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

Time bar (total: 13.6s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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 11 to 10 computations (9.1% saved)

sample852.0ms (6.3%)

Memory
45.9MiB live, 1 156.1MiB allocated
Samples
603.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 335.0ms
ival-sub: 197.0ms (58.7% of total)
ival-mult: 126.0ms (37.6% of total)
ival-true: 5.0ms (1.5% of total)
exact: 4.0ms (1.2% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess515.0ms (3.8%)

Memory
-34.7MiB live, 162.5MiB allocated
Algorithm
egg-herbie
Rules
1 608×unsub-neg
1 232×lower-fma.f64
1 232×lower-fma.f32
788×distribute-lft-in
690×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03290
110582
228581
3117481
4272081
5411181
6451681
7471081
8479681
9482881
10487981
11487981
12487981
13497781
14500581
089
0129
1239
2529
31539
44429
59399
613279
716259
816589
916589
016588
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(fma.f64 z (fma.f64 x y (neg.f64 x)) x)
Symmetry

(negabs x)

explain275.0ms (2%)

Memory
7.9MiB live, 128.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
120-0-(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-(*.f64 (-.f64 #s(literal 1 binary64) y) z)
00-0-y
00-0-#s(literal 1 binary64)
00-0-z
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))n*o120
Confusion
Predicted +Predicted -
+120
-0244
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1200
-00244
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0244
112
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
115.0ms510×0valid
0.0ms1valid
Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (51.3% of total)
ival-sub: 5.0ms (42.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify125.0ms (0.9%)

Memory
26.7MiB live, 64.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
Rules
1 232×lower-fma.f64
1 232×lower-fma.f32
496×lower-*.f32
492×lower-*.f64
440×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
12328
25228
315328
444228
593928
6132728
7162528
8165828
9165828
0165826
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
x
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
y
z
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(fma.f64 z (fma.f64 x y (neg.f64 x)) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
y
z

localize106.0ms (0.8%)

Memory
-0.4MiB live, 37.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy95.5%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Samples
95.0ms255×0valid
0.0ms1valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (51.8% of total)
ival-sub: 2.0ms (34.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory
-30.1MiB live, 11.4MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) y) z)>
#<alt (-.f64 #s(literal 1 binary64) y)>
Outputs
#<alt (- 1 z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (* y z)>
#<alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y))))>
#<alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y))))>
#<alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y))))>
#<alt (* y z)>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))>
#<alt 1>
#<alt (+ 1 (* z (- y 1)))>
#<alt (+ 1 (* z (- y 1)))>
#<alt (+ 1 (* z (- y 1)))>
#<alt (* z (- y 1))>
#<alt (* z (- (+ y (/ 1 z)) 1))>
#<alt (* z (- (+ y (/ 1 z)) 1))>
#<alt (* z (- (+ y (/ 1 z)) 1))>
#<alt (* -1 (* z (- 1 y)))>
#<alt (* z (+ (* -1 (- 1 y)) (/ 1 z)))>
#<alt (* z (+ (* -1 (- 1 y)) (/ 1 z)))>
#<alt (* z (+ (* -1 (- 1 y)) (/ 1 z)))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 z))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* x z) (/ (* x (- 1 z)) y)))>
#<alt (* y (+ (* x z) (/ (* x (- 1 z)) y)))>
#<alt (* y (+ (* x z) (/ (* x (- 1 z)) y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt x>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (* x (* z (- y 1)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* -1 (* x (* z (- 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))>
#<alt z>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
Calls

24 calls:

TimeVariablePointExpression
26.0ms
z
@inf
(* x (- 1 (* (- 1 y) z)))
2.0ms
z
@0
(* (- 1 y) z)
1.0ms
y
@inf
(* x (- 1 (* (- 1 y) z)))
1.0ms
x
@0
(* x (- 1 (* (- 1 y) z)))
1.0ms
z
@-inf
(- 1 (* (- 1 y) z))

rewrite478.0ms (3.5%)

Memory
-4.8MiB live, 454.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 326×lower-fma.f64
4 326×lower-fma.f32
3 522×lower-/.f64
3 522×lower-/.f32
3 346×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
14624
232824
3353824
0941422
Stop Event
iter limit
node limit
iter limit
Counts
4 → 445
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
Outputs
(+.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) z))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 z)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (+.f64 y #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 z)) (+.f64 #s(literal 1 binary64) y)))
(+.f64 z (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64))
(+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) z))
(-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 y z)))
(fma.f64 #s(literal 1 binary64) z (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(fma.f64 z #s(literal 1 binary64) (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 z (neg.f64 y) z) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (neg.f64 y) z) (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) z) #s(literal 1 binary64))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 z (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 z (neg.f64 y) z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) z) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 z) #s(literal 1 binary64))
(fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(fma.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
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(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))) (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))

simplify268.0ms (2%)

Memory
-18.2MiB live, 387.2MiB allocated
Algorithm
egg-herbie
Rules
7 140×lower-fma.f64
7 140×lower-fma.f32
2 672×lower-*.f64
2 672×lower-*.f32
1 336×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074613
1234592
2630592
31394592
44056592
56304592
67507592
08012544
Stop Event
iter limit
node limit
Counts
96 → 94
Calls
Call 1
Inputs
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
z
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
Outputs
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 (* y z)) z)
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(- (+ 1 (* y z)) z)
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(- (+ 1 (* y z)) z)
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* y z)
(*.f64 z y)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* y z)
(*.f64 z y)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
1
#s(literal 1 binary64)
(+ 1 (* z (- y 1)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(+ 1 (* z (- y 1)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(+ 1 (* z (- y 1)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- (+ y (/ 1 z)) 1))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* z (- (+ y (/ 1 z)) 1))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* z (- (+ y (/ 1 z)) 1))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* -1 (* z (- 1 y)))
(-.f64 (*.f64 z y) z)
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(-.f64 (fma.f64 z y #s(literal 1 binary64)) z)
(* x (- 1 (* z (- 1 y))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (- 1 z))
(-.f64 x (*.f64 z x))
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (* y z))
(*.f64 z (*.f64 y x))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (* y z))
(*.f64 z (*.f64 y x))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
x
(+ x (* x (* z (- y 1))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(+ x (* x (* z (- y 1))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(+ x (* x (* z (- y 1))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (* z (- y 1)))
(*.f64 z (-.f64 (*.f64 y x) x))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* -1 (* x (* z (- 1 y))))
(*.f64 z (-.f64 (*.f64 y x) x))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
z
(+ z (* -1 (* y z)))
(-.f64 z (*.f64 z y))
(+ z (* -1 (* y z)))
(-.f64 z (*.f64 z y))
(+ z (* -1 (* y z)))
(-.f64 z (*.f64 z y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* y (+ (* -1 z) (/ z y)))
(-.f64 z (*.f64 z y))
(* y (+ (* -1 z) (/ z y)))
(-.f64 z (*.f64 z y))
(* y (+ (* -1 z) (/ z y)))
(-.f64 z (*.f64 z y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y (+ z (* -1 (/ z y)))))
(-.f64 z (*.f64 z y))
(* -1 (* y (+ z (* -1 (/ z y)))))
(-.f64 z (*.f64 z y))
(* -1 (* y (+ z (* -1 (/ z y)))))
(-.f64 z (*.f64 z y))
(* z (- 1 y))
(-.f64 z (*.f64 z y))
(* z (- 1 y))
(-.f64 z (*.f64 z y))
(* z (- 1 y))
(-.f64 z (*.f64 z y))
(* z (- 1 y))
(-.f64 z (*.f64 z y))
(* z (- 1 y))
(-.f64 z (*.f64 z y))
(* z (- 1 y))
(-.f64 z (*.f64 z y))
(* z (- 1 y))
(-.f64 z (*.f64 z y))
(* z (- 1 y))
(-.f64 z (*.f64 z y))
(* z (- 1 y))
(-.f64 z (*.f64 z y))
(* z (- 1 y))
(-.f64 z (*.f64 z y))
(* z (- 1 y))
(-.f64 z (*.f64 z y))
(* z (- 1 y))
(-.f64 z (*.f64 z y))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

eval66.0ms (0.5%)

Memory
39.3MiB live, 190.9MiB allocated
Compiler

Compiled 14 716 to 1 729 computations (88.3% saved)

prune72.0ms (0.5%)

Memory
-0.9MiB live, 235.9MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5309539
Fresh000
Picked101
Done000
Total5319540
Accuracy
100.0%
Counts
540 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
95.5%
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
67.2%
(-.f64 x (*.f64 z x))
37.9%
(*.f64 z (*.f64 y x))
60.5%
(*.f64 x (-.f64 (*.f64 z y) z))
85.4%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))))
67.2%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
34.6%
(*.f64 x (*.f64 z y))
36.4%
(*.f64 x #s(literal 1 binary64))
Compiler

Compiled 176 to 114 computations (35.2% saved)

simplify65.0ms (0.5%)

Memory
-6.4MiB live, 109.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(*.f64 z (+.f64 y #s(literal -1 binary64)))
cost-diff0
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 z (*.f64 y x))
cost-diff0
(*.f64 z x)
cost-diff0
(-.f64 x (*.f64 z x))
cost-diff320
(*.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 z x)
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
Rules
1 232×lower-fma.f32
1 228×lower-fma.f64
496×lower-*.f32
486×lower-*.f64
248×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01464
02562
15462
213462
320462
433562
561562
699662
7119962
8123162
9123662
10123662
0123662
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 z x)
z
x
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x (*.f64 z x))
x
(*.f64 z x)
z
(*.f64 z (*.f64 y x))
z
(*.f64 y x)
y
x
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
(*.f64 z (+.f64 y #s(literal -1 binary64)))
z
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
x
Outputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 z x)
z
x
(*.f64 x #s(literal 1 binary64))
x
x
#s(literal 1 binary64)
(-.f64 x (*.f64 z x))
x
(*.f64 z x)
z
(*.f64 z (*.f64 y x))
(*.f64 y (*.f64 z x))
z
(*.f64 y x)
y
x
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(*.f64 z (+.f64 y #s(literal -1 binary64)))
(-.f64 (*.f64 y z) z)
z
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
x

localize105.0ms (0.8%)

Memory
-20.0MiB live, 107.3MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(*.f64 z (+.f64 y #s(literal -1 binary64)))
accuracy95.5%
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
accuracy100.0%
(*.f64 y x)
accuracy92.4%
(*.f64 z (*.f64 y x))
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(-.f64 x (*.f64 z x))
accuracy100.0%
(*.f64 x #s(literal 1 binary64))
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(*.f64 z x)
accuracy98.0%
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
Samples
36.0ms256×0valid
Compiler

Compiled 66 to 18 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 10.0ms (68.3% of total)
ival-add: 3.0ms (20.5% of total)
ival-sub: 1.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
28.5MiB live, 28.5MiB allocated
Counts
9 → 228
Calls
Call 1
Inputs
#<alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)>
#<alt (+.f64 y #s(literal -1 binary64))>
#<alt (*.f64 z x)>
#<alt (*.f64 x #s(literal 1 binary64))>
#<alt (-.f64 x (*.f64 z x))>
#<alt (*.f64 z (*.f64 y x))>
#<alt (*.f64 y x)>
#<alt (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)>
#<alt (*.f64 z (+.f64 y #s(literal -1 binary64)))>
Outputs
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt x>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (* x (* z (- y 1)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt x>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* z (- (/ x z) x))>
#<alt (* z (- (/ x z) x))>
#<alt (* z (- (/ x z) x))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt x>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (* x (* z (- y 1)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(* z (+ y -1))
2.0ms
x
@0
(+ (* (+ y -1) (* z x)) x)
0.0ms
z
@inf
(* z (* y x))
0.0ms
x
@inf
(+ (* (+ y -1) (* z x)) x)
0.0ms
x
@0
(* z (* y x))

rewrite429.0ms (3.2%)

Memory
1.5MiB live, 677.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 966×lower-fma.f32
8 962×lower-fma.f64
5 250×lower-*.f32
5 240×lower-*.f64
2 702×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01443
02541
110241
262141
3672141
0833941
Stop Event
iter limit
node limit
iter limit
Counts
9 → 596
Calls
Call 1
Inputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(+.f64 y #s(literal -1 binary64))
(*.f64 z x)
(*.f64 x #s(literal 1 binary64))
(-.f64 x (*.f64 z x))
(*.f64 z (*.f64 y x))
(*.f64 y x)
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
(*.f64 z (+.f64 y #s(literal -1 binary64)))
Outputs
(+.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))
(+.f64 (-.f64 x (*.f64 z x)) (*.f64 y (*.f64 z x)))
(+.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) x)
(+.f64 (*.f64 z (neg.f64 x)) (fma.f64 y (*.f64 z x) x))
(+.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (*.f64 z (*.f64 z x))))) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64))))))
(+.f64 (*.f64 y (*.f64 z x)) (-.f64 x (*.f64 z x)))
(+.f64 (+.f64 x (*.f64 y (*.f64 z x))) (*.f64 z (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (*.f64 z (*.f64 z x))))) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (*.f64 z (*.f64 z x))))) (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))))
(fma.f64 y (*.f64 z x) (-.f64 x (*.f64 z x)))
(fma.f64 #s(literal -1 binary64) (*.f64 z x) (fma.f64 y (*.f64 z x) x))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(fma.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (*.f64 z (*.f64 z x)))) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64))))))
(fma.f64 z (*.f64 y x) (-.f64 x (*.f64 z x)))
(fma.f64 z (fma.f64 y x (neg.f64 x)) x)
(fma.f64 z (neg.f64 x) (fma.f64 y (*.f64 z x) x))
(fma.f64 z (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 x x)))) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))
(fma.f64 x (-.f64 (*.f64 y z) z) x)
(fma.f64 x (*.f64 y z) (-.f64 x (*.f64 z x)))
(fma.f64 x (neg.f64 z) (fma.f64 y (*.f64 z x) x))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 z x)))
(fma.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (*.f64 z x)))
(fma.f64 x (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z x)))) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64))))))
(fma.f64 (*.f64 z x) y (-.f64 x (*.f64 z x)))
(fma.f64 (*.f64 z x) #s(literal -1 binary64) (fma.f64 y (*.f64 z x) x))
(fma.f64 (*.f64 z x) (+.f64 y #s(literal -1 binary64)) x)
(fma.f64 (*.f64 z x) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z x)) (*.f64 y (*.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 x)) (fma.f64 y (*.f64 z x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z x)) (-.f64 x (*.f64 z x)))
(fma.f64 (-.f64 x (*.f64 z x)) #s(literal 1 binary64) (*.f64 y (*.f64 z x)))
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simplify320.0ms (2.4%)

Memory
-13.8MiB live, 451.7MiB allocated
Algorithm
egg-herbie
Rules
11 102×lower-fma.f64
11 102×lower-fma.f32
3 082×lower-*.f64
3 082×lower-*.f32
1 602×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0681396
12191193
26161193
314801193
439931193
565851193
679721193
081021133
Stop Event
iter limit
node limit
Counts
228 → 211
Calls
Call 1
Inputs
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
x
x
x
x
x
x
x
x
x
x
x
x
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(* -1 (* x z))
(* z (- (/ x z) x))
(* z (- (/ x z) x))
(* z (- (/ x z) x))
(* -1 (* x z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(* y z)
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
Outputs
(+ x (* -1 (* x z)))
(-.f64 x (*.f64 x z))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* y z))
(*.f64 x (*.f64 z y))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* y z))
(*.f64 x (*.f64 z y))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
x
(+ x (* x (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (* x (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (* x (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* z (- y 1)))
(*.f64 z (-.f64 (*.f64 x y) x))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* z (- y 1)))
(*.f64 z (-.f64 (*.f64 x y) x))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
y
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
x
x
x
x
x
x
x
x
x
x
x
x
(* x (- 1 z))
(-.f64 x (*.f64 x z))
(* x (- 1 z))
(-.f64 x (*.f64 x z))
(* x (- 1 z))
(-.f64 x (*.f64 x z))
(* x (- 1 z))
(-.f64 x (*.f64 x z))
(* x (- 1 z))
(-.f64 x (*.f64 x z))
(* x (- 1 z))
(-.f64 x (*.f64 x z))
(* x (- 1 z))
(-.f64 x (*.f64 x z))
(* x (- 1 z))
(-.f64 x (*.f64 x z))
(* x (+ 1 (* -1 z)))
(-.f64 x (*.f64 x z))
(* x (+ 1 (* -1 z)))
(-.f64 x (*.f64 x z))
(* x (+ 1 (* -1 z)))
(-.f64 x (*.f64 x z))
(* x (+ 1 (* -1 z)))
(-.f64 x (*.f64 x z))
x
(+ x (* -1 (* x z)))
(-.f64 x (*.f64 x z))
(+ x (* -1 (* x z)))
(-.f64 x (*.f64 x z))
(+ x (* -1 (* x z)))
(-.f64 x (*.f64 x z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* z (- (/ x z) x))
(-.f64 x (*.f64 x z))
(* z (- (/ x z) x))
(-.f64 x (*.f64 x z))
(* z (- (/ x z) x))
(-.f64 x (*.f64 x z))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(-.f64 x (*.f64 x z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(-.f64 x (*.f64 x z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 x))))
(-.f64 x (*.f64 x z))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
x
(+ x (* x (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (* x (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (* x (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* z (- y 1)))
(*.f64 z (-.f64 (*.f64 x y) x))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* z (- y 1)))
(*.f64 z (-.f64 (*.f64 x y) x))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (* -1 (* x z)))
(-.f64 x (*.f64 x z))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* y z))
(*.f64 x (*.f64 z y))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* y z))
(*.f64 x (*.f64 z y))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* z (- y 1))
(-.f64 (*.f64 z y) z)
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* y z))
(-.f64 (*.f64 z y) z)
(+ (* -1 z) (* y z))
(-.f64 (*.f64 z y) z)
(+ (* -1 z) (* y z))
(-.f64 (*.f64 z y) z)
(* y z)
(*.f64 z y)
(* y (+ z (* -1 (/ z y))))
(-.f64 (*.f64 z y) z)
(* y (+ z (* -1 (/ z y))))
(-.f64 (*.f64 z y) z)
(* y (+ z (* -1 (/ z y))))
(-.f64 (*.f64 z y) z)
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (/ z y))))
(-.f64 (*.f64 z y) z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(-.f64 (*.f64 z y) z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(-.f64 (*.f64 z y) z)

eval107.0ms (0.8%)

Memory
14.7MiB live, 221.5MiB allocated
Compiler

Compiled 21 034 to 1 241 computations (94.1% saved)

prune103.0ms (0.8%)

Memory
-11.8MiB live, 188.0MiB allocated
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New9089917
Fresh314
Picked325
Done000
Total91412926
Accuracy
100.0%
Counts
926 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.4%
(fma.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) x x)
95.4%
(fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) x x)
98.0%
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
98.0%
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (*.f64 z x) x)
67.9%
(fma.f64 (*.f64 z y) x x)
67.2%
(fma.f64 (neg.f64 z) x x)
38.2%
(*.f64 (*.f64 z x) y)
34.6%
(*.f64 (*.f64 y z) x)
37.9%
(*.f64 z (*.f64 y x))
32.6%
(*.f64 z (neg.f64 x))
60.5%
(*.f64 x (-.f64 (*.f64 z y) z))
36.4%
x
Compiler

Compiled 227 to 142 computations (37.4% saved)

simplify561.0ms (4.1%)

Memory
17.6MiB live, 654.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
cost-diff0
(-.f64 (*.f64 z y) z)
cost-diff0
(*.f64 x (-.f64 (*.f64 z y) z))
cost-diff0
(*.f64 z x)
cost-diff0
(*.f64 (*.f64 z x) y)
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) x x)
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (*.f64 z x) x)
cost-diff320
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
cost-diff1408
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
Rules
23 592×lower-fma.f32
23 588×lower-fma.f64
2 808×lower-*.f32
2 796×lower-*.f64
2 306×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01898
033108
163100
216276
362376
4266976
0805876
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (*.f64 z x) x)
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(+.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(+.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 z x)
z
x
x
(fma.f64 (neg.f64 z) x x)
(neg.f64 z)
z
x
(*.f64 (*.f64 z x) y)
(*.f64 z x)
z
x
y
(*.f64 x (-.f64 (*.f64 z y) z))
x
(-.f64 (*.f64 z y) z)
(*.f64 z y)
z
y
Outputs
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (*.f64 z x) x)
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(+.f64 y #s(literal -1 binary64))
(+.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 z x)
z
x
x
(fma.f64 (neg.f64 z) x x)
(-.f64 x (*.f64 z x))
(neg.f64 z)
z
x
(*.f64 (*.f64 z x) y)
(*.f64 y (*.f64 z x))
(*.f64 z x)
z
x
y
(*.f64 x (-.f64 (*.f64 z y) z))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
x
(-.f64 (*.f64 z y) z)
(-.f64 (*.f64 y z) z)
(*.f64 z y)
(*.f64 y z)
z
y

localize152.0ms (1.1%)

Memory
15.0MiB live, 126.4MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(-.f64 (*.f64 z y) z)
accuracy95.4%
(*.f64 x (-.f64 (*.f64 z y) z))
accuracy100.0%
(*.f64 z x)
accuracy91.7%
(*.f64 (*.f64 z x) y)
accuracy100.0%
(fma.f64 (neg.f64 z) x x)
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
accuracy99.8%
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
accuracy98.0%
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (*.f64 z x) x)
Samples
130.0ms255×0valid
1.0ms5exit
Compiler

Compiled 100 to 22 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-mult: 62.0ms (53.2% of total)
ival-add: 50.0ms (42.9% of total)
ival-div: 2.0ms (1.7% of total)
ival-sub: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series91.0ms (0.7%)

Memory
-26.0MiB live, 19.0MiB allocated
Counts
11 → 252
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))>
#<alt (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))>
#<alt (fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (*.f64 z x) x)>
#<alt (+.f64 y #s(literal 1 binary64))>
#<alt (fma.f64 (neg.f64 z) x x)>
#<alt (neg.f64 z)>
#<alt (*.f64 (*.f64 z x) y)>
#<alt (*.f64 z x)>
#<alt (*.f64 x (-.f64 (*.f64 z y) z))>
#<alt (-.f64 (*.f64 z y) z)>
#<alt (*.f64 z y)>
Outputs
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt -1>
#<alt (- (* 2 y) 1)>
#<alt (- (* y (+ 2 (* -2 y))) 1)>
#<alt (- (* y (+ 2 (* y (- (* 2 y) 2)))) 1)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 y)))>
#<alt (- (+ 1 (/ 2 (pow y 2))) (* 2 (/ 1 y)))>
#<alt (- (+ 1 (/ 2 (pow y 2))) (+ (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 y)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 y))) y)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 y))) y))) y)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt x>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (* x (* z (- y 1)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt x>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (- (* y z) z))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* x (* z (+ 1 (* -1 y)))))>
#<alt (* -1 (* x (* z (+ 1 (* -1 y)))))>
#<alt (* -1 (* x (* z (+ 1 (* -1 y)))))>
#<alt (* -1 (* x (* z (+ 1 (* -1 y)))))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* -1 (* z (+ 1 (* -1 y))))>
#<alt (* -1 (* z (+ 1 (* -1 y))))>
#<alt (* -1 (* z (+ 1 (* -1 y))))>
#<alt (* -1 (* z (+ 1 (* -1 y))))>
#<alt (* -1 z)>
#<alt (- (* y z) z)>
#<alt (- (* y z) z)>
#<alt (- (* y z) z)>
#<alt (* y z)>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
Calls

63 calls:

TimeVariablePointExpression
84.0ms
z
@-inf
(+ (* (neg z) x) x)
0.0ms
z
@-inf
(* x (- (* z y) z))
0.0ms
x
@0
(* x (- (* z y) z))
0.0ms
x
@inf
(* x (- (* z y) z))
0.0ms
x
@0
(+ (* (neg z) x) x)

rewrite1.2s (8.8%)

Memory
-8.1MiB live, 667.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
16 150×lower-fma.f32
16 146×lower-fma.f64
6 578×lower-*.f32
6 566×lower-*.f64
2 778×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01873
03367
112751
296751
0900251
Stop Event
iter limit
node limit
iter limit
Counts
11 → 1 387
Calls
Call 1
Inputs
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (*.f64 z x) x)
(+.f64 y #s(literal 1 binary64))
(fma.f64 (neg.f64 z) x x)
(neg.f64 z)
(*.f64 (*.f64 z x) y)
(*.f64 z x)
(*.f64 x (-.f64 (*.f64 z y) z))
(-.f64 (*.f64 z y) z)
(*.f64 z y)
Outputs
(+.f64 y #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) y)
(+.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) y))
(+.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) y) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) y (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64)))))
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(/.f64 (fma.f64 y (*.f64 z (*.f64 y (*.f64 y (*.f64 z z)))) #s(literal 0 binary64)) (fma.f64 y (*.f64 y (*.f64 z z)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y z) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 z z))) #s(literal 0 binary64)) (-.f64 (*.f64 y z) #s(literal 0 binary64)))
(*.f64 y z)
(*.f64 y (*.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 z y)
(*.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 (*.f64 z #s(literal 1 binary64)) y)

simplify567.0ms (4.2%)

Memory
27.4MiB live, 510.4MiB allocated
Algorithm
egg-herbie
Rules
10 084×lower-fma.f64
10 084×lower-fma.f32
3 138×lower-*.f64
3 138×lower-*.f32
1 364×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01161388
13751276
210001268
324901264
455351264
081071228
Stop Event
iter limit
node limit
Counts
252 → 246
Calls
Call 1
Inputs
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
-1
(- (* 2 y) 1)
(- (* y (+ 2 (* -2 y))) 1)
(- (* y (+ 2 (* y (- (* 2 y) 2)))) 1)
1
(- 1 (* 2 (/ 1 y)))
(- (+ 1 (/ 2 (pow y 2))) (* 2 (/ 1 y)))
(- (+ 1 (/ 2 (pow y 2))) (+ (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 3)))))
1
(- 1 (* 2 (/ 1 y)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 y))) y)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 y))) y))) y)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 1)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (- (* y z) z))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* -1 (* z (+ 1 (* -1 y))))
(* -1 (* z (+ 1 (* -1 y))))
(* -1 (* z (+ 1 (* -1 y))))
(* -1 (* z (+ 1 (* -1 y))))
(* -1 z)
(- (* y z) z)
(- (* y z) z)
(- (* y z) z)
(* y z)
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
Outputs
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
y
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
-1
#s(literal -1 binary64)
(- (* 2 y) 1)
(fma.f64 y #s(literal 2 binary64) #s(literal -1 binary64))
(- (* y (+ 2 (* -2 y))) 1)
(fma.f64 y (fma.f64 y #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* y (+ 2 (* y (- (* 2 y) 2)))) 1)
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(- (+ 1 (/ 2 (pow y 2))) (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) y))
(- (+ 1 (/ 2 (pow y 2))) (+ (* 2 (/ 1 y)) (* 2 (/ 1 (pow y 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 y))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) y))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 y))) y))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) y)) y)) y))
(+ x (* -1 (* x z)))
(fma.f64 x (neg.f64 z) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* x (* y z))
(*.f64 z (*.f64 y x))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* x (* y z))
(*.f64 z (*.f64 y x))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
x
(+ x (* x (* z (- y 1))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(+ x (* x (* z (- y 1))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(+ x (* x (* z (- y 1))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* x (* z (- y 1)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* x (* z (- y 1)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
x
(+ x (* -1 (* x z)))
(fma.f64 x (neg.f64 z) x)
(+ x (* -1 (* x z)))
(fma.f64 x (neg.f64 z) x)
(+ x (* -1 (* x z)))
(fma.f64 x (neg.f64 z) x)
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* z (+ (* -1 x) (/ x z)))
(fma.f64 x (neg.f64 z) x)
(* z (+ (* -1 x) (/ x z)))
(fma.f64 x (neg.f64 z) x)
(* z (+ (* -1 x) (/ x z)))
(fma.f64 x (neg.f64 z) x)
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 x (neg.f64 z) x)
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 x (neg.f64 z) x)
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 x (neg.f64 z) x)
(* x (+ 1 (* -1 z)))
(fma.f64 x (neg.f64 z) x)
(* x (+ 1 (* -1 z)))
(fma.f64 x (neg.f64 z) x)
(* x (+ 1 (* -1 z)))
(fma.f64 x (neg.f64 z) x)
(* x (+ 1 (* -1 z)))
(fma.f64 x (neg.f64 z) x)
(* x (+ 1 (* -1 z)))
(fma.f64 x (neg.f64 z) x)
(* x (+ 1 (* -1 z)))
(fma.f64 x (neg.f64 z) x)
(* x (+ 1 (* -1 z)))
(fma.f64 x (neg.f64 z) x)
(* x (+ 1 (* -1 z)))
(fma.f64 x (neg.f64 z) x)
(* -1 (* x (- z 1)))
(fma.f64 x (neg.f64 z) x)
(* -1 (* x (- z 1)))
(fma.f64 x (neg.f64 z) x)
(* -1 (* x (- z 1)))
(fma.f64 x (neg.f64 z) x)
(* -1 (* x (- z 1)))
(fma.f64 x (neg.f64 z) x)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x (- (* y z) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (- (* y z) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (- (* y z) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (- (* y z) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (- (* y z) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (- (* y z) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (- (* y z) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (- (* y z) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (- (* y z) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (- (* y z) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (- (* y z) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (- (* y z) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (* z (- y 1)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (* z (- y 1)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (* z (- y 1)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (* z (- y 1)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (* z (- y 1)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (* z (- y 1)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (* z (- y 1)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (* z (- y 1)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* -1 (* x (* z (+ 1 (* -1 y)))))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* -1 (* x z))
(*.f64 x (neg.f64 z))
(+ (* -1 (* x z)) (* x (* y z)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(+ (* -1 (* x z)) (* x (* y z)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(+ (* -1 (* x z)) (* x (* y z)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* x (* y z))
(*.f64 z (*.f64 y x))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 x z))
(* z (- y 1))
(-.f64 (*.f64 y z) z)
(* z (- y 1))
(-.f64 (*.f64 y z) z)
(* z (- y 1))
(-.f64 (*.f64 y z) z)
(* z (- y 1))
(-.f64 (*.f64 y z) z)
(* z (- y 1))
(-.f64 (*.f64 y z) z)
(* z (- y 1))
(-.f64 (*.f64 y z) z)
(* z (- y 1))
(-.f64 (*.f64 y z) z)
(* z (- y 1))
(-.f64 (*.f64 y z) z)
(* -1 (* z (+ 1 (* -1 y))))
(-.f64 (*.f64 y z) z)
(* -1 (* z (+ 1 (* -1 y))))
(-.f64 (*.f64 y z) z)
(* -1 (* z (+ 1 (* -1 y))))
(-.f64 (*.f64 y z) z)
(* -1 (* z (+ 1 (* -1 y))))
(-.f64 (*.f64 y z) z)
(* -1 z)
(neg.f64 z)
(- (* y z) z)
(-.f64 (*.f64 y z) z)
(- (* y z) z)
(-.f64 (*.f64 y z) z)
(- (* y z) z)
(-.f64 (*.f64 y z) z)
(* y z)
(*.f64 y z)
(* y (+ z (* -1 (/ z y))))
(-.f64 (*.f64 y z) z)
(* y (+ z (* -1 (/ z y))))
(-.f64 (*.f64 y z) z)
(* y (+ z (* -1 (/ z y))))
(-.f64 (*.f64 y z) z)
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(-.f64 (*.f64 y z) z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(-.f64 (*.f64 y z) z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(-.f64 (*.f64 y z) z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)

eval328.0ms (2.4%)

Memory
-6.6MiB live, 548.0MiB allocated
Compiler

Compiled 41 162 to 3 507 computations (91.5% saved)

prune233.0ms (1.7%)

Memory
-13.0MiB live, 669.8MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1 75741 761
Fresh145
Picked235
Done112
Total1 761121 773
Accuracy
100.0%
Counts
1 773 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.4%
(fma.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) x x)
67.9%
(fma.f64 (*.f64 z y) x x)
67.2%
(fma.f64 (neg.f64 z) x x)
63.0%
(/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
58.5%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x))))
63.1%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
38.2%
(*.f64 (*.f64 z x) y)
34.6%
(*.f64 (*.f64 y z) x)
37.9%
(*.f64 z (*.f64 y x))
32.6%
(*.f64 z (neg.f64 x))
60.5%
(*.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
36.4%
x
Compiler

Compiled 216 to 142 computations (34.3% saved)

simplify770.0ms (5.7%)

Memory
38.3MiB live, 908.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x))
cost-diff1408
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x)))
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
cost-diff0
(*.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
cost-diff1088
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
cost-diff0
(*.f64 z y)
cost-diff0
(fma.f64 (*.f64 z y) x x)
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 z (neg.f64 x))
cost-diff0
(fma.f64 y y #s(literal -1 binary64))
cost-diff0
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
cost-diff0
(fma.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) x x)
cost-diff1088
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
Rules
28 328×lower-fma.f32
28 322×lower-fma.f64
4 516×lower--.f64
4 516×lower--.f32
3 328×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023148
044153
194123
2238112
3991112
44229112
08738112
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) x x)
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
z
(fma.f64 y y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
x
(*.f64 z (neg.f64 x))
z
(neg.f64 x)
x
(fma.f64 (*.f64 z y) x x)
(*.f64 z y)
z
y
x
(*.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
x
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
z
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x))))
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x)))
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 z x)
z
x
Outputs
(fma.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) x x)
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 z (+.f64 y #s(literal -1 binary64)))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
z
(fma.f64 y y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
x
(*.f64 z (neg.f64 x))
z
(neg.f64 x)
x
(fma.f64 (*.f64 z y) x x)
(fma.f64 z (*.f64 y x) x)
(*.f64 z y)
z
y
x
(*.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 z (-.f64 (*.f64 y x) x))
x
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 z (+.f64 y #s(literal -1 binary64)))
z
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x))))
(*.f64 z (-.f64 (*.f64 y x) x))
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 z x)
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x))
(/.f64 (*.f64 z x) (+.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 z x)
z
x

localize196.0ms (1.4%)

Memory
-24.6MiB live, 133.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z x)
accuracy96.6%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x))))
accuracy96.2%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x))
accuracy92.9%
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x)))
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
accuracy99.8%
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
accuracy95.4%
(*.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
accuracy100.0%
(*.f64 z y)
accuracy95.4%
(fma.f64 (*.f64 z y) x x)
accuracy100.0%
(*.f64 z (neg.f64 x))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy95.5%
(fma.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) x x)
accuracy94.4%
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
accuracy92.6%
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
Samples
133.0ms256×0valid
Compiler

Compiled 150 to 28 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 46.0ms (49.8% of total)
ival-div: 40.0ms (43.3% of total)
ival-add: 5.0ms (5.4% of total)
ival-neg: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
30.4MiB live, 30.4MiB allocated
Counts
17 → 420
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))>
#<alt (fma.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) x x)>
#<alt (*.f64 z (fma.f64 y y #s(literal -1 binary64)))>
#<alt (fma.f64 y y #s(literal -1 binary64))>
#<alt (*.f64 z (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (fma.f64 (*.f64 z y) x x)>
#<alt (*.f64 z y)>
#<alt (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))>
#<alt (*.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))>
#<alt (+.f64 y #s(literal -1 binary64))>
#<alt (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x))>
#<alt (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x))))>
#<alt (+.f64 y #s(literal 1 binary64))>
#<alt (*.f64 z x)>
Outputs
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt x>
#<alt (+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))>
#<alt (+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))>
#<alt (+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (* x (* y z))>
#<alt (* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))>
#<alt (* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))>
#<alt (* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))>
#<alt (* z (- (pow y 2) 1))>
#<alt (* z (- (pow y 2) 1))>
#<alt (* z (- (pow y 2) 1))>
#<alt (* z (- (pow y 2) 1))>
#<alt (* z (- (pow y 2) 1))>
#<alt (* z (- (pow y 2) 1))>
#<alt (* z (- (pow y 2) 1))>
#<alt (* z (- (pow y 2) 1))>
#<alt (* z (- (pow y 2) 1))>
#<alt (* z (- (pow y 2) 1))>
#<alt (* z (- (pow y 2) 1))>
#<alt (* z (- (pow y 2) 1))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* (pow y 2) z))>
#<alt (+ (* -1 z) (* (pow y 2) z))>
#<alt (+ (* -1 z) (* (pow y 2) z))>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))>
#<alt (* (pow y 2) z)>
#<alt (* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))>
#<alt -1>
#<alt (- (pow y 2) 1)>
#<alt (- (pow y 2) 1)>
#<alt (- (pow y 2) 1)>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt x>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt -1>
#<alt (- (* -1 y) 1)>
#<alt (- (* y (- (* -1 y) 1)) 1)>
#<alt (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (/ 1 y)) y)>
#<alt (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)>
#<alt (/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (/ 1 y)) y)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (+ (* -1 (* x (* y z))) (* x z))>
#<alt (+ (* x z) (* y (- (* x (* y z)) (* x z))))>
#<alt (+ (* x z) (* y (- (* y (- (* -1 (* x (* y z))) (* -1 (* x z)))) (* x z))))>
#<alt (/ (* x z) y)>
#<alt (/ (+ (* -1 (/ (* x z) y)) (* x z)) y)>
#<alt (/ (- (+ (* x z) (/ (* x z) (pow y 2))) (/ (* x z) y)) y)>
#<alt (/ (- (+ (* -1 (/ (* x z) (pow y 3))) (* x z)) (+ (* -1 (/ (* x z) (pow y 2))) (/ (* x z) y))) y)>
#<alt (/ (* x z) y)>
#<alt (* -1 (/ (+ (* -1 (* x z)) (/ (* x z) y)) y))>
#<alt (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (- (/ (* x z) y) (* x z)) y))) y))>
#<alt (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (- (* -1 (/ (- (/ (* x z) y) (* x z)) y)) (* x z)) y))) y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (/ (* x z) (+ 1 y))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
Calls

105 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+ (* (/ (* z (+ (* y y) -1)) (+ y 1)) x) x)
1.0ms
z
@0
(/ (* z (+ (* y y) -1)) (+ y 1))
1.0ms
z
@inf
(/ (* z (+ (* y y) -1)) (+ y 1))
0.0ms
y
@inf
(/ (* z (+ (* y y) -1)) (+ y 1))
0.0ms
y
@0
(/ (* z (+ (* y y) -1)) (+ y 1))

rewrite473.0ms (3.5%)

Memory
-44.6MiB live, 813.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 618×lower-fma.f32
9 612×lower-fma.f64
4 386×lower-*.f32
4 370×lower-*.f64
4 206×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023117
044122
117381
2122881
0867381
Stop Event
iter limit
node limit
iter limit
Counts
17 → 2 241
Calls
Call 1
Inputs
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) x x)
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(fma.f64 y y #s(literal -1 binary64))
(*.f64 z (neg.f64 x))
(neg.f64 x)
(fma.f64 (*.f64 z y) x x)
(*.f64 z y)
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(+.f64 y #s(literal -1 binary64))
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x))))
(+.f64 y #s(literal 1 binary64))
(*.f64 z x)
Outputs
(+.f64 (*.f64 z y) (neg.f64 z))
(+.f64 (neg.f64 z) (*.f64 z y))
(+.f64 (neg.f64 z) (*.f64 (neg.f64 z) (neg.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 #s(literal 1 binary64) (*.f64 z y)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 z (*.f64 y y))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 z (*.f64 y y))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 z)))
(+.f64 (*.f64 (neg.f64 z) (neg.f64 y)) (neg.f64 z))
(+.f64 (*.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) y) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) z))) #s(literal -1 binary64)))
(-.f64 (*.f64 z y) z)
(-.f64 #s(literal 0 binary64) (fma.f64 z (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 z (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 z (neg.f64 y) z))
(fma.f64 z y (neg.f64 z))
(fma.f64 z #s(literal -1 binary64) (*.f64 z y))
(fma.f64 z #s(literal -1 binary64) (*.f64 (neg.f64 z) (neg.f64 y)))
(fma.f64 y z (neg.f64 z))
(fma.f64 #s(literal -1 binary64) z (*.f64 z y))
(fma.f64 #s(literal -1 binary64) z (*.f64 (neg.f64 z) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 #s(literal 1 binary64) (*.f64 z y)))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (neg.f64 z))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 z (*.f64 y y))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 z (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 z)))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 z y))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 y)))
(fma.f64 (neg.f64 z) (neg.f64 y) (neg.f64 z))
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) y (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) y))
(fma.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) (*.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)))
(neg.f64 (fma.f64 z (neg.f64 y) z))
(neg.f64 (*.f64 (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z (fma.f64 y y #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 z (neg.f64 y) z) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) z))))
(neg.f64 (/.f64 (*.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z y) z)))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
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(*.f64 (/.f64 (-.f64 (*.f64 z y) z) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 x (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 z y) z) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 z y) z) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 z y) z) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 z y) z) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (/.f64 (*.f64 z x) (+.f64 y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
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(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (*.f64 z x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (/.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
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(*.f64 (/.f64 (/.f64 (*.f64 z x) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (/.f64 (*.f64 z x) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
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(*.f64 (/.f64 (/.f64 (*.f64 z x) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)))
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(*.f64 (/.f64 (*.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (*.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 z x) (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 z x) (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 z x) (+.f64 y #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))))
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(*.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 z x) (+.f64 y #s(literal 1 binary64)))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 z x) (+.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 z x) (+.f64 y #s(literal 1 binary64)))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (/.f64 (*.f64 x (neg.f64 z)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 x (neg.f64 z)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
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(*.f64 (/.f64 (*.f64 x (neg.f64 z)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 y #s(literal 1 binary64))))
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(*.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))))
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(*.f64 (/.f64 (*.f64 z x) (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 x (neg.f64 z)) (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))))

simplify345.0ms (2.5%)

Memory
8.6MiB live, 476.4MiB allocated
Algorithm
egg-herbie
Rules
11 612×lower-fma.f64
11 612×lower-fma.f32
3 926×lower-*.f64
3 926×lower-*.f32
1 572×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01652555
15252535
214382514
346292487
082472358
Stop Event
iter limit
node limit
Counts
420 → 413
Calls
Call 1
Inputs
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(* y z)
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
x
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
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(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))
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(+ x (+ (* -1 (* x z)) (* x (* y z))))
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(+ x (+ (* -1 (* x z)) (* x (* y z))))
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(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
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(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
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(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
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(+ (* -1 z) (* (pow y 2) z))
(+ (* -1 z) (* (pow y 2) z))
(* (pow y 2) z)
(* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))
(* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))
(* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))
(* (pow y 2) z)
(* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))
(* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))
(* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))
-1
(- (pow y 2) 1)
(- (pow y 2) 1)
(- (pow y 2) 1)
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
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(* (pow y 2) (- 1 (/ 1 (pow y 2))))
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(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(+ x (* x (* y z)))
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(* z (+ (* x y) (/ x z)))
(* z (+ (* x y) (/ x z)))
(* z (+ (* x y) (/ x z)))
(* x (* y z))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
x
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(+ x (* x (* y z)))
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(* y (+ (* x z) (/ x y)))
(* y (+ (* x z) (/ x y)))
(* y (+ (* x z) (/ x y)))
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(* y z)
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(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(* y z)
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
-1
(- (* -1 y) 1)
(- (* y (- (* -1 y) 1)) 1)
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1)
(/ 1 y)
(/ (+ 1 (/ 1 y)) y)
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y)
(/ 1 y)
(/ (+ 1 (/ 1 y)) y)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(+ (* -1 (* x (* y z))) (* x z))
(+ (* x z) (* y (- (* x (* y z)) (* x z))))
(+ (* x z) (* y (- (* y (- (* -1 (* x (* y z))) (* -1 (* x z)))) (* x z))))
(/ (* x z) y)
(/ (+ (* -1 (/ (* x z) y)) (* x z)) y)
(/ (- (+ (* x z) (/ (* x z) (pow y 2))) (/ (* x z) y)) y)
(/ (- (+ (* -1 (/ (* x z) (pow y 3))) (* x z)) (+ (* -1 (/ (* x z) (pow y 2))) (/ (* x z) y))) y)
(/ (* x z) y)
(* -1 (/ (+ (* -1 (* x z)) (/ (* x z) y)) y))
(* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (- (/ (* x z) y) (* x z)) y))) y))
(* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (- (* -1 (/ (- (/ (* x z) y) (* x z)) y)) (* x z)) y))) y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(/ (* x z) (+ 1 y))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
Outputs
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* y z))
(-.f64 (*.f64 z y) z)
(+ (* -1 z) (* y z))
(-.f64 (*.f64 z y) z)
(+ (* -1 z) (* y z))
(-.f64 (*.f64 z y) z)
(* y z)
(*.f64 z y)
(* y (+ z (* -1 (/ z y))))
(-.f64 (*.f64 z y) z)
(* y (+ z (* -1 (/ z y))))
(-.f64 (*.f64 z y) z)
(* y (+ z (* -1 (/ z y))))
(-.f64 (*.f64 z y) z)
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (/ z y))))
(-.f64 (*.f64 z y) z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(-.f64 (*.f64 z y) z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(-.f64 (*.f64 z y) z)
x
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z x)) (+.f64 y #s(literal 1 binary64)))
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z x)) (+.f64 y #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(+ x (* -1 (* x z)))
(-.f64 x (*.f64 z x))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (* y z))
(*.f64 z (*.f64 y x))
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (* y z))
(*.f64 z (*.f64 y x))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))
(fma.f64 z (-.f64 (*.f64 y x) x) x)
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (/.f64 x (+.f64 y #s(literal 1 binary64)))) x)
(* z (- (pow y 2) 1))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* z (- (pow y 2) 1))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* z (- (pow y 2) 1))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* z (- (pow y 2) 1))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* z (- (pow y 2) 1))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* z (- (pow y 2) 1))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* z (- (pow y 2) 1))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* z (- (pow y 2) 1))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* z (- (pow y 2) 1))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* z (- (pow y 2) 1))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* z (- (pow y 2) 1))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* z (- (pow y 2) 1))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* (pow y 2) z))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(+ (* -1 z) (* (pow y 2) z))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(+ (* -1 z) (* (pow y 2) z))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* (pow y 2) z)
(*.f64 z (*.f64 y y))
(* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
(* (pow y 2) (+ z (* -1 (/ z (pow y 2)))))
(*.f64 z (fma.f64 y y #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 (* x z))
(*.f64 z (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
x
(+ x (* x (* y z)))
(fma.f64 z (*.f64 y x) x)
(+ x (* x (* y z)))
(fma.f64 z (*.f64 y x) x)
(+ x (* x (* y z)))
(fma.f64 z (*.f64 y x) x)
(* x (* y z))
(*.f64 z (*.f64 y x))
(* z (+ (* x y) (/ x z)))
(fma.f64 z (*.f64 y x) x)
(* z (+ (* x y) (/ x z)))
(fma.f64 z (*.f64 y x) x)
(* z (+ (* x y) (/ x z)))
(fma.f64 z (*.f64 y x) x)
(* x (* y z))
(*.f64 z (*.f64 y x))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(fma.f64 z (*.f64 y x) x)
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(fma.f64 z (*.f64 y x) x)
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(fma.f64 z (*.f64 y x) x)
x
(+ x (* x (* y z)))
(fma.f64 z (*.f64 y x) x)
(+ x (* x (* y z)))
(fma.f64 z (*.f64 y x) x)
(+ x (* x (* y z)))
(fma.f64 z (*.f64 y x) x)
(* x (* y z))
(*.f64 z (*.f64 y x))
(* y (+ (* x z) (/ x y)))
(fma.f64 z (*.f64 y x) x)
(* y (+ (* x z) (/ x y)))
(fma.f64 z (*.f64 y x) x)
(* y (+ (* x z) (/ x y)))
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(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 z (-.f64 x (*.f64 y x))))
(/ (* x z) y)
(*.f64 (/.f64 z y) x)
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(/ (* x z) y)
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(* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (- (* -1 (/ (- (/ (* x z) y) (* x z)) y)) (* x z)) y))) y))
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 z y) z) x) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64))) y)
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(*.f64 z (-.f64 (*.f64 y x) x))
1
#s(literal 1 binary64)
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y
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(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
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(*.f64 z x)
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(*.f64 z x)
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(*.f64 z x)
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(*.f64 z x)
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(*.f64 z x)
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(*.f64 z x)
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(*.f64 z x)
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(*.f64 z x)
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(* x z)
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(*.f64 z x)
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(*.f64 z x)
(* x z)
(*.f64 z x)

eval504.0ms (3.7%)

Memory
28.1MiB live, 795.0MiB allocated
Compiler

Compiled 69 123 to 6 557 computations (90.5% saved)

prune826.0ms (6.1%)

Memory
-168.1MiB live, 849.3MiB allocated
Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New2 97232 975
Fresh033
Picked325
Done044
Total2 975122 987
Accuracy
100.0%
Counts
2 987 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.9%
(fma.f64 (/.f64 (*.f64 z (*.f64 y y)) (+.f64 y #s(literal 1 binary64))) x x)
67.9%
(fma.f64 (*.f64 z y) x x)
67.2%
(fma.f64 (neg.f64 z) x x)
63.0%
(/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
34.9%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 z y) x)))
63.1%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
38.2%
(*.f64 (*.f64 z x) y)
34.6%
(*.f64 (*.f64 y z) x)
37.9%
(*.f64 z (*.f64 y x))
32.6%
(*.f64 z (neg.f64 x))
34.5%
(*.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) y)))
36.4%
x
Compiler

Compiled 329 to 143 computations (56.5% saved)

regimes81.0ms (0.6%)

Memory
35.7MiB live, 111.2MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 x (*.f64 z x))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (*.f64 z y))
(*.f64 z (*.f64 y x))
(*.f64 (*.f64 y z) x)
(*.f64 (*.f64 z x) y)
(fma.f64 (*.f64 z y) x x)
(*.f64 x (-.f64 (*.f64 z y) z))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(*.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 z (*.f64 y y)) (+.f64 y #s(literal 1 binary64))) x x)
(fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) x x)
(fma.f64 (/.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) x x)
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 z y) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x))))
(fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (*.f64 z x) x)
Outputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
Calls

7 calls:

31.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
10.0ms
y
8.0ms
z
8.0ms
x
8.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
Results
AccuracySegmentsBranch
98.0%1x
98.0%1y
98.0%1z
98.0%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
98.0%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
98.0%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
98.0%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes45.0ms (0.3%)

Memory
-40.5MiB live, 96.9MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 x (*.f64 z x))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (*.f64 z y))
(*.f64 z (*.f64 y x))
(*.f64 (*.f64 y z) x)
(*.f64 (*.f64 z x) y)
(fma.f64 (*.f64 z y) x x)
(*.f64 x (-.f64 (*.f64 z y) z))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
Outputs
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
Calls

7 calls:

11.0ms
y
7.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
5.0ms
x
5.0ms
z
5.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
Results
AccuracySegmentsBranch
99.9%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
99.9%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
95.5%1(-.f64 #s(literal 1 binary64) y)
95.5%1x
95.5%1y
99.9%3z
99.9%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes36.0ms (0.3%)

Memory
23.8MiB live, 99.9MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 x (*.f64 z x))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (*.f64 z y))
(*.f64 z (*.f64 y x))
(*.f64 (*.f64 y z) x)
(*.f64 (*.f64 z x) y)
(fma.f64 (*.f64 z y) x x)
(*.f64 x (-.f64 (*.f64 z y) z))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
Outputs
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
(fma.f64 (*.f64 z y) x x)
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
Calls

7 calls:

6.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
6.0ms
(-.f64 #s(literal 1 binary64) y)
5.0ms
z
5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
75.2%4x
94.1%3y
94.1%3(-.f64 #s(literal 1 binary64) y)
91.1%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
97.5%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
97.5%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
97.9%3z
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes16.0ms (0.1%)

Memory
-5.5MiB live, 40.7MiB allocated
Counts
12 → 5
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 x (*.f64 z x))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (*.f64 z y))
(*.f64 z (*.f64 y x))
(*.f64 (*.f64 y z) x)
(*.f64 (*.f64 z x) y)
(fma.f64 (*.f64 z y) x x)
(*.f64 x (-.f64 (*.f64 z y) z))
Outputs
(*.f64 (*.f64 z x) y)
(*.f64 x (-.f64 (*.f64 z y) z))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (-.f64 (*.f64 z y) z))
(*.f64 z (*.f64 y x))
Calls

3 calls:

7.0ms
z
4.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
4.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
Results
AccuracySegmentsBranch
99.3%5(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
99.3%5(*.f64 (-.f64 #s(literal 1 binary64) y) z)
93.4%3z
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes17.0ms (0.1%)

Memory
-0.0MiB live, 39.3MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 x (*.f64 z x))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (*.f64 z y))
(*.f64 z (*.f64 y x))
(*.f64 (*.f64 y z) x)
(*.f64 (*.f64 z x) y)
(fma.f64 (*.f64 z y) x x)
Outputs
(fma.f64 (*.f64 z y) x x)
(fma.f64 (neg.f64 z) x x)
(fma.f64 (*.f64 z y) x x)
Calls

4 calls:

5.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
4.0ms
y
4.0ms
(-.f64 #s(literal 1 binary64) y)
4.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
Results
AccuracySegmentsBranch
94.1%3y
94.1%3(-.f64 #s(literal 1 binary64) y)
79.2%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
79.2%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
Compiler

Compiled 28 to 21 computations (25% saved)

regimes16.0ms (0.1%)

Memory
-9.2MiB live, 29.7MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 x (*.f64 z x))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (*.f64 z y))
(*.f64 z (*.f64 y x))
(*.f64 (*.f64 y z) x)
(*.f64 (*.f64 z x) y)
Outputs
(*.f64 z (*.f64 y x))
(fma.f64 (neg.f64 z) x x)
(*.f64 z (*.f64 y x))
Calls

4 calls:

4.0ms
(-.f64 #s(literal 1 binary64) y)
4.0ms
y
4.0ms
z
4.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Results
AccuracySegmentsBranch
80.2%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
67.2%1z
89.8%3y
89.8%3(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes6.0ms (0%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 x (*.f64 z x))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (*.f64 z y))
Outputs
(*.f64 x (*.f64 z y))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (*.f64 z y))
Calls

2 calls:

3.0ms
y
3.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
86.4%3y
86.4%3(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes18.0ms (0.1%)

Memory
-32.1MiB live, 48.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 x (*.f64 z x))
(fma.f64 (neg.f64 z) x x)
Outputs
(fma.f64 (neg.f64 z) x x)
Calls

6 calls:

4.0ms
x
3.0ms
y
3.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
3.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
Results
AccuracySegmentsBranch
67.2%1x
67.2%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
67.2%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
67.2%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
67.2%1y
67.2%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes184.0ms (1.4%)

Memory
4.9MiB live, 43.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 x (*.f64 z x))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) z))
Calls

7 calls:

169.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms
x
2.0ms
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
2.0ms
z
Results
AccuracySegmentsBranch
67.2%1x
67.2%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
67.2%1z
67.2%1y
67.2%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
67.2%1(-.f64 #s(literal 1 binary64) y)
67.2%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes13.0ms (0.1%)

Memory
28.0MiB live, 28.0MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 x))
Outputs
(*.f64 z (neg.f64 x))
x
(*.f64 z (neg.f64 x))
Calls

7 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
2.0ms
z
Results
AccuracySegmentsBranch
40.9%3x
65.0%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
65.2%3z
43.8%5y
65.0%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
39.8%3(-.f64 #s(literal 1 binary64) y)
53.4%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes89.0ms (0.7%)

Memory
-14.3MiB live, 24.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
Outputs
x
Calls

7 calls:

80.0ms
z
2.0ms
x
1.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1.0ms
y
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Results
AccuracySegmentsBranch
36.4%1(-.f64 #s(literal 1 binary64) y)
36.4%1y
36.4%1x
36.4%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
36.4%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
36.4%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
36.4%1z
Compiler

Compiled 48 to 35 computations (27.1% saved)

bsearch381.0ms (2.8%)

Memory
-14.1MiB live, 25.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
376.0ms
216906163.94881776
69781330368407.56
4.0ms
-2.1045261551923718e+30
-2.9077188235449084e+29
Samples
373.0ms192×0valid
Compiler

Compiled 291 to 206 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 368.0ms
ival-sub: 366.0ms (99.4% of total)
ival-mult: 2.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory
10.7MiB live, 10.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.6251433919365297
735.2573418657835
10.0ms
-1.6644721308209018
-7.048381619801134e-5
Samples
11.0ms256×0valid
Compiler

Compiled 351 to 238 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (53.3% of total)
ival-sub: 2.0ms (35.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.089434239905074e+304
+inf
0.0ms
216906163.94881776
3566924279.374748
0.0ms
-7487750.6113333525
-442111.5431171143
0.0ms
-inf
-1.30198396465897e+305
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000098
1.0000000000016436
0.0ms
-0.8863858660311994
0.5131197996154577
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0455361103295282e+57
7.863914429145279e+61
0.0ms
-8.195690277129106e+30
-2.5377158029164747e+26
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0455361103295282e+57
7.863914429145279e+61
0.0ms
-8.195690277129106e+30
-2.5377158029164747e+26
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.6251433919365297
735.2573418657835
1.0ms
-1.6644721308209018
-7.048381619801134e-5
Compiler

Compiled 223 to 174 computations (22% saved)

simplify11.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
egg-herbie
Rules
32×*-commutative_binary64
16×+-commutative_binary64
14×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065238
190238
2103238
3109238
4111238
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(if (<=.f64 z #s(literal -399999999999999965732603428864 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) (if (<=.f64 z #s(literal 27000000000000 binary64)) (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) (if (<=.f64 z #s(literal 1 binary64)) (fma.f64 (*.f64 z y) x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -inf.0 binary64)) (*.f64 (*.f64 z x) y) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -5000000 binary64)) (*.f64 x (-.f64 (*.f64 z y) z)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 400000000 binary64)) (fma.f64 (neg.f64 z) x x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) (*.f64 x (-.f64 (*.f64 z y) z)) (*.f64 z (*.f64 y x))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (fma.f64 (*.f64 z y) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 562949953421875/562949953421312 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 (*.f64 z y) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4999999999999999817948147482624 binary64)) (*.f64 z (*.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2000000000000000096693384231107318115056789691781028511744 binary64)) (fma.f64 (neg.f64 z) x x) (*.f64 z (*.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4999999999999999817948147482624 binary64)) (*.f64 x (*.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2000000000000000096693384231107318115056789691781028511744 binary64)) (fma.f64 (neg.f64 z) x x) (*.f64 x (*.f64 z y))))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) x (*.f64 z (neg.f64 x))))
x
Outputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(if (<=.f64 z #s(literal -399999999999999965732603428864 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) (if (<=.f64 z #s(literal 27000000000000 binary64)) (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))
(if (<=.f64 z #s(literal -399999999999999965732603428864 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) (if (<=.f64 z #s(literal 27000000000000 binary64)) (fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) (if (<=.f64 z #s(literal 1 binary64)) (fma.f64 (*.f64 z y) x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) (if (<=.f64 z #s(literal 1 binary64)) (fma.f64 (*.f64 y z) x x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -inf.0 binary64)) (*.f64 (*.f64 z x) y) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -5000000 binary64)) (*.f64 x (-.f64 (*.f64 z y) z)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 400000000 binary64)) (fma.f64 (neg.f64 z) x x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) (*.f64 x (-.f64 (*.f64 z y) z)) (*.f64 z (*.f64 y x))))))
(if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal -inf.0 binary64)) (*.f64 y (*.f64 z x)) (if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal -5000000 binary64)) (*.f64 x (-.f64 (*.f64 y z) z)) (if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 400000000 binary64)) (fma.f64 (neg.f64 z) x x) (if (<=.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) (*.f64 x (-.f64 (*.f64 y z) z)) (*.f64 z (*.f64 y x))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (fma.f64 (*.f64 z y) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 562949953421875/562949953421312 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 (*.f64 z y) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (fma.f64 (*.f64 y z) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 562949953421875/562949953421312 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 (*.f64 y z) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4999999999999999817948147482624 binary64)) (*.f64 z (*.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2000000000000000096693384231107318115056789691781028511744 binary64)) (fma.f64 (neg.f64 z) x x) (*.f64 z (*.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4999999999999999817948147482624 binary64)) (*.f64 x (*.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2000000000000000096693384231107318115056789691781028511744 binary64)) (fma.f64 (neg.f64 z) x x) (*.f64 x (*.f64 z y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -4999999999999999817948147482624 binary64)) (*.f64 x (*.f64 y z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2000000000000000096693384231107318115056789691781028511744 binary64)) (fma.f64 (neg.f64 z) x x) (*.f64 x (*.f64 y z))))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) x (*.f64 z (neg.f64 x))))
x

soundness2.3s (16.8%)

Memory
15.2MiB live, 931.1MiB allocated
Rules
16 150×lower-fma.f32
16 146×lower-fma.f64
11 102×lower-fma.f64
11 102×lower-fma.f32
8 966×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01443
02541
110241
262141
3672141
0833941
074613
1234592
2630592
31394592
44056592
56304592
67507592
08012544
0824
01224
14624
232824
3353824
0941422
0681396
12191193
26161193
314801193
439931193
565851193
679721193
081021133
01873
03367
112751
296751
0900251
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 458 to 206 computations (55% saved)

preprocess170.0ms (1.2%)

Memory
2.2MiB live, 242.1MiB allocated
Remove

(negabs x)

Compiler

Compiled 688 to 222 computations (67.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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