Statistics.Sample:robustSumVarWeighted from math-functions-0.1.5.2

Time bar (total: 4.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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 9 to 8 computations (11.1% saved)

sample816.0ms (20%)

Memory
10.7MiB live, 868.4MiB allocated
Samples
473.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 254.0ms
ival-mult: 191.0ms (75.3% of total)
ival-add: 53.0ms (20.9% of total)
ival-true: 7.0ms (2.8% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain91.0ms (2.2%)

Memory
14.7MiB live, 52.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 y z) z)
00-0-y
00-0-(*.f64 y z)
00-0-z
00-0-(+.f64 x (*.f64 (*.f64 y z) z))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (68.3% of total)
ival-add: 2.0ms (19.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess77.0ms (1.9%)

Memory
-9.7MiB live, 36.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02772
17964
218364
345264
487664
5114064
6117064
067
097
1147
2157
0156
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) z))
Outputs
(+.f64 x (*.f64 (*.f64 y z) z))
(fma.f64 (*.f64 z y) z x)
Symmetry

(abs z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(+.f64 x (*.f64 (*.f64 y z) z))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) z)
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11418
21518
01517
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) z))
x
(*.f64 (*.f64 y z) z)
(*.f64 y z)
y
z
Outputs
(+.f64 x (*.f64 (*.f64 y z) z))
(fma.f64 (*.f64 z y) z x)
x
(*.f64 (*.f64 y z) z)
(*.f64 (*.f64 z y) z)
(*.f64 y z)
(*.f64 z y)
y
z

localize61.0ms (1.5%)

Memory
0.5MiB live, 35.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x (*.f64 (*.f64 y z) z))
accuracy0.0
(*.f64 y z)
accuracy0.11328125
(*.f64 (*.f64 y z) z)
Samples
55.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61% of total)
ival-add: 1.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series63.0ms (1.6%)

Memory
-27.2MiB live, 10.6MiB allocated
Counts
3 → 9
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) z))
(*.f64 (*.f64 y z) z)
(*.f64 y z)
Outputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* y z)
(* y (+ (/ x y) (pow z 2)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* (pow z 2) (+ y (/ x (pow z 2))))
Calls

9 calls:

TimeVariablePointExpression
57.0ms
z
@0
((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms
z
@-inf
((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms
y
@inf
((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms
y
@-inf
((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms
y
@0
((+ x (* (* y z) z)) (* (* y z) z) (* y z))

simplify405.0ms (9.9%)

Memory
-48.1MiB live, 83.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02851
18751
224151
371651
4218051
5443251
6715651
0823445
Stop Event
1×iter limit
1×node limit
Counts
9 → 8
Calls
Call 1
Inputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* y z)
(* y (+ (/ x y) (pow z 2)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* (pow z 2) (+ y (/ x (pow z 2))))
Outputs
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z y) z x)
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(fma.f64 (*.f64 z y) z x)
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(fma.f64 (*.f64 z y) z x)
(* y z)
(*.f64 z y)
(* y (+ (/ x y) (pow z 2)))
(fma.f64 (*.f64 z y) z x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(fma.f64 (*.f64 z y) z x)
(* (pow z 2) (+ y (/ x (pow z 2))))
(fma.f64 (*.f64 z y) z x)

rewrite214.0ms (5.3%)

Memory
33.4MiB live, 148.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
12715
217915
3179215
0860014
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 172
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) z))
(*.f64 (*.f64 y z) z)
(*.f64 y z)
Outputs
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 x (-.f64 x (*.f64 (*.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 x (-.f64 x (*.f64 (*.f64 z y) z)))) (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z y) z) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (*.f64 z y) z)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (*.f64 z y) z)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z y) z) (fma.f64 (*.f64 z y) z x) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z y) z) x)) #s(literal 2 binary64))))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (*.f64 z y) z) x) (*.f64 (*.f64 z y) z))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y (-.f64 (*.f64 (*.f64 z y) z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 z y) z) x) (*.f64 (*.f64 z y) z)) (fma.f64 (-.f64 (*.f64 (*.f64 z y) z) x) (*.f64 (*.f64 z y) z) (neg.f64 (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64))) (-.f64 x (*.f64 (*.f64 z y) z))) (pow.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 6 binary64))) (-.f64 x (*.f64 (*.f64 z y) z))) (pow.f64 (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 6 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 x (-.f64 x (*.f64 (*.f64 z y) z))))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 x (-.f64 x (*.f64 (*.f64 z y) z))))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z y) z) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (*.f64 z y) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 z y) z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x (*.f64 (*.f64 z y) z))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 z y) z))))))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (*.f64 (*.f64 z y) z)) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 6 binary64)) (pow.f64 (-.f64 x (*.f64 (*.f64 z y) z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (*.f64 z y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 z y) z))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (*.f64 z y) z)))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 z y) z))))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 z y) z) x))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 z y) z))) (*.f64 (-.f64 x (*.f64 (*.f64 z y) z)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (*.f64 z y) z)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 z y) z x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 z y) z)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (*.f64 z y) z)) (fma.f64 x x (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (*.f64 (*.f64 z y) z) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (*.f64 (*.f64 z y) z)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 x (-.f64 x (*.f64 (*.f64 z y) z)))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (*.f64 z y) z)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 x (-.f64 x (*.f64 (*.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 z y) z)) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 x x)))
(*.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 x (-.f64 x (*.f64 (*.f64 z y) z)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x))
(*.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z y) z) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 x (-.f64 x (*.f64 (*.f64 z y) z)))))))
(*.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 x (-.f64 x (*.f64 (*.f64 z y) z)))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z y) z) x) #s(literal 3 binary64))))))
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (*.f64 z y) z))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 x (-.f64 x (*.f64 (*.f64 z y) z))))))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 x x)) (pow.f64 (-.f64 x (*.f64 (*.f64 z y) z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 x (-.f64 x (*.f64 (*.f64 z y) z)))) (/.f64 (fma.f64 (*.f64 z y) z x) (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 x (-.f64 x (*.f64 (*.f64 z y) z))))))
(*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 x (-.f64 x (*.f64 (*.f64 z y) z)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 z y) z x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1 binary64))
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(*.f64 (*.f64 z z) y)
(*.f64 (*.f64 z y) z)
(*.f64 z (pow.f64 (*.f64 z y) #s(literal 1 binary64)))
(*.f64 z (*.f64 z y))
(*.f64 y (*.f64 z z))
(pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 (neg.f64 z) z) y))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) z) y))
(exp.f64 (*.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)))
(*.f64 z y)
(*.f64 y z)

eval95.0ms (2.3%)

Memory
-33.1MiB live, 54.5MiB allocated
Compiler

Compiled 5 924 to 493 computations (91.7% saved)

prune5.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1705175
Fresh000
Picked101
Done000
Total1715176
Accuracy
100.0%
Counts
176 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.6%
(fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) x)
▶94.7%
(fma.f64 (*.f64 z z) y x)
▶99.9%
(fma.f64 (*.f64 z y) z x)
▶40.9%
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (*.f64 z y) z))))
▶43.4%
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
Compiler

Compiled 126 to 80 computations (36.5% saved)

simplify127.0ms (3.1%)

Memory
5.9MiB live, 123.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 (*.f64 z y) z)
cost-diff2240
(fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) x)
cost-diff5824
(pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64))
cost-diff0
(pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))
cost-diff0
(*.f64 x x)
cost-diff192
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)))
cost-diff8768
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (*.f64 z y) z))))
cost-diff0
(*.f64 z z)
cost-diff0
(fma.f64 (*.f64 z z) y x)
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 (*.f64 z z) y)
cost-diff0
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
cost-diff0
(*.f64 z y)
cost-diff0
(fma.f64 (*.f64 z y) z x)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024155
040127
166126
2129126
3303126
4951126
51680126
65482126
77569126
08046126
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
z
y
x
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
(fma.f64 (*.f64 z z) y x)
(*.f64 z z)
z
y
x
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (*.f64 z y) z))))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)))
#s(literal -1 binary64)
(*.f64 x x)
x
(pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))
(*.f64 (*.f64 z y) z)
(*.f64 z y)
z
y
#s(literal 2 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (*.f64 z y) z)))
(-.f64 x (*.f64 (*.f64 z y) z))
(fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) x)
(pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64))
(*.f64 (*.f64 z y) z)
(*.f64 z y)
z
y
#s(literal 1/2 binary64)
x
Outputs
(fma.f64 (*.f64 z y) z x)
(fma.f64 (*.f64 y z) z x)
(*.f64 z y)
(*.f64 y z)
z
y
x
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
(fma.f64 (*.f64 z z) y x)
(fma.f64 (*.f64 y z) z x)
(*.f64 z z)
z
y
x
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (*.f64 z y) z))))
(fma.f64 (*.f64 y z) z x)
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)))
#s(literal -1 binary64)
(*.f64 x x)
x
(pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64))
(*.f64 (*.f64 z y) z)
(*.f64 (*.f64 z z) y)
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 2 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (*.f64 z y) z)))
(/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (*.f64 z z) y)))
(-.f64 x (*.f64 (*.f64 z y) z))
(-.f64 x (*.f64 (*.f64 z z) y))
(fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 y z) z x)
(pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 z z) y))
(*.f64 (*.f64 z y) z)
(*.f64 (*.f64 z z) y)
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 1/2 binary64)
x

localize75.0ms (1.8%)

Memory
-17.6MiB live, 139.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z y)
accuracy0.04296875
(fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) x)
accuracy0.0546875
(*.f64 (*.f64 z y) z)
accuracy11.294930110769533
(pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64))
accuracy0.0546875
(*.f64 (*.f64 z y) z)
accuracy0.05535126953688403
(pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))
accuracy3.089839621660412
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)))
accuracy16.435274596989778
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (*.f64 z y) z))))
accuracy0.0
(*.f64 z z)
accuracy2.0932901150618757
(fma.f64 (*.f64 z z) y x)
accuracy0.0
(*.f64 z z)
accuracy3.6792161865957302
(*.f64 (*.f64 z z) y)
accuracy13.995436123225073
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
accuracy0.0
(*.f64 z y)
accuracy0.02734375
(fma.f64 (*.f64 z y) z x)
Samples
29.0ms135×0invalid
22.0ms121×0valid
Compiler

Compiled 311 to 51 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 18.0ms (52.7% of total)
ival-add: 6.0ms (17.6% of total)
ival-div: 4.0ms (11.7% of total)
ival-pow2: 3.0ms (8.8% of total)
ival-sqrt: 2.0ms (5.9% of total)
ival-sub: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.6%)

Memory
13.1MiB live, 51.1MiB allocated
Counts
13 → 22
Calls
Call 1
Inputs
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
(fma.f64 (*.f64 z z) y x)
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (*.f64 z y) z))))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 z y) z)
Outputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(* (pow y 2) (pow z 4))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(pow x 2)
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* y z)
(* (sqrt y) z)
(* y (+ (/ x y) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow z 2) (pow (sqrt -1) 2)))))
(pow z 2)
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* -1 (* (sqrt y) z))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z))
4.0ms
y
@0
((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z))
3.0ms
z
@inf
((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z))
2.0ms
y
@inf
((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z))
2.0ms
z
@0
((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z))

simplify187.0ms (4.6%)

Memory
-3.0MiB live, 184.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060146
1175143
2516143
31540143
43852139
57032139
08212132
Stop Event
1×iter limit
1×node limit
Counts
22 → 21
Calls
Call 1
Inputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(* (pow y 2) (pow z 4))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(pow x 2)
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* y z)
(* (sqrt y) z)
(* y (+ (/ x y) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow z 2) (pow (sqrt -1) 2)))))
(pow z 2)
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* -1 (* (sqrt y) z))
Outputs
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(* (pow y 2) (pow z 4))
(*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y)
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 (neg.f64 x) x))
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(fma.f64 (*.f64 z z) y x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(fma.f64 (*.f64 z z) y x)
(* y z)
(*.f64 y z)
(* (sqrt y) z)
(*.f64 (sqrt.f64 y) z)
(* y (+ (/ x y) (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 (neg.f64 x) x))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(fma.f64 (*.f64 z z) y x)
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 y) z)
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(*.f64 (*.f64 z z) y)
(* -1 (* y (+ (* -1 (/ x y)) (* (pow z 2) (pow (sqrt -1) 2)))))
(fma.f64 (*.f64 z z) y x)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ y (/ x (pow z 2))))
(fma.f64 (*.f64 z z) y x)
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 (neg.f64 x) x))
(* -1 (* (sqrt y) z))
(*.f64 (neg.f64 z) (sqrt.f64 y))

rewrite294.0ms (7.2%)

Memory
23.5MiB live, 310.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024108
04080
116579
295975
0875575
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 1 700
Calls
Call 1
Inputs
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
(fma.f64 (*.f64 z z) y x)
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (*.f64 z y) z))))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 z y) z)
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x (*.f64 z (*.f64 z y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))))) (pow.f64 (-.f64 x (*.f64 z (*.f64 z y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x (*.f64 z (*.f64 z y))) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z (*.f64 z y)) (-.f64 (*.f64 z (*.f64 z y)) x) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 z (*.f64 z y)))))
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(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))))) (fma.f64 z (*.f64 z y) x))
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(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 z (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 (*.f64 z (*.f64 z y)) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 (*.f64 z (*.f64 z y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 z y)) x))))
(+.f64 (/.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 (*.f64 z (*.f64 z y)) x)) (/.f64 (*.f64 x x) (-.f64 x (*.f64 z (*.f64 z y)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 z (*.f64 z y)))) (*.f64 (neg.f64 x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 z (*.f64 z y)))) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 z (*.f64 z y)))) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 z (*.f64 z y)))) (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 z (*.f64 z y)) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 z (*.f64 z y)) x)
(+.f64 x (*.f64 z (*.f64 z y)))
(*.f64 (neg.f64 (*.f64 (neg.f64 z) z)) y)
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 z z))
(*.f64 (neg.f64 (neg.f64 z)) (*.f64 z y))
(*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) z)
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) z)) (sqrt.f64 z))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 z (sqrt.f64 y)) z) #s(literal 2 binary64))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) y)) z)
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 (*.f64 y y)))
(*.f64 (sqrt.f64 (*.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 z (sqrt.f64 y))))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 y))) (sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (*.f64 z z))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 z y))))
(*.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 z z))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) z) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 z (sqrt.f64 y)) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 (*.f64 z (*.f64 z y)) y) #s(literal 1/2 binary64)) z)
(*.f64 (pow.f64 (*.f64 (*.f64 z (*.f64 z y)) z) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z y)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z (*.f64 z y)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 (*.f64 z y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 z (*.f64 z y)) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 z (*.f64 z y)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 (*.f64 z y))) (sqrt.f64 z))
(*.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 z) z))
(*.f64 (neg.f64 z) (*.f64 (neg.f64 y) z))
(*.f64 z (sqrt.f64 (*.f64 y (*.f64 z (*.f64 z y)))))
(*.f64 z (pow.f64 (*.f64 y (*.f64 z (*.f64 z y))) #s(literal 1/2 binary64)))
(*.f64 z (*.f64 z y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 (*.f64 z (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 y) (pow.f64 (pow.f64 (*.f64 z (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 y) z) (neg.f64 z))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z)) (pow.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z)) (pow.f64 (*.f64 z (*.f64 z y)) #s(literal 3/4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z y)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 z y)))))
(*.f64 (sqrt.f64 z) (pow.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 z y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 y))))
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 z) z) y))
(*.f64 (*.f64 z z) (exp.f64 (log.f64 y)))
(*.f64 (*.f64 z z) (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)))
(*.f64 (*.f64 z z) y)
(*.f64 (*.f64 z y) z)
(*.f64 y (*.f64 z z))
(pow.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z (*.f64 z y)) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 (neg.f64 z) z) y))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) z) y))
(fabs.f64 (*.f64 z (*.f64 z y)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)))

eval90.0ms (2.2%)

Memory
7.8MiB live, 234.2MiB allocated
Compiler

Compiled 23 178 to 2 109 computations (90.9% saved)

prune53.0ms (1.3%)

Memory
4.2MiB live, 48.2MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New8623865
Fresh000
Picked235
Done000
Total8646870
Accuracy
100.0%
Counts
870 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓94.7%
(fma.f64 (*.f64 z z) y x)
✓99.9%
(fma.f64 (*.f64 z y) z x)
▶25.3%
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
✓43.4%
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
▶48.7%
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))
▶21.4%
#s(approx (+ x (* (* y z) z)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y))))
Compiler

Compiled 76 to 51 computations (32.9% saved)

simplify11.0ms (0.3%)

Memory
-32.1MiB live, 6.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 y)
cost-diff0
(*.f64 z (sqrt.f64 y))
cost-diff0
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
cost-diff1600
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 (*.f64 z y) z)
cost-diff0
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))
cost-diff0
(*.f64 z (*.f64 z y))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y)))
cost-diff0
#s(approx (+ x (* (* y z) z)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019120
029112
147112
259104
380104
481104
081101
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) z)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z))
(*.f64 (*.f64 z (*.f64 z y)) z)
(*.f64 z (*.f64 z y))
z
(*.f64 z y)
y
(sqrt.f64 (*.f64 z y))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))
(*.f64 (*.f64 z y) z)
(*.f64 z y)
z
y
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 z (sqrt.f64 y))
z
(sqrt.f64 y)
y
Outputs
#s(approx (+ x (* (* y z) z)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y))))
#s(approx (+ x (* (* y z) z)) (*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y)))
(sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y))
(*.f64 (*.f64 z (*.f64 z y)) z)
(*.f64 (pow.f64 z #s(literal 3 binary64)) y)
(*.f64 z (*.f64 z y))
(*.f64 (*.f64 z y) z)
z
(*.f64 z y)
y
(sqrt.f64 (*.f64 z y))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))
(*.f64 (*.f64 z y) z)
(*.f64 z y)
z
y
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 (*.f64 z y) z)
(*.f64 z (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
z
(sqrt.f64 y)
y

localize47.0ms (1.2%)

Memory
29.5MiB live, 102.4MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 y)
accuracy0.1015625
(*.f64 z (sqrt.f64 y))
accuracy0.10546875
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
accuracy13.995436123225073
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
accuracy0.0
(*.f64 z y)
accuracy0.0546875
(*.f64 (*.f64 z y) z)
accuracy13.995436123225073
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))
accuracy0.0859375
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y)))
accuracy8.08116641972073
(sqrt.f64 (*.f64 z y))
accuracy9.567572422813269
(sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z))
accuracy13.995436123225073
#s(approx (+ x (* (* y z) z)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y))))
Samples
17.0ms121×0valid
16.0ms135×0invalid
Compiler

Compiled 212 to 37 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 15.0ms (71.3% of total)
ival-sqrt: 5.0ms (23.8% of total)
ival-add: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (1%)

Memory
-35.8MiB live, 26.5MiB allocated
Counts
12 → 20
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) z)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z))
(*.f64 z (*.f64 z y))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))
(*.f64 (*.f64 z y) z)
(*.f64 z y)
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
(*.f64 z (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 (*.f64 z y))
Outputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(sqrt (* y (pow z 3)))
(* y z)
(* (sqrt y) z)
(sqrt y)
(sqrt (* y z))
(* y (+ (/ x y) (pow z 2)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (* y (pow z 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* y (* (pow z 2) (pow (sqrt -1) 2)))
(* (sqrt (* y (pow z 3))) (pow (sqrt -1) 2))
Calls

9 calls:

TimeVariablePointExpression
29.0ms
y
@-inf
((+ x (* (* y z) z)) (* (sqrt (* (* z (* z y)) z)) (sqrt (* z y))) (sqrt (* (* z (* z y)) z)) (* z (* z y)) (+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (sqrt (* z y)))
3.0ms
z
@-inf
((+ x (* (* y z) z)) (* (sqrt (* (* z (* z y)) z)) (sqrt (* z y))) (sqrt (* (* z (* z y)) z)) (* z (* z y)) (+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (sqrt (* z y)))
2.0ms
y
@inf
((+ x (* (* y z) z)) (* (sqrt (* (* z (* z y)) z)) (sqrt (* z y))) (sqrt (* (* z (* z y)) z)) (* z (* z y)) (+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (sqrt (* z y)))
2.0ms
y
@0
((+ x (* (* y z) z)) (* (sqrt (* (* z (* z y)) z)) (sqrt (* z y))) (sqrt (* (* z (* z y)) z)) (* z (* z y)) (+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (sqrt (* z y)))
2.0ms
z
@inf
((+ x (* (* y z) z)) (* (sqrt (* (* z (* z y)) z)) (sqrt (* z y))) (sqrt (* (* z (* z y)) z)) (* z (* z y)) (+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (sqrt (* z y)))

simplify92.0ms (2.3%)

Memory
15.7MiB live, 88.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049109
1140101
2428101
31161101
42789101
55424101
67512101
0804295
Stop Event
1×iter limit
1×node limit
Counts
20 → 19
Calls
Call 1
Inputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(sqrt (* y (pow z 3)))
(* y z)
(* (sqrt y) z)
(sqrt y)
(sqrt (* y z))
(* y (+ (/ x y) (pow z 2)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (* y (pow z 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* y (* (pow z 2) (pow (sqrt -1) 2)))
(* (sqrt (* y (pow z 3))) (pow (sqrt -1) 2))
Outputs
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(fma.f64 (*.f64 z z) y x)
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(fma.f64 (*.f64 z z) y x)
(sqrt (* y (pow z 3)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y))
(* y z)
(*.f64 z y)
(* (sqrt y) z)
(*.f64 (sqrt.f64 y) z)
(sqrt y)
(sqrt.f64 y)
(sqrt (* y z))
(sqrt.f64 (*.f64 z y))
(* y (+ (/ x y) (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(fma.f64 (*.f64 z z) y x)
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(*.f64 (*.f64 z z) y)
(* -1 (* (sqrt (* y (pow z 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 y) z)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 z y))
(* (pow z 2) (+ y (/ x (pow z 2))))
(fma.f64 (*.f64 z z) y x)
(* y (* (pow z 2) (pow (sqrt -1) 2)))
(*.f64 (*.f64 (neg.f64 z) y) z)
(* (sqrt (* y (pow z 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y)))

rewrite169.0ms (4.1%)

Memory
5.2MiB live, 248.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019104
029101
17389
230378
3255078
0843275
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 360
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) z)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z))
(*.f64 z (*.f64 z y))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))
(*.f64 (*.f64 z y) z)
(*.f64 z y)
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
(*.f64 z (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 (*.f64 z y))
Outputs
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))))) (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (fabs.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)))) (fabs.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) z) z) (pow.f64 y #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))) (fabs.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 z y)))))
(*.f64 (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y)) (fabs.f64 (sqrt.f64 z)))
(*.f64 (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))) (fabs.f64 (sqrt.f64 (*.f64 z y))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))) (fabs.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)))))
(*.f64 (fabs.f64 (sqrt.f64 z)) (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y)))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 z y))) (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (sqrt.f64 y) z))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (sqrt.f64 y))) (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 (sqrt.f64 y) z) z))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) y) (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) z))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z y) y)) (pow.f64 z #s(literal 3/2 binary64)))
(*.f64 (exp.f64 (log.f64 z)) (*.f64 z y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))) (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) z) z) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) z) (sqrt.f64 (*.f64 (sqrt.f64 y) (*.f64 (*.f64 z z) y))))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y (*.f64 z y))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 (*.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3 binary64))))
(*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y) (sqrt.f64 z))
(*.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 z y))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (fabs.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 y) z) z))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) z) z) (*.f64 (*.f64 z z) y))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 4 binary64)) y))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 y) z) z)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) z) z) (sqrt.f64 y))
(*.f64 (*.f64 z z) y)
(*.f64 (*.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) z) z))
(*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)))
(*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))
(*.f64 (*.f64 z y) (exp.f64 (log.f64 z)))
(*.f64 (*.f64 z y) z)
(*.f64 z (*.f64 z y))
(*.f64 y (*.f64 z z))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (sqrt.f64 y) z)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 z z) y) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 z) z) y))
(fabs.f64 (*.f64 (*.f64 z z) y))
(exp.f64 (+.f64 (+.f64 (log.f64 (sqrt.f64 y)) (*.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (log.f64 y)) #s(literal 1/2 binary64))) (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (+.f64 (log.f64 (sqrt.f64 y)) (*.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (log.f64 y)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 y) z) z))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 y) z))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) z) (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) z)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) z))
(*.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) z) z) z)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (*.f64 z z))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 y) z))
(*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 z))
(*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 z y)) z)
(*.f64 z (sqrt.f64 (*.f64 z y)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 z) #s(literal 3 binary64) (log.f64 y)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y))
(exp.f64 (fma.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (log.f64 y)) #s(literal 1/4 binary64) (*.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (log.f64 y)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 y) z))))
(exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 y) z)) (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (log.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (log.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))))) (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (fabs.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)))) (fabs.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) z) z) (pow.f64 y #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))) (fabs.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 z y)))))
(*.f64 (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y)) (fabs.f64 (sqrt.f64 z)))
(*.f64 (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))) (fabs.f64 (sqrt.f64 (*.f64 z y))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))) (fabs.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)))))
(*.f64 (fabs.f64 (sqrt.f64 z)) (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y)))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 z y))) (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (sqrt.f64 y) z))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (sqrt.f64 y))) (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 (sqrt.f64 y) z) z))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z z) y) (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) z))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z y) y)) (pow.f64 z #s(literal 3/2 binary64)))
(*.f64 (exp.f64 (log.f64 z)) (*.f64 z y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))) (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) z) z) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) z) (sqrt.f64 (*.f64 (sqrt.f64 y) (*.f64 (*.f64 z z) y))))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y (*.f64 z y))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 (*.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3 binary64))))
(*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y) (sqrt.f64 z))
(*.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 z y))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (fabs.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 y) z) z))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) z) z) (*.f64 (*.f64 z z) y))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 4 binary64)) y))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 y) z) z)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) z) z) (sqrt.f64 y))
(*.f64 (*.f64 z z) y)
(*.f64 (*.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) z) z))
(*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)))
(*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))
(*.f64 (*.f64 z y) (exp.f64 (log.f64 z)))
(*.f64 (*.f64 z y) z)
(*.f64 z (*.f64 z y))
(*.f64 y (*.f64 z z))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (sqrt.f64 y) z)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 z z) y) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 z) z) y))
(fabs.f64 (*.f64 (*.f64 z z) y))
(exp.f64 (+.f64 (+.f64 (log.f64 (sqrt.f64 y)) (*.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (log.f64 y)) #s(literal 1/2 binary64))) (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (+.f64 (log.f64 (sqrt.f64 y)) (*.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (log.f64 y)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))))) (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (fabs.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)))) (fabs.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) z) z) (pow.f64 y #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))) (fabs.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 z y)))))
(*.f64 (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y)) (fabs.f64 (sqrt.f64 z)))
(*.f64 (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))) (fabs.f64 (sqrt.f64 (*.f64 z y))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))) (fabs.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)))))
(*.f64 (fabs.f64 (sqrt.f64 z)) (fabs.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y)))
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(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 z y)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 z y)) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (log.f64 y)) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 z y)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 z y)) #s(literal 1/4 binary64) (*.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (log.f64 y)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 y) z)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(fabs.f64 (neg.f64 (sqrt.f64 y)))
(fabs.f64 (sqrt.f64 y))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (pow.f64 y #s(literal 1/4 binary64)))) (sqrt.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) z))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) z)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 z y)))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z y) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 z y))
(exp.f64 (fma.f64 (log.f64 (*.f64 z y)) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 z y)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 y))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1/2 binary64)))

eval31.0ms (0.8%)

Memory
-1.7MiB live, 74.2MiB allocated
Compiler

Compiled 7 645 to 1 149 computations (85% saved)

prune30.0ms (0.7%)

Memory
-16.8MiB live, 22.8MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New3311332
Fresh000
Picked123
Done033
Total3326338
Accuracy
100.0%
Counts
338 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓94.7%
(fma.f64 (*.f64 z z) y x)
✓99.9%
(fma.f64 (*.f64 z y) z x)
▶25.6%
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y))))
✓25.3%
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
✓43.4%
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
✓48.7%
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))
Compiler

Compiled 74 to 49 computations (33.8% saved)

simplify3.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 z y))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 z y)) z)
cost-diff0
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y))))
cost-diff1920
(*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
01545
12445
22833
32933
43033
03032
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 z y)) z)
(sqrt.f64 (*.f64 z y))
(*.f64 z y)
z
y
Outputs
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y))))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y)))
(*.f64 (*.f64 z z) y)
(*.f64 (sqrt.f64 (*.f64 z y)) z)
(sqrt.f64 (*.f64 z y))
(*.f64 z y)
z
y

localize42.0ms (1%)

Memory
2.4MiB live, 45.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(*.f64 (sqrt.f64 (*.f64 z y)) z)
accuracy0.0859375
(*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y)))
accuracy8.08116641972073
(sqrt.f64 (*.f64 z y))
accuracy13.995436123225073
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y))))
Samples
27.0ms135×0invalid
9.0ms121×0valid
Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 25.0ms (89.4% of total)
ival-sqrt: 2.0ms (7.2% of total)
ival-add: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
4 → 13
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y)))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y))))
(*.f64 (sqrt.f64 (*.f64 z y)) z)
(sqrt.f64 (*.f64 z y))
Outputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(sqrt (* y (pow z 3)))
(sqrt (* y z))
(* y (+ (/ x y) (pow z 2)))
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* (sqrt (* y (pow z 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* (pow z 2) (+ y (/ x (pow z 2))))
Calls

9 calls:

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

simplify116.0ms (2.9%)

Memory
-14.3MiB live, 61.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04273
112173
235373
3101273
4253773
5503673
6700173
7798773
0800767
Stop Event
1×iter limit
1×node limit
Counts
13 → 12
Calls
Call 1
Inputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(sqrt (* y (pow z 3)))
(sqrt (* y z))
(* y (+ (/ x y) (pow z 2)))
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* (sqrt (* y (pow z 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* (pow z 2) (+ y (/ x (pow z 2))))
Outputs
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(fma.f64 (*.f64 z z) y x)
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(fma.f64 (*.f64 z z) y x)
(sqrt (* y (pow z 3)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y))
(sqrt (* y z))
(sqrt.f64 (*.f64 y z))
(* y (+ (/ x y) (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(*.f64 (*.f64 z z) y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(fma.f64 (*.f64 z z) y x)
(* -1 (* (sqrt (* y (pow z 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 y z))
(* (pow z 2) (+ y (/ x (pow z 2))))
(fma.f64 (*.f64 z z) y x)

rewrite203.0ms (5%)

Memory
16.3MiB live, 138.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
01540
14240
221628
3191528
0822027
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 75
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y)))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y))))
(*.f64 (sqrt.f64 (*.f64 z y)) z)
(sqrt.f64 (*.f64 z y))
Outputs
(*.f64 (exp.f64 (log.f64 y)) (*.f64 z z))
(*.f64 (exp.f64 (log.f64 z)) (*.f64 y z))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 y (*.f64 y z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 y (*.f64 y z))) z) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 y z) z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 y (*.f64 y z))) z) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 y z) z)) (*.f64 (sqrt.f64 y) z))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y (*.f64 y z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y (*.f64 y z))) z) (sqrt.f64 z))
(*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y z))) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))))
(*.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y z))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 y (*.f64 y z))) z))
(*.f64 (*.f64 z z) (exp.f64 (log.f64 y)))
(*.f64 (*.f64 z z) y)
(*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 y z)))
(*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)))
(*.f64 (*.f64 y z) (exp.f64 (log.f64 z)))
(*.f64 (*.f64 y z) z)
(*.f64 y (*.f64 z z))
(*.f64 z (*.f64 y z))
(pow.f64 (*.f64 (*.f64 y z) z) #s(literal 1 binary64))
(exp.f64 (*.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 y z) z))
(*.f64 (*.f64 z (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) z))
(*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 (*.f64 y z)) z)
(*.f64 z (sqrt.f64 (*.f64 y z)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 y z) y))) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 y z) z))) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 y z) z))))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (*.f64 y (*.f64 y z)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (sqrt.f64 (*.f64 y z))))
(*.f64 (pow.f64 (*.f64 (*.f64 y z) z) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 y z) y) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 y z) y)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 y z) z)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 y z) z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 y (*.f64 y z))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 y z) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (*.f64 y z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 y z) y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 y z)))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 y z))
(fabs.f64 (sqrt.f64 (*.f64 y z)))
(exp.f64 (fma.f64 (log.f64 (*.f64 y z)) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (*.f64 (log.f64 y) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/2 binary64)))

eval39.0ms (1%)

Memory
-25.8MiB live, 12.7MiB allocated
Compiler

Compiled 2 648 to 401 computations (84.9% saved)

prune5.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1160116
Fresh000
Picked011
Done055
Total1166122
Accuracy
100.0%
Counts
122 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓94.7%
(fma.f64 (*.f64 z z) y x)
✓99.9%
(fma.f64 (*.f64 z y) z x)
✓25.6%
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y))))
✓25.3%
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
✓43.4%
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
✓48.7%
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))
Compiler

Compiled 214 to 90 computations (57.9% saved)

regimes35.0ms (0.9%)

Memory
-9.9MiB live, 27.1MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
(fma.f64 (*.f64 z y) z x)
(fma.f64 (*.f64 z z) y x)
(+.f64 x (*.f64 (*.f64 y z) z))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 (*.f64 z y))))
#s(approx (+ x (* (* y z) z)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 z y)) z)) (sqrt.f64 (*.f64 z y))))
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (*.f64 z y) z))))
(fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 1/2 binary64)) x)
Outputs
(fma.f64 (*.f64 z y) z x)
Calls

5 calls:

22.0ms
x
3.0ms
z
3.0ms
y
3.0ms
(+.f64 x (*.f64 (*.f64 y z) z))
3.0ms
(*.f64 (*.f64 y z) z)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 x (*.f64 (*.f64 y z) z))
99.9%1(*.f64 (*.f64 y z) z)
Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes7.0ms (0.2%)

Memory
13.4MiB live, 13.4MiB allocated
Accuracy

Total -3.4b remaining (-10.3%)

Threshold costs -3.4b (-10.3%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z z) y))
Outputs
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))
Calls

5 calls:

1.0ms
z
1.0ms
y
1.0ms
x
1.0ms
(+.f64 x (*.f64 (*.f64 y z) z))
1.0ms
(*.f64 (*.f64 y z) z)
Results
AccuracySegmentsBranch
48.7%1x
48.7%1y
48.7%1z
48.7%1(+.f64 x (*.f64 (*.f64 y z) z))
48.7%1(*.f64 (*.f64 y z) z)
Compiler

Compiled 15 to 20 computations (-33.3% saved)

simplify8.0ms (0.2%)

Memory
12.7MiB live, 12.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
11519
21619
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 z y) z x)
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))
Outputs
(fma.f64 (*.f64 z y) z x)
#s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 z y) z))

soundness487.0ms (11.9%)

Memory
-23.8MiB live, 294.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
12715
217915
3179215
0860014
02851
18751
224151
371651
4218051
5443251
6715651
0823445
024108
04080
116579
295975
0875575
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 56 to 33 computations (41.1% saved)

preprocess17.0ms (0.4%)

Memory
35.8MiB live, 35.8MiB allocated
Remove

(abs z)

Compiler

Compiled 64 to 42 computations (34.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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