Statistics.Distribution.Beta:$cvariance from math-functions-0.1.5.2

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze83.0ms (1.4%)

Memory
16.7MiB live, 104.8MiB allocated; 24ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.0s (17%)

Memory
27.9MiB live, 1 486.7MiB allocated; 344ms collecting garbage
Samples
650.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 352.0ms
ival-mult: 215.0ms (61% of total)
ival-div: 74.0ms (21% of total)
ival-add: 48.0ms (13.6% of total)
ival-true: 6.0ms (1.7% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.9% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain92.0ms (1.5%)

Memory
-5.3MiB live, 188.4MiB allocated; 25ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
510-4(3.246279434046385e-288 2.434315405686281e-27 6.415608821195099e-24)(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 x y)
00-0-(+.f64 z #s(literal 1 binary64))
00-0-(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
00-0-(*.f64 z z)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))n/u140
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))underflow69
(*.f64 z z)underflow69
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))u/u90
(*.f64 x y)underflow34
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))underflow69
(*.f64 z z)underflow69
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))o/o80
(*.f64 x y)overflow30
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow78
(*.f64 z z)overflow57
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))n/o70
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))overflow78
(*.f64 z z)overflow57
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))u/n70
(*.f64 x y)underflow34
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))o/n20
(*.f64 x y)overflow30
Confusion
Predicted +Predicted -
+474
-0205
Precision
1.0
Recall
0.9215686274509803
Confusion?
Predicted +Predicted MaybePredicted -
+4704
-00205
Precision?
1.0
Recall?
0.9215686274509803
Freqs
test
numberfreq
0209
147
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 77 to 31 computations (59.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (48.1% of total)
ival-add: 5.0ms (26.7% of total)
ival-div: 3.0ms (16% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess278.0ms (4.6%)

Memory
-0.3MiB live, 148.6MiB allocated; 58ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034110
1145103
2738101
3366899
4613699
5696199
6715799
7717599
8718199
9718199
10774099
11790299
12795499
13795499
0911
01411
13811
214311
359111
4136911
5248011
6291911
7305011
8305811
9305811
10342211
11373811
12373811
13373811
14389411
15389411
0389410
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
Symmetry

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.5%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify108.0ms (1.8%)

Memory
5.7MiB live, 52.5MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
01431
13831
214331
359131
4136931
5248031
6291931
7305031
8305831
9305831
10342231
11373831
12373831
13373831
14389431
15389431
0389429
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 x y)
x
y
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(*.f64 z z)
z
(+.f64 z #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z z) z)
(*.f64 z z)
z
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)

localize86.0ms (1.4%)

Memory
17.1MiB live, 112.7MiB allocated; 11ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z z)
accuracy0.0
(*.f64 x y)
accuracy0.046875
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy11.726642662088112
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Samples
25.0ms256×0valid
Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 14.0ms (81.4% of total)
ival-div: 1.0ms (5.8% of total)
ival-add: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory
0.1MiB live, 45.2MiB allocated; 4ms collecting garbage
Counts
4 → 17
Calls
Call 1
Inputs
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 x y)
(*.f64 z z)
Outputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
x
@inf
((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))
2.0ms
y
@-inf
((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))
2.0ms
x
@0
((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))
1.0ms
x
@-inf
((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))
1.0ms
z
@inf
((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z))

simplify153.0ms (2.6%)

Memory
-10.1MiB live, 270.6MiB allocated; 25ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062236
1207215
2857193
34522183
08208179
Stop Event
iter limit
node limit
Counts
17 → 17
Calls
Call 1
Inputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
Outputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))
(* x y)
(*.f64 y x)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 x z) (/.f64 y z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (neg.f64 z) (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (*.f64 y x)) (*.f64 z z))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (neg.f64 y) (/.f64 (-.f64 (/.f64 y z) y) z))) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (neg.f64 y) (/.f64 (-.f64 (/.f64 y z) y) z))) z)) (pow.f64 z #s(literal 3 binary64)))

rewrite201.0ms (3.4%)

Memory
1.7MiB live, 192.6MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
01424
15624
234324
3308724
0906022
Stop Event
iter limit
node limit
iter limit
Counts
4 → 253
Calls
Call 1
Inputs
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(*.f64 x y)
(*.f64 z z)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)))) (-.f64 (fma.f64 z z #s(literal -1 binary64)) z))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 z z))
(*.f64 (+.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (-.f64 (pow.f64 z #s(literal 3/2 binary64)) z))
(*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 z z))
(*.f64 (fma.f64 z z z) z)
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 z #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (*.f64 z z) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))))
(*.f64 (*.f64 (fma.f64 z z z) z) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z z) z))
(*.f64 (*.f64 z z) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)))
(*.f64 (*.f64 z z) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 z z) (-.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 z z) (+.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 z z) (-.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z))
(*.f64 z (fma.f64 z z z))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (fma.f64 z z z) z)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (fma.f64 z z z) z))) (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z z z) z)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z z z) z)))) (*.f64 (fma.f64 z z z) z))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))) (*.f64 z z)) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))) (*.f64 z z))) (*.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z)))) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))) (*.f64 z z)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z)))) (*.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))))) (*.f64 (*.f64 (*.f64 z z) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))))) (-.f64 (*.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z)))) (*.f64 (*.f64 z z) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (pow.f64 z #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))))) (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64)))))) (*.f64 (fma.f64 z z z) z))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (fma.f64 z z z) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z z z) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (fma.f64 z z z) z)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (fma.f64 z z z) z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z z z) z)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (fma.f64 z z z) z)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z z z) z))))))
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(fma.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(+.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)))
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z z))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 (*.f64 z z) #s(literal -1 binary64))
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 z z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(fabs.f64 (*.f64 z z))
(exp.f64 (/.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))

eval154.0ms (2.6%)

Memory
-34.0MiB live, 75.0MiB allocated; 123ms collecting garbage
Compiler

Compiled 6 093 to 764 computations (87.5% saved)

prune10.0ms (0.2%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New25511266
Fresh000
Picked011
Done000
Total25512267
Accuracy
100.0%
Counts
267 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal -1 binary64) z)) z)
95.6%
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
81.5%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
94.2%
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
81.5%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
70.8%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
87.4%
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
94.2%
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
4.6%
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))))
95.9%
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
79.8%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
75.8%
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)))
Compiler

Compiled 309 to 221 computations (28.5% saved)

simplify128.0ms (2.1%)

Memory
12.9MiB live, 57.7MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
023149
038149
178147
2169147
3489147
41068147
52273147
62818147
73095147
83173147
93200147
103210147
113589147
123905147
133905147
143905147
154120147
164216147
174216147
04216147
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(/.f64 y z)
y
z
(/.f64 x (fma.f64 z z z))
x
(fma.f64 z z z)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
x
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 y x)
y
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 x (fma.f64 z z z))
x
(fma.f64 z z z)
z
y
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(*.f64 x (/.f64 y (fma.f64 z z z)))
x
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z
Outputs
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 y z)
y
z
(/.f64 x (fma.f64 z z z))
x
(fma.f64 z z z)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
x
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 x (fma.f64 z z z))
x
(fma.f64 z z z)
z
y
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 x (/.f64 y (fma.f64 z z z)))
(*.f64 (/.f64 y (fma.f64 z z z)) x)
x
(/.f64 y (fma.f64 z z z))
y
(fma.f64 z z z)
z

localize104.0ms (1.7%)

Memory
-23.2MiB live, 120.7MiB allocated; 22ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 z z z)
accuracy1.831414800712395
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
accuracy4.421588133978352
(/.f64 y (fma.f64 z z z))
accuracy6.201156158653969
(*.f64 x (/.f64 y (fma.f64 z z z)))
accuracy0.0
(fma.f64 z z z)
accuracy0.1484375
(/.f64 (/.f64 x (fma.f64 z z z)) z)
accuracy0.7089315232383546
(/.f64 x (fma.f64 z z z))
accuracy3.6917552964024556
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
accuracy0.0
(fma.f64 z z z)
accuracy0.0
(*.f64 y x)
accuracy0.04296875
(*.f64 (fma.f64 z z z) z)
accuracy11.726642662088112
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
accuracy0.0
(*.f64 z z)
accuracy0.0
(*.f64 x y)
accuracy11.726642662088112
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy22.42985390873641
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0.0
(fma.f64 z z z)
accuracy0.0
(/.f64 y z)
accuracy0.7089315232383546
(/.f64 x (fma.f64 z z z))
accuracy1.9401417424159197
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
Samples
58.0ms256×0valid
Compiler

Compiled 157 to 23 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 21.0ms (52.8% of total)
ival-mult: 16.0ms (40.2% of total)
ival-add: 2.0ms (5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series47.0ms (0.8%)

Memory
0.5MiB live, 85.8MiB allocated; 27ms collecting garbage
Counts
16 → 66
Calls
Call 1
Inputs
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(/.f64 y z)
(/.f64 x (fma.f64 z z z))
(fma.f64 z z z)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 y x)
(*.f64 (fma.f64 z z z) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(*.f64 x (/.f64 y (fma.f64 z z z)))
(/.f64 y (fma.f64 z z z))
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x (+ z (pow z 2)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(/ x (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ y z)
(/ y (+ z (pow z 2)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
z
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/ (* x y) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/ y (pow z 2))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
y
@0
((* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)))
5.0ms
x
@0
((* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)))
4.0ms
x
@-inf
((* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)))
4.0ms
y
@-inf
((* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)))
3.0ms
x
@inf
((* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)))

simplify150.0ms (2.5%)

Memory
25.2MiB live, 310.9MiB allocated; 45ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0195916
1671809
22347732
08669714
Stop Event
iter limit
node limit
Counts
66 → 65
Calls
Call 1
Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x (+ z (pow z 2)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(/ x (* z (+ z (pow z 2))))
(/ (* x y) (+ z (pow z 2)))
(/ y z)
(/ y (+ z (pow z 2)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
z
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/ (* x y) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/ (+ y (* -1 (* y z))) z)
(/ (+ y (* z (- (* y z) y))) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/ y (pow z 2))
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ x (+ z (pow z 2)))
(/.f64 x (fma.f64 z z z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(* x y)
(*.f64 x y)
(/ x (* z (+ z (pow z 2))))
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/ (* x y) (+ z (pow z 2)))
(*.f64 y (/.f64 x (fma.f64 z z z)))
(/ y z)
(/.f64 y z)
(/ y (+ z (pow z 2)))
(/.f64 y (fma.f64 z z z))
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (-.f64 (*.f64 (/.f64 x z) y) (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) #s(literal 1 binary64))) z)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* z (- (* x z) x))) z)
(/.f64 (fma.f64 (-.f64 (*.f64 x z) x) z x) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z)
z
(* z (+ 1 z))
(fma.f64 z z z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(/ x (pow z 2))
(/.f64 (/.f64 x z) z)
(/ (+ x (* -1 (* x z))) (pow z 2))
(/.f64 (-.f64 (/.f64 x z) x) z)
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z) z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(*.f64 x (-.f64 (/.f64 y z) y))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(-.f64 (*.f64 (/.f64 x z) y) (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) #s(literal 1 binary64)))
(/ (+ y (* -1 (* y z))) z)
(-.f64 (/.f64 y z) y)
(/ (+ y (* z (- (* y z) y))) z)
(/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) z y) z (neg.f64 y)) z y) z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/.f64 (*.f64 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 x z)) z) z)
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) (*.f64 z z))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) z) x) z) z)
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(/ x (pow z 3))
(/.f64 x (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) z) x) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) (-.f64 x (/.f64 x z)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.f64 z z))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (*.f64 z z))
(/ y (pow z 2))
(/.f64 (/.f64 y z) z)
(/ (+ y (* -1 (/ y z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) z) z)
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (*.f64 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) (*.f64 z z))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) z) x) z) z)
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) z) x) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.f64 z z))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (*.f64 z z))
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z)
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) z) z)

rewrite186.0ms (3.1%)

Memory
-2.9MiB live, 241.0MiB allocated; 65ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023116
038116
1120114
2597114
36359114
08156114
Stop Event
iter limit
node limit
iter limit
Counts
16 → 823
Calls
Call 1
Inputs
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(/.f64 y z)
(/.f64 x (fma.f64 z z z))
(fma.f64 z z z)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 x y)
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(*.f64 y x)
(*.f64 (fma.f64 z z z) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 (/.f64 x (fma.f64 z z z)) z)
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(*.f64 x (/.f64 y (fma.f64 z z z)))
(/.f64 y (fma.f64 z z z))
Outputs
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x y) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 z z z))
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (neg.f64 x) (*.f64 z z)) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (neg.f64 x) (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (neg.f64 y) (*.f64 z z)) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 x (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) z) (/.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z))
(*.f64 (/.f64 (*.f64 x (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) z) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z))
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 z z)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 y) (*.f64 z z)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 y (*.f64 z z)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 y (*.f64 (fma.f64 z z z) z)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (*.f64 (fma.f64 z z z) z)))
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(/.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))))
(/.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) z)
(/.f64 (/.f64 y (+.f64 #s(literal -1 binary64) z)) z)
(/.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z))) z)
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (*.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)))
(/.f64 (*.f64 y (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (*.f64 y (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)))) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))))
(/.f64 (/.f64 y (fma.f64 z z z)) #s(literal 1 binary64))
(/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) z)
(/.f64 (neg.f64 y) (fma.f64 z z z))
(/.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) z))
(/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) z))
(/.f64 y (fma.f64 z z z))
(neg.f64 (/.f64 y (fma.f64 z z z)))
(fma.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64)) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z)))
(fma.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))))
(fma.f64 (*.f64 (fma.f64 z z z) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))))
(+.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))))
(+.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z)))

eval91.0ms (1.5%)

Memory
12.5MiB live, 203.0MiB allocated; 20ms collecting garbage
Compiler

Compiled 19 849 to 2 447 computations (87.7% saved)

prune29.0ms (0.5%)

Memory
-29.6MiB live, 69.5MiB allocated; 14ms collecting garbage
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New90911920
Fresh606
Picked145
Done011
Total91616932
Accuracy
100.0%
Counts
932 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.5%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
94.2%
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
57.0%
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
81.5%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
70.8%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
28.2%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
79.5%
(/.f64 #s(approx (* x (/ y (+ (* z z) z))) (*.f64 (/.f64 x z) y)) z)
83.7%
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
82.2%
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
70.8%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
95.9%
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
79.8%
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
85.6%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
76.4%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
52.7%
(*.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z)) y)
70.5%
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
Compiler

Compiled 386 to 269 computations (30.3% saved)

simplify135.0ms (2.2%)

Memory
30.1MiB live, 73.4MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
027192
043192
178187
2166187
3471187
41079187
52376187
62962187
73272187
83354187
93408187
103428187
113714187
123932187
133932187
143932187
154186187
164378187
174378187
04378187
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 (fma.f64 z z z) z))
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
y
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
x
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
y
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
(*.f64 x y)
x
y
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(/.f64 y z)
y
z
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(/.f64 x z)
x
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z)
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(/.f64 x z)
x
z
y
Outputs
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z)))
(/.f64 x (*.f64 (fma.f64 z z z) z))
x
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
y
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
x
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
y
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 (neg.f64 z) z)))
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 (neg.f64 z) z))
(neg.f64 (*.f64 z z))
(*.f64 (neg.f64 z) z)
(*.f64 z z)
z
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
y
z
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(/.f64 x z)
x
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) (/.f64 y z))
(/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z)
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(/.f64 x z)
x
z
y

localize86.0ms (1.4%)

Memory
2.3MiB live, 89.0MiB allocated; 22ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 x z)
accuracy0.1484375
(/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z)
accuracy3.6917552964024556
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
accuracy14.354787935944572
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
accuracy0.0
(/.f64 y z)
accuracy0.0
(/.f64 x z)
accuracy1.9401417424159197
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
accuracy14.354787935944572
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
accuracy0.0
(*.f64 x y)
accuracy0.0
(neg.f64 (*.f64 z z))
accuracy11.726642662088112
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
accuracy36.49372315200793
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
accuracy0.0
(*.f64 z z)
accuracy3.6917552964024556
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
accuracy7.6758433847933
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy22.42985390873641
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0.0
(fma.f64 z z z)
accuracy0.04296875
(*.f64 (fma.f64 z z z) z)
accuracy3.6917552964024556
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
accuracy7.6758433847933
(/.f64 x (*.f64 (fma.f64 z z z) z))
Samples
67.0ms256×0valid
Compiler

Compiled 161 to 24 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 32.0ms (61.8% of total)
ival-mult: 15.0ms (29% of total)
ival-add: 2.0ms (3.9% of total)
ival-neg: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series110.0ms (1.8%)

Memory
-11.8MiB live, 40.1MiB allocated; 23ms collecting garbage
Counts
18 → 50
Calls
Call 1
Inputs
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
(*.f64 x y)
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
(neg.f64 (*.f64 z z))
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(/.f64 y z)
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(/.f64 x z)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z)
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x (* z (+ z (pow z 2))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(* x y)
(/ x (+ z (pow z 2)))
(/ x z)
(/ y z)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
z
(* z (+ 1 z))
(* -1 (pow z 2))
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
Calls

9 calls:

TimeVariablePointExpression
90.0ms
y
@inf
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (/ x z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z))
6.0ms
x
@0
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (/ x z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z))
3.0ms
x
@-inf
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (/ x z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z))
3.0ms
x
@inf
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (/ x z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z))
2.0ms
y
@-inf
((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (* (/ y z) (/ x (+ (* z z) z))) (/ y z) (/ x (+ (* z z) z)) (/ x z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z))

simplify208.0ms (3.5%)

Memory
14.5MiB live, 206.9MiB allocated; 54ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153652
1535570
21938539
08265519
Stop Event
iter limit
node limit
Counts
50 → 49
Calls
Call 1
Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x (* z (+ z (pow z 2))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(* x y)
(/ x (+ z (pow z 2)))
(/ x z)
(/ y z)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ x (pow z 2))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
z
(* z (+ 1 z))
(* -1 (pow z 2))
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ x (* z (+ z (pow z 2))))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/ x (* (pow z 2) (+ 1 z)))
(/.f64 x (*.f64 (fma.f64 z z z) z))
(* x y)
(*.f64 y x)
(/ x (+ z (pow z 2)))
(/.f64 x (fma.f64 z z z))
(/ x z)
(/.f64 x z)
(/ y z)
(/.f64 y z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 y x (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (neg.f64 z))) (*.f64 z z))
(/ x (pow z 2))
(/.f64 (/.f64 x z) z)
(/ (+ x (* -1 (* x z))) (pow z 2))
(/.f64 (-.f64 (/.f64 x z) x) z)
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z) z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
z
(* z (+ 1 z))
(fma.f64 z z z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* z (- (* x z) x))) z)
(fma.f64 x (-.f64 z #s(literal 1 binary64)) (/.f64 x z))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z)
(/ (* x y) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (fma.f64 (/.f64 (/.f64 y z) z) (-.f64 x (/.f64 x z)) (*.f64 y (-.f64 x (/.f64 x z)))) (pow.f64 z #s(literal 3 binary64)))
(/ x (pow z 3))
(/.f64 x (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64)))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z z)
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z) z)
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) z) z)
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/.f64 (fma.f64 (/.f64 (/.f64 y z) z) (-.f64 x (/.f64 x z)) (*.f64 y (-.f64 x (/.f64 x z)))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (fma.f64 (/.f64 (/.f64 y z) z) (-.f64 x (/.f64 x z)) (*.f64 y (-.f64 x (/.f64 x z)))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z) z)
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) z) z)

rewrite222.0ms (3.7%)

Memory
-12.2MiB live, 177.6MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027161
043158
1117153
2545153
35390153
08455153
Stop Event
iter limit
node limit
iter limit
Counts
18 → 393
Calls
Call 1
Inputs
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(/.f64 x (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
(*.f64 x y)
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))
(neg.f64 (*.f64 z z))
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(/.f64 y z)
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(/.f64 x z)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z)
Outputs
(*.f64 (/.f64 (*.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y (/.f64 x z)) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (fma.f64 z z z))
(*.f64 (/.f64 (*.f64 y (/.f64 x z)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z))
(*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 y x) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (-.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 z z z))
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (*.f64 (fma.f64 z z z) z)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 z z)))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(*.f64 (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (*.f64 (fma.f64 z z z) (/.f64 y z)))
(*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 y z)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 y (*.f64 z z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(*.f64 (neg.f64 y) (/.f64 x (*.f64 (fma.f64 z z z) z)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 y (fma.f64 z z z)) z))
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z)))
(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z))
(/.f64 (/.f64 (*.f64 y (/.f64 x z)) z) (-.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 y x) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/.f64 (*.f64 (neg.f64 x) (/.f64 y (fma.f64 z z z))) z)
(/.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (fma.f64 z z z))
(/.f64 (*.f64 (neg.f64 y) (/.f64 x (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) (neg.f64 x)) z)
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 y)) z)
(/.f64 (*.f64 (/.f64 y z) (neg.f64 x)) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
(/.f64 (neg.f64 (*.f64 y (/.f64 x z))) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (neg.f64 y)) (*.f64 z z))
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) y) (*.f64 z z))
(/.f64 (*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 z z))
(/.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 z z))
(/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) #s(literal 1 binary64))
(neg.f64 (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x))
(*.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z))
(*.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (/.f64 (/.f64 x z) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 x z) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 x z) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (fma.f64 z z z))
(*.f64 (/.f64 (/.f64 x z) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z))
(*.f64 (/.f64 x (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 x (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
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(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(*.f64 y (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z))
(/.f64 (/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) #s(literal 1 binary64)) z)
(/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) (/.f64 y z)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))) z)
(/.f64 (*.f64 (neg.f64 y) #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) z)
(neg.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) (/.f64 y z)))
(/.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 y #s(literal 1 binary64)) z)
(/.f64 (neg.f64 y) z)
(/.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(neg.f64 (/.f64 y z))
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(neg.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))))
(/.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 x #s(literal 1 binary64)) z)
(/.f64 (neg.f64 x) z)
(/.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(neg.f64 (/.f64 x z))
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z))
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(*.f64 (neg.f64 y) (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z))
(*.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) (/.f64 y z))
(*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) (/.f64 y z))
(*.f64 (/.f64 y z) (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) #s(literal 1 binary64)))
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(*.f64 y (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z))
(/.f64 (/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) #s(literal 1 binary64)) z)
(/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) (/.f64 y z)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))) z)
(/.f64 (*.f64 (neg.f64 y) #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) z)
(neg.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) (/.f64 y z)))
(/.f64 (/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z)
(neg.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z))

eval47.0ms (0.8%)

Memory
26.6MiB live, 111.7MiB allocated; 15ms collecting garbage
Compiler

Compiled 8 068 to 1 424 computations (82.4% saved)

prune17.0ms (0.3%)

Memory
-1.3MiB live, 44.2MiB allocated; 4ms collecting garbage
Pruning

18 alts after pruning (8 fresh and 10 done)

PrunedKeptTotal
New4164420
Fresh246
Picked055
Done055
Total41818436
Accuracy
100.0%
Counts
436 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.5%
(/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) z)
81.5%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
94.2%
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
57.0%
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
81.5%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
70.8%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
28.2%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
30.7%
(*.f64 (/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) y)
83.7%
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
82.2%
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
70.8%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
95.9%
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
79.8%
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
85.6%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
76.4%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
30.7%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
13.9%
(*.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) y)
70.5%
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
Compiler

Compiled 379 to 265 computations (30.1% saved)

simplify118.0ms (2%)

Memory
12.3MiB live, 158.3MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))
cost-diff0
(*.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) y)
cost-diff1
(*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
cost-diff0
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
cost-diff0
(neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
cost-diff0
(/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
cost-diff0
(*.f64 (/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) y)
cost-diff0
(/.f64 y z)
cost-diff0
(/.f64 (/.f64 y z) z)
cost-diff0
(*.f64 (/.f64 (/.f64 y z) z) x)
cost-diff0
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff0
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff0
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
cost-diff0
(fma.f64 z z z)
cost-diff0
(*.f64 (fma.f64 z z z) z)
cost-diff0
(/.f64 y (*.f64 (fma.f64 z z z) z))
cost-diff0
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037235
060235
1116232
2323232
31157232
43083232
55886232
08073230
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 y (*.f64 (fma.f64 z z z) z))
y
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
x
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
x
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/.f64 (/.f64 y z) z)
(/.f64 y z)
y
z
x
(*.f64 (/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) y)
(/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(/.f64 x z)
x
z
y
(*.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) y)
(*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))
(neg.f64 x)
x
(fma.f64 z z (pow.f64 z #s(literal 5 binary64)))
z
(pow.f64 z #s(literal 5 binary64))
#s(literal 5 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
y
Outputs
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 x (/.f64 y (*.f64 (fma.f64 z z z) z)))
(/.f64 y (*.f64 (fma.f64 z z z) z))
y
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
z
x
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
y
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
x
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/.f64 (/.f64 y z) z)
(/.f64 y z)
y
z
x
(*.f64 (/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) y)
(*.f64 (/.f64 y (neg.f64 z)) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) (neg.f64 z))
(neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(/.f64 x z)
x
z
y
(*.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) y)
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64)) y) (/.f64 x (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64)) (/.f64 x (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))))
(/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))
(neg.f64 x)
x
(fma.f64 z z (pow.f64 z #s(literal 5 binary64)))
z
(pow.f64 z #s(literal 5 binary64))
#s(literal 5 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
y

localize126.0ms (2.1%)

Memory
-6.3MiB live, 223.3MiB allocated; 26ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 z z (pow.f64 z #s(literal 5 binary64)))
accuracy3.6956615464024556
(*.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) y)
accuracy7.632994529127353
(/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))
accuracy16.190817807938394
(*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
accuracy0.0
(neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
accuracy0.1484375
(/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
accuracy3.6917552964024556
(*.f64 (/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) y)
accuracy14.354787935944572
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
accuracy0.0
(/.f64 y z)
accuracy0.109375
(/.f64 (/.f64 y z) z)
accuracy8.268901219944711
(*.f64 (/.f64 (/.f64 y z) z) x)
accuracy12.567430660748867
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
accuracy0.0
(*.f64 z z)
accuracy5.021103820660985
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy7.775681437690744
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
accuracy22.42985390873641
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy0.0
(fma.f64 z z z)
accuracy0.04296875
(*.f64 (fma.f64 z z z) z)
accuracy5.021103820660985
(/.f64 y (*.f64 (fma.f64 z z z) z))
accuracy7.775681437690744
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
Samples
95.0ms256×0valid
Compiler

Compiled 217 to 34 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-add: 26.0ms (38.8% of total)
ival-mult: 20.0ms (29.8% of total)
ival-div: 12.0ms (17.9% of total)
ival-pow: 4.0ms (6% of total)
ival-neg: 2.0ms (3% of total)
ival-sub: 1.0ms (1.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series90.0ms (1.5%)

Memory
-10.2MiB live, 57.7MiB allocated; 16ms collecting garbage
Counts
21 → 117
Calls
Call 1
Inputs
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 y (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/.f64 (/.f64 y z) z)
(/.f64 y z)
(*.f64 (/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) y)
(/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) y)
(/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))
(neg.f64 x)
(fma.f64 z z (pow.f64 z #s(literal 5 binary64)))
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(* -1 (/ (* x y) (* z (+ z (pow z 2)))))
(* -1 (/ x (* z (+ z (pow z 2)))))
(* -1 (/ x (+ z (pow z 2))))
(/ x (+ z (pow z 2)))
(* -1 (/ (* x (+ 1 (* z (- 1 z)))) (+ (pow z 2) (pow z 5))))
(* -1 (/ (* x (* y (+ 1 (* z (- 1 z))))) (+ (pow z 2) (pow z 5))))
(* -1 (/ x (+ (pow z 2) (pow z 5))))
(* -1 x)
(/ y (* z (+ z (pow z 2))))
(/ y (* (pow z 2) (+ 1 z)))
(/ y (pow z 2))
(/ y z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
z
(* z (+ 1 z))
(* -1 (/ (* x y) (pow z 2)))
(/ (+ (* -1 (* x y)) (* x (* y z))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (+ (* -1 (* x (* y z))) (* x y)))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))))) (pow z 2))
(* -1 (/ x (pow z 2)))
(/ (+ (* -1 x) (* x z)) (pow z 2))
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2))
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2))
(* -1 (/ x z))
(/ (- (* x z) x) z)
(/ (- (* z (+ x (* -1 (* x z)))) x) z)
(/ (- (* z (+ x (* z (+ (* -1 x) (* x z))))) x) z)
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
(/ (+ (* -1 x) (* -1 (* x z))) (pow z 2))
(/ (+ (* -1 x) (* z (+ (* -1 x) (* x z)))) (pow z 2))
(/ (+ (* -1 x) (* z (+ (* -1 x) (* z (+ x (* x z)))))) (pow z 2))
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (+ (* -1 (* x y)) (* x (* y z))))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (+ (* -1 (* x y)) (* z (+ (* x y) (* x (* y z))))))) (pow z 2))
(/ (+ (* -1 x) (* x (pow z 3))) (pow z 2))
(/ (+ (* -1 x) (* (pow z 3) (+ x (* -1 (* x (pow z 3)))))) (pow z 2))
(/ (+ (* -1 x) (* (pow z 3) (+ x (* (pow z 3) (+ (* -1 x) (* x (pow z 3))))))) (pow z 2))
(* (pow z 2) (+ 1 (pow z 3)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y (pow z 3))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* -1 (/ (* x y) (pow z 3)))
(/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))
(/ (+ (* -1 (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (+ (* -1 (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (+ (/ (* x y) z) (/ (* x y) (pow z 3))))) (pow z 3))
(* -1 (/ x (pow z 3)))
(/ (+ (* -1 x) (/ x z)) (pow z 3))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3))))) (pow z 3))
(/ (- (/ x z) x) (pow z 2))
(/ (- (+ (* -1 (/ x (pow z 2))) (/ x z)) x) (pow z 2))
(/ (- (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3)))) x) (pow z 2))
(/ x (pow z 2))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (+ x (+ (* -1 (/ x z)) (* -1 (/ x (pow z 2))))) (pow z 3))
(/ (+ x (+ (* -1 (/ x z)) (+ (* -1 (/ x (pow z 2))) (* -1 (/ x (pow z 3)))))) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 2))) (* x y))) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (/ (* x y) (pow z 3))) (* x y)))) (pow z 3))
(* -1 (/ x (pow z 5)))
(/ (+ (* -1 x) (/ x (pow z 3))) (pow z 5))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 6))) (/ x (pow z 3)))) (pow z 5))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 6))) (+ (/ x (pow z 3)) (/ x (pow z 9))))) (pow z 5))
(pow z 5)
(* (pow z 5) (+ 1 (/ 1 (pow z 3))))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ x z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 3)))
(/ (- (* -1 (/ (+ (* -1 x) (/ x z)) z)) x) (pow z 2))
(/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z)) x) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x y) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ x (pow z 3)))) (pow z 5)))
(* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x (pow z 3)))) (pow z 3)))) (pow z 5)))
(* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x (pow z 3)))) (pow z 3)))) (pow z 3)))) (pow z 5)))
Calls

9 calls:

TimeVariablePointExpression
53.0ms
x
@-inf
((* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y z) (/ x (+ (* z z) z))) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (* (/ (neg (/ x (+ (* z z) z))) z) y) (/ (neg (/ x (+ (* z z) z))) z) (neg (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (* (/ (neg x) (+ (* z z) (pow z 5))) (+ (* (- 1 z) z) 1)) (* (* (/ (neg x) (+ (* z z) (pow z 5))) (+ (* (- 1 z) z) 1)) y) (/ (neg x) (+ (* z z) (pow z 5))) (neg x) (+ (* z z) (pow z 5)))
7.0ms
x
@0
((* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y z) (/ x (+ (* z z) z))) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (* (/ (neg (/ x (+ (* z z) z))) z) y) (/ (neg (/ x (+ (* z z) z))) z) (neg (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (* (/ (neg x) (+ (* z z) (pow z 5))) (+ (* (- 1 z) z) 1)) (* (* (/ (neg x) (+ (* z z) (pow z 5))) (+ (* (- 1 z) z) 1)) y) (/ (neg x) (+ (* z z) (pow z 5))) (neg x) (+ (* z z) (pow z 5)))
5.0ms
x
@inf
((* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y z) (/ x (+ (* z z) z))) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (* (/ (neg (/ x (+ (* z z) z))) z) y) (/ (neg (/ x (+ (* z z) z))) z) (neg (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (* (/ (neg x) (+ (* z z) (pow z 5))) (+ (* (- 1 z) z) 1)) (* (* (/ (neg x) (+ (* z z) (pow z 5))) (+ (* (- 1 z) z) 1)) y) (/ (neg x) (+ (* z z) (pow z 5))) (neg x) (+ (* z z) (pow z 5)))
5.0ms
y
@-inf
((* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y z) (/ x (+ (* z z) z))) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (* (/ (neg (/ x (+ (* z z) z))) z) y) (/ (neg (/ x (+ (* z z) z))) z) (neg (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (* (/ (neg x) (+ (* z z) (pow z 5))) (+ (* (- 1 z) z) 1)) (* (* (/ (neg x) (+ (* z z) (pow z 5))) (+ (* (- 1 z) z) 1)) y) (/ (neg x) (+ (* z z) (pow z 5))) (neg x) (+ (* z z) (pow z 5)))
4.0ms
y
@0
((* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y z) (/ x (+ (* z z) z))) (* (/ (/ y z) z) x) (/ (/ y z) z) (/ y z) (* (/ (neg (/ x (+ (* z z) z))) z) y) (/ (neg (/ x (+ (* z z) z))) z) (neg (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (* (/ (neg x) (+ (* z z) (pow z 5))) (+ (* (- 1 z) z) 1)) (* (* (/ (neg x) (+ (* z z) (pow z 5))) (+ (* (- 1 z) z) 1)) y) (/ (neg x) (+ (* z z) (pow z 5))) (neg x) (+ (* z z) (pow z 5)))

simplify184.0ms (3.1%)

Memory
9.8MiB live, 143.7MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03781740
113761536
255671489
083161446
Stop Event
iter limit
node limit
Counts
117 → 116
Calls
Call 1
Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(* -1 (/ (* x y) (* z (+ z (pow z 2)))))
(* -1 (/ x (* z (+ z (pow z 2)))))
(* -1 (/ x (+ z (pow z 2))))
(/ x (+ z (pow z 2)))
(* -1 (/ (* x (+ 1 (* z (- 1 z)))) (+ (pow z 2) (pow z 5))))
(* -1 (/ (* x (* y (+ 1 (* z (- 1 z))))) (+ (pow z 2) (pow z 5))))
(* -1 (/ x (+ (pow z 2) (pow z 5))))
(* -1 x)
(/ y (* z (+ z (pow z 2))))
(/ y (* (pow z 2) (+ 1 z)))
(/ y (pow z 2))
(/ y z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
z
(* z (+ 1 z))
(* -1 (/ (* x y) (pow z 2)))
(/ (+ (* -1 (* x y)) (* x (* y z))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (+ (* -1 (* x (* y z))) (* x y)))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))))) (pow z 2))
(* -1 (/ x (pow z 2)))
(/ (+ (* -1 x) (* x z)) (pow z 2))
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2))
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2))
(* -1 (/ x z))
(/ (- (* x z) x) z)
(/ (- (* z (+ x (* -1 (* x z)))) x) z)
(/ (- (* z (+ x (* z (+ (* -1 x) (* x z))))) x) z)
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
(/ (+ (* -1 x) (* -1 (* x z))) (pow z 2))
(/ (+ (* -1 x) (* z (+ (* -1 x) (* x z)))) (pow z 2))
(/ (+ (* -1 x) (* z (+ (* -1 x) (* z (+ x (* x z)))))) (pow z 2))
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (+ (* -1 (* x y)) (* x (* y z))))) (pow z 2))
(/ (+ (* -1 (* x y)) (* z (+ (* -1 (* x y)) (* z (+ (* x y) (* x (* y z))))))) (pow z 2))
(/ (+ (* -1 x) (* x (pow z 3))) (pow z 2))
(/ (+ (* -1 x) (* (pow z 3) (+ x (* -1 (* x (pow z 3)))))) (pow z 2))
(/ (+ (* -1 x) (* (pow z 3) (+ x (* (pow z 3) (+ (* -1 x) (* x (pow z 3))))))) (pow z 2))
(* (pow z 2) (+ 1 (pow z 3)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y (pow z 3))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* -1 (/ (* x y) (pow z 3)))
(/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))
(/ (+ (* -1 (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (+ (* -1 (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (+ (/ (* x y) z) (/ (* x y) (pow z 3))))) (pow z 3))
(* -1 (/ x (pow z 3)))
(/ (+ (* -1 x) (/ x z)) (pow z 3))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3))))) (pow z 3))
(/ (- (/ x z) x) (pow z 2))
(/ (- (+ (* -1 (/ x (pow z 2))) (/ x z)) x) (pow z 2))
(/ (- (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3)))) x) (pow z 2))
(/ x (pow z 2))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (+ x (+ (* -1 (/ x z)) (* -1 (/ x (pow z 2))))) (pow z 3))
(/ (+ x (+ (* -1 (/ x z)) (+ (* -1 (/ x (pow z 2))) (* -1 (/ x (pow z 3)))))) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 2))) (* x y))) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (/ (* x y) (pow z 3))) (* x y)))) (pow z 3))
(* -1 (/ x (pow z 5)))
(/ (+ (* -1 x) (/ x (pow z 3))) (pow z 5))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 6))) (/ x (pow z 3)))) (pow z 5))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 6))) (+ (/ x (pow z 3)) (/ x (pow z 9))))) (pow z 5))
(pow z 5)
(* (pow z 5) (+ 1 (/ 1 (pow z 3))))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ x z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 3)))
(/ (- (* -1 (/ (+ (* -1 x) (/ x z)) z)) x) (pow z 2))
(/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z)) x) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x y) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ x (pow z 3)))) (pow z 5)))
(* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x (pow z 3)))) (pow z 3)))) (pow z 5)))
(* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x (pow z 3)))) (pow z 3)))) (pow z 3)))) (pow z 5)))
Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(/ (* x y) (pow z 2))
(*.f64 (/.f64 x z) (/.f64 y z))
(* -1 (/ (* x y) (* z (+ z (pow z 2)))))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 (neg.f64 x) z))
(* -1 (/ x (* z (+ z (pow z 2)))))
(/.f64 (/.f64 (neg.f64 x) z) (fma.f64 z z z))
(* -1 (/ x (+ z (pow z 2))))
(/.f64 (neg.f64 x) (fma.f64 z z z))
(/ x (+ z (pow z 2)))
(/.f64 x (fma.f64 z z z))
(* -1 (/ (* x (+ 1 (* z (- 1 z)))) (+ (pow z 2) (pow z 5))))
(*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 x (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))))
(* -1 (/ (* x (* y (+ 1 (* z (- 1 z))))) (+ (pow z 2) (pow z 5))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) y)) (/.f64 x (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))))
(* -1 (/ x (+ (pow z 2) (pow z 5))))
(/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))
(* -1 x)
(neg.f64 x)
(/ y (* z (+ z (pow z 2))))
(/.f64 y (*.f64 (fma.f64 z z z) z))
(/ y (* (pow z 2) (+ 1 z)))
(/.f64 y (*.f64 (fma.f64 z z z) z))
(/ y (pow z 2))
(/.f64 (/.f64 y z) z)
(/ y z)
(/.f64 y z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (*.f64 (-.f64 y (*.f64 z y)) x) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z y) y) x) z (*.f64 x y)) z) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 x z) (-.f64 y (*.f64 z y)) (*.f64 (neg.f64 x) y)) z (*.f64 x y)) (*.f64 z z))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/.f64 (/.f64 (-.f64 y (*.f64 z y)) z) z)
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 y (*.f64 z y)) z) y) z y) z) z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
z
(* z (+ 1 z))
(fma.f64 z z z)
(* -1 (/ (* x y) (pow z 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) z) x)
(/ (+ (* -1 (* x y)) (* x (* y z))) (pow z 2))
(*.f64 (/.f64 x z) (/.f64 (-.f64 (*.f64 z y) y) z))
(/ (+ (* -1 (* x y)) (* z (+ (* -1 (* x (* y z))) (* x y)))) (pow z 2))
(/.f64 (fma.f64 (*.f64 x z) (-.f64 y (*.f64 z y)) (*.f64 (neg.f64 x) y)) (*.f64 z z))
(/ (+ (* -1 (* x y)) (* z (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z y) y) x) z (*.f64 x y)) z (*.f64 (neg.f64 x) y)) z) z)
(* -1 (/ x (pow z 2)))
(/.f64 (/.f64 (neg.f64 x) z) z)
(/ (+ (* -1 x) (* x z)) (pow z 2))
(/.f64 (/.f64 (fma.f64 x z (neg.f64 x)) z) z)
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z) z)
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 x z (neg.f64 x)) z x) z (neg.f64 x)) z) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(/ (- (* x z) x) z)
(/.f64 (fma.f64 x z (neg.f64 x)) z)
(/ (- (* z (+ x (* -1 (* x z)))) x) z)
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z)
(/ (- (* z (+ x (* z (+ (* -1 x) (* x z))))) x) z)
(/.f64 (fma.f64 (fma.f64 (fma.f64 x z (neg.f64 x)) z x) z (neg.f64 x)) z)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x z))) z)
(/.f64 (fma.f64 (neg.f64 x) z x) z)
(/ (+ x (* z (- (* x z) x))) z)
(/.f64 (fma.f64 (fma.f64 x z (neg.f64 x)) z x) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z)
(/ (+ (* -1 x) (* -1 (* x z))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 x z x)) (*.f64 z z))
(/ (+ (* -1 x) (* z (+ (* -1 x) (* x z)))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 x z (neg.f64 x)) z (neg.f64 x)) z) z)
(/ (+ (* -1 x) (* z (+ (* -1 x) (* z (+ x (* x z)))))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 x z x) z (neg.f64 x)) z (neg.f64 x)) z) z)
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2))
(/.f64 (*.f64 (fma.f64 z y y) (neg.f64 x)) (*.f64 z z))
(/ (+ (* -1 (* x y)) (* z (+ (* -1 (* x y)) (* x (* y z))))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z y) y) x) z (*.f64 (neg.f64 x) y)) z) z)
(/ (+ (* -1 (* x y)) (* z (+ (* -1 (* x y)) (* z (+ (* x y) (* x (* y z))))))) (pow z 2))
(/.f64 (fma.f64 (neg.f64 (fma.f64 z y y)) x (*.f64 (*.f64 (*.f64 (fma.f64 z y y) x) z) z)) (*.f64 z z))
(/ (+ (* -1 x) (* x (pow z 3))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) x (neg.f64 x)) z) z)
(/ (+ (* -1 x) (* (pow z 3) (+ x (* -1 (* x (pow z 3)))))) (pow z 2))
(/.f64 (fma.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 x) x) (pow.f64 z #s(literal 3 binary64)) (neg.f64 x)) (*.f64 z z))
(/ (+ (* -1 x) (* (pow z 3) (+ x (* (pow z 3) (+ (* -1 x) (* x (pow z 3))))))) (pow z 2))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) x (neg.f64 x)) (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 z #s(literal 3 binary64)) (neg.f64 x)) (*.f64 z z))
(* (pow z 2) (+ 1 (pow z 3)))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) z (*.f64 z z))
(/ (* x y) (pow z 3))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/.f64 (*.f64 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 y z) y) z) (*.f64 x y)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (fma.f64 x y (/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 y z) y) z) (*.f64 x y)) (neg.f64 z))) (pow.f64 z #s(literal 3 binary64)))
(/ y (pow z 3))
(/.f64 y (pow.f64 z #s(literal 3 binary64)))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) (pow.f64 z #s(literal 3 binary64)))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(/.f64 (-.f64 (-.f64 y (/.f64 (/.f64 (-.f64 (/.f64 y z) y) z) z)) (/.f64 y z)) (pow.f64 z #s(literal 3 binary64)))
(pow z 3)
(pow.f64 z #s(literal 3 binary64))
(* (pow z 3) (+ 1 (/ 1 z)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))
(* (pow z 2) (+ 1 (/ 1 z)))
(fma.f64 z z (/.f64 (*.f64 z z) z))
(* -1 (/ (* x y) (pow z 3)))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (neg.f64 x))
(/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))
(/.f64 (*.f64 x (-.f64 (/.f64 y z) y)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 y z) y) z) (*.f64 x y)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))
(/ (+ (* -1 (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (+ (/ (* x y) z) (/ (* x y) (pow z 3))))) (pow z 3))
(/.f64 (fma.f64 (neg.f64 y) x (/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 y z) y) z) (*.f64 x y)) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ x (pow z 3)))
(/.f64 (neg.f64 x) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 x) (/ x z)) (pow z 3))
(/.f64 (-.f64 (/.f64 x z) x) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3))))) (pow z 3))
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) x) (pow.f64 z #s(literal 3 binary64)))
(/ (- (/ x z) x) (pow z 2))
(/.f64 (/.f64 (-.f64 (/.f64 x z) x) z) z)
(/ (- (+ (* -1 (/ x (pow z 2))) (/ x z)) x) (pow z 2))
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) (*.f64 z z))
(/ (- (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3)))) x) (pow z 2))
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) x) z) z)
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 x z)) z) z)
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) z)
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) z) z)
(/ x (pow z 3))
(/.f64 x (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (+ (* -1 (/ x z)) (* -1 (/ x (pow z 2))))) (pow z 3))
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 x z) x) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ x (+ (* -1 (/ x z)) (+ (* -1 (/ x (pow z 2))) (* -1 (/ x (pow z 3)))))) (pow z 3))
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 2))) (* x y))) (pow z 3))
(/.f64 (fma.f64 x y (/.f64 (*.f64 (neg.f64 x) (+.f64 (/.f64 y z) y)) z)) (pow.f64 z #s(literal 3 binary64)))
(/ (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 2))) (+ (* -1 (/ (* x y) (pow z 3))) (* x y)))) (pow z 3))
(/.f64 (fma.f64 x y (/.f64 (neg.f64 (fma.f64 x y (/.f64 (*.f64 x (+.f64 (/.f64 y z) y)) z))) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ x (pow z 5)))
(/.f64 (neg.f64 x) (pow.f64 z #s(literal 5 binary64)))
(/ (+ (* -1 x) (/ x (pow z 3))) (pow z 5))
(/.f64 (-.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) x) (pow.f64 z #s(literal 5 binary64)))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 6))) (/ x (pow z 3)))) (pow z 5))
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64))) x) (pow.f64 z #s(literal 5 binary64)))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 6))) (+ (/ x (pow z 3)) (/ x (pow z 9))))) (pow z 5))
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64))) (/.f64 x (pow.f64 z #s(literal 9 binary64)))) x) (pow.f64 z #s(literal 5 binary64)))
(pow z 5)
(pow.f64 z #s(literal 5 binary64))
(* (pow z 5) (+ 1 (/ 1 (pow z 3))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 z #s(literal 5 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (*.f64 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 y z) y) z) (*.f64 x y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(/.f64 (fma.f64 x y (/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 y z) y) z) (*.f64 x y)) (neg.f64 z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3)))
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) (pow z 3)))
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) z))) (pow z 3)))
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 y z) y) z) (*.f64 x y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (fma.f64 x y (/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 y z) y) z) (*.f64 x y)) (neg.f64 z))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3)))
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3)))
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)))
(/.f64 (*.f64 x (-.f64 (/.f64 y z) y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 3)))
(/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 y z) y) z) (*.f64 x y)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 3)))
(/.f64 (fma.f64 (neg.f64 y) x (/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 y z) y) z) (*.f64 x y)) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ x (* -1 (/ x z))) (pow z 3)))
(/.f64 (-.f64 (/.f64 x z) x) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 3)))
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 3)))
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) x) (pow.f64 z #s(literal 3 binary64)))
(/ (- (* -1 (/ (+ (* -1 x) (/ x z)) z)) x) (pow z 2))
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) z) x) (*.f64 z z))
(/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z)) x) (pow z 2))
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) x) z) z)
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z) z)
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(/.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) z) z)
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) (pow z 3)))
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 x z) x) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) z))) (pow z 3)))
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) z))) (pow z 3)))
(/.f64 (fma.f64 x y (/.f64 (*.f64 (neg.f64 x) (+.f64 (/.f64 y z) y)) z)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x y) (/ (* x y) z)) z))) z))) (pow z 3)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (/.f64 (neg.f64 (fma.f64 x y (/.f64 (*.f64 x (+.f64 (/.f64 y z) y)) z))) z)) (pow.f64 z #s(literal 3 binary64))))
(* -1 (/ (+ x (* -1 (/ x (pow z 3)))) (pow z 5)))
(/.f64 (-.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) x) (pow.f64 z #s(literal 5 binary64)))
(* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x (pow z 3)))) (pow z 3)))) (pow z 5)))
(/.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) x) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 5 binary64)))
(* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x (pow z 3)))) (pow z 3)))) (pow z 3)))) (pow z 5)))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (pow.f64 z #s(literal 5 binary64))))

rewrite282.0ms (4.7%)

Memory
-29.1MiB live, 157.4MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037203
060203
1192200
21230200
08918198
Stop Event
iter limit
node limit
iter limit
Counts
21 → 825
Calls
Call 1
Inputs
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(/.f64 y (*.f64 (fma.f64 z z z) z))
(*.f64 (fma.f64 z z z) z)
(fma.f64 z z z)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 (/.f64 y z) z) x)
(/.f64 (/.f64 y z) z)
(/.f64 y z)
(*.f64 (/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) y)
(/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z)
(neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) y)
(/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))
(neg.f64 x)
(fma.f64 z z (pow.f64 z #s(literal 5 binary64)))
Outputs
(*.f64 (/.f64 (/.f64 y z) (neg.f64 (-.f64 #s(literal 1 binary64) z))) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 y) (*.f64 z z)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 y) z) z))
(*.f64 (/.f64 (neg.f64 x) (*.f64 z z)) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (neg.f64 y) (fma.f64 z z z)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 y (neg.f64 (fma.f64 z z z))) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (*.f64 (fma.f64 z z z) z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) (/.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 y z) x) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (fma.f64 z z z))
(*.f64 (/.f64 (*.f64 (/.f64 y z) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 z z)))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 z z z)) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 y) (fma.f64 z z z)))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (neg.f64 (fma.f64 z z z))))
(*.f64 (/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 x (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 x) (fma.f64 z z z)))
(*.f64 (/.f64 x z) (/.f64 (/.f64 y (fma.f64 z z z)) #s(literal 1 binary64)))
(*.f64 (/.f64 x z) (/.f64 (neg.f64 y) (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 x z) (/.f64 (/.f64 y z) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y z) (/.f64 (/.f64 x (fma.f64 z z z)) #s(literal 1 binary64)))
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(*.f64 x (/.f64 y (*.f64 (fma.f64 z z z) z)))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 y (/.f64 (/.f64 x (fma.f64 z z z)) z))
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z)))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 y z) x) (-.f64 #s(literal 1 binary64) z))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (/.f64 x (fma.f64 z z z)))) (neg.f64 (neg.f64 z)))
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(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 z (pow.f64 z #s(literal 5/2 binary64)))) (/.f64 z (-.f64 z (pow.f64 z #s(literal 5/2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64))) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 5 binary64)))))
(fma.f64 (/.f64 (neg.f64 z) (+.f64 (neg.f64 z) (pow.f64 z #s(literal 5/2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (neg.f64 z) (pow.f64 z #s(literal 5/2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64))) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 5 binary64)))))
(fma.f64 (/.f64 (neg.f64 z) (+.f64 z (pow.f64 z #s(literal 5/2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 z (pow.f64 z #s(literal 5/2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64))) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 5 binary64)))))
(fma.f64 (/.f64 (*.f64 z z) (+.f64 (neg.f64 z) (pow.f64 z #s(literal 5/2 binary64)))) (/.f64 (*.f64 z z) (-.f64 (neg.f64 z) (pow.f64 z #s(literal 5/2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64))) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 5 binary64)))))
(fma.f64 (/.f64 (*.f64 z z) (+.f64 z (pow.f64 z #s(literal 5/2 binary64)))) (/.f64 (*.f64 z z) (-.f64 z (pow.f64 z #s(literal 5/2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64))) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 5 binary64)))))
(fma.f64 (/.f64 z (+.f64 (neg.f64 z) (pow.f64 z #s(literal 5/2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (neg.f64 z) (pow.f64 z #s(literal 5/2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64))) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 5 binary64)))))
(fma.f64 (/.f64 z (+.f64 z (pow.f64 z #s(literal 5/2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 z (pow.f64 z #s(literal 5/2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64))) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 5 binary64)))))
(fma.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 5/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 z #s(literal 5/2 binary64)))) (*.f64 z z))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) (pow.f64 z #s(literal 5 binary64)))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z))) z (pow.f64 z #s(literal 5 binary64)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 5/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 5/2 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 z)) #s(literal 5/2 binary64)) (pow.f64 (neg.f64 (neg.f64 z)) #s(literal 5/2 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 5/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) #s(literal 5/2 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 5/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 5/2 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64)) (pow.f64 z #s(literal 5 binary64)) (*.f64 z z))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 z) (pow.f64 z #s(literal 5 binary64)))
(fma.f64 (neg.f64 (pow.f64 z #s(literal 5/2 binary64))) (neg.f64 (pow.f64 z #s(literal 5/2 binary64))) (*.f64 z z))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (pow.f64 z #s(literal 5 binary64)))
(fma.f64 (pow.f64 z #s(literal 5/2 binary64)) (pow.f64 z #s(literal 5/2 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z) (*.f64 z z))
(fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 z #s(literal 5 binary64)))
(fma.f64 (neg.f64 z) (neg.f64 z) (pow.f64 z #s(literal 5 binary64)))
(fma.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 z z))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)) (*.f64 z z))
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (pow.f64 z #s(literal 5 binary64)))
(fma.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))
(fma.f64 z (fabs.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64))) (pow.f64 z #s(literal 5 binary64)))
(fma.f64 z z (pow.f64 z #s(literal 5 binary64)))
(-.f64 (/.f64 (pow.f64 z #s(literal 10 binary64)) (-.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 z z))))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 10 binary64)) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 5 binary64)))))
(-.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z))) (neg.f64 z)))
(-.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 z))))
(-.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (*.f64 (neg.f64 z) #s(literal 1 binary64))))
(-.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 z z)))
(-.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 (neg.f64 (*.f64 z z)) #s(literal 1 binary64)))
(-.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(-.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 (neg.f64 z) z))
(-.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 z (neg.f64 z)))
(-.f64 (*.f64 z z) (*.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 5/2 binary64)))) (neg.f64 (pow.f64 z #s(literal 5/2 binary64)))))
(-.f64 (*.f64 z z) (*.f64 (neg.f64 (pow.f64 z #s(literal 5/2 binary64))) (pow.f64 z #s(literal 5/2 binary64))))
(+.f64 (/.f64 (pow.f64 z #s(literal 15 binary64)) (+.f64 (pow.f64 z #s(literal 10 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 10 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 10 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))))) (/.f64 (pow.f64 z #s(literal 15 binary64)) (+.f64 (pow.f64 z #s(literal 10 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))))))
(+.f64 (/.f64 (pow.f64 z #s(literal 15 binary64)) (-.f64 (-.f64 (pow.f64 z #s(literal 10 binary64)) (pow.f64 z #s(literal 7 binary64))) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 z #s(literal 10 binary64)) (pow.f64 z #s(literal 7 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 z #s(literal 10 binary64)) (pow.f64 z #s(literal 7 binary64))) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 15 binary64)) (-.f64 (-.f64 (pow.f64 z #s(literal 10 binary64)) (pow.f64 z #s(literal 7 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 5 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64))) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 5 binary64)))))
(+.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 z z))
(+.f64 (*.f64 z z) (pow.f64 z #s(literal 5 binary64)))

eval163.0ms (2.7%)

Memory
2.3MiB live, 144.9MiB allocated; 17ms collecting garbage
Compiler

Compiled 23 939 to 3 403 computations (85.8% saved)

prune35.0ms (0.6%)

Memory
16.2MiB live, 63.1MiB allocated; 4ms collecting garbage
Pruning

18 alts after pruning (4 fresh and 14 done)

PrunedKeptTotal
New9201921
Fresh033
Picked145
Done01010
Total92118939
Accuracy
100.0%
Counts
939 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.5%
(/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) z)
81.5%
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
94.2%
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
57.0%
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
81.5%
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
70.8%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
28.2%
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
30.7%
(*.f64 (/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) y)
83.7%
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
82.2%
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
70.8%
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
95.9%
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
79.8%
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
85.6%
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
76.4%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
30.7%
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
29.5%
(*.f64 (*.f64 (/.f64 (neg.f64 x) #s(approx (+ (* z z) (pow z 5)) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) y)
70.5%
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
Compiler

Compiled 671 to 295 computations (56% saved)

regimes45.0ms (0.8%)

Memory
12.5MiB live, 68.4MiB allocated; 6ms collecting garbage
Counts
28 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (* x (/ y (+ (* z z) z))) (*.f64 (/.f64 x z) y)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) z)
(*.f64 (/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) y)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)))
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z)
(/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal -1 binary64) z)) z)
(*.f64 (*.f64 (/.f64 (neg.f64 x) #s(approx (+ (* z z) (pow z 5)) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) y)
(*.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) y)
(*.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z)) y)
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))))
Outputs
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
Calls

6 calls:

10.0ms
x
7.0ms
y
7.0ms
z
7.0ms
(*.f64 x y)
6.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
95.9%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
97.6%2(*.f64 x y)
95.9%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
95.9%1x
97.6%2y
95.9%1z
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes23.0ms (0.4%)

Memory
-19.0MiB live, 27.0MiB allocated; 2ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (* x (/ y (+ (* z z) z))) (*.f64 (/.f64 x z) y)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) z)
(*.f64 (/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) y)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)))
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x)
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z)
Outputs
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
Calls

3 calls:

10.0ms
(*.f64 x y)
6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
95.9%1x
95.9%1(*.f64 x y)
95.9%1y
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes39.0ms (0.7%)

Memory
-1.1MiB live, 46.0MiB allocated; 2ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
(/.f64 #s(approx (* x (/ y (+ (* z z) z))) (*.f64 (/.f64 x z) y)) z)
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z))
(/.f64 (*.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) y) z)
(*.f64 (/.f64 (neg.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) y)
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)))
Outputs
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y)
Calls

6 calls:

16.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
5.0ms
x
5.0ms
y
5.0ms
z
5.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
94.0%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
92.8%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
90.9%2y
93.8%3z
91.9%2(*.f64 x y)
91.8%2x
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes9.0ms (0.2%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Counts
10 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
Outputs
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)
Calls

3 calls:

3.0ms
z
3.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
3.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
93.5%3z
93.5%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
91.8%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
Compiler

Compiled 19 to 19 computations (0% saved)

regimes12.0ms (0.2%)

Memory
-24.5MiB live, 20.2MiB allocated; 4ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
(*.f64 (/.f64 y z) #s(approx (/ x (+ (* z z) z)) (/.f64 x z)))
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)
Calls

3 calls:

6.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
3.0ms
z
3.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
91.9%2(*.f64 x y)
93.0%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
93.0%3z
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes14.0ms (0.2%)

Memory
30.8MiB live, 30.8MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
Calls

6 calls:

2.0ms
x
2.0ms
z
2.0ms
y
2.0ms
(*.f64 x y)
2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
83.8%2y
84.5%3(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
84.5%3z
82.6%2(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
83.4%2x
83.8%2(*.f64 x y)
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes41.0ms (0.7%)

Memory
-37.7MiB live, 25.7MiB allocated; 59ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
Outputs
#s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
Calls

6 calls:

30.0ms
x
2.0ms
y
2.0ms
z
2.0ms
(*.f64 x y)
2.0ms
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
76.4%1(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
76.4%1z
76.4%1(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))
76.4%1x
78.3%2(*.f64 x y)
78.3%2y
Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes4.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Accuracy

Total -31.4b remaining (-207.6%)

Threshold costs -31.4b (-207.6%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y)
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))))
Outputs
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
Calls

2 calls:

2.0ms
y
2.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
76.4%1y
76.4%1(*.f64 x y)
Compiler

Compiled 4 to 7 computations (-75% saved)

bsearch5.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
8.95992508913923e+32
4.8679536432388425e+35
Samples
3.0ms48×0valid
Compiler

Compiled 74 to 63 computations (14.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (68.9% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.401322212032176e+287
4.0141609031920404e+288
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.797311273194151e-30
2.466684665194799e-29
0.0ms
-24831922.267711814
0.0
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.488136860193914e-130
1.7065897719575455e-125
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch10.0ms (0.2%)

Memory
-31.3MiB live, 16.5MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
9.0ms
8.786206670502225e+124
1.1364169702371145e+126
Samples
6.0ms80×0valid
Compiler

Compiled 184 to 145 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (75% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.902468035e-315
4.9794287847634e-311
Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify52.0ms (0.9%)

Memory
-5.0MiB live, 41.6MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062251
196251
2218251
3674251
41544251
52414251
62946251
72946251
82946251
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 19999999999999998911504619740856320 binary64)) (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)))
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 400000000000000030100869409976074877445708321930334554077017758825409737206186284010156430558648479695756883670206108565604167872688822358708085150775448815662555547897148796286418616285067076396904284847591865362947530011643961381737414214722809013353714546701858739397230872077367508992 binary64)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -20000000 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 (*.f64 x y) #s(literal 1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(if (<=.f64 y #s(literal 150000000000000007518504905039598129497545404789921988221344287100353095654696726248146724981290195772321495840197954097905664 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(if (<=.f64 (*.f64 x y) #s(literal 2024022533/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x)) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)
Outputs
(if (<=.f64 y #s(literal 19999999999999998911504619740856320 binary64)) (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)))
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 400000000000000030100869409976074877445708321930334554077017758825409737206186284010156430558648479695756883670206108565604167872688822358708085150775448815662555547897148796286418616285067076396904284847591865362947530011643961381737414214722809013353714546701858739397230872077367508992 binary64)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y))
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -20000000 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (or (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -20000000 binary64)) (not (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)))) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) #s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 x z) (/.f64 y z))))
(if (<=.f64 (*.f64 x y) #s(literal 1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(if (<=.f64 (*.f64 x y) #s(literal 1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) #s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(if (<=.f64 y #s(literal 150000000000000007518504905039598129497545404789921988221344287100353095654696726248146724981290195772321495840197954097905664 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(if (<=.f64 y #s(literal 150000000000000007518504905039598129497545404789921988221344287100353095654696726248146724981290195772321495840197954097905664 binary64)) #s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(if (<=.f64 (*.f64 x y) #s(literal 2024022533/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (/ y z) (/ x (+ (* z z) z))) (*.f64 (/.f64 (/.f64 y z) z) x)) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)

derivations764.0ms (12.7%)

Memory
48.4MiB live, 753.0MiB allocated; 169ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023116
038116
1120114
2597114
36359114
08156114
062236
1207215
2857193
34522183
08208179
0924
01424
15624
234324
3308724
0906022
0195916
1671809
22347732
08669714
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 251 to 62 computations (75.3% saved)

preprocess209.0ms (3.5%)

Memory
2.5MiB live, 280.2MiB allocated; 50ms collecting garbage
Compiler

Compiled 720 to 254 computations (64.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...