Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B

Time bar (total: 4.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 15 to 15 computations (0% saved)

sample1.2s (26.2%)

Memory
20.3MiB live, 930.1MiB allocated
Samples
808.0ms8 251×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 508.0ms
ival-div: 178.0ms (35% of total)
ival-mult: 125.0ms (24.6% of total)
ival-sub: 122.0ms (24% of total)
ival-add: 65.0ms (12.8% of total)
exact: 10.0ms (2% of total)
ival-true: 6.0ms (1.2% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain164.0ms (3.6%)

Memory
-10.0MiB live, 229.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (*.f64 y z) #s(literal 2 binary64))
00-0-#s(literal 8 binary64)
00-0-t
00-0-#s(literal 1 binary64)
00-0-z
00-0-#s(literal 2 binary64)
00-0-y
00-0-(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
00-0-(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
00-0-(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
00-0-(*.f64 y z)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
42.0ms512×0valid
Compiler

Compiled 158 to 56 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 6.0ms (32.6% of total)
ival-mult: 6.0ms (32.6% of total)
ival-sub: 2.0ms (10.9% of total)
ival-add: 2.0ms (10.9% of total)
exact: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess137.0ms (3%)

Memory
-10.5MiB live, 103.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058164
1164155
2405154
31055154
42247154
53062154
63271154
73296154
83303154
93303154
103305154
113311154
01311
02011
13111
25711
310811
418911
531511
648811
767711
883711
983911
08399
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Outputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 x #s(literal 1/8 binary64) t))
Symmetry

(sort y z)

Compiler

Compiled 13 to 13 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Compiler

Compiled 13 to 13 computations (0% saved)

simplify35.0ms (0.8%)

Memory
-16.0MiB live, 42.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
cost-diff128
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
cost-diff384
(/.f64 (*.f64 y z) #s(literal 2 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
02039
13139
25739
310839
418939
531539
648839
767739
883739
983939
083936
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 y z)
y
z
#s(literal 2 binary64)
t
Outputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 x #s(literal 1/8 binary64) t))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(*.f64 x #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal 2 binary64)
t

localize31.0ms (0.7%)

Memory
7.8MiB live, 46.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
accuracy0.0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
accuracy0.0
(*.f64 y z)
accuracy0.0078125
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
Samples
20.0ms256×0valid
Compiler

Compiled 96 to 28 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (32.4% of total)
ival-mult: 3.0ms (32.4% of total)
ival-sub: 1.0ms (10.8% of total)
ival-add: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series35.0ms (0.8%)

Memory
-18.3MiB live, 20.2MiB allocated
Counts
6 → 25
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* 1/2 (* y z))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
Calls

12 calls:

TimeVariablePointExpression
26.0ms
t
@0
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms
y
@-inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms
x
@inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms
x
@-inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms
z
@-inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))

simplify117.0ms (2.5%)

Memory
20.0MiB live, 173.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087211
1241211
2685211
31969211
45270211
08232181
Stop Event
iter limit
node limit
Counts
25 → 24
Calls
Call 1
Inputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* 1/2 (* y z))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
Outputs
(- t (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* 1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* y z)
(*.f64 z y)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))

rewrite218.0ms (4.7%)

Memory
18.1MiB live, 259.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
02032
16532
250332
3648932
0844329
Stop Event
iter limit
node limit
iter limit
Counts
6 → 277
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
Outputs
#s(literal 1/8 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) z)
(*.f64 (neg.f64 y) (*.f64 z #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64)))
(*.f64 (neg.f64 z) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) y)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z y))
(*.f64 (*.f64 (neg.f64 y) z) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 1 binary64))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(*.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(*.f64 z (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(*.f64 z (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) z))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 z y)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 y) z) #s(literal -2 binary64))
(/.f64 (*.f64 z y) #s(literal 2 binary64))
(/.f64 y (/.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z y)))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 t (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) t) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 t (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) t)))
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(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (neg.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (neg.f64 y) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) z) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 (*.f64 x #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/64 binary64) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal -1 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (/.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64))))
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1 binary64) z) y)
(*.f64 (*.f64 #s(literal 1 binary64) y) z)
(*.f64 (neg.f64 (neg.f64 y)) z)
(*.f64 (neg.f64 (neg.f64 z)) y)
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) z))
(*.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 z (*.f64 y #s(literal 1 binary64)))
(*.f64 z (neg.f64 (neg.f64 y)))
(*.f64 z y)
(*.f64 y (*.f64 z #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y z)
(*.f64 #s(literal 1 binary64) (*.f64 z y))
(neg.f64 (*.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) z))
(*.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64)))

eval53.0ms (1.1%)

Memory
2.3MiB live, 77.7MiB allocated
Compiler

Compiled 8 398 to 883 computations (89.5% saved)

prune6.0ms (0.1%)

Memory
-20.4MiB live, 17.2MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2823285
Fresh000
Picked101
Done000
Total2833286
Accuracy
100.0%
Counts
286 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
77.4%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
61.4%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
Compiler

Compiled 47 to 42 computations (10.6% saved)

simplify35.0ms (0.8%)

Memory
-5.1MiB live, 42.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal 1/8 binary64) t)
cost-diff0
(*.f64 z #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
cost-diff0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
cost-diff0
(fma.f64 #s(literal 1/8 binary64) x t)
cost-diff0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02376
03276
15774
28874
314074
422172
537072
654672
773272
889272
989472
089472
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
t
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
y
(fma.f64 x #s(literal 1/8 binary64) t)
x
#s(literal 1/8 binary64)
t
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 #s(literal 1/8 binary64) x t)
(fma.f64 x #s(literal 1/8 binary64) t)
#s(literal 1/8 binary64)
x
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
t
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
z
#s(literal -1/2 binary64)
y
(fma.f64 x #s(literal 1/8 binary64) t)
x
#s(literal 1/8 binary64)
t

localize58.0ms (1.3%)

Memory
5.1MiB live, 82.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
accuracy0.0
(fma.f64 x #s(literal 1/8 binary64) t)
accuracy0.0
(*.f64 z #s(literal -1/2 binary64))
accuracy0.0
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
accuracy0.0
(*.f64 #s(literal -1/2 binary64) y)
accuracy14.473287909792202
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
accuracy0.0
(fma.f64 #s(literal 1/8 binary64) x t)
accuracy24.700981130496565
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
Samples
47.0ms256×0valid
Compiler

Compiled 155 to 50 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sub: 13.0ms (38.9% of total)
ival-mult: 11.0ms (32.9% of total)
ival-add: 5.0ms (14.9% of total)
ival-div: 3.0ms (9% of total)
exact: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
8 → 38
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(*.f64 #s(literal -1/2 binary64) y)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 z #s(literal -1/2 binary64))
(fma.f64 x #s(literal 1/8 binary64) t)
Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(+ t (* 1/8 x))
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1/2 y)
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1/2 z)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (/ t z)))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
Calls

12 calls:

TimeVariablePointExpression
2.0ms
t
@0
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) t) (* -1/2 y) (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t))
1.0ms
y
@inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) t) (* -1/2 y) (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t))
1.0ms
y
@-inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) t) (* -1/2 y) (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t))
1.0ms
z
@-inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) t) (* -1/2 y) (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t))
1.0ms
z
@inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) t) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) t) (* -1/2 y) (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (* z -1/2) (+ (* x 1/8) t))

simplify109.0ms (2.4%)

Memory
13.9MiB live, 130.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125312
1389312
21080312
32817312
46059312
08153261
Stop Event
iter limit
node limit
Counts
38 → 37
Calls
Call 1
Inputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(+ t (* 1/8 x))
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1/2 y)
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1/2 z)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (/ t z)))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
Outputs
(- t (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
t
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (* -1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* x (+ 1/8 (/ t x)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* y (+ (* -1/2 z) (/ t y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* z (+ (* -1/2 y) (/ t z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 #s(literal 1/8 binary64) x t)
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))

rewrite396.0ms (8.6%)

Memory
-148.1MiB live, 396.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02363
03263
113959
298659
0846459
Stop Event
iter limit
node limit
iter limit
Counts
8 → 340
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(*.f64 #s(literal -1/2 binary64) y)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 z #s(literal -1/2 binary64))
(fma.f64 x #s(literal 1/8 binary64) t)
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 (fma.f64 t t (*.f64 #s(literal -1/64 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x t))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))) (*.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))) (+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (fma.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))))
(/.f64 (neg.f64 (fma.f64 t t (*.f64 #s(literal -1/64 binary64) (*.f64 x x)))) (neg.f64 (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) (*.f64 t t))) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) #s(literal 2 binary64)))
(/.f64 (fma.f64 t t (*.f64 #s(literal -1/64 binary64) (*.f64 x x))) (-.f64 t (*.f64 x #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x t))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x t)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t (*.f64 x #s(literal 1/8 binary64))) (fma.f64 t t (*.f64 #s(literal -1/64 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x t)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64) t)
(fma.f64 x #s(literal 1/8 binary64) t)
(fma.f64 #s(literal 1/8 binary64) x t)
(-.f64 (/.f64 (*.f64 t t) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(+.f64 t (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
(*.f64 (fma.f64 t t (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t)) (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z y) t))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (fma.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))))
(/.f64 (neg.f64 (fma.f64 t t (*.f64 #s(literal -1/64 binary64) (*.f64 x x)))) (neg.f64 (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) (*.f64 t t))) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) #s(literal 2 binary64)))
(/.f64 (fma.f64 t t (*.f64 #s(literal -1/64 binary64) (*.f64 x x))) (-.f64 t (*.f64 x #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x t))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x t)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t (*.f64 x #s(literal 1/8 binary64))) (fma.f64 t t (*.f64 #s(literal -1/64 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x t)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64) t)
(fma.f64 x #s(literal 1/8 binary64) t)
(fma.f64 #s(literal 1/8 binary64) x t)
(-.f64 (/.f64 (*.f64 t t) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(+.f64 t (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) t)

eval88.0ms (1.9%)

Memory
-9.8MiB live, 82.3MiB allocated
Compiler

Compiled 10 312 to 967 computations (90.6% saved)

prune9.0ms (0.2%)

Memory
-13.5MiB live, 24.4MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3143317
Fresh000
Picked033
Done000
Total3146320
Accuracy
100.0%
Counts
320 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
62.1%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)))
77.4%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
61.4%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
23.3%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
40.6%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Compiler

Compiled 105 to 94 computations (10.5% saved)

simplify27.0ms (0.6%)

Memory
-1.1MiB live, 37.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/8 binary64) x)
cost-diff0
(*.f64 #s(literal -1/2 binary64) z)
cost-diff0
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
cost-diff0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)))
cost-diff0
(*.f64 #s(literal 1/8 binary64) x)
cost-diff0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
cost-diff0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02387
02987
14587
27787
312887
420984
534384
651984
770284
886284
986484
086481
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
x
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
x

localize48.0ms (1%)

Memory
4.6MiB live, 86.4MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
accuracy0.0
(*.f64 #s(literal 1/8 binary64) x)
accuracy0.0
(*.f64 #s(literal -1/2 binary64) z)
accuracy24.24585003099508
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)))
accuracy0.0
(*.f64 #s(literal 1/8 binary64) x)
accuracy49.06237123628703
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
accuracy0.0
(*.f64 z y)
accuracy0.0
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
accuracy38.01738171912036
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Samples
36.0ms256×0valid
Compiler

Compiled 170 to 46 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 10.0ms (57.9% of total)
ival-div: 3.0ms (17.4% of total)
ival-add: 2.0ms (11.6% of total)
ival-sub: 1.0ms (5.8% of total)
exact: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series107.0ms (2.3%)

Memory
-25.0MiB live, 13.7MiB allocated
Counts
8 → 25
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(*.f64 z y)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal -1/2 binary64) z)
Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1/2 z)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
Calls

12 calls:

TimeVariablePointExpression
100.0ms
t
@-inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* -1/2 z))
1.0ms
z
@-inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* -1/2 z))
1.0ms
z
@inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* -1/2 z))
1.0ms
y
@-inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* -1/2 z))
1.0ms
z
@0
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) (* 1/8 x)) (* -1/2 z))

simplify150.0ms (3.3%)

Memory
38.2MiB live, 156.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087209
1262209
2776209
32105209
45566209
08224179
Stop Event
iter limit
node limit
Counts
25 → 24
Calls
Call 1
Inputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1/2 z)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
Outputs
(- t (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* y z)
(*.f64 z y)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))

rewrite268.0ms (5.8%)

Memory
-25.8MiB live, 292.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02374
02974
19071
270471
0866168
Stop Event
iter limit
node limit
iter limit
Counts
8 → 145
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(*.f64 z y)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal -1/2 binary64) z)
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(*.f64 (*.f64 y #s(literal -1/2 binary64)) z)
(*.f64 (neg.f64 y) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) z))
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) y)
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
(*.f64 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(*.f64 z (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 z (*.f64 #s(literal -1/2 binary64) y))
(*.f64 z (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 z y)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z))
(/.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z y)))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))))))
(/.f64 (*.f64 (neg.f64 y) z) #s(literal 2 binary64))
(/.f64 (*.f64 z y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 z y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 z y)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(*.f64 (*.f64 #s(literal 1 binary64) z) y)
(*.f64 (*.f64 #s(literal 1 binary64) y) z)
(*.f64 (neg.f64 (neg.f64 y)) z)
(*.f64 (neg.f64 (neg.f64 z)) y)
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) z))
(*.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 z (*.f64 y #s(literal 1 binary64)))
(*.f64 z (neg.f64 (neg.f64 y)))
(*.f64 z y)
(*.f64 y (*.f64 z #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y z)
(*.f64 #s(literal 1 binary64) (*.f64 z y))
(neg.f64 (*.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) z))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/8 binary64) x)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 x x) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 4 binary64))) (pow.f64 (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 4 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 4 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 9 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))) #s(literal -1 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 9 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 6 binary64))) (pow.f64 (*.f64 x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))))) (+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)))))
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(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(*.f64 (neg.f64 z) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 z #s(literal -1/2 binary64))
(/.f64 (neg.f64 (neg.f64 z)) #s(literal -2 binary64))
(/.f64 (neg.f64 z) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) z))
(/.f64 z #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) z)))
(neg.f64 (*.f64 z #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/2 binary64)))

eval21.0ms (0.5%)

Memory
0.3MiB live, 35.0MiB allocated
Compiler

Compiled 5 364 to 535 computations (90% saved)

prune8.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1590159
Fresh000
Picked033
Done033
Total1596165
Accuracy
100.0%
Counts
165 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
62.1%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)))
77.4%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
61.4%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
23.3%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
40.6%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Compiler

Compiled 223 to 134 computations (39.9% saved)

regimes29.0ms (0.6%)

Memory
17.3MiB live, 54.4MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
Calls

9 calls:

6.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
3.0ms
t
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
100.0%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
100.0%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
100.0%1(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes115.0ms (2.5%)

Memory
-11.8MiB live, 38.6MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
Calls

9 calls:

96.0ms
(*.f64 y z)
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms
t
2.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
2.0ms
x
Results
AccuracySegmentsBranch
88.6%3x
89.2%3y
86.6%3z
88.4%3t
77.4%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
87.7%4(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
88.6%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
93.4%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
93.4%3(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes11.0ms (0.2%)

Memory
-23.2MiB live, 14.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Calls

3 calls:

7.0ms
(*.f64 y z)
2.0ms
y
2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
82.3%3y
88.9%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
88.9%3(*.f64 y z)
Compiler

Compiled 9 to 16 computations (-77.8% saved)

regimes17.0ms (0.4%)

Memory
-0.3MiB live, 36.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
Calls

9 calls:

4.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
2.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
2.0ms
t
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms
z
Results
AccuracySegmentsBranch
61.4%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
61.4%1y
61.4%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
61.4%1z
61.4%1t
61.4%1x
61.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
61.4%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
61.4%1(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes13.0ms (0.3%)

Memory
10.6MiB live, 47.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
Calls

9 calls:

3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms
z
1.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
1.0ms
(*.f64 y z)
1.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
23.3%1x
23.3%1z
23.3%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
23.3%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
23.3%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
23.3%1y
23.3%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
23.3%1(*.f64 y z)
23.3%1t
Compiler

Compiled 41 to 61 computations (-48.8% saved)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.6314312755902144e-36
1.5004096065550592e-30
0.0ms
-8.570526605511849e+44
-2.561179927189388e+43
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.435360395136771e+114
1.0779411159198824e+116
0.0ms
-6.232251067651448e+101
-1.6094884474183067e+101
Compiler

Compiled 16 to 20 computations (-25% saved)

simplify95.0ms (2.1%)

Memory
-14.1MiB live, 32.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041133
158133
283133
3136133
4229133
5397133
6676133
72291133
86688133
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(if (<=.f64 (*.f64 y z) #s(literal -499999999999999964878644512267775609965379584 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) (if (<=.f64 (*.f64 y z) #s(literal 2993155353253689/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))))
(if (<=.f64 (*.f64 y z) #s(literal -499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 y z) #s(literal 10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(if (<=.f64 (*.f64 y z) #s(literal -499999999999999964878644512267775609965379584 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) (if (<=.f64 (*.f64 y z) #s(literal 2993155353253689/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))))
(if (or (<=.f64 (*.f64 y z) #s(literal -499999999999999964878644512267775609965379584 binary64)) (not (<=.f64 (*.f64 y z) #s(literal 2993155353253689/1496577676626844588240573268701473812127674924007424 binary64)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 (*.f64 y z) #s(literal -499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 y z) #s(literal 10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(if (or (<=.f64 (*.f64 y z) #s(literal -499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) (not (<=.f64 (*.f64 y z) #s(literal 10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400 binary64)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

soundness922.0ms (20%)

Memory
5.1MiB live, 317.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087211
1241211
2685211
31969211
45270211
08232181
0125312
1389312
21080312
32817312
46059312
08153261
01332
02032
16532
250332
3648932
0844329
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 192 to 106 computations (44.8% saved)

preprocess63.0ms (1.4%)

Memory
21.5MiB live, 57.3MiB allocated
Remove

(sort y z)

Compiler

Compiled 356 to 152 computations (57.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...