lower-fma.f32
18 194×lower-fma.f64
18 194×lower-fma.f32
14 752×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043446
1136416
2296416
3488416
42008416
55035416
66541416
77282416
87487416
97593416
107673416
08014416
0715
01015
13215
219215
3153215
0972613
036167
052162
1216132
21255123
08339119
02534362
18893924
231233776
082313668
02332616
18332432
230792288
083672210
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 406 to 264 computations (35% saved)

preprocess93.0ms (1.2%)

Memory
-10.4MiB live, 143.9MiB allocated
Remove

(negabs x)

Compiler

Compiled 690 to 294 computations (57.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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