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

Time bar (total: 10.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
1×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)

sample1.8s (17.7%)

Memory
53.9MiB live, 1 279.9MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 683.0ms
ival-sub: 337.0ms (49.3% of total)
ival-mult: 330.0ms (48.3% of total)
ival-true: 7.0ms (1% of total)
exact: 6.0ms (0.9% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain207.0ms (2%)

Memory
18.5MiB live, 247.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
110-0-(*.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*o110
Confusion
Predicted +Predicted -
+110
-0245
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1100
-00245
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0245
111
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
40.0ms512×0valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 13.0ms (57.7% of total)
ival-sub: 9.0ms (39.9% of total)
ival-true: 1.0ms (4.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess250.0ms (2.4%)

Memory
-11.6MiB live, 90.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03290
17586
218984
352683
4114681
5169081
6227681
7365981
8458981
9515481
10543081
11569081
12620081
13627681
14628881
15658881
16698881
17738281
18738281
19739081
20740881
21740881
089
0129
1199
2349
3719
41679
53449
64379
75259
85619
05619
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
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)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))) x)
Symmetry

(negabs x)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify14.0ms (0.1%)

Memory
-29.8MiB live, 16.7MiB allocated
Algorithm
1×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 #s(literal 1 binary64) (*.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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
11928
23428
37128
416728
534428
643728
752528
856128
056128
Stop Event
1×iter limit
1×saturated
1×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)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
y
z

localize19.0ms (0.2%)

Memory
36.6MiB live, 36.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.015625
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy2.661393907546656
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Samples
14.0ms256×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (47.1% of total)
ival-mult: 3.0ms (47.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-32.0MiB live, 14.5MiB allocated
Counts
4 → 33
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(-.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
(* x (- 1 (* z (- 1 y))))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(- 1 z)
(- (+ 1 (* y z)) z)
z
(+ z (* -1 (* y z)))
1
(+ 1 (* -1 y))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* -1 (* y z))
(* y (+ (* -1 z) (/ z y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (- 1 (/ 1 y))))
x
(+ x (* x (* z (- y 1))))
(+ 1 (* z (- y 1)))
(* z (- 1 y))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
Calls

9 calls:

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

simplify195.0ms (1.9%)

Memory
3.3MiB live, 197.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074193
1241192
2651192
31785192
44358192
08315179
Stop Event
1×iter limit
1×node limit
Counts
33 → 31
Calls
Call 1
Inputs
(* x (- 1 (* z (- 1 y))))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(- 1 z)
(- (+ 1 (* y z)) z)
z
(+ z (* -1 (* y z)))
1
(+ 1 (* -1 y))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* -1 (* y z))
(* y (+ (* -1 z) (/ z y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (- 1 (/ 1 y))))
x
(+ x (* x (* z (- y 1))))
(+ 1 (* z (- y 1)))
(* z (- 1 y))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
Outputs
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 (* y z)) z)
(fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64))
z
(+ z (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* x (* y z))
(*.f64 (*.f64 z x) y)
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)
(* y z)
(*.f64 z y)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* y (+ (* -1 z) (/ z y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64))
(* -1 (* y (+ z (* -1 (/ z y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 (* y (- 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))
x
(+ x (* x (* z (- y 1))))
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)
(+ 1 (* z (- y 1)))
(fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64))
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)
(* z (- y 1))
(*.f64 (+.f64 #s(literal -1 binary64) y) z)
(* z (- (+ y (/ 1 z)) 1))
(fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64))
(* -1 (* x (* z (- 1 y))))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)
(* -1 (* z (- 1 y)))
(*.f64 (+.f64 #s(literal -1 binary64) y) z)
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64))

rewrite236.0ms (2.3%)

Memory
7.5MiB live, 297.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
14324
228724
3273924
0900222
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 347
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(-.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 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x)) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))) x)) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x))) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))) x))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))) x) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) z)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (*.f64 (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.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 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #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 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)

eval105.0ms (1%)

Memory
-3.1MiB live, 141.2MiB allocated
Compiler

Compiled 8 179 to 1 435 computations (82.5% saved)

prune23.0ms (0.2%)

Memory
-14.4MiB live, 32.3MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3539362
Fresh000
Picked101
Done000
Total3549363
Accuracy
100.0%
Counts
363 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.4%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
▶69.6%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
▶63.0%
(*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
48.1%
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
▶66.2%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
55.4%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
▶34.7%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
▶95.9%
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x))
40.3%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
Compiler

Compiled 284 to 202 computations (28.9% saved)

simplify125.0ms (1.2%)

Memory
30.2MiB live, 121.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff0
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
cost-diff0
(*.f64 y y)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff0
(*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
cost-diff1
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))
cost-diff0
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))
cost-diff0
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
cost-diff0
(+.f64 #s(literal -1 binary64) y)
cost-diff0
(*.f64 (+.f64 #s(literal -1 binary64) y) z)
cost-diff0
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032205
053205
194205
2215205
3707205
42287204
55407204
08049198
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x))
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)
(*.f64 (+.f64 #s(literal -1 binary64) y) z)
(+.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
z
x
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
x
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
x
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))
(*.f64 z y)
z
y
(*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
x
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
(/.f64 z (-.f64 #s(literal 1 binary64) y))
z
(-.f64 #s(literal 1 binary64) y)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
y
z
#s(literal 2 binary64)
(/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
x
(fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) x)
(*.f64 (+.f64 #s(literal -1 binary64) y) z)
(+.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
z
x
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x)
x
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) x)
x
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))
(*.f64 z y)
z
y
(*.f64 x (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 (/.f64 z (+.f64 #s(literal -1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)) x)
x
(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 z (+.f64 #s(literal -1 binary64) y)) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
(/.f64 z (-.f64 #s(literal 1 binary64) y))
z
(-.f64 #s(literal 1 binary64) y)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
y
z
#s(literal 2 binary64)
(/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
x
(fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))

localize228.0ms (2.2%)

Memory
-38.1MiB live, 73.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy0.1015625
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))
accuracy3.950133099245348
(/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
accuracy14.888194641588333
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
accuracy0.0
(*.f64 y y)
accuracy0.015625
(/.f64 z (-.f64 #s(literal 1 binary64) y))
accuracy2.673112657546656
(*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
accuracy6.975616118074706
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
accuracy0.0
(*.f64 z y)
accuracy2.661393907546656
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
accuracy40.304958775445655
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))
accuracy0.0
(-.f64 #s(literal 1 binary64) z)
accuracy2.661393907546656
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
accuracy22.944896594540957
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))
accuracy0.0
(+.f64 #s(literal -1 binary64) y)
accuracy0.0
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x))
accuracy0.015625
(*.f64 (+.f64 #s(literal -1 binary64) y) z)
accuracy2.645768907546656
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)
Samples
63.0ms256×0valid
Compiler

Compiled 188 to 29 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 27.0ms (59.7% of total)
ival-sub: 6.0ms (13.3% of total)
ival-add: 5.0ms (11.1% of total)
ival-div: 3.0ms (6.6% of total)
ival-pow2: 3.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series93.0ms (0.9%)

Memory
27.8MiB live, 70.9MiB allocated
Counts
20 → 134
Calls
Call 1
Inputs
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x))
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)
(*.f64 (+.f64 #s(literal -1 binary64) y) z)
(+.f64 #s(literal -1 binary64) y)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))
(*.f64 z y)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(/.f64 z (-.f64 #s(literal 1 binary64) y))
(/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
Outputs
(* x (- 1 (* z (- 1 y))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (/ (* z (- 1 (pow y 2))) (- 1 y))))
(/ (* x (- 1 (* (pow z 2) (pow (- 1 y) 2)))) (+ 1 (* z (- 1 y))))
(/ x (+ 1 (* z (- 1 y))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* -1 z)
(+ (* -1 z) (* y z))
-1
(- y 1)
(- 1 z)
(- (+ 1 (* y z)) z)
(* y z)
(+ 1 z)
(+ 1 (+ z (* y z)))
(* x (+ 1 z))
(+ (* x (* y z)) (* x (+ 1 z)))
1
(+ 1 (* -1 (pow y 2)))
(pow y 2)
(/ (* x (- 1 (pow z 2))) (+ 1 z))
(+ (* y (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))
(+ (* y (- (+ (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* y (- (* -1 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (* -1 (/ (* x (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))
(+ (* y (- (+ (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* y (- (+ (* -1 (/ (* x (pow z 2)) (+ 1 z))) (/ (* y (* z (- (* -1 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (* -1 (/ (* x (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))
(- 1 (pow z 2))
(- (+ 1 (* 2 (* y (pow z 2)))) (pow z 2))
(- (+ 1 (* y (- (* -1 (* y (pow z 2))) (* -2 (pow z 2))))) (pow z 2))
(pow z 2)
(+ (* -2 (* y (pow z 2))) (pow z 2))
(+ (* y (+ (* -2 (pow z 2)) (* y (pow z 2)))) (pow z 2))
z
(+ z (* -1 (* y z)))
(+ z (* y z))
(+ z (* y (- (* y z) (* -1 z))))
(+ z (* y (- (* y (- (* y z) (* -1 z))) (* -1 z))))
(/ x (+ 1 z))
(+ (/ x (+ 1 z)) (/ (* x (* y z)) (pow (+ 1 z) 2)))
(+ (* y (- (/ (* x (* y (pow z 2))) (pow (+ 1 z) 3)) (* -1 (/ (* x z) (pow (+ 1 z) 2))))) (/ x (+ 1 z)))
(+ (* y (- (* y (- (/ (* x (* y (pow z 3))) (pow (+ 1 z) 4)) (* -1 (/ (* x (pow z 2)) (pow (+ 1 z) 3))))) (* -1 (/ (* x z) (pow (+ 1 z) 2))))) (/ x (+ 1 z)))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ z (* -1 (/ z y))))
y
(* y (- 1 (/ 1 y)))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (+ z (/ 1 y)) (* -1 (/ z y))))
(* y (+ (* x z) (/ (* x (- 1 (* -1 z))) y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(* y (- (+ (* -2 (/ (* x z) y)) (* x z)) (* -1 (/ (* x (+ 1 z)) y))))
(* y (- (+ (* -2 (/ (* x z) y)) (+ (* -1 (/ (* x (- 1 (pow z 2))) (* (pow y 2) z))) (* x z))) (+ (* -1 (/ (* x (+ 1 z)) y)) (* -1 (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) (* (pow y 2) z))))))
(* y (- (+ (* -2 (/ (* x z) y)) (+ (* -1 (/ (* x (- 1 (pow z 2))) (* (pow y 2) z))) (+ (* x z) (/ (* (+ 1 z) (- (* -1 (/ (* x (- 1 (pow z 2))) z)) (* -1 (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z)))) (* (pow y 3) z))))) (+ (* -1 (/ (* x (+ 1 z)) y)) (* -1 (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) (* (pow y 2) z))))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (* 2 (/ (pow z 2) y)) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ (* -2 (/ (pow z 2) y)) (+ (/ (pow z 2) (pow y 2)) (pow z 2)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -2 (/ (pow z 2) y)) (pow z 2)))
(* (pow y 2) (+ (* -2 (/ (pow z 2) y)) (+ (/ (pow z 2) (pow y 2)) (pow z 2))))
(* -1 (* y z))
(* y (+ (* -1 z) (/ z y)))
(* -1 (/ z y))
(/ (+ (* -1 z) (* -1 (/ z y))) y)
(/ (- (+ (* -1 z) (* -1 (/ z (pow y 2)))) (/ z y)) y)
(/ (- (+ (* -1 z) (* -1 (/ z (pow y 3)))) (+ (/ z y) (/ z (pow y 2)))) y)
(* -1 (/ x (* y z)))
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x (+ 1 z)) (* y (pow z 2))))) y)
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow (+ 1 z) 2)) (* (pow y 2) (pow z 3))))) (/ (* x (+ 1 z)) (* y (pow z 2)))) y)
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow (+ 1 z) 3)) (* (pow y 3) (pow z 4))))) (+ (/ (* x (+ 1 z)) (* y (pow z 2))) (/ (* x (pow (+ 1 z) 2)) (* (pow y 2) (pow z 3))))) y)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (+ (* -1 z) (* -1 (/ (- 1 (* -1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 (* -1 z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (* -2 (* x z)) (* -1 (* x (+ 1 z)))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (/ (* x (- 1 (pow z 2))) z) (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z)) y))) (* -1 (* x (+ 1 z)))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (+ (/ (* x (- 1 (pow z 2))) z) (/ (* (+ 1 z) (- (/ (* x (- 1 (pow z 2))) z) (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z))) (* y z))) (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z)) y))) (* -1 (* x (+ 1 z)))) y)))))
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow z 2)) y)) (* 2 (pow z 2))) y)) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* 2 (pow z 2))) y)) (pow z 2)))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (/ (+ z (/ z y)) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ z y)) z) y))) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ z y) (* -1 z)) y)) z) y))) y))
(* -1 (/ (+ (/ x z) (/ (* x (+ 1 z)) (* y (pow z 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow (+ 1 z) 2)) (* y (pow z 3)))) (/ (* x (+ 1 z)) (pow z 2))) y)) (/ x z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (+ 1 z) 3)) (* y (pow z 4))) (* -1 (/ (* x (pow (+ 1 z) 2)) (pow z 3)))) y)) (/ (* x (+ 1 z)) (pow z 2))) y)) (/ x z)) y))
x
(+ x (* x (* z (- y 1))))
(* z (- y 1))
(+ 1 (* z (- y 1)))
(+ 1 (* -1 z))
(+ 1 (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))))
(+ x (* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y))))))
(+ x (* -1 (* x (* z (- 1 y)))))
(+ 1 (* -1 (* (pow z 2) (pow (- 1 y) 2))))
(* (pow z 2) (pow (- 1 y) 2))
(* z (- 1 y))
(/ z (- 1 y))
(+ x (* z (- (* x (* z (pow (- 1 y) 2))) (* x (- 1 y)))))
(+ x (* z (- (* z (- (* -1 (* x (* z (pow (- 1 y) 3)))) (* -1 (* x (pow (- 1 y) 2))))) (* x (- 1 y)))))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y))))
(* z (- (+ (/ 1 z) (/ 1 (- 1 y))) (/ (pow y 2) (- 1 y))))
(* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))))
(* z (+ (* x (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))) (/ x z)))
(* -1 (* x (* z (- 1 y))))
(* z (+ (* -1 (* x (- 1 y))) (/ x z)))
(* -1 (* (pow z 2) (pow (- 1 y) 2)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow (- 1 y) 2)))
(/ x (* z (- 1 y)))
(/ (+ (* -1 (/ x (* z (pow (- 1 y) 2)))) (/ x (- 1 y))) z)
(/ (- (+ (/ x (* (pow z 2) (pow (- 1 y) 3))) (/ x (- 1 y))) (/ x (* z (pow (- 1 y) 2)))) z)
(/ (- (+ (* -1 (/ x (* (pow z 3) (pow (- 1 y) 4)))) (/ x (- 1 y))) (+ (* -1 (/ x (* (pow z 2) (pow (- 1 y) 3)))) (/ x (* z (pow (- 1 y) 2))))) z)
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* -1 (* z (- 1 (/ 1 z))))
(/ (* z (- 1 (pow y 2))) (- 1 y))
(* -1 (* z (- (* -1 (/ (- 1 (pow y 2)) (- 1 y))) (/ 1 z))))
(/ (* x (* z (- 1 (pow y 2)))) (- 1 y))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 (pow y 2))) (- 1 y))))))
(* -1 (/ (+ (* -1 (/ x (- 1 y))) (/ x (* z (pow (- 1 y) 2)))) z))
(* -1 (/ (+ (* -1 (/ x (- 1 y))) (* -1 (/ (- (/ x (* z (pow (- 1 y) 3))) (/ x (pow (- 1 y) 2))) z))) z))
(* -1 (/ (+ (* -1 (/ x (- 1 y))) (* -1 (/ (- (* -1 (/ (- (/ x (* z (pow (- 1 y) 4))) (/ x (pow (- 1 y) 3))) z)) (/ x (pow (- 1 y) 2))) z))) z))
Calls

9 calls:

TimeVariablePointExpression
55.0ms
y
@-inf
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (* (+ -1 y) z) (+ -1 y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (- 1 (* y y)) (* y y) (* (- 1 (pow (* (- 1 y) z) 2)) (/ x (+ (* (- 1 y) z) 1))) (- 1 (pow (* (- 1 y) z) 2)) (pow (* (- 1 y) z) 2) (* (- 1 y) z) (/ z (- 1 y)) (/ x (+ (* (- 1 y) z) 1)))
7.0ms
y
@inf
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (* (+ -1 y) z) (+ -1 y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (- 1 (* y y)) (* y y) (* (- 1 (pow (* (- 1 y) z) 2)) (/ x (+ (* (- 1 y) z) 1))) (- 1 (pow (* (- 1 y) z) 2)) (pow (* (- 1 y) z) 2) (* (- 1 y) z) (/ z (- 1 y)) (/ x (+ (* (- 1 y) z) 1)))
6.0ms
x
@0
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (* (+ -1 y) z) (+ -1 y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (- 1 (* y y)) (* y y) (* (- 1 (pow (* (- 1 y) z) 2)) (/ x (+ (* (- 1 y) z) 1))) (- 1 (pow (* (- 1 y) z) 2)) (pow (* (- 1 y) z) 2) (* (- 1 y) z) (/ z (- 1 y)) (/ x (+ (* (- 1 y) z) 1)))
5.0ms
z
@-inf
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (* (+ -1 y) z) (+ -1 y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (- 1 (* y y)) (* y y) (* (- 1 (pow (* (- 1 y) z) 2)) (/ x (+ (* (- 1 y) z) 1))) (- 1 (pow (* (- 1 y) z) 2)) (pow (* (- 1 y) z) 2) (* (- 1 y) z) (/ z (- 1 y)) (/ x (+ (* (- 1 y) z) 1)))
4.0ms
z
@inf
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (* (+ -1 y) z) (+ -1 y) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (- 1 z) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* z y) (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (- 1 (* y y)) (* y y) (* (- 1 (pow (* (- 1 y) z) 2)) (/ x (+ (* (- 1 y) z) 1))) (- 1 (pow (* (- 1 y) z) 2)) (pow (* (- 1 y) z) 2) (* (- 1 y) z) (/ z (- 1 y)) (/ x (+ (* (- 1 y) z) 1)))

simplify250.0ms (2.4%)

Memory
12.9MiB live, 201.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04912223
116332113
260472060
083121958
Stop Event
1×iter limit
1×node limit
Counts
134 → 131
Calls
Call 1
Inputs
(* x (- 1 (* z (- 1 y))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (/ (* z (- 1 (pow y 2))) (- 1 y))))
(/ (* x (- 1 (* (pow z 2) (pow (- 1 y) 2)))) (+ 1 (* z (- 1 y))))
(/ x (+ 1 (* z (- 1 y))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* -1 z)
(+ (* -1 z) (* y z))
-1
(- y 1)
(- 1 z)
(- (+ 1 (* y z)) z)
(* y z)
(+ 1 z)
(+ 1 (+ z (* y z)))
(* x (+ 1 z))
(+ (* x (* y z)) (* x (+ 1 z)))
1
(+ 1 (* -1 (pow y 2)))
(pow y 2)
(/ (* x (- 1 (pow z 2))) (+ 1 z))
(+ (* y (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))
(+ (* y (- (+ (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* y (- (* -1 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (* -1 (/ (* x (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))
(+ (* y (- (+ (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* y (- (+ (* -1 (/ (* x (pow z 2)) (+ 1 z))) (/ (* y (* z (- (* -1 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (* -1 (/ (* x (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))
(- 1 (pow z 2))
(- (+ 1 (* 2 (* y (pow z 2)))) (pow z 2))
(- (+ 1 (* y (- (* -1 (* y (pow z 2))) (* -2 (pow z 2))))) (pow z 2))
(pow z 2)
(+ (* -2 (* y (pow z 2))) (pow z 2))
(+ (* y (+ (* -2 (pow z 2)) (* y (pow z 2)))) (pow z 2))
z
(+ z (* -1 (* y z)))
(+ z (* y z))
(+ z (* y (- (* y z) (* -1 z))))
(+ z (* y (- (* y (- (* y z) (* -1 z))) (* -1 z))))
(/ x (+ 1 z))
(+ (/ x (+ 1 z)) (/ (* x (* y z)) (pow (+ 1 z) 2)))
(+ (* y (- (/ (* x (* y (pow z 2))) (pow (+ 1 z) 3)) (* -1 (/ (* x z) (pow (+ 1 z) 2))))) (/ x (+ 1 z)))
(+ (* y (- (* y (- (/ (* x (* y (pow z 3))) (pow (+ 1 z) 4)) (* -1 (/ (* x (pow z 2)) (pow (+ 1 z) 3))))) (* -1 (/ (* x z) (pow (+ 1 z) 2))))) (/ x (+ 1 z)))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ z (* -1 (/ z y))))
y
(* y (- 1 (/ 1 y)))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (+ z (/ 1 y)) (* -1 (/ z y))))
(* y (+ (* x z) (/ (* x (- 1 (* -1 z))) y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(* y (- (+ (* -2 (/ (* x z) y)) (* x z)) (* -1 (/ (* x (+ 1 z)) y))))
(* y (- (+ (* -2 (/ (* x z) y)) (+ (* -1 (/ (* x (- 1 (pow z 2))) (* (pow y 2) z))) (* x z))) (+ (* -1 (/ (* x (+ 1 z)) y)) (* -1 (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) (* (pow y 2) z))))))
(* y (- (+ (* -2 (/ (* x z) y)) (+ (* -1 (/ (* x (- 1 (pow z 2))) (* (pow y 2) z))) (+ (* x z) (/ (* (+ 1 z) (- (* -1 (/ (* x (- 1 (pow z 2))) z)) (* -1 (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z)))) (* (pow y 3) z))))) (+ (* -1 (/ (* x (+ 1 z)) y)) (* -1 (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) (* (pow y 2) z))))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (* 2 (/ (pow z 2) y)) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (+ (* -2 (/ (pow z 2) y)) (+ (/ (pow z 2) (pow y 2)) (pow z 2)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -2 (/ (pow z 2) y)) (pow z 2)))
(* (pow y 2) (+ (* -2 (/ (pow z 2) y)) (+ (/ (pow z 2) (pow y 2)) (pow z 2))))
(* -1 (* y z))
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(/ (+ (* -1 z) (* -1 (/ z y))) y)
(/ (- (+ (* -1 z) (* -1 (/ z (pow y 2)))) (/ z y)) y)
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(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow (+ 1 z) 2)) (* (pow y 2) (pow z 3))))) (/ (* x (+ 1 z)) (* y (pow z 2)))) y)
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow (+ 1 z) 3)) (* (pow y 3) (pow z 4))))) (+ (/ (* x (+ 1 z)) (* y (pow z 2))) (/ (* x (pow (+ 1 z) 2)) (* (pow y 2) (pow z 3))))) y)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
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(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow z 2)) y)) (* 2 (pow z 2))) y)) (pow z 2)))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (+ 1 z) 3)) (* y (pow z 4))) (* -1 (/ (* x (pow (+ 1 z) 2)) (pow z 3)))) y)) (/ (* x (+ 1 z)) (pow z 2))) y)) (/ x z)) y))
x
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(+ 1 (* z (- y 1)))
(+ 1 (* -1 z))
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(+ x (* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y))))))
(+ x (* -1 (* x (* z (- 1 y)))))
(+ 1 (* -1 (* (pow z 2) (pow (- 1 y) 2))))
(* (pow z 2) (pow (- 1 y) 2))
(* z (- 1 y))
(/ z (- 1 y))
(+ x (* z (- (* x (* z (pow (- 1 y) 2))) (* x (- 1 y)))))
(+ x (* z (- (* z (- (* -1 (* x (* z (pow (- 1 y) 3)))) (* -1 (* x (pow (- 1 y) 2))))) (* x (- 1 y)))))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
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(* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y))))
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(* z (+ (* -1 (* x (- 1 y))) (/ x z)))
(* -1 (* (pow z 2) (pow (- 1 y) 2)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow (- 1 y) 2)))
(/ x (* z (- 1 y)))
(/ (+ (* -1 (/ x (* z (pow (- 1 y) 2)))) (/ x (- 1 y))) z)
(/ (- (+ (/ x (* (pow z 2) (pow (- 1 y) 3))) (/ x (- 1 y))) (/ x (* z (pow (- 1 y) 2)))) z)
(/ (- (+ (* -1 (/ x (* (pow z 3) (pow (- 1 y) 4)))) (/ x (- 1 y))) (+ (* -1 (/ x (* (pow z 2) (pow (- 1 y) 3)))) (/ x (* z (pow (- 1 y) 2))))) z)
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(* -1 (/ (+ (* -1 (/ x (- 1 y))) (/ x (* z (pow (- 1 y) 2)))) z))
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Outputs
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(* -1 (* (pow y 2) (pow z 2)))
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(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 z x x) y) z) x) z) (neg.f64 y))
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow (+ 1 z) 2)) (* (pow y 2) (pow z 3))))) (/ (* x (+ 1 z)) (* y (pow z 2)))) y)
(/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 x (pow.f64 z #s(literal 3 binary64))) (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 z x x) y) z) x) z))) y)
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow (+ 1 z) 3)) (* (pow y 3) (pow z 4))))) (+ (/ (* x (+ 1 z)) (* y (pow z 2))) (/ (* x (pow (+ 1 z) 2)) (* (pow y 2) (pow z 3))))) y)
(/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) #s(literal 3 binary64)) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (/.f64 x z))) (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) y) (/.f64 x y)) z) (/.f64 (fma.f64 z x x) y)) (*.f64 z z))) y)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)) y)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(*.f64 (*.f64 #s(literal 1 binary64) y) (fma.f64 z x (/.f64 (-.f64 x (*.f64 z x)) y)))
(* -1 (* y (+ (* -1 z) (/ z y))))
(*.f64 (-.f64 z (/.f64 z y)) y)
(* -1 (* y (- (/ 1 y) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 y)) z))
(* -1 (* y (+ (* -1 z) (* -1 (/ (- 1 (* -1 z)) y)))))
(*.f64 (+.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) z) y)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 (* -1 z))) y)))))
(*.f64 (*.f64 x (+.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) z)) y)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (* -2 (* x z)) (* -1 (* x (+ 1 z)))) y)))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z x (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z x) (fma.f64 z x x)) y))) y)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (/ (* x (- 1 (pow z 2))) z) (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z)) y))) (* -1 (* x (+ 1 z)))) y)))))
(fma.f64 (/.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) x (fma.f64 (*.f64 #s(literal -2 binary64) z) x (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z x) (fma.f64 z x x)) (+.f64 z #s(literal 1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) z) y))) y) y (*.f64 (*.f64 y x) z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (+ (/ (* x (- 1 (pow z 2))) z) (/ (* (+ 1 z) (- (/ (* x (- 1 (pow z 2))) z) (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z))) (* y z))) (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z)) y))) (* -1 (* x (+ 1 z)))) y)))))
(fma.f64 (/.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) x (fma.f64 (*.f64 #s(literal -2 binary64) z) x (/.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 z)) (fma.f64 #s(literal -2 binary64) (*.f64 z x) (fma.f64 z x x)))) z) (*.f64 z y)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z x) (fma.f64 z x x)) z)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) z)) (neg.f64 y)))) y) y (*.f64 (*.f64 y x) z))
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow z 2)) y)) (* 2 (pow z 2))) y)) (pow z 2)))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) z) z (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 y))) (neg.f64 y)) (*.f64 z z)) (*.f64 y y))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* 2 (pow z 2))) y)) (pow z 2)))
(*.f64 (fma.f64 z z (/.f64 (fma.f64 z (/.f64 z y) (*.f64 #s(literal -2 binary64) (*.f64 z z))) y)) (*.f64 y y))
(* -1 (* y (+ z (* -1 (/ z y)))))
(*.f64 (-.f64 (/.f64 z y) z) y)
(* -1 (/ (+ z (/ z y)) y))
(/.f64 (-.f64 (/.f64 (neg.f64 z) y) z) y)
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ z y)) z) y))) y))
(/.f64 (-.f64 z (/.f64 (-.f64 (/.f64 (neg.f64 z) y) z) y)) (neg.f64 y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ z y) (* -1 z)) y)) z) y))) y))
(/.f64 (-.f64 z (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 z) y) z) y) z) y)) (neg.f64 y))
(* -1 (/ (+ (/ x z) (/ (* x (+ 1 z)) (* y (pow z 2)))) y))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 z x x) y) z) x) z) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow (+ 1 z) 2)) (* y (pow z 3)))) (/ (* x (+ 1 z)) (pow z 2))) y)) (/ x z)) y))
(/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) (/.f64 (neg.f64 (fma.f64 z x x)) (*.f64 z z))) y) #s(literal -1 binary64) (/.f64 x z)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (+ 1 z) 3)) (* y (pow z 4))) (* -1 (/ (* x (pow (+ 1 z) 2)) (pow z 3)))) y)) (/ (* x (+ 1 z)) (pow z 2))) y)) (/ x z)) y))
(/.f64 (-.f64 (/.f64 x (neg.f64 z)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) y) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (pow.f64 z #s(literal 3 binary64))))) (neg.f64 y)) (/.f64 (/.f64 (fma.f64 z x x) z) z)) (neg.f64 y))) y)
x
(+ x (* x (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* z (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(+ 1 (* z (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(+ x (* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y))))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) (*.f64 z x) x)
(+ x (* -1 (* x (* z (- 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))) x)
(+ 1 (* -1 (* (pow z 2) (pow (- 1 y) 2))))
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 1 binary64))
(* (pow z 2) (pow (- 1 y) 2))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) z) z)
(* z (- 1 y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(/ z (- 1 y))
(/.f64 z (-.f64 #s(literal 1 binary64) y))
(+ x (* z (- (* x (* z (pow (- 1 y) 2))) (* x (- 1 y)))))
(fma.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) z) (-.f64 #s(literal 1 binary64) y)) x) z x)
(+ x (* z (- (* z (- (* -1 (* x (* z (pow (- 1 y) 3)))) (* -1 (* x (pow (- 1 y) 2))))) (* x (- 1 y)))))
(fma.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) z) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) z)) z x)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (/.f64 x z)) z)
(* z (- (+ y (/ 1 z)) 1))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) z)
(* z (- (/ 1 z) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)
(* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)))
(* z (- (+ (/ 1 z) (/ 1 (- 1 y))) (/ (pow y 2) (- 1 y))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) (*.f64 z x))
(* z (+ (* x (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))) (/ x z)))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) x (/.f64 x z)) z)
(* -1 (* x (* z (- 1 y))))
(*.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) z) x)
(* z (+ (* -1 (* x (- 1 y))) (/ x z)))
(*.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) z)
(* -1 (* (pow z 2) (pow (- 1 y) 2)))
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow (- 1 y) 2)))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (*.f64 z z))
(/ x (* z (- 1 y)))
(/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (+ (* -1 (/ x (* z (pow (- 1 y) 2)))) (/ x (- 1 y))) z)
(/.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) z)) #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) z)
(/ (- (+ (/ x (* (pow z 2) (pow (- 1 y) 3))) (/ x (- 1 y))) (/ x (* z (pow (- 1 y) 2)))) z)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) z)) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) z) (/.f64 x (-.f64 #s(literal 1 binary64) y))) z)
(/ (- (+ (* -1 (/ x (* (pow z 3) (pow (- 1 y) 4)))) (/ x (- 1 y))) (+ (* -1 (/ x (* (pow z 2) (pow (- 1 y) 3)))) (/ x (* z (pow (- 1 y) 2))))) z)
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (fma.f64 (/.f64 x (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) z) z)) #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) z)))) z)
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(*.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) z)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (/.f64 x z)) z)
(* -1 (* z (- 1 y)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) z)
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(* -1 (* z (- 1 (/ 1 z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))
(/ (* z (- 1 (pow y 2))) (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)))
(* -1 (* z (- (* -1 (/ (- 1 (pow y 2)) (- 1 y))) (/ 1 z))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))
(/ (* x (* z (- 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) (*.f64 z x))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 (pow y 2))) (- 1 y))))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) x (/.f64 x z)) z)
(* -1 (/ (+ (* -1 (/ x (- 1 y))) (/ x (* z (pow (- 1 y) 2)))) z))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) z)) (-.f64 #s(literal 1 binary64) y)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ x (- 1 y))) (* -1 (/ (- (/ x (* z (pow (- 1 y) 3))) (/ x (pow (- 1 y) 2))) z))) z))
(/.f64 (-.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) z)) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ x (- 1 y))) (* -1 (/ (- (* -1 (/ (- (/ x (* z (pow (- 1 y) 4))) (/ x (pow (- 1 y) 3))) z)) (/ x (pow (- 1 y) 2))) z))) z))
(/.f64 (-.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) z)) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) z)) (neg.f64 z))

rewrite331.0ms (3.2%)

Memory
-26.1MiB live, 165.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032174
053164
1198164
21421151
08911147
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 675
Calls
Call 1
Inputs
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x))
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)
(*.f64 (+.f64 #s(literal -1 binary64) y) z)
(+.f64 #s(literal -1 binary64) y)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
#s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))
(*.f64 z y)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(/.f64 z (-.f64 #s(literal 1 binary64) y))
(/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) (/.f64 x (expm1.f64 (+.f64 (log1p.f64 y) (log.f64 z))))) (expm1.f64 (+.f64 (log1p.f64 y) (log.f64 z))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))) (+.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))))
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) x)
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(*.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) y)) z) x)) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) y)) z) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) y)) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) y)) z) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) y)) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) y)) z) x))))
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)))
(*.f64 z (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) y)))) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 z (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 z (-.f64 #s(literal 1 binary64) y))))) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 z (-.f64 #s(literal 1 binary64) y)))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
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(*.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
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(/.f64 (neg.f64 z) (-.f64 #s(literal -1 binary64) y))
(/.f64 z (-.f64 #s(literal 1 binary64) y))
(neg.f64 (/.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 z (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (expm1.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 z)) #s(literal 2 binary64)))) (expm1.f64 (+.f64 (log1p.f64 y) (log.f64 z))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))) (+.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal -1 binary64)))
(/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(neg.f64 (/.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) y) z #s(literal -1 binary64))))

eval226.0ms (2.2%)

Memory
-12.3MiB live, 134.5MiB allocated
Compiler

Compiled 21 991 to 3 068 computations (86% saved)

prune17.0ms (0.2%)

Memory
37.5MiB live, 37.5MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New6977704
Fresh224
Picked235
Done000
Total70112713
Accuracy
100.0%
Counts
713 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.5%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (- 1 y) z) 2) (fma.f64 (*.f64 (+.f64 #s(literal -2 binary64) y) (*.f64 z z)) y (*.f64 z z)))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
53.7%
(*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(approx (/ z (- 1 y)) (/.f64 (neg.f64 z) y)) #s(literal 1 binary64)))
✓66.2%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
▶55.4%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
✓34.7%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
▶48.1%
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z) x x))
✓95.9%
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x))
40.3%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
▶38.4%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
▶95.8%
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))
66.2%
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (-.f64 x (*.f64 z x))))
▶46.1%
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
Compiler

Compiled 422 to 294 computations (30.3% saved)

simplify225.0ms (2.2%)

Memory
-36.9MiB live, 116.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z)
cost-diff0
(fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z) x x)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z) x x))
cost-diff3
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
cost-diff0
(+.f64 #s(literal -1 binary64) y)
cost-diff0
(*.f64 (+.f64 #s(literal -1 binary64) y) z)
cost-diff0
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))
cost-diff0
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) z)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
cost-diff0
(fma.f64 z x x)
cost-diff0
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
cost-diff0
(fma.f64 y x (neg.f64 x))
cost-diff0
(fma.f64 z (fma.f64 y x (neg.f64 x)) x)
cost-diff0
#s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x))
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038208
055193
1118193
2299191
31046191
43873191
08103187
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))
#s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x))
(fma.f64 z (fma.f64 y x (neg.f64 x)) x)
z
(fma.f64 y x (neg.f64 x))
y
x
(neg.f64 x)
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
(fma.f64 z x x)
z
x
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
(*.f64 (*.f64 y x) z)
(*.f64 y x)
y
x
z
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
x
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) z)
(+.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
z
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z) x x))
(fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z) x x)
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
(sqrt.f64 y)
y
#s(literal -1 binary64)
z
x
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)))
#s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x))
(fma.f64 z (fma.f64 y x (neg.f64 x)) x)
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
z
(fma.f64 y x (neg.f64 x))
y
x
(neg.f64 x)
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
(fma.f64 z x x)
z
x
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
(*.f64 (*.f64 y x) z)
(*.f64 y x)
y
x
z
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) x)
x
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) z)
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(+.f64 #s(literal -1 binary64) y)
(-.f64 y #s(literal 1 binary64))
#s(literal -1 binary64)
y
z
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z) x x))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z) x x)
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z)
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
(-.f64 y #s(literal 1 binary64))
(sqrt.f64 y)
y
#s(literal -1 binary64)
z
x

localize115.0ms (1.1%)

Memory
1.0MiB live, 137.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z) x x))
accuracy0.00390625
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z)
accuracy0.14453125
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
accuracy1.4406890533818344
(fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z) x x)
accuracy0.0
(+.f64 #s(literal -1 binary64) y)
accuracy0.00390625
(*.f64 (+.f64 #s(literal -1 binary64) y) z)
accuracy1.4445953033818344
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
accuracy12.643198946038353
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))
accuracy0.0
(*.f64 y x)
accuracy2.427748090445746
(*.f64 (*.f64 y x) z)
accuracy18.818332470817
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
accuracy0.0
(fma.f64 z x x)
accuracy9.836107395925023
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
accuracy0.0
(neg.f64 x)
accuracy0.0
#s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x))
accuracy0.0
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))
accuracy1.7047978833273085
(fma.f64 z (fma.f64 y x (neg.f64 x)) x)
Samples
29.0ms127×0invalid
28.0ms129×0valid
Compiler

Compiled 155 to 35 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 22.0ms (55% of total)
ival-add: 9.0ms (22.5% of total)
ival-sub: 4.0ms (10% of total)
ival-div: 2.0ms (5% of total)
ival-sqrt: 2.0ms (5% of total)
ival-neg: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series48.0ms (0.5%)

Memory
-2.1MiB live, 50.4MiB allocated
Counts
18 → 72
Calls
Call 1
Inputs
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))
#s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x))
(fma.f64 z (fma.f64 y x (neg.f64 x)) x)
(fma.f64 y x (neg.f64 x))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
(fma.f64 z x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
(*.f64 (*.f64 y x) z)
(*.f64 y x)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) z)
(+.f64 #s(literal -1 binary64) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z) x x))
(fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z) x x)
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z)
(neg.f64 x)
Outputs
(* x (- 1 (* z (- 1 y))))
(* x (+ 1 (* z (- y 1))))
(* x (- y 1))
(* x (+ 1 (/ (* z (- 1 (pow y 2))) (- 1 y))))
(* x (+ 1 z))
(* x (* y z))
(* x y)
(* -1 x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* z (+ 1 (* -1 y))) 1)))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (- (* -1 z) 1)))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(- (* x y) x)
(+ (* x (* y z)) (* x (+ 1 z)))
(- 1 z)
(- (+ 1 (* y z)) z)
(* -1 z)
(+ (* -1 z) (* y z))
-1
(- y 1)
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ (* x z) (/ (* x (- 1 (* -1 z))) y)))
(* y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (+ z (* -1 (/ z y))))
y
(* y (- 1 (/ 1 y)))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 (* -1 z))) y)))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (/ 1 y) (pow (sqrt -1) 2))))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (* x z))) y)) (* x (* z (pow (sqrt -1) 2))))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* y (+ (* z (pow (sqrt -1) 2)) (/ z y))))
x
(+ x (* x (* z (- y 1))))
(+ x (* z (- (* x y) x)))
(+ x (* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y))))))
(+ x (* x z))
1
(+ 1 (* z (- y 1)))
(* z (- y 1))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- (* x y) x))
(* z (- (+ (* x y) (/ x z)) x))
(* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))))
(* z (+ (* x (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))) (/ x z)))
(* x z)
(* z (+ x (/ x z)))
(* z (- (+ y (/ 1 z)) 1))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (- (* x y) x)) (* -1 (/ x z)))))
(/ (* x (* z (- 1 (pow y 2)))) (- 1 y))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 (pow y 2))) (- 1 y))))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
y
@-inf
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (+ (* z (+ (* y x) (neg x))) x) (+ (* y x) (neg x)) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (+ (* z x) x) (* x (- 1 (* (- 1 y) z))) (* (* y x) z) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (+ -1 y) (+ (* (sqrt y) (sqrt y)) -1) (* x (- 1 (* (- 1 y) z))) (+ (* (* (+ (* (sqrt y) (sqrt y)) -1) z) x) x) (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg x))
4.0ms
x
@-inf
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (+ (* z (+ (* y x) (neg x))) x) (+ (* y x) (neg x)) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (+ (* z x) x) (* x (- 1 (* (- 1 y) z))) (* (* y x) z) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (+ -1 y) (+ (* (sqrt y) (sqrt y)) -1) (* x (- 1 (* (- 1 y) z))) (+ (* (* (+ (* (sqrt y) (sqrt y)) -1) z) x) x) (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg x))
3.0ms
x
@0
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (+ (* z (+ (* y x) (neg x))) x) (+ (* y x) (neg x)) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (+ (* z x) x) (* x (- 1 (* (- 1 y) z))) (* (* y x) z) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (+ -1 y) (+ (* (sqrt y) (sqrt y)) -1) (* x (- 1 (* (- 1 y) z))) (+ (* (* (+ (* (sqrt y) (sqrt y)) -1) z) x) x) (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg x))
3.0ms
z
@-inf
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (+ (* z (+ (* y x) (neg x))) x) (+ (* y x) (neg x)) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (+ (* z x) x) (* x (- 1 (* (- 1 y) z))) (* (* y x) z) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (+ -1 y) (+ (* (sqrt y) (sqrt y)) -1) (* x (- 1 (* (- 1 y) z))) (+ (* (* (+ (* (sqrt y) (sqrt y)) -1) z) x) x) (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg x))
3.0ms
x
@inf
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ -1 y) z) x) x) (+ (* z (+ (* y x) (neg x))) x) (+ (* y x) (neg x)) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (+ (* z x) x) (* x (- 1 (* (- 1 y) z))) (* (* y x) z) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (+ -1 y) (+ (* (sqrt y) (sqrt y)) -1) (* x (- 1 (* (- 1 y) z))) (+ (* (* (+ (* (sqrt y) (sqrt y)) -1) z) x) x) (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg x))

simplify182.0ms (1.7%)

Memory
17.5MiB live, 204.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0184498
1642486
22102484
35955484
08113442
Stop Event
1×iter limit
1×node limit
Counts
72 → 70
Calls
Call 1
Inputs
(* x (- 1 (* z (- 1 y))))
(* x (+ 1 (* z (- y 1))))
(* x (- y 1))
(* x (+ 1 (/ (* z (- 1 (pow y 2))) (- 1 y))))
(* x (+ 1 z))
(* x (* y z))
(* x y)
(* -1 x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* z (+ 1 (* -1 y))) 1)))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (- (* -1 z) 1)))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(- (* x y) x)
(+ (* x (* y z)) (* x (+ 1 z)))
(- 1 z)
(- (+ 1 (* y z)) z)
(* -1 z)
(+ (* -1 z) (* y z))
-1
(- y 1)
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ (* x z) (/ (* x (- 1 (* -1 z))) y)))
(* y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (+ z (* -1 (/ z y))))
y
(* y (- 1 (/ 1 y)))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 (* -1 z))) y)))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (/ 1 y) (pow (sqrt -1) 2))))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (* x z))) y)) (* x (* z (pow (sqrt -1) 2))))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* y (+ (* z (pow (sqrt -1) 2)) (/ z y))))
x
(+ x (* x (* z (- y 1))))
(+ x (* z (- (* x y) x)))
(+ x (* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y))))))
(+ x (* x z))
1
(+ 1 (* z (- y 1)))
(* z (- y 1))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- (* x y) x))
(* z (- (+ (* x y) (/ x z)) x))
(* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))))
(* z (+ (* x (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))) (/ x z)))
(* x z)
(* z (+ x (/ x z)))
(* z (- (+ y (/ 1 z)) 1))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (- (* x y) x)) (* -1 (/ x z)))))
(/ (* x (* z (- 1 (pow y 2)))) (- 1 y))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 (pow y 2))) (- 1 y))))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
Outputs
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (+ 1 (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (+ 1 (/ (* z (- 1 (pow y 2))) (- 1 y))))
(fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64))) z x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* x y)
(*.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* x (- (* z (+ 1 (* -1 y))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 z) 1)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 z) #s(literal 1 binary64)))
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x (* y z)) (* x (- 1 z)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(- (* x y) x)
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(+ (* x (* y z)) (* x (+ 1 z)))
(fma.f64 (fma.f64 z y z) x x)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 (* y z)) z)
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* y z))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* y (+ x (* -1 (/ x y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* y (+ (* x z) (/ (* x (- 1 (* -1 z))) y)))
(fma.f64 (fma.f64 z y z) x x)
(* y z)
(*.f64 z y)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y)
(* y (+ z (* -1 (/ z y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
y
(* y (- 1 (/ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 (* -1 z))) y)))))
(fma.f64 (fma.f64 z y z) x x)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z) y)
(* -1 (* y (+ (* -1 z) (/ z y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))
(* -1 (* y (pow (sqrt -1) 2)))
y
(* -1 (* y (+ (/ 1 y) (pow (sqrt -1) 2))))
(-.f64 y #s(literal 1 binary64))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(*.f64 (*.f64 z y) x)
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (* x z))) y)) (* x (* z (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* y (* z (pow (sqrt -1) 2))))
(*.f64 z y)
(* -1 (* y (+ (* z (pow (sqrt -1) 2)) (/ z y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
x
(+ x (* x (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(+ x (* z (- (* x y) x)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(+ x (* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y))))))
(fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64))) z x)
(+ x (* x z))
(fma.f64 z x x)
1
#s(literal 1 binary64)
(+ 1 (* z (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* z (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* z (- (* x y) x))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(* z (- (+ (* x y) (/ x z)) x))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64))) z)
(* z (+ (* x (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))) (/ x z)))
(fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64))) z x)
(* x z)
(*.f64 z x)
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* z (- (+ y (/ 1 z)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* -1 (* x (* z (- 1 y))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* z (+ (* -1 (- (* x y) x)) (* -1 (/ x z)))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(/ (* x (* z (- 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64))) z)
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 (pow y 2))) (- 1 y))))))
(fma.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64))) z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* -1 (* z (- 1 y)))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))

rewrite189.0ms (1.8%)

Memory
5.8MiB live, 245.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038190
055176
1242176
21723167
08984164
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 406
Calls
Call 1
Inputs
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))
#s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x))
(fma.f64 z (fma.f64 y x (neg.f64 x)) x)
(fma.f64 y x (neg.f64 x))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
(fma.f64 z x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
(*.f64 (*.f64 y x) z)
(*.f64 y x)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))
(*.f64 (+.f64 #s(literal -1 binary64) y) z)
(+.f64 #s(literal -1 binary64) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z) x x))
(fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z) x x)
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z)
(neg.f64 x)
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (fma.f64 y x (neg.f64 x)) z x)))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (fma.f64 y x (neg.f64 x)) z x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)) (/.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (fma.f64 y x (neg.f64 x))) z) (*.f64 (neg.f64 (fma.f64 y x (neg.f64 x))) z))) (+.f64 x (*.f64 (neg.f64 (fma.f64 y x (neg.f64 x))) z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 z) (fma.f64 y x (neg.f64 x))) (*.f64 (neg.f64 z) (fma.f64 y x (neg.f64 x))))) (+.f64 x (*.f64 (neg.f64 z) (fma.f64 y x (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 (*.f64 y x) z)) (+.f64 x (*.f64 (*.f64 y x) z))) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (-.f64 (+.f64 x (*.f64 (*.f64 y x) z)) (*.f64 (neg.f64 x) z)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x) z x) (fma.f64 (neg.f64 x) z x))) (-.f64 (*.f64 (*.f64 y x) z) (fma.f64 (neg.f64 x) z x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)) (/.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 y x (neg.f64 x))) z) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (fma.f64 y x (neg.f64 x))) z) (*.f64 (neg.f64 (fma.f64 y x (neg.f64 x))) z) (*.f64 x (*.f64 (neg.f64 (fma.f64 y x (neg.f64 x))) z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (fma.f64 y x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 z) (fma.f64 y x (neg.f64 x))) (*.f64 (neg.f64 z) (fma.f64 y x (neg.f64 x))) (*.f64 x (*.f64 (neg.f64 z) (fma.f64 y x (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 (+.f64 x (*.f64 (*.f64 y x) z)) (+.f64 x (*.f64 (*.f64 y x) z)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 (*.f64 y x) z)) (*.f64 (neg.f64 x) z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x) z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 y x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 x) z x) (fma.f64 (neg.f64 x) z x)) (*.f64 (*.f64 (*.f64 y x) z) (fma.f64 (neg.f64 x) z x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)) (*.f64 (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y x (neg.f64 x)) z)) (pow.f64 (*.f64 (fma.f64 y x (neg.f64 x)) z) #s(literal 2 binary64))))
(fma.f64 (*.f64 y z) x (fma.f64 (neg.f64 x) z x))
(fma.f64 (*.f64 z y) x (fma.f64 (neg.f64 x) z x))
(fma.f64 (*.f64 z x) y (fma.f64 (neg.f64 x) z x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 z x)) (fma.f64 (neg.f64 x) z x))
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(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 z x) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 z x) x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z)) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z)) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z)) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z)) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z) x)))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z) x)
(+.f64 x (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) z))
(*.f64 (*.f64 z (+.f64 (sqrt.f64 y) #s(literal 1 binary64))) (-.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 y) #s(literal 1 binary64)) z))
(*.f64 (-.f64 #s(literal -1 binary64) y) z)
(*.f64 z (-.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) z)) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y z)))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) z))) (-.f64 (*.f64 y z) (*.f64 #s(literal -1 binary64) z)))
(/.f64 (-.f64 (*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 z y) (*.f64 z y))) (-.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z y)))
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64)))) (-.f64 (*.f64 z y) (*.f64 z #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) z) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) z)) (*.f64 (*.f64 y z) (*.f64 #s(literal -1 binary64) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (*.f64 z y) (-.f64 (*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 z y) (*.f64 z #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) z)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) z)) (neg.f64 (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 z (-.f64 (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) z) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) z) (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 z (-.f64 (*.f64 y y) #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) z)) (neg.f64 (-.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) z) (-.f64 #s(literal -1 binary64) y))
(neg.f64 (*.f64 z (-.f64 y #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) z (*.f64 y z))
(fma.f64 z #s(literal -1 binary64) (*.f64 z y))
(fma.f64 z y (*.f64 z #s(literal -1 binary64)))
(fma.f64 y z (*.f64 #s(literal -1 binary64) z))
(+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 #s(literal -1 binary64) z))
(+.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z y))
(+.f64 (*.f64 z y) (*.f64 z #s(literal -1 binary64)))
(neg.f64 x)

eval42.0ms (0.4%)

Memory
5.9MiB live, 95.3MiB allocated
Compiler

Compiled 13 095 to 1 550 computations (88.2% saved)

prune49.0ms (0.5%)

Memory
-24.6MiB live, 81.5MiB allocated
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New3305335
Fresh044
Picked145
Done123
Total33215347
Accuracy
100.0%
Counts
347 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.5%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (- 1 y) z) 2) (fma.f64 (*.f64 (+.f64 #s(literal -2 binary64) y) (*.f64 z z)) y (*.f64 z z)))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
53.7%
(*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(approx (/ z (- 1 y)) (/.f64 (neg.f64 z) y)) #s(literal 1 binary64)))
✓66.2%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
✓55.4%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
✓34.7%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
▶26.7%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
42.4%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
▶74.6%
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
▶20.9%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) z))
▶40.3%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
✓38.4%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
✓95.8%
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))
66.2%
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (-.f64 x (*.f64 z x))))
✓46.1%
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
▶7.5%
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
Compiler

Compiled 478 to 337 computations (29.5% saved)

simplify199.0ms (1.9%)

Memory
14.6MiB live, 157.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (sqrt.f64 y))
cost-diff0
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) z)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) z))
cost-diff4
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
cost-diff0
(*.f64 z x)
cost-diff0
(*.f64 (*.f64 z x) y)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (* (+ -1 y) z) (neg.f64 z))
cost-diff0
#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))
cost-diff0
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
cost-diff0
(*.f64 z x)
cost-diff0
#s(approx (+ (* z x) x) (*.f64 z x))
cost-diff0
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
cost-diff0
#s(approx (+ (* (sqrt y) (sqrt y)) -1) y)
cost-diff0
(*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z)
cost-diff0
(fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040216
051188
1103188
2271188
3766188
42386188
56758188
08009179
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
(fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)
(*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z)
#s(approx (+ (* (sqrt y) (sqrt y)) -1) y)
y
z
x
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
#s(approx (+ (* z x) x) (*.f64 z x))
(*.f64 z x)
z
x
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
x
#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))
#s(approx (* (+ -1 y) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
(*.f64 (*.f64 z x) y)
(*.f64 z x)
z
x
y
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) z))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) z)
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x (sqrt.f64 y))
x
(sqrt.f64 y)
y
z
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
(fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)
(*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z)
#s(approx (+ (* (sqrt y) (sqrt y)) -1) y)
y
z
x
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
#s(approx (+ (* z x) x) (*.f64 z x))
(*.f64 z x)
z
x
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))) x)
x
#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))
#s(approx (* (+ -1 y) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
(*.f64 (*.f64 z x) y)
(*.f64 (*.f64 y x) z)
(*.f64 z x)
z
x
y
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) z)
(*.f64 (*.f64 y x) z)
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 y x)
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
x
(sqrt.f64 y)
y
z

localize137.0ms (1.3%)

Memory
10.8MiB live, 103.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(*.f64 x (sqrt.f64 y))
accuracy0.15625
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
accuracy2.427748090445746
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) z)
accuracy18.818332470817
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) z))
accuracy0.0
(*.f64 z x)
accuracy3.141396485981127
(*.f64 (*.f64 z x) y)
accuracy18.818332470817
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
accuracy0.0
(neg.f64 z)
accuracy1.4445953033818344
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
accuracy12.643198946038353
#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))
accuracy17.92451398273241
#s(approx (* (+ -1 y) z) (neg.f64 z))
accuracy0.0
(*.f64 z x)
accuracy9.836107395925023
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
accuracy15.310400409059756
#s(approx (+ (* z x) x) (*.f64 z x))
accuracy0.0
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
accuracy0.00390625
(*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z)
accuracy1.4406890533818344
(fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)
accuracy14.246895157424985
#s(approx (+ (* (sqrt y) (sqrt y)) -1) y)
Samples
60.0ms127×0invalid
25.0ms129×0valid
Compiler

Compiled 147 to 32 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-sqrt: 37.0ms (53.5% of total)
ival-mult: 19.0ms (27.5% of total)
ival-add: 5.0ms (7.2% of total)
ival-sub: 4.0ms (5.8% of total)
ival-div: 2.0ms (2.9% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series65.0ms (0.6%)

Memory
-12.0MiB live, 34.3MiB allocated
Counts
17 → 62
Calls
Call 1
Inputs
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
(fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)
(*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z)
#s(approx (+ (* (sqrt y) (sqrt y)) -1) y)
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
#s(approx (+ (* z x) x) (*.f64 z x))
(*.f64 z x)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))
#s(approx (* (+ -1 y) z) (neg.f64 z))
(neg.f64 z)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
(*.f64 (*.f64 z x) y)
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) z))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) z)
(*.f64 x (sqrt.f64 y))
Outputs
(* x (- 1 (* z (- 1 y))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (/ (* z (- 1 (pow y 2))) (- 1 y))))
(* x (+ 1 z))
(* x z)
(* x (* y z))
(* x y)
(* x (sqrt y))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 z) 1)))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* -1 z)
(+ (* -1 z) (* y z))
-1
(- y 1)
(+ (* x (* y z)) (* x (+ 1 z)))
(- 1 z)
(- (+ 1 (* y z)) z)
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y z)
(* y (+ z (* -1 (/ z y))))
y
(* y (- 1 (/ 1 y)))
(* y (+ (* x z) (/ (* x (- 1 (* -1 z))) y)))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (* x z))) y)) (* x (* z (pow (sqrt -1) 2))))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* y (+ (* z (pow (sqrt -1) 2)) (/ z y))))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (/ 1 y) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 (* -1 z))) y)))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
x
(+ x (* x (* z (- y 1))))
(* z (- y 1))
(+ x (* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y))))))
(+ x (* x z))
1
(+ 1 (* z (- y 1)))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))))
(* z (+ (* x (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))) (/ x z)))
(* z (+ x (/ x z)))
(* z (- (+ y (/ 1 z)) 1))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(/ (* x (* z (- 1 (pow y 2)))) (- 1 y))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 (pow y 2))) (- 1 y))))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
Calls

9 calls:

TimeVariablePointExpression
45.0ms
y
@0
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ (* (sqrt y) (sqrt y)) -1) z) x) x) (* (+ (* (sqrt y) (sqrt y)) -1) z) (+ (* (sqrt y) (sqrt y)) -1) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (+ (* z x) x) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (neg z) (* x (- 1 (* (- 1 y) z))) (* (* z x) y) (* (* x (sqrt y)) (sqrt y)) (* x (- 1 (* (- 1 y) z))) (* (* (* x (sqrt y)) (sqrt y)) z) (* x (sqrt y)))
4.0ms
y
@-inf
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ (* (sqrt y) (sqrt y)) -1) z) x) x) (* (+ (* (sqrt y) (sqrt y)) -1) z) (+ (* (sqrt y) (sqrt y)) -1) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (+ (* z x) x) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (neg z) (* x (- 1 (* (- 1 y) z))) (* (* z x) y) (* (* x (sqrt y)) (sqrt y)) (* x (- 1 (* (- 1 y) z))) (* (* (* x (sqrt y)) (sqrt y)) z) (* x (sqrt y)))
3.0ms
x
@-inf
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ (* (sqrt y) (sqrt y)) -1) z) x) x) (* (+ (* (sqrt y) (sqrt y)) -1) z) (+ (* (sqrt y) (sqrt y)) -1) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (+ (* z x) x) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (neg z) (* x (- 1 (* (- 1 y) z))) (* (* z x) y) (* (* x (sqrt y)) (sqrt y)) (* x (- 1 (* (- 1 y) z))) (* (* (* x (sqrt y)) (sqrt y)) z) (* x (sqrt y)))
3.0ms
x
@0
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ (* (sqrt y) (sqrt y)) -1) z) x) x) (* (+ (* (sqrt y) (sqrt y)) -1) z) (+ (* (sqrt y) (sqrt y)) -1) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (+ (* z x) x) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (neg z) (* x (- 1 (* (- 1 y) z))) (* (* z x) y) (* (* x (sqrt y)) (sqrt y)) (* x (- 1 (* (- 1 y) z))) (* (* (* x (sqrt y)) (sqrt y)) z) (* x (sqrt y)))
2.0ms
x
@inf
((* x (- 1 (* (- 1 y) z))) (+ (* (* (+ (* (sqrt y) (sqrt y)) -1) z) x) x) (* (+ (* (sqrt y) (sqrt y)) -1) z) (+ (* (sqrt y) (sqrt y)) -1) (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (+ (* z x) x) (* z x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (+ -1 y) z) (neg z) (* x (- 1 (* (- 1 y) z))) (* (* z x) y) (* (* x (sqrt y)) (sqrt y)) (* x (- 1 (* (- 1 y) z))) (* (* (* x (sqrt y)) (sqrt y)) z) (* x (sqrt y)))

simplify167.0ms (1.6%)

Memory
18.0MiB live, 115.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161415
1547407
21885407
34451407
08087367
Stop Event
1×iter limit
1×node limit
Counts
62 → 60
Calls
Call 1
Inputs
(* x (- 1 (* z (- 1 y))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (/ (* z (- 1 (pow y 2))) (- 1 y))))
(* x (+ 1 z))
(* x z)
(* x (* y z))
(* x y)
(* x (sqrt y))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 z) 1)))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* -1 z)
(+ (* -1 z) (* y z))
-1
(- y 1)
(+ (* x (* y z)) (* x (+ 1 z)))
(- 1 z)
(- (+ 1 (* y z)) z)
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y z)
(* y (+ z (* -1 (/ z y))))
y
(* y (- 1 (/ 1 y)))
(* y (+ (* x z) (/ (* x (- 1 (* -1 z))) y)))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (* x z))) y)) (* x (* z (pow (sqrt -1) 2))))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* y (+ (* z (pow (sqrt -1) 2)) (/ z y))))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (/ 1 y) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 (* -1 z))) y)))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
x
(+ x (* x (* z (- y 1))))
(* z (- y 1))
(+ x (* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y))))))
(+ x (* x z))
1
(+ 1 (* z (- y 1)))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))))
(* z (+ (* x (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))) (/ x z)))
(* z (+ x (/ x z)))
(* z (- (+ y (/ 1 z)) 1))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(/ (* x (* z (- 1 (pow y 2)))) (- 1 y))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 (pow y 2))) (- 1 y))))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
Outputs
(* x (- 1 (* z (- 1 y))))
(fma.f64 (-.f64 (*.f64 y x) x) z x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 (-.f64 (*.f64 y x) x) z x)
(* x (+ 1 (/ (* z (- 1 (pow y 2))) (- 1 y))))
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 y #s(literal 1 binary64))) x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x z)
(*.f64 z x)
(* x (* y z))
(*.f64 (*.f64 z y) x)
(* x y)
(*.f64 y x)
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 (-.f64 (*.f64 y x) x) z x)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 z x x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 (-.f64 (*.f64 y x) x) z x)
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 (-.f64 (*.f64 y x) x) z x)
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* y z))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(+ (* x (* y z)) (* x (+ 1 z)))
(fma.f64 (fma.f64 z y z) x x)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 (* y z)) z)
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 (*.f64 y x) x) z x)
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 (-.f64 (*.f64 y x) x) z x)
(* y z)
(*.f64 z y)
(* y (+ z (* -1 (/ z y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
y
(* y (- 1 (/ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)
(* y (+ (* x z) (/ (* x (- 1 (* -1 z))) y)))
(fma.f64 (fma.f64 z y z) x x)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (-.f64 (*.f64 y x) x) z x)
(* -1 (* x (* y (* z (pow (sqrt -1) 2)))))
(*.f64 (*.f64 z y) x)
(* -1 (* y (+ (* -1 (/ (+ x (* -1 (* x z))) y)) (* x (* z (pow (sqrt -1) 2))))))
(fma.f64 (-.f64 (*.f64 y x) x) z x)
(* -1 (* y (* z (pow (sqrt -1) 2))))
(*.f64 z y)
(* -1 (* y (+ (* z (pow (sqrt -1) 2)) (/ z y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* -1 (* y (pow (sqrt -1) 2)))
y
(* -1 (* y (+ (/ 1 y) (pow (sqrt -1) 2))))
(-.f64 y #s(literal 1 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 (* -1 z))) y)))))
(fma.f64 (fma.f64 z y z) x x)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* -1 (* y (+ (* -1 z) (/ z y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* -1 (* x (* y (pow (sqrt -1) 2))))
(*.f64 y x)
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (sqrt.f64 y) x)
x
(+ x (* x (* z (- y 1))))
(fma.f64 (-.f64 (*.f64 y x) x) z x)
(* z (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(+ x (* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y))))))
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 y #s(literal 1 binary64))) x)
(+ x (* x z))
(fma.f64 z x x)
1
#s(literal 1 binary64)
(+ 1 (* z (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 (-.f64 (*.f64 y x) x) z x)
(* x (* z (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(* z (+ (* x (- (/ 1 (- 1 y)) (/ (pow y 2) (- 1 y)))) (/ x z)))
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 y #s(literal 1 binary64))) x)
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* z (- (+ y (/ 1 z)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* -1 (* x (* z (- 1 y))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(fma.f64 (-.f64 (*.f64 y x) x) z x)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 (-.f64 (*.f64 y x) x) z x)
(/ (* x (* z (- 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 (pow y 2))) (- 1 y))))))
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 y #s(literal 1 binary64))) x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* -1 (* z (- 1 y)))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))

rewrite365.0ms (3.5%)

Memory
34.8MiB live, 251.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040198
051170
1191170
21375164
09122156
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 107
Calls
Call 1
Inputs
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
(fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)
(*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z)
#s(approx (+ (* (sqrt y) (sqrt y)) -1) y)
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
#s(approx (+ (* z x) x) (*.f64 z x))
(*.f64 z x)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))
#s(approx (* (+ -1 y) z) (neg.f64 z))
(neg.f64 z)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
(*.f64 (*.f64 z x) y)
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) z))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) z)
(*.f64 x (sqrt.f64 y))
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
(*.f64 (fma.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) x)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x)) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x)) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x)) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x)) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x)) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x)) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x) #s(literal 2 binary64))))))
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eval40.0ms (0.4%)

Memory
-7.6MiB live, 34.7MiB allocated
Compiler

Compiled 4 637 to 382 computations (91.8% saved)

prune124.0ms (1.2%)

Memory
-19.2MiB live, 91.1MiB allocated
Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New1153118
Fresh224
Picked145
Done156
Total11914133
Accuracy
100.0%
Counts
133 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.5%
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (- 1 y) z) 2) (fma.f64 (*.f64 (+.f64 #s(literal -2 binary64) y) (*.f64 z z)) y (*.f64 z z)))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
✓55.4%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
✓34.7%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
✓26.7%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
42.4%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
✓74.6%
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
66.2%
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x))
✓40.3%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
✓38.4%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
19.5%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (sqrt.f64 y) (*.f64 x (*.f64 (sqrt.f64 y) z))))
✓95.8%
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))
✓46.1%
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
22.9%
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 y #s(literal 1 binary64)))))
✓7.5%
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
Compiler

Compiled 766 to 324 computations (57.7% saved)

regimes140.0ms (1.3%)

Memory
5.8MiB live, 150.1MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (-.f64 x (*.f64 z x))))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(approx (/ z (- 1 y)) (/.f64 (neg.f64 z) y)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (sqrt.f64 y) (*.f64 x (*.f64 (sqrt.f64 y) z))))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64)) z) x x))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (pow (* (- 1 y) z) 2) (fma.f64 (*.f64 (+.f64 #s(literal -2 binary64) y) (*.f64 z z)) y (*.f64 z z)))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x))
Calls

7 calls:

54.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
34.0ms
x
25.0ms
z
7.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
7.0ms
y
Results
AccuracySegmentsBranch
97.7%2(-.f64 #s(literal 1 binary64) y)
98.4%2(*.f64 (-.f64 #s(literal 1 binary64) y) z)
98.4%2(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
98.4%2(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
99.9%2x
97.7%2y
98.5%2z
Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes85.0ms (0.8%)

Memory
-13.9MiB live, 34.3MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (-.f64 x (*.f64 z x))))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))
Calls

5 calls:

69.0ms
z
4.0ms
x
4.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
4.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.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
95.8%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
99.6%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
99.6%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
99.9%3z
95.8%1x
Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes28.0ms (0.3%)

Memory
24.5MiB live, 70.8MiB allocated
Counts
12 → 4
Calls
Call 1
Inputs
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (-.f64 x (*.f64 z x))))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
Outputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
Calls

7 calls:

6.0ms
y
4.0ms
z
4.0ms
x
4.0ms
(*.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)))
Results
AccuracySegmentsBranch
89.2%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
78.8%3x
97.1%4(-.f64 #s(literal 1 binary64) y)
97.1%4y
97.6%4(*.f64 (-.f64 #s(literal 1 binary64) y) z)
97.6%4(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
95.1%3z
Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes15.0ms (0.1%)

Memory
-7.9MiB live, 38.6MiB allocated
Counts
11 → 4
Calls
Call 1
Inputs
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (-.f64 x (*.f64 z x))))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x))
Calls

4 calls:

4.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
4.0ms
y
3.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
3.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
97.1%4(-.f64 #s(literal 1 binary64) y)
97.1%4y
81.8%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
81.8%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
Compiler

Compiled 16 to 21 computations (-31.3% saved)

regimes16.0ms (0.2%)

Memory
-15.8MiB live, 34.6MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (-.f64 x (*.f64 z x))))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)))
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))
Calls

4 calls:

6.0ms
(-.f64 #s(literal 1 binary64) y)
3.0ms
y
3.0ms
z
3.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Results
AccuracySegmentsBranch
83.2%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
72.5%3z
88.1%3(-.f64 #s(literal 1 binary64) y)
88.1%3y
Compiler

Compiled 14 to 19 computations (-35.7% saved)

regimes17.0ms (0.2%)

Memory
-1.0MiB live, 45.0MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (-.f64 x (*.f64 z x))))
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
Calls

6 calls:

4.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
3.0ms
y
3.0ms
x
2.0ms
(-.f64 #s(literal 1 binary64) (*.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)))
Results
AccuracySegmentsBranch
66.2%1x
66.2%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
66.2%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
66.2%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
71.0%2(-.f64 #s(literal 1 binary64) y)
71.0%2y
Compiler

Compiled 26 to 32 computations (-23.1% saved)

regimes4.0ms (0%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (-.f64 x (*.f64 z x))))
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (-.f64 x (*.f64 z x))))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
Calls

2 calls:

2.0ms
y
2.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
71.0%2(-.f64 #s(literal 1 binary64) y)
71.0%2y
Compiler

Compiled 4 to 8 computations (-100% saved)

regimes14.0ms (0.1%)

Memory
-8.7MiB live, 38.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
Outputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))
Calls

7 calls:

3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
2.0ms
x
2.0ms
z
2.0ms
y
2.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
Results
AccuracySegmentsBranch
55.9%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
65.3%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
46.1%1x
65.3%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
65.4%3z
47.9%2(-.f64 #s(literal 1 binary64) y)
51.8%4y
Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes11.0ms (0.1%)

Memory
-13.4MiB live, 33.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
Outputs
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
Calls

6 calls:

3.0ms
y
2.0ms
z
2.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
1.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
46.1%1(-.f64 #s(literal 1 binary64) y)
46.1%1y
46.1%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
46.1%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
46.1%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
46.1%1z
Compiler

Compiled 26 to 32 computations (-23.1% saved)

regimes10.0ms (0.1%)

Memory
29.4MiB live, 29.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
Outputs
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
Calls

7 calls:

1.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
1.0ms
y
1.0ms
z
1.0ms
x
1.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
Results
AccuracySegmentsBranch
42.4%1x
46.2%3z
45.4%2(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
45.4%2(*.f64 (-.f64 #s(literal 1 binary64) y) z)
42.4%1(-.f64 #s(literal 1 binary64) y)
45.4%2(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
42.4%1y
Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes10.0ms (0.1%)

Memory
-22.8MiB live, 26.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

3.0ms
z
1.0ms
y
1.0ms
x
1.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Results
AccuracySegmentsBranch
7.5%1(-.f64 #s(literal 1 binary64) y)
7.5%1x
7.5%1y
7.5%1z
7.5%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
7.5%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
7.5%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Compiler

Compiled 27 to 35 computations (-29.6% saved)

bsearch4.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
3.0ms
2.2445602983843886e+125
1.970426222413024e+127
Samples
2.0ms32×0valid
Compiler

Compiled 104 to 80 computations (23.1% saved)

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

bsearch5.0ms (0%)

Memory
11.1MiB live, 11.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
3.0ms
1.2282657874415058e-145
2.8179505473520874e-139
2.0ms
-1.747828775345663e-31
-1.4237316827825867e-34
Samples
2.0ms48×0valid
Compiler

Compiled 168 to 122 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (85% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.5882240693172528e+300
1.0637204889857794e+306
0.0ms
1.180801546963831
234807137.26505187
0.0ms
-2.193012490199793e+41
-1.512895033766377e+39
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch85.0ms (0.8%)

Memory
-30.1MiB live, 63.3MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
8.516974387022452e-12
8.188144720392599e-10
12.0ms
-2.048452692650088e+51
-1.1986497796957062e+46
41.0ms
-1.0061942497474873e+228
-2.4318267313454296e+227
Samples
50.0ms352×0valid
Compiler

Compiled 1 030 to 748 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 4.0ms (47.4% of total)
ival-mult: 4.0ms (47.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Memory
24.5MiB live, 67.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
8.188144720392599e-10
449.439590494357
14.0ms
-1.5804033648671939e+75
-9.367971375481353e+64
Samples
20.0ms320×0valid
Compiler

Compiled 812 to 614 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (72% of total)
ival-sub: 3.0ms (24% 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
2.2MiB live, 2.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
8.516974387022452e-12
8.188144720392599e-10
Compiler

Compiled 327 to 238 computations (27.2% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
8.516974387022452e-12
8.188144720392599e-10
Compiler

Compiled 327 to 238 computations (27.2% saved)

bsearch75.0ms (0.7%)

Memory
-11.7MiB live, 41.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.00023679794091274102
193.36048444578984
60.0ms
-234807136.26505187
-657.2275850628375
Samples
61.0ms288×0valid
Compiler

Compiled 534 to 482 computations (9.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-sub: 50.0ms (91.8% of total)
ival-mult: 4.0ms (7.3% 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
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-5.900720501816522e-166
-3.444973414212612e-192
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify56.0ms (0.5%)

Memory
-0.7MiB live, 47.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109541
1184541
2349541
3954541
43378541
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x))) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)))
(if (<=.f64 z #s(literal -35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x))) (if (<=.f64 z #s(literal 686479766013061/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)) #s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal -200000000000000001240017290081556638990336 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)))))
(if (<=.f64 y #s(literal -849999999999999952665188179058755058573038995459843581128681531322676510737999755670680247147310500887019707221370746983260169623456924890774780475631379554087799194147242942577341607901369932077392371157734104282805642331160576 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (if (<=.f64 y #s(literal -12000000000000000424738068522656016135872315392 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)) (if (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)))))
(if (<=.f64 y #s(literal -12500000000000000523519069552643224487392923333004228539292846397587456 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z)) (if (<=.f64 y #s(literal 370 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))))
(if (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x)) #s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x)))
(if (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (-.f64 x (*.f64 z x)))) #s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x)))
(if (<=.f64 z #s(literal -660 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) (if (<=.f64 z #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #s(literal -4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))
Outputs
(if (<=.f64 x #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x))) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)))
(if (<=.f64 x #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) #s(approx (+ (* (* (+ -1 y) z) x) x) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) z) x x)))
(if (<=.f64 z #s(literal -35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x))) (if (<=.f64 z #s(literal 686479766013061/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)) #s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x)))))
(if (or (<=.f64 z #s(literal -35681192317649/356811923176489970264571492362373784095686656 binary64)) (not (<=.f64 z #s(literal 686479766013061/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)))) #s(approx (+ (* (* (+ -1 y) z) x) x) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 z (fma.f64 y x (neg.f64 x)) x))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal -200000000000000001240017290081556638990336 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal -200000000000000001240017290081556638990336 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (+.f64 #s(literal -1 binary64) y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (*.f64 (*.f64 z x) y)))))
(if (<=.f64 y #s(literal -849999999999999952665188179058755058573038995459843581128681531322676510737999755670680247147310500887019707221370746983260169623456924890774780475631379554087799194147242942577341607901369932077392371157734104282805642331160576 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z x) y)) (if (<=.f64 y #s(literal -12000000000000000424738068522656016135872315392 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)) (if (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)))))
(if (<=.f64 y #s(literal -849999999999999952665188179058755058573038995459843581128681531322676510737999755670680247147310500887019707221370746983260169623456924890774780475631379554087799194147242942577341607901369932077392371157734104282805642331160576 binary64)) #s(approx (+ (* (* (+ -1 y) z) x) x) (*.f64 (*.f64 z x) y)) (if (or (<=.f64 y #s(literal -12000000000000000424738068522656016135872315392 binary64)) (not (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)))) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 (*.f64 #s(approx (+ (* (sqrt y) (sqrt y)) -1) y) z) x x)) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x))))
(if (<=.f64 y #s(literal -12500000000000000523519069552643224487392923333004228539292846397587456 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z)) (if (<=.f64 y #s(literal 370 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 y x) z))))
(if (or (<=.f64 y #s(literal -12500000000000000523519069552643224487392923333004228539292846397587456 binary64)) (not (<=.f64 y #s(literal 370 binary64)))) #s(approx (+ (* (* (+ -1 y) z) x) x) (*.f64 (*.f64 y x) z)) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x)))
(if (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x)) #s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x)))
(if (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)) #s(approx (+ (* (* (+ -1 y) z) x) x) (fma.f64 #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)) x x)) #s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x)))
(if (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) #s(approx (+ (* (* (+ -1 y) z) x) x) (-.f64 x (*.f64 z x)))) #s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x)))
(if (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)) #s(approx (+ (* (* (+ -1 y) z) x) x) #s(approx (+ (* (* (+ -1 y) z) x) x) (-.f64 x (*.f64 z x)))) #s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x)))
(if (<=.f64 z #s(literal -660 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z)))) (if (<=.f64 z #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ -1 y) z) (neg.f64 z))))))
(if (or (<=.f64 z #s(literal -660 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(approx (* (+ (* (sqrt y) (sqrt y)) -1) z) (neg.f64 z)))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) (fma.f64 z x x))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #s(literal -4149515568880993/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752 binary64)) #s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x))) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))))
#s(approx (* x (+ (* (- 1 (* y y)) (/ z (- 1 y))) 1)) #s(approx (+ (* z x) x) (*.f64 z x)))

soundness2.8s (26.5%)

Memory
11.3MiB live, 1 332.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161415
1547407
21885407
34451407
08087367
0184498
1642486
22102484
35955484
08113442
0824
01224
14324
228724
3273924
0900222
032174
053164
1198164
21421151
08911147
04912223
116332113
260472060
083121958
074193
1241192
2651192
31785192
44358192
08315179
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 834 to 386 computations (53.7% saved)

preprocess952.0ms (9.1%)

Memory
12.2MiB live, 258.9MiB allocated
Remove

(negabs x)

Compiler

Compiled 1 388 to 342 computations (75.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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