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

Time bar (total: 9.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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)

sample1.0s (11.1%)

Memory
25.5MiB live, 902.5MiB allocated
Samples
727.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 277.0ms
ival-mult: 163.0ms (58.9% of total)
ival-sub: 99.0ms (35.8% of total)
ival-true: 7.0ms (2.5% of total)
exact: 5.0ms (1.8% of total)
ival-assert: 4.0ms (1.4% of total)
Bogosity

explain152.0ms (1.7%)

Memory
-13.8MiB live, 106.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
90-0-(*.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*o90
Confusion
Predicted +Predicted -
+90
-0247
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+900
-00247
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0247
19
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
44.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 26.0ms (88.5% of total)
ival-sub: 2.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess58.0ms (0.6%)

Memory
-15.7MiB live, 67.7MiB 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
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify21.0ms (0.2%)

Memory
1.3MiB live, 39.0MiB 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

localize19.0ms (0.2%)

Memory
10.4MiB live, 46.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y z)
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy2.185149173595871
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Samples
15.0ms256×0valid
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 (58.6% of total)
ival-sub: 1.0ms (19.5% 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
22.0MiB live, 22.0MiB allocated
Counts
3 → 84
Calls
Call 1
Inputs
#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (* x y)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) y)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) y)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) y)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x y)))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x y)))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x y)))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 y) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 y) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 y) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* x z)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* x z)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* x z)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* x z)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* x z)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* x z)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify144.0ms (1.6%)

Memory
-30.7MiB live, 164.8MiB 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))

rewrite310.0ms (3.4%)

Memory
14.3MiB live, 445.0MiB 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
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eval108.0ms (1.2%)

Memory
19.9MiB live, 211.2MiB allocated
Compiler

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

prune80.0ms (0.9%)

Memory
-3.6MiB live, 100.2MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6919700
Fresh000
Picked101
Done000
Total6929701
Accuracy
100.0%
Counts
701 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(fma.f64 (*.f64 x (neg.f64 z)) y x)
92.7%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
29.9%
(/.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)))))
79.3%
(*.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))))
29.8%
(*.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) (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))))))
73.0%
(*.f64 x (+.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))))))
65.5%
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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))))
43.9%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
54.5%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Compiler

Compiled 312 to 202 computations (35.3% saved)

simplify136.0ms (1.5%)

Memory
-25.3MiB live, 169.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.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)))))
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-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
(fma.f64 z y #s(literal 1 binary64))
cost-diff0
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff128
(+.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)))))
cost-diff6848
(*.f64 x (+.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))))))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff0
(fma.f64 (*.f64 x (neg.f64 y)) z x)
cost-diff0
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 x (neg.f64 z))
cost-diff0
(fma.f64 (*.f64 x (neg.f64 z)) y x)
Rules
11 454×lower-fma.f32
11 446×lower-fma.f64
4 558×lower-*.f32
4 540×lower-*.f64
1 220×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035266
063266
1131258
2322258
31453243
44732240
57432240
08036238
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (neg.f64 z)) y x)
(*.f64 x (neg.f64 z))
x
(neg.f64 z)
z
y
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
z
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))))
x
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 z y #s(literal 1 binary64))
z
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))
(neg.f64 (*.f64 (*.f64 z z) y))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
(/.f64 y (fma.f64 z y #s(literal 1 binary64)))
(/.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 (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
(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 z)) y x)
(fma.f64 y (*.f64 (neg.f64 z) x) x)
(*.f64 x (neg.f64 z))
(*.f64 (neg.f64 z) x)
x
(neg.f64 z)
z
y
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x)
x
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(fma.f64 y (*.f64 (neg.f64 z) x) x)
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
x
(neg.f64 y)
y
z
(*.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (neg.f64 z) #s(literal 1 binary64)) (/.f64 x (fma.f64 y z #s(literal 1 binary64))))
x
(+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 y z #s(literal 1 binary64))) z) y) (neg.f64 z) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 z y #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))
z
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 y z #s(literal 1 binary64))) z) y) (neg.f64 z))
(neg.f64 (*.f64 (*.f64 z z) y))
(*.f64 (*.f64 (neg.f64 y) z) z)
(*.f64 (*.f64 z z) y)
(*.f64 z z)
(/.f64 y (fma.f64 z y #s(literal 1 binary64)))
(/.f64 y (fma.f64 y z #s(literal 1 binary64)))
(/.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 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #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 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 (*.f64 (neg.f64 y) x) z) #s(literal 3 binary64))
(*.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (*.f64 (neg.f64 y) x) z)
(*.f64 x (neg.f64 z))
(*.f64 (neg.f64 z) x)
(neg.f64 z)
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 (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #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 y (*.f64 (fma.f64 y z #s(literal 1 binary64)) x)) (*.f64 z x))
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) x)

localize128.0ms (1.4%)

Memory
-0.1MiB live, 194.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy4.1855569602255995
(*.f64 (*.f64 x (neg.f64 z)) y)
accuracy4.546844037453088
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
accuracy6.386710493320824
(-.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 z)) y)))
accuracy41.85571299216072
(/.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)))))
accuracy2.185149173595871
(*.f64 x (+.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))))))
accuracy6.8810333569469835
(/.f64 y (fma.f64 z y #s(literal 1 binary64)))
accuracy8.272043378585378
(*.f64 (*.f64 z z) y)
accuracy10.21871422935184
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))
accuracy0
(*.f64 x (neg.f64 y))
accuracy0
(neg.f64 y)
accuracy4.690774174296655
(fma.f64 (*.f64 x (neg.f64 y)) z x)
accuracy2.185149173595871
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
accuracy29.35737903692722
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy0
(*.f64 x (neg.f64 z))
accuracy0
(neg.f64 z)
accuracy2.0932802251005023
(fma.f64 (*.f64 x (neg.f64 z)) y x)
Samples
88.0ms256×0valid
Compiler

Compiled 276 to 39 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 24.0ms (34.5% of total)
ival-add: 21.0ms (30.2% of total)
ival-pow: 9.0ms (13% of total)
ival-neg: 7.0ms (10.1% of total)
ival-div: 3.0ms (4.3% of total)
ival-sub: 2.0ms (2.9% of total)
ival-pow2: 2.0ms (2.9% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series91.0ms (1%)

Memory
15.1MiB live, 172.0MiB allocated
Counts
20 → 564
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x (neg.f64 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<representation binary64>) () ())
#s(alt (*.f64 x (neg.f64 z)) (patch (*.f64 x (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (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 (+.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)))))) (patch (*.f64 x (+.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)))))) #<representation binary64>) () ())
#s(alt (+.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))))) (patch (+.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))))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 z y #s(literal 1 binary64)) (patch (fma.f64 z y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (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 (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 (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))))) (patch (/.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))))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 z z) y) (patch (*.f64 (*.f64 z z) y) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 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 z)) y x) (patch (fma.f64 (*.f64 x (neg.f64 z)) y x) #<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))) (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))) (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 (* -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
11.0ms
x
@0
((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (- (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)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))))) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* x (neg z)) y))
9.0ms
z
@inf
((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (- (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)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))))) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* x (neg z)) y))
9.0ms
z
@-inf
((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (- (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)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))))) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* x (neg z)) y))
8.0ms
x
@inf
((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (- (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)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))))) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* x (neg z)) y))
8.0ms
y
@-inf
((+ (* (* x (neg z)) y) x) (* x (neg z)) (neg z) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (pow (+ (* z y) 1) -1) (+ (* z y) 1) (- (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)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* x x) (- (pow (* (* x (neg z)) y) 2) (* x (* (* x (neg z)) y))))) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* x (neg z)) y))

simplify168.0ms (1.9%)

Memory
-4.3MiB live, 247.3MiB allocated
Algorithm
egg-herbie
Rules
5 262×lower-fma.f64
5 262×lower-fma.f32
4 784×lower-*.f64
4 784×lower-*.f32
1 750×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04825708
116335197
251975102
080834942
Stop Event
iter limit
node limit
Counts
564 → 552
Calls
Call 1
Inputs
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 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))))
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
(+ 1 (* -1 (* y z)))
(+ 1 (* z (- (* (pow y 2) z) y)))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
1
(+ 1 (* y z))
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(+ 1 (* y z))
(* (pow x 2) (* y z))
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(* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y))))
(* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y))))
(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))
(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))
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 y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
(* y (pow z 2))
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y
(+ y (* -1 (* (pow y 2) z)))
(+ y (* z (- (* (pow y 3) z) (pow y 2))))
(+ y (* z (- (* z (- (* -1 (* (pow y 4) z)) (* -1 (pow y 3)))) (pow y 2))))
(* -1 (* x (* y z)))
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(* -1 (* x z))
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(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* x (* y z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* y z))
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(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(/ 1 (* y z))
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(* y z)
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(* (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)))
(* (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))))
(* (pow z 3) (+ (* -1 (* (pow x 3) (pow y 3))) (/ (pow x 3) (pow z 3))))
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(* (pow z 3) (+ (* -1 (* (pow x 3) (pow y 3))) (/ (pow x 3) (pow z 3))))
(* -1 (* x (* y z)))
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(* y (+ 1 (* -1 (* y z))))
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(* -1 (* x y))
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(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
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(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) y)
(* y z)
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(* (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) z) y)))
(* (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))))
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(* (pow y 3) (+ (* -1 (* (pow x 3) (pow z 3))) (/ (pow x 3) (pow y 3))))
(* -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))))))
(* -1 (* y z))
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(* y (- (+ (* -1 z) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2))))) (/ 1 (* (pow y 2) z))))
(* y (pow z 2))
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(/ 1 z)
(- (/ 1 z) (/ 1 (* y (pow z 2))))
(- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2))))
(- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4)))))
(* -1 (* x (* y z)))
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(* -1 (* x (* y z)))
(* -1 (* x (* 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 (* 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))
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(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
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(* -1 (* x y))
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(* -1 (* y z))
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(* -1 (* y (- z (/ 1 y))))
(/ 1 (* y z))
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* y z)
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(* -1 (* y (- (* -1 z) (/ 1 y))))
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(* (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))))
(* -1 (* (pow x 3) (* (pow y 3) (pow z 3))))
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(* -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 (* 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))))
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(* -1 (* y z))
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(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
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(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
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(* (pow x 2) (- (+ 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)))))
(/ (* 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)))
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(* x (+ 1 (* -1 (* y z))))
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(* x (+ 1 (* -1 (* y z))))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
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(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
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(* x (- 1 (* y z)))
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(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z))))
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z))))
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z))))
(* (pow x 2) (- (* (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))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
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(/ (* 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)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
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(* -1 (* x (- (* y z) 1)))
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(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
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(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
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(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
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(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z))))
(* (pow x 2) (- (* (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))))
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(* -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)))
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Outputs
x
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
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(* -1 z)
(neg.f64 z)
x
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
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(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
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(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
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x
(+ x (* -1 (* x (* y z))))
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(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
x
(+ x (* -1 (* x (* y z))))
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(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
1
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(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
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(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
1
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(fma.f64 (fma.f64 (*.f64 z z) y (neg.f64 z)) y #s(literal 1 binary64))
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(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 z) (*.f64 y y)) z (neg.f64 y)) z #s(literal 1 binary64))
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(* (pow x 2) (* y z))
(*.f64 (*.f64 (*.f64 y x) z) x)
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(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) x)
(* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) x)
(* z (- (* (pow x 2) (* (pow y 2) z)) (* -1 (* (pow x 2) y))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) 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))
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(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))) x) 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)))
x
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(+ 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)
(* -1 (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 z) y) y) z)
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
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(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 z) (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 z z))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) z (neg.f64 (pow.f64 y #s(literal 4 binary64)))) z (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 z z))
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
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(* y (pow z 2))
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(+ y (* -1 (* (pow y 2) z)))
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(+ y (* z (- (* (pow y 3) z) (pow y 2))))
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) z y)
(+ y (* z (- (* z (- (* -1 (* (pow y 4) z)) (* -1 (pow y 3)))) (pow y 2))))
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 z) (pow.f64 y #s(literal 3 binary64))) z)) z y)
(* -1 (* x (* y z)))
(*.f64 (neg.f64 x) (*.f64 z y))
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(* -1 (* x (* y z)))
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(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) y) y) z) (fma.f64 z y #s(literal 1 binary64))) x (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) x)
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) x)
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) x)
(* (pow x 2) (- (* (pow y 2) (pow z 2)) (* -1 (* y z))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (*.f64 z y)) x) x)
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))) x) x)
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))) x) x)
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))) x) x)
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64))) 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 (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64)))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64)))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 binary64)))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 (*.f64 z z) y) y (fma.f64 z y #s(literal 1 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))

rewrite239.0ms (2.7%)

Memory
9.1MiB live, 240.6MiB allocated
Rules
6 910×lower-fma.f32
6 902×lower-fma.f64
4 362×lower-*.f32
4 344×lower-*.f64
3 592×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035206
063180
1266144
21961144
08274144
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 014
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (neg.f64 z)) y x)
(*.f64 x (neg.f64 z))
(neg.f64 z)
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
(*.f64 x (+.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 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))
(pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 z y #s(literal 1 binary64))
(-.f64 (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 (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 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (*.f64 z z) y)
(/.f64 y (fma.f64 z y #s(literal 1 binary64)))
(*.f64 (*.f64 x (neg.f64 z)) y)
Outputs
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eval517.0ms (5.7%)

Memory
9.4MiB live, 312.0MiB allocated
Compiler

Compiled 60 335 to 3 888 computations (93.6% saved)

prune237.0ms (2.6%)

Memory
17.2MiB live, 101.6MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1 93821 940
Fresh044
Picked235
Done000
Total1 94091 949
Accuracy
100.0%
Counts
1 949 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(fma.f64 (*.f64 x (neg.f64 z)) y x)
92.7%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
29.6%
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))))
79.3%
(*.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))))
29.8%
(*.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) (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))))))
72.1%
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))))
65.5%
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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))))
43.9%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
54.5%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Compiler

Compiled 288 to 188 computations (34.7% saved)

simplify177.0ms (2%)

Memory
3.3MiB live, 79.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))))
cost-diff128
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
cost-diff256
(-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))
cost-diff960
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))
cost-diff0
(+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))
cost-diff0
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))
cost-diff0
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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))))
cost-diff0
(neg.f64 (*.f64 (*.f64 z z) y))
cost-diff0
#s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64))
cost-diff0
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))))
cost-diff128
(+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))
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
(*.f64 z y)
cost-diff0
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
cost-diff0
(*.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))))
Rules
8 576×lower-fma.f32
8 570×lower-fma.f64
5 550×lower-*.f32
5 516×lower-*.f64
1 456×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051416
090416
1195404
2533394
32266386
44588386
08128386
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.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 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 z y)
z
y
#s(literal 2 binary64)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
x
(fma.f64 z y #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
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))))
x
(+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))
#s(approx (pow (+ (* z y) 1) -1) #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))))
(neg.f64 (*.f64 (*.f64 z z) y))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
(/.f64 y (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z y #s(literal 1 binary64))
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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))))
x
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))
(+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
#s(literal -1 binary64)
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 z y)
z
y
#s(literal 2 binary64)
(-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(pow.f64 (*.f64 z y) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))
(fma.f64 z y #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))))
(+.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
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))
(*.f64 (*.f64 z x) y)
(*.f64 z x)
(*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 (*.f64 (neg.f64 y) x) z)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
Outputs
(*.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 x (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(pow.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 2 binary64)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
(/.f64 x (fma.f64 y z #s(literal 1 binary64)))
x
(fma.f64 z y #s(literal 1 binary64))
(fma.f64 y z #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
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64)))) x)
x
(+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))
(-.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64))))
#s(approx (pow (+ (* z y) 1) -1) #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 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) z #s(literal -1 binary64)))
(neg.f64 (*.f64 (*.f64 z z) y))
(*.f64 (*.f64 (neg.f64 z) y) z)
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
(/.f64 y (fma.f64 z y #s(literal 1 binary64)))
(/.f64 y (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 z y #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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 (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))))
x
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal -1 binary64)
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(pow.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 2 binary64)
(-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(pow.f64 (*.f64 z y) #s(literal 3 binary64))
(pow.f64 (*.f64 y z) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))
(fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))
(fma.f64 z y #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)) x) x))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x 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))
(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
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))
(*.f64 (*.f64 z x) y)
(*.f64 (*.f64 x z) y)
(*.f64 z x)
(*.f64 x z)
(*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))
(*.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) x) x)
(-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) x)
(*.f64 (*.f64 (neg.f64 y) x) z)
(*.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 y) x)
(neg.f64 y)

localize442.0ms (4.9%)

Memory
-35.7MiB live, 85.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.546844037453088
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
accuracy5.358600769503491
(*.f64 (*.f64 (neg.f64 y) x) z)
accuracy5.636710492816681
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))
accuracy41.85571299216072
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))))
accuracy0.21941376953688402
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
accuracy2.181242923595871
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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))))
accuracy14.348930307074145
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))
accuracy20.11034476389046
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))
accuracy6.8810333569469835
(/.f64 y (fma.f64 z y #s(literal 1 binary64)))
accuracy8.272043378585378
(*.f64 (*.f64 z z) y)
accuracy10.21871422935184
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))
accuracy29.22015165109908
#s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64))
accuracy0
(*.f64 (neg.f64 z) y)
accuracy0
(neg.f64 z)
accuracy2.185149173595871
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
accuracy33.95865852905197
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
accuracy0
(*.f64 z y)
accuracy0.21941376953688402
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
accuracy2.8706518136840296
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
accuracy10.018848637992129
(*.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))))
Samples
351.0ms256×0valid
Compiler

Compiled 422 to 51 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 326.0ms
ival-mult: 183.0ms (56.2% of total)
ival-pow: 99.0ms (30.4% of total)
ival-sub: 26.0ms (8% of total)
ival-div: 6.0ms (1.8% of total)
ival-add: 6.0ms (1.8% of total)
ival-neg: 3.0ms (0.9% of total)
ival-pow2: 3.0ms (0.9% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series272.0ms (3%)

Memory
8.2MiB live, 88.8MiB allocated
Counts
25 → 708
Calls
Call 1
Inputs
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<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 (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (patch #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (*.f64 z z) y)) (patch (neg.f64 (*.f64 (*.f64 z z) y)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) (patch (*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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))) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (patch (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (patch (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))) (patch (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)) (patch (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)) #<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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 z z) y) (patch (*.f64 (*.f64 z z) y) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 y) x) z) (patch (*.f64 (*.f64 (neg.f64 y) x) z) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* (pow y 2) (pow z 2)))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* (pow y 2) (pow z 2)))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* (pow y 2) (pow z 2)))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 2)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 2)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 2)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 2)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt 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 1 (taylor 0 z) (#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))) #<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 (* -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 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) (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))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) (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))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) (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))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) (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))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 (* y z))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 (* y z))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 (* y z))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 (* y z))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) z) (patch (*.f64 (*.f64 (neg.f64 y) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) z) (patch (*.f64 (*.f64 (neg.f64 y) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) z) (patch (*.f64 (*.f64 (neg.f64 y) x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) x) z) (patch (*.f64 (*.f64 (neg.f64 y) x) z) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
82.0ms
x
@0
((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (neg (* (* z z) y)) (* x (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ -1 (pow (* z y) 2)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (- x (* (* (neg y) x) z)) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (/ x (+ (* z y) 1)) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* (neg y) x) z))
7.0ms
x
@-inf
((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (neg (* (* z z) y)) (* x (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ -1 (pow (* z y) 2)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (- x (* (* (neg y) x) z)) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (/ x (+ (* z y) 1)) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* (neg y) x) z))
7.0ms
z
@inf
((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (neg (* (* z z) y)) (* x (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ -1 (pow (* z y) 2)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (- x (* (* (neg y) x) z)) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (/ x (+ (* z y) 1)) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* (neg y) x) z))
6.0ms
x
@inf
((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (neg (* (* z z) y)) (* x (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ -1 (pow (* z y) 2)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (- x (* (* (neg y) x) z)) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (/ x (+ (* z y) 1)) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* (neg y) x) z))
6.0ms
y
@inf
((* (- 1 (pow (* z y) 2)) (/ x (+ (* z y) 1))) (- 1 (pow (* z y) 2)) (pow (* z y) 2) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (neg z) (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (neg (* (* z z) y)) (* x (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ -1 (pow (* z y) 2)) (- -1 (pow (* z y) 3))) (+ -1 (pow (* z y) 2)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (- x (* (* (neg y) x) z)) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (/ x (+ (* z y) 1)) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (* (* z z) y) (/ y (+ (* z y) 1)) (* (* (neg y) x) z))

simplify512.0ms (5.7%)

Memory
-15.2MiB live, 162.2MiB allocated
Algorithm
egg-herbie
Rules
13 286×lower-fma.f64
13 286×lower-fma.f32
5 648×lower-*.f64
5 648×lower-*.f32
3 658×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08637870
129727358
088867088
Stop Event
iter limit
node limit
Counts
708 → 692
Calls
Call 1
Inputs
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* 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)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 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 (* z (- (* (pow y 2) z) y)))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
(* -1 (* y (pow z 2)))
(* -1 (* y (pow z 2)))
(* -1 (* y (pow z 2)))
(* -1 (* y (pow z 2)))
x
(+ x (* x (* y z)))
(+ x (* z (+ (* -1 (* x (* z (+ (* -1 (pow y 2)) (pow y 2))))) (* x y))))
(+ x (* z (+ (* x y) (* z (+ (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (* z (- (* x (pow y 3)) (* -1 (* x (pow y 3)))))))))))
1
(+ 1 (* y z))
(+ 1 (* z (+ y (* -1 (* z (+ (* -1 (pow y 2)) (pow y 2)))))))
(+ 1 (* z (+ y (* z (+ (* -1 (* z (- (pow y 3) (* -1 (pow y 3))))) (* -1 (+ (* -1 (pow y 2)) (pow y 2))))))))
1
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(+ 1 (* (pow z 2) (+ (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))))
(+ 1 (* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (pow y 3)) (* (pow y 5) (pow z 2)))))))
-1
(- (* (pow y 2) (pow z 2)) 1)
(- (* (pow y 2) (pow z 2)) 1)
(- (* (pow y 2) (pow z 2)) 1)
(pow x 2)
(+ (* (pow x 2) (* y z)) (pow x 2))
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
x
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(+ x (* x (* y 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))
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))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* z (- (* x (* (pow y 2) z)) (* x y))))
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
y
(+ y (* -1 (* (pow y 2) z)))
(+ y (* z (- (* (pow y 3) z) (pow y 2))))
(+ y (* z (- (* z (- (* -1 (* (pow y 4) z)) (* -1 (pow y 3)))) (pow y 2))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* 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))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(/ 1 (* y z))
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(* -1 (* y (pow z 2)))
(* -1 (* y (pow z 2)))
(* -1 (* y (pow z 2)))
(* -1 (* y (pow z 2)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (* -1 (/ x z))))
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x z)) (* -1 (/ (* x (+ (* -1 (pow y 2)) (pow y 2))) (* (pow y 3) (pow z 2)))))))
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x z)) (+ (* -1 (/ (* x (+ (* -1 (pow y 2)) (pow y 2))) (* (pow y 3) (pow z 2)))) (* -1 (/ (- (* -1 (/ x (pow y 2))) (/ x (pow y 2))) (pow z 3)))))))
(* -1 (* y z))
(* z (- (* -1 y) (/ 1 z)))
(* z (- (+ (* -1 y) (/ 2 (* (pow y 2) (pow z 3)))) (/ 1 z)))
(* z (- (+ (* -1 y) (+ (* 2 (/ 1 (* (pow y 2) (pow z 3)))) (* 2 (/ 1 (* (pow y 3) (pow z 4)))))) (/ 1 z)))
(/ -1 (* y z))
(/ (- (/ 1 (* (pow y 3) (pow z 2))) (/ 1 y)) z)
(/ (- (+ (/ 1 (* (pow y 3) (pow z 2))) (/ 1 (* (pow y 4) (pow z 3)))) (/ 1 y)) z)
(/ (- (+ (/ 1 (* (pow y 3) (pow z 2))) (/ 1 (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (/ 1 (* (pow y 6) (pow z 5))))) z)
(* (pow y 2) (pow z 2))
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))
(* (pow z 2) (- (pow y 2) (/ 1 (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) y) z) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (+ (/ (* (pow x 2) y) z) (/ (pow x 2) (pow z 2)))))
(* x (* y z))
(* z (- (/ x z) (* -1 (* x y))))
(* z (- (/ x z) (* -1 (* x y))))
(* z (- (/ x z) (* -1 (* x y))))
(* -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 (* 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)))))))
(/ x (* y z))
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ x y)) z)
(/ (- (+ (/ x y) (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ x y)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z)
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(* (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 (- 1 (* -1 (* y z))))
(* x (- 1 (* -1 (* y z))))
(* x (- 1 (* -1 (* y z))))
(* x (- 1 (* -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)))))
(/ (* 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))))
(/ x (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
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(* (pow x 2) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
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(* x (- 1 (* -1 (* y z))))
(* x (- 1 (* -1 (* y z))))
(* x (- 1 (* -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)))))
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(/ x (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(* x (+ 1 (* y z)))
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(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))))
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(/ x (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
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(/ x (+ 1 (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
Outputs
x
(+ x (* -1 (* x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(+ x (* -1 (* x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 (*.f64 z z) y) y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
x
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(+ x (* -1 (* x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
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(*.f64 (neg.f64 y) z)
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(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 z)
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(neg.f64 z)
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(neg.f64 z)
1
#s(literal 1 binary64)
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(-.f64 #s(literal 1 binary64) (*.f64 z y))
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
x
(+ x (* -1 (* x (* y z))))
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(+ x (* -1 (* x (* y z))))
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(+ x (* -1 (* x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
1
#s(literal 1 binary64)
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(-.f64 #s(literal 1 binary64) (*.f64 z y))
(+ 1 (* z (- (* (pow y 2) z) y)))
(fma.f64 (fma.f64 (*.f64 z z) y (neg.f64 z)) y #s(literal 1 binary64))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 z) (*.f64 y y)) z (neg.f64 y)) z #s(literal 1 binary64))
(* -1 (* y (pow z 2)))
(*.f64 (*.f64 (neg.f64 z) z) y)
(* -1 (* y (pow z 2)))
(*.f64 (*.f64 (neg.f64 z) z) y)
(* -1 (* y (pow z 2)))
(*.f64 (*.f64 (neg.f64 z) z) y)
(* -1 (* y (pow z 2)))
(*.f64 (*.f64 (neg.f64 z) z) y)
x
(+ x (* x (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(+ x (* z (+ (* x y) (* z (+ (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (* z (- (* x (pow y 3)) (* -1 (* x (pow y 3)))))))))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 y x)) z x)
1
#s(literal 1 binary64)
(+ 1 (* y z))
(fma.f64 z y #s(literal 1 binary64))
(+ 1 (* z (+ y (* -1 (* z (+ (* -1 (pow y 2)) (pow y 2)))))))
(fma.f64 z y #s(literal 1 binary64))
(+ 1 (* z (+ y (* z (+ (* -1 (* z (- (pow y 3) (* -1 (pow y 3))))) (* -1 (+ (* -1 (pow y 2)) (pow y 2))))))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) z #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow z 2) (+ (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))))
(fma.f64 (neg.f64 (fma.f64 z z (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (pow y 3)) (* (pow y 5) (pow z 2)))))))
(fma.f64 (fma.f64 (neg.f64 y) y (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 z)))) (*.f64 z z) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* (pow y 2) (pow z 2)) 1)
(fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64))
(- (* (pow y 2) (pow z 2)) 1)
(fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64))
(- (* (pow y 2) (pow z 2)) 1)
(fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 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) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x)
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x)
x
(+ x (* x (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(+ x (* x (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(+ x (* x (* y z)))
(*.f64 (fma.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 (fma.f64 (neg.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 (fma.f64 (neg.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 (fma.f64 (neg.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)))
x
(+ x (* -1 (* x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 y x))) z 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 (-.f64 (*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 z y) #s(literal 0 binary64)) z) (*.f64 y x)) z x)
x
(+ x (* -1 (* x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(+ x (* z (- (* x (* (pow y 2) z)) (* x y))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 z))) y x)
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) y (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) z (*.f64 (neg.f64 x) y)) z x)
(* -1 (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 z) z) y) y)
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) y (*.f64 (neg.f64 z) z)) y) y)
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 z) (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 z z))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) z (neg.f64 (pow.f64 y #s(literal 4 binary64)))) z (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 z z))
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
y
(+ y (* -1 (* (pow y 2) z)))
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(+ y (* z (- (* (pow y 3) z) (pow y 2))))
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) z y)
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(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 z) (pow.f64 y #s(literal 3 binary64))) z)) z y)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 x) z) y)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 x) z) y)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 x) z) y)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 x) z) y)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 x) z) y)
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* -1 (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 z) z) y) y)
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y y)) (*.f64 z z))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y y)) (*.f64 z z))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 y y)) (*.f64 z z))
(* (pow y 2) (pow z 2))
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(* (pow y 2) (pow z 2))
(*.f64 (*.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(*.f64 (*.f64 (*.f64 z z) y) y)
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(*.f64 (*.f64 (*.f64 z z) y) y)
(* y z)
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(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64)))
(* x (- 1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* x (- 1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* x (- 1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* x (- 1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64)))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64)))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64)))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64)))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(*.f64 (neg.f64 x) (/.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(*.f64 (neg.f64 x) (/.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(*.f64 (neg.f64 x) (/.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(*.f64 (neg.f64 x) (/.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x)
(* x (+ 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(* x (+ 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(* x (+ 1 (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(* x (+ 1 (* y z)))
(*.f64 (fma.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)))
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(* -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 (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))))
(*.f64 (neg.f64 x) (/.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))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))))
(*.f64 (neg.f64 x) (/.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))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))))
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(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))))
(*.f64 (neg.f64 x) (/.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 (* y z)))
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
(/ x (+ 1 (* y z)))
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
(/ x (+ 1 (* y z)))
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
(/ x (+ 1 (* y z)))
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 x) z) y)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 x) z) y)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 x) z) y)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 x) z) y)

rewrite556.0ms (6.2%)

Memory
36.3MiB live, 304.7MiB allocated
Rules
5 034×lower-fma.f32
5 028×lower-fma.f64
4 370×lower-*.f32
4 336×lower-*.f64
3 386×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051302
090296
1368285
22794283
08428278
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 013
Calls
Call 1
Inputs
(*.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 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 z y)
(*.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)
(+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))))
#s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 z z) y))
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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 (/.f64 (+.f64 #s(literal -1 binary64) (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 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))
(+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))))
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (*.f64 z z) y)
(/.f64 y (fma.f64 z y #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) x) z)
Outputs
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eval489.0ms (5.4%)

Memory
0.6MiB live, 665.4MiB allocated
Compiler

Compiled 60 485 to 4 942 computations (91.8% saved)

prune780.0ms (8.7%)

Memory
13.6MiB live, 173.3MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 90861 914
Fresh101
Picked415
Done033
Total1 913101 923
Accuracy
100.0%
Counts
1 923 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(fma.f64 (*.f64 x (neg.f64 z)) y x)
92.7%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
15.1%
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))))
29.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x z) y x) x (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64)))))
79.3%
(*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
81.0%
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))))
64.3%
(*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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))))
43.9%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
54.5%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
45.6%
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y))
Compiler

Compiled 281 to 185 computations (34.2% saved)

simplify255.0ms (2.8%)

Memory
-165.2MiB live, 201.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 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
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))
cost-diff0
(fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))
cost-diff0
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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)))
cost-diff0
(*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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))))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) y)
cost-diff0
(fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) z)
cost-diff0
(*.f64 (*.f64 (neg.f64 x) z) y)
cost-diff0
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y))
cost-diff0
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))
cost-diff0
#s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64))
cost-diff0
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))))
cost-diff128
(+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))
Rules
6 980×lower-fma.f32
6 970×lower-fma.f64
6 498×lower-*.f32
6 464×lower-*.f64
1 862×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066479
0107479
1224472
2580463
32401455
45017455
08237453
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))))
x
(+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))
(neg.f64 (*.f64 (*.f64 z z) y))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
y
(*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(*.f64 y z)
#s(literal 1 binary64)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
x
(fma.f64 z y #s(literal 1 binary64))
(*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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))))
x
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))
(fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64))
(*.f64 (*.f64 y z) y)
(*.f64 y z)
y
z
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(pow.f64 (*.f64 z y) #s(literal 3 binary64))
(*.f64 z y)
#s(literal 3 binary64)
(fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))
(fma.f64 z y #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) 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
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))
(*.f64 (*.f64 z x) y)
(*.f64 z x)
(*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))
#s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))
Outputs
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))))
(*.f64 (fma.f64 #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (neg.f64 z) z) y) #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64))) x)
x
(+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))
(fma.f64 #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (neg.f64 z) z) y) #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)))
#s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (neg.f64 z) z) y))
(neg.f64 (*.f64 (*.f64 z z) y))
(*.f64 (*.f64 (neg.f64 z) z) y)
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y))
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 z) x) y))
(*.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 x) z)
(*.f64 (neg.f64 z) x)
(neg.f64 x)
x
z
y
(*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 y z #s(literal 1 binary64))) (fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) y) #s(literal 1 binary64))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(*.f64 y z)
#s(literal 1 binary64)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
(/.f64 x (fma.f64 y z #s(literal 1 binary64)))
x
(fma.f64 z y #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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 (*.f64 (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
x
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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 (fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 z z) y) y #s(literal -1 binary64))
(*.f64 (*.f64 y z) y)
(*.f64 (*.f64 y y) z)
(*.f64 y z)
y
z
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(pow.f64 (*.f64 z y) #s(literal 3 binary64))
(pow.f64 (*.f64 y z) #s(literal 3 binary64))
(*.f64 z y)
(*.f64 y z)
#s(literal 3 binary64)
(fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))
(fma.f64 (*.f64 y z) (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z y #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64))) x) (fma.f64 (*.f64 (*.f64 (*.f64 z x) y) z) y #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) 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))
(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
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 z x) z) #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))
(*.f64 (*.f64 z x) y)
(*.f64 z x)
(*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))
(*.f64 #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) x)
#s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))

localize143.0ms (1.6%)

Memory
-27.4MiB live, 451.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.546844037453088
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64)))
accuracy5.636710492816681
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))
accuracy33.780700381042045
#s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))
accuracy41.85571299216072
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))))
accuracy2.181242923595871
(*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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))))
accuracy2.62298645559444
(fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64))
accuracy14.348930307074145
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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)))
accuracy20.11034476389046
(/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))
accuracy0
(neg.f64 z)
accuracy0.10451127930532605
(fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64))
accuracy2.8706518136840296
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
accuracy10.018848637992129
(*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
accuracy0
(*.f64 (neg.f64 x) z)
accuracy0
(neg.f64 x)
accuracy4.1855569602255995
(*.f64 (*.f64 (neg.f64 x) z) y)
accuracy33.7367879652745
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y))
accuracy8.272043378585378
(*.f64 (*.f64 z z) y)
accuracy10.21871422935184
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))
accuracy29.22015165109908
#s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64))
accuracy34.14164705091344
#s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))
Samples
100.0ms256×0valid
Compiler

Compiled 453 to 54 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 35.0ms (49.4% of total)
ival-pow: 13.0ms (18.4% of total)
ival-div: 9.0ms (12.7% of total)
ival-add: 7.0ms (9.9% of total)
ival-neg: 4.0ms (5.6% of total)
ival-sub: 2.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series90.0ms (1%)

Memory
30.9MiB live, 193.0MiB allocated
Counts
25 → 696
Calls
Call 1
Inputs
#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())
#s(alt (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) (patch (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (patch #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))) (patch (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (patch #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 x) z) y) (patch (*.f64 (*.f64 (neg.f64 x) z) y) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) z) (patch (*.f64 (neg.f64 x) z) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) #<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 (*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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)))) (patch (*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (patch (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))) (patch (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) 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 (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 (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 z z) y) (patch (*.f64 (*.f64 z z) y) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<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))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) #<representation binary64>) () ())
#s(alt #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) (patch #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) (patch (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) (patch (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) (patch (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) (patch (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) (patch (*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (patch #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#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 (/ x (+ 1 (* y z))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 (* y z))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 (* y z))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 (* y z))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) (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))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) (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))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) (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))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))) (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))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) (patch (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* y z))) (taylor -inf x) (#s(alt #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) (patch #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* y z))) (taylor -inf x) (#s(alt #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) (patch #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* y z))) (taylor -inf x) (#s(alt #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) (patch #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* y z))) (taylor -inf x) (#s(alt #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) (patch #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
8.0ms
x
@0
((+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (* (+ (* (* (neg z) y) (* y z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (neg z) y) (* y z)) 1) (* (neg z) y) (neg z) (* x (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (* (* y z) y) z) -1) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (/ y (+ (* z y) 1)) (* (* z z) y) (/ x (+ (* z y) 1)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (- x (* (* (neg y) x) z)))
6.0ms
x
@inf
((+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (* (+ (* (* (neg z) y) (* y z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (neg z) y) (* y z)) 1) (* (neg z) y) (neg z) (* x (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (* (* y z) y) z) -1) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (/ y (+ (* z y) 1)) (* (* z z) y) (/ x (+ (* z y) 1)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (- x (* (* (neg y) x) z)))
6.0ms
x
@-inf
((+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (* (+ (* (* (neg z) y) (* y z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (neg z) y) (* y z)) 1) (* (neg z) y) (neg z) (* x (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (* (* y z) y) z) -1) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (/ y (+ (* z y) 1)) (* (* z z) y) (/ x (+ (* z y) 1)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (- x (* (* (neg y) x) z)))
5.0ms
z
@-inf
((+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (* (+ (* (* (neg z) y) (* y z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (neg z) y) (* y z)) 1) (* (neg z) y) (neg z) (* x (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (* (* y z) y) z) -1) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (/ y (+ (* z y) 1)) (* (* z z) y) (/ x (+ (* z y) 1)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (- x (* (* (neg y) x) z)))
5.0ms
z
@inf
((+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1)))) (* x (+ (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))))) (pow (+ (* z y) 1) -1) (* (neg (* (* z z) y)) (/ y (+ (* z y) 1))) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (* (* (neg x) z) y) (* (neg x) z) (neg x) (* (+ (* (* (neg z) y) (* y z)) 1) (/ x (+ (* z y) 1))) (+ (* (* (neg z) y) (* y z)) 1) (* (neg z) y) (neg z) (* x (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1))) (* (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (+ (* (* (* y z) y) z) -1) (- -1 (pow (* z y) 3))) (+ (* (* (* y z) y) z) -1) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z)))) (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (pow x 3) (pow (* (* x (neg z)) y) 3) (/ y (+ (* z y) 1)) (* (* z z) y) (/ x (+ (* z y) 1)) (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (- x (* (* (neg y) x) z)))

simplify209.0ms (2.3%)

Memory
-4.7MiB live, 350.0MiB allocated
Algorithm
egg-herbie
Rules
13 356×lower-fma.f64
13 356×lower-fma.f32
5 656×lower-*.f64
5 656×lower-*.f32
3 650×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08558380
129637727
088867413
Stop Event
iter limit
node limit
Counts
696 → 680
Calls
Call 1
Inputs
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 (* z (- (* (pow y 2) z) y)))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
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 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
x
(+ x (* x (* y z)))
(+ x (* z (+ (* -1 (* x (* z (+ (* -1 (pow y 2)) (pow y 2))))) (* x y))))
(+ x (* z (+ (* x y) (* z (+ (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (* z (- (* x (pow y 3)) (* -1 (* x (pow y 3)))))))))))
1
(+ 1 (* y z))
(+ 1 (* z (+ y (* -1 (* z (+ (* -1 (pow y 2)) (pow y 2)))))))
(+ 1 (* z (+ y (* z (+ (* -1 (* z (- (pow y 3) (* -1 (pow y 3))))) (* -1 (+ (* -1 (pow y 2)) (pow y 2))))))))
1
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(+ 1 (* (pow z 2) (+ (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))))
(+ 1 (* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (pow y 3)) (* (pow y 5) (pow z 2)))))))
-1
(- (* (pow y 2) (pow z 2)) 1)
(- (* (pow y 2) (pow z 2)) 1)
(- (* (pow y 2) (pow z 2)) 1)
(pow x 2)
(+ (* (pow x 2) (* y z)) (pow x 2))
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
(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))))
y
(+ y (* -1 (* (pow y 2) z)))
(+ y (* z (- (* (pow y 3) z) (pow y 2))))
(+ y (* z (- (* z (- (* -1 (* (pow y 4) z)) (* -1 (pow y 3)))) (pow y 2))))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
x
(+ x (* -1 (* x (* y z))))
(+ x (* z (- (* x (* (pow y 2) z)) (* x y))))
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y))))
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))))
x
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(/ 1 (* y z))
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (- (+ (* -1 y) (/ 1 z)) (/ 1 (* y (pow z 2)))))
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))) (/ 1 (* y (pow z 2)))))
(* -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 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2))))
(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2))))
(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (* -1 (/ x z))))
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x z)) (* -1 (/ (* x (+ (* -1 (pow y 2)) (pow y 2))) (* (pow y 3) (pow z 2)))))))
(* z (+ (* -1 (* x y)) (+ (* -1 (/ x z)) (+ (* -1 (/ (* x (+ (* -1 (pow y 2)) (pow y 2))) (* (pow y 3) (pow z 2)))) (* -1 (/ (- (* -1 (/ x (pow y 2))) (/ x (pow y 2))) (pow z 3)))))))
(* -1 (* y z))
(* z (- (* -1 y) (/ 1 z)))
(* z (- (+ (* -1 y) (/ 2 (* (pow y 2) (pow z 3)))) (/ 1 z)))
(* z (- (+ (* -1 y) (+ (* 2 (/ 1 (* (pow y 2) (pow z 3)))) (* 2 (/ 1 (* (pow y 3) (pow z 4)))))) (/ 1 z)))
(/ -1 (* y z))
(/ (- (/ 1 (* (pow y 3) (pow z 2))) (/ 1 y)) z)
(/ (- (+ (/ 1 (* (pow y 3) (pow z 2))) (/ 1 (* (pow y 4) (pow z 3)))) (/ 1 y)) z)
(/ (- (+ (/ 1 (* (pow y 3) (pow z 2))) (/ 1 (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (/ 1 (* (pow y 6) (pow z 5))))) z)
(* (pow y 2) (pow z 2))
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))
(* (pow z 2) (- (pow y 2) (/ 1 (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) y) z) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* (pow x 2) (pow y 2)) (+ (/ (* (pow x 2) y) z) (/ (pow x 2) (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))))
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(/ (* 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)))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (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))))
(* (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))))
(/ x (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(/ x (+ 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))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* x (- 1 (* -1 (* y z))))
(* x (- 1 (* -1 (* y z))))
(* x (- 1 (* -1 (* y z))))
(* x (- 1 (* -1 (* y z))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 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))))
(/ (* 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)))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (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))))
(* (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))))
(/ x (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(/ x (+ 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))))
(/ (* x (+ 1 (* -1 (* (pow y 3) (pow z 3))))) (- (+ 1 (* (pow y 2) (pow z 2))) (* -1 (* y z))))
(* x (- 1 (* -1 (* y z))))
(* x (- 1 (* -1 (* y z))))
(* x (- 1 (* -1 (* y z))))
(* x (- 1 (* -1 (* y z))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* x (+ (* -1 (/ (* (pow y 2) (pow z 2)) (+ 1 (* y z)))) (/ 1 (+ 1 (* y z)))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (+ 1 (* y z)))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* -1 (/ (* x (* (+ 1 (* y (* z (+ 1 (* y z))))) (- (* (pow y 2) (pow z 2)) 1))) (+ 1 (* (pow y 3) (pow z 3)))))
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(* (pow x 2) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2)))))
(* -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))))
(/ x (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(/ x (+ 1 (* y z)))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))))
(* -1 (/ (* x (- (* (pow y 3) (pow z 3)) 1)) (+ 1 (+ (* y z) (* (pow y 2) (pow z 2))))))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
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)
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 x) (*.f64 z y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(+ 1 (* z (- (* (pow y 2) z) y)))
(fma.f64 (fma.f64 (*.f64 z z) y (neg.f64 z)) y #s(literal 1 binary64))
(+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)) z (neg.f64 y)) z #s(literal 1 binary64))
(* -1 (* (pow y 2) (pow z 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 z) z) y) y)
(* (pow z 2) (+ (* -1 (pow y 2)) (* (pow y 3) z)))
(*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) y (*.f64 (neg.f64 z) z)) y) y)
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (* (pow y 4) z)) (pow y 3)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (neg.f64 z) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 z z))
(* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* z (+ (* -1 (pow y 4)) (* (pow y 5) z))) (pow y 3)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) z (neg.f64 (pow.f64 y #s(literal 4 binary64)))) z (pow.f64 y #s(literal 3 binary64))) z)) (*.f64 z z))
x
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 x) (*.f64 z y) x)
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) y (*.f64 x z))) y 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 (fma.f64 (fma.f64 #s(literal 0 binary64) (*.f64 z y) #s(literal 0 binary64)) z (*.f64 (neg.f64 y) x)) z x)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 y) x) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 y) x) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 y) x) z)
(* -1 (* x (* y z)))
(*.f64 (*.f64 (neg.f64 y) x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
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)
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 x) (*.f64 z y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) z) z))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) z) z))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) z) z))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
x
(+ x (* x (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(+ x (* z (+ (* -1 (* x (* z (+ (* -1 (pow y 2)) (pow y 2))))) (* x y))))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(+ x (* z (+ (* x y) (* z (+ (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (* z (- (* x (pow y 3)) (* -1 (* x (pow y 3)))))))))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 x y)) z x)
1
#s(literal 1 binary64)
(+ 1 (* y z))
(fma.f64 z y #s(literal 1 binary64))
(+ 1 (* z (+ y (* -1 (* z (+ (* -1 (pow y 2)) (pow y 2)))))))
(fma.f64 z y #s(literal 1 binary64))
(+ 1 (* z (+ y (* z (+ (* -1 (* z (- (pow y 3) (* -1 (pow y 3))))) (* -1 (+ (* -1 (pow y 2)) (pow y 2))))))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) z #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) z) z))
(+ 1 (* (pow z 2) (+ (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))))
(fma.f64 (neg.f64 (fma.f64 z z (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow z 2) (+ (* -1 (pow y 2)) (* z (+ (* -1 (pow y 3)) (* (pow y 5) (pow z 2)))))))
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) z) z (neg.f64 (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 z z) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* (pow y 2) (pow z 2)) 1)
(fma.f64 (*.f64 z z) (*.f64 y y) #s(literal -1 binary64))
(- (* (pow y 2) (pow z 2)) 1)
(fma.f64 (*.f64 z z) (*.f64 y y) #s(literal -1 binary64))
(- (* (pow y 2) (pow z 2)) 1)
(fma.f64 (*.f64 z z) (*.f64 y y) #s(literal -1 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) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) x)
(+ (* z (+ (* (pow x 2) y) (* (pow x 2) (* (pow y 2) z)))) (pow x 2))
(*.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)) x) 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 (fma.f64 (neg.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 (fma.f64 (neg.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 (fma.f64 (neg.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 x #s(literal 3 binary64))) (*.f64 (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 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (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 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (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 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
y
(+ y (* -1 (* (pow y 2) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z y)) y)
(+ y (* z (- (* (pow y 3) z) (pow y 2))))
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) z y)
(+ y (* z (- (* z (- (* -1 (* (pow y 4) z)) (* -1 (pow y 3)))) (pow y 2))))
(fma.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (neg.f64 z) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) z)) z y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
x
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 x) (*.f64 z y) x)
(+ x (* z (- (* x (* (pow y 2) z)) (* x y))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 z z) y (neg.f64 z))) y x)
(+ x (* z (- (* z (- (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2))))) (* x y))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) y (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) z (*.f64 (neg.f64 y) x)) z x)
x
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 x) (*.f64 z y) x)
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) y (*.f64 x z))) y 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 (fma.f64 (fma.f64 #s(literal 0 binary64) (*.f64 z y) #s(literal 0 binary64)) z (*.f64 (neg.f64 y) x)) z x)
x
(+ x (* x (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(+ x (* x (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(+ x (* x (* y z)))
(*.f64 (fma.f64 z y #s(literal 1 binary64)) x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(* z (+ (* -1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
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rewrite203.0ms (2.3%)

Memory
-17.7MiB live, 297.2MiB allocated
Rules
6 168×lower-fma.f32
6 158×lower-fma.f64
4 596×lower-*.f32
4 562×lower-*.f64
3 394×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066367
0107357
1401345
22940341
08622334
Stop Event
iter limit
node limit
iter limit
Counts
25 → 955
Calls
Call 1
Inputs
(+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) z)
(neg.f64 x)
(*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
(*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))
(fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) 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))
(pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))
#s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 z z) y)
(/.f64 x (fma.f64 z y #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))))
#s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y))
Outputs
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eval217.0ms (2.4%)

Memory
20.0MiB live, 517.3MiB allocated
Compiler

Compiled 53 571 to 4 129 computations (92.3% saved)

prune61.0ms (0.7%)

Memory
-9.3MiB live, 162.0MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New1 65531 658
Fresh101
Picked145
Done044
Total1 657111 668
Accuracy
100.0%
Counts
1 668 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(fma.f64 (*.f64 x (neg.f64 z)) y x)
92.7%
(fma.f64 (*.f64 x (neg.f64 y)) z x)
15.1%
(/.f64 (+.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))))
15.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 x z) y)) x (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64)))))
79.3%
(*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
81.0%
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))))
64.3%
(*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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))))
43.9%
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
54.5%
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
42.7%
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 y) x) z))
45.6%
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y))
Compiler

Compiled 575 to 215 computations (62.6% saved)

regimes46.0ms (0.5%)

Memory
19.7MiB live, 98.1MiB allocated
Counts
21 → 2
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)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y))
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(fma.f64 (*.f64 x (neg.f64 z)) y x)
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(approx (/ y (+ (* z y) 1)) (/.f64 #s(literal 1 binary64) z)))))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 y z) #s(literal 1 binary64)) (/.f64 x (fma.f64 z y #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(approx (pow (+ (* z y) 1) -1) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))))
(*.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 x (+.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 x (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y z) y) z #s(literal -1 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 (+.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))))
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 z x) y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- x (* (* (neg y) x) z)) (*.f64 (*.f64 x z) y)) x (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x z) y x) x (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x z) y) #s(literal 3 binary64)))))
(/.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 (+.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
(fma.f64 (*.f64 x (neg.f64 z)) y x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Calls

6 calls:

11.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
9.0ms
y
7.0ms
x
6.0ms
z
6.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
98.8%2x
96.7%1y
96.7%1z
98.4%2(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
98.4%2(-.f64 #s(literal 1 binary64) (*.f64 y z))
98.4%2(*.f64 y z)
Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes10.0ms (0.1%)

Memory
-19.9MiB live, 18.9MiB allocated
Counts
6 → 2
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)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y))
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (*.f64 x (neg.f64 y)) z x)
Outputs
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Calls

3 calls:

5.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
3.0ms
x
2.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
98.4%2(-.f64 #s(literal 1 binary64) (*.f64 y z))
98.4%2(*.f64 y z)
96.6%1x
Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes13.0ms (0.1%)

Memory
36.6MiB live, 36.6MiB allocated
Counts
4 → 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)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y))
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y)))
Outputs
#s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.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)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y))
Calls

6 calls:

2.0ms
x
2.0ms
z
2.0ms
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
2.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
60.2%3x
79.2%3y
81.1%3z
86.9%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
95.9%3(-.f64 #s(literal 1 binary64) (*.f64 y z))
95.9%3(*.f64 y z)
Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes9.0ms (0.1%)

Memory
-14.4MiB live, 25.1MiB 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:

2.0ms
(*.f64 y z)
1.0ms
x
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
54.5%1x
54.5%1y
54.5%1z
54.5%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
54.5%1(-.f64 #s(literal 1 binary64) (*.f64 y z))
54.5%1(*.f64 y z)
Compiler

Compiled 18 to 26 computations (-44.4% saved)

bsearch13.0ms (0.1%)

Memory
-16.4MiB live, 26.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
4.376338959206667e-169
3.797052276724003e-165
Samples
5.0ms128×0valid
Compiler

Compiled 122 to 133 computations (-9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (79.9% of total)
ival-sub: 1.0ms (40% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.5157970532680685e+162
-2.211580056777716e+148
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
0.00017663083173054717
269.91334364119797
0.0ms
-164879127482.23633
-4.51318272620276
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify29.0ms (0.3%)

Memory
25.7MiB live, 64.5MiB allocated
Algorithm
egg-herbie
Rules
28×*-commutative-binary64-*.f64
14×neg-sub0-binary64--.f64-neg.f64
14×+-commutative-binary64-+.f64
14×neg-mul-1-binary64-*.f64-neg.f64
14×sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047187
169187
290187
3104187
4109187
5110187
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 7435931899434739/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (fma.f64 (*.f64 x (neg.f64 z)) y x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 (*.f64 y z) #s(literal -1999999999999999875699879276232794932901050318877935970751450631845371717764730004985710993928086121869799959243788426006365054187817298671525979841403102802477056 binary64)) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 (*.f64 y z) #s(literal -100000000000 binary64)) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 y z) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y))))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
Outputs
(if (<=.f64 x #s(literal 7435931899434739/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (fma.f64 (*.f64 x (neg.f64 z)) y x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 x #s(literal 7435931899434739/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (fma.f64 (*.f64 (neg.f64 z) x) y x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))
(if (<=.f64 (*.f64 y z) #s(literal -1999999999999999875699879276232794932901050318877935970751450631845371717764730004985710993928086121869799959243788426006365054187817298671525979841403102802477056 binary64)) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(if (<=.f64 (*.f64 y z) #s(literal -1999999999999999875699879276232794932901050318877935970751450631845371717764730004985710993928086121869799959243788426006365054187817298671525979841403102802477056 binary64)) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 y (*.f64 (neg.f64 z) x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) x))
(if (<=.f64 (*.f64 y z) #s(literal -100000000000 binary64)) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y)) (if (<=.f64 (*.f64 y z) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 (*.f64 (neg.f64 x) z) y))))
(if (<=.f64 (*.f64 y z) #s(literal -100000000000 binary64)) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 y (*.f64 (neg.f64 z) x))) (if (<=.f64 (*.f64 y z) #s(literal 7378697629483821/36893488147419103232 binary64)) (*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) #s(approx (/ (+ (pow x 3) (pow (* (* x (neg z)) y) 3)) (+ (* (* (* z x) y) (* (* z x) y)) (* x (- x (* (* (neg y) x) z))))) (*.f64 y (*.f64 (neg.f64 z) x)))))
(*.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x)

soundness840.0ms (9.3%)

Memory
-33.8MiB live, 494.6MiB allocated
Rules
22 928×lower-fma.f64
22 928×lower-fma.f32
13 286×lower-fma.f64
13 286×lower-fma.f32
6 910×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043446
1136416
2296416
3488416
42008416
55035416
66541416
77282416
87487416
97593416
107673416
08014416
035206
063180
1266144
21961144
08274144
0715
01015
13215
219215
3153215
0972613
08637870
129727358
088867088
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 184 to 104 computations (43.5% saved)

preprocess224.0ms (2.5%)

Memory
26.2MiB live, 220.7MiB allocated
Compiler

Compiled 302 to 170 computations (43.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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