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

Time bar (total: 3.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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)

sample715.0ms (23%)

Memory
295.5MiB live, 295.5MiB allocated
Samples
453.0ms8 255×0valid
0.0ms3valid
Precisions
Click to see histograms. Total time spent on operations: 272.0ms
ival-div: 97.0ms (35.7% of total)
ival-mult: 88.0ms (32.4% of total)
ival-sub: 34.0ms (12.5% of total)
ival-add: 33.0ms (12.1% of total)
exact: 10.0ms (3.7% of total)
ival-true: 6.0ms (2.2% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain138.0ms (4.4%)

Memory
81.1MiB live, 81.1MiB 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
36.0ms510×0valid
0.0ms2valid
Compiler

Compiled 205 to 88 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 6.0ms (33.6% of total)
ival-mult: 6.0ms (33.6% of total)
ival-add: 2.0ms (11.2% of total)
ival-sub: 2.0ms (11.2% of total)
exact: 1.0ms (5.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess129.0ms (4.2%)

Memory
8.8MiB live, 8.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058164
1164155
2405154
31042154
42188154
52948154
63153154
73176154
83183154
93183154
103185154
113191154
01311
02011
13111
25711
310811
418911
531511
648611
766611
879811
980011
08009
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

simplify21.0ms (0.7%)

Memory
2.5MiB live, 2.5MiB 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
648639
766639
879839
980039
080036
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

localize24.0ms (0.8%)

Memory
11.6MiB live, 11.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y z)
accuracy0.0078125
(/.f64 (*.f64 y z) #s(literal 2 binary64))
accuracy0.0078125
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
accuracy0.01953125
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
Samples
17.0ms255×0valid
0.0ms2valid
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 (34.9% of total)
ival-mult: 3.0ms (34.9% of total)
ival-add: 1.0ms (11.6% of total)
ival-sub: 1.0ms (11.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
5 → 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)
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
1.0ms
z
@0
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z))
1.0ms
y
@0
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z))
1.0ms
z
@-inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z))
1.0ms
y
@-inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z))
1.0ms
z
@inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z))

simplify97.0ms (3.1%)

Memory
25.6MiB live, 25.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087211
1241211
2633211
31916211
45135211
08111181
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))

rewrite143.0ms (4.6%)

Memory
51.3MiB live, 51.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
02029
16529
250329
3646929
0800426
Stop Event
iter limit
node limit
iter limit
Counts
5 → 275
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)
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 #s(literal 1/64 binary64) (/.f64 (*.f64 x 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 (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 (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 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 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)))
(+.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))

eval29.0ms (0.9%)

Memory
25.3MiB live, 25.3MiB allocated
Compiler

Compiled 8 434 to 868 computations (89.7% saved)

prune5.0ms (0.2%)

Memory
11.7MiB live, 11.7MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2785283
Fresh000
Picked101
Done000
Total2795284
Accuracy
100.0%
Counts
284 → 5
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))
100.0%
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t))
68.8%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
64.7%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
31.3%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
Compiler

Compiled 146 to 134 computations (8.2% saved)

simplify22.0ms (0.7%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
027120
039120
170117
298117
3150117
4231114
5381114
6538114
7715114
8845114
9847114
0847114
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(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
#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 #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 x #s(literal 1/8 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t))
x
#s(literal 1/8 binary64)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
y
t
Outputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x 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)
(fma.f64 #s(literal 1/8 binary64) x t)
x
#s(literal 1/8 binary64)
t
#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 #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))
#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)
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
y
z
t
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x t))
x
#s(literal 1/8 binary64)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
z
#s(literal -1/2 binary64)
y
t

localize49.0ms (1.6%)

Memory
24.6MiB live, 24.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
accuracy0
(*.f64 z #s(literal -1/2 binary64))
accuracy0.01171875
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t))
accuracy0
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy19.97612694710038
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
accuracy0
(fma.f64 #s(literal 1/8 binary64) x t)
accuracy22.560354311481017
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
accuracy0
(*.f64 #s(literal 1/8 binary64) x)
accuracy43.97732363715134
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
accuracy0
(fma.f64 x #s(literal 1/8 binary64) t)
accuracy0
(*.f64 z #s(literal -1/2 binary64))
accuracy0.00390625
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
Samples
36.0ms256×0valid
Compiler

Compiled 246 to 56 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 11.0ms (49.9% of total)
ival-add: 7.0ms (31.8% of total)
ival-div: 3.0ms (13.6% of total)
ival-sub: 1.0ms (4.5% of total)
exact: 1.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.3%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
12 → 38
Calls
Call 1
Inputs
(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)
#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 #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 x #s(literal 1/8 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
Outputs
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(+ t (* 1/8 x))
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (/ t x)))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) 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 (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (/ t y)))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1/2 z)
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (/ t z)))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(+ (* -1/2 (* y z)) (* 1/8 x))
(- (* 1/8 x) (* 1/2 (* y z)))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
Calls

12 calls:

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

simplify99.0ms (3.2%)

Memory
22.6MiB live, 22.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125312
1389312
21035312
32758312
45721312
57931312
08116261
Stop Event
iter limit
node limit
Counts
38 → 37
Calls
Call 1
Inputs
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(+ t (* 1/8 x))
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (/ t x)))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) 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 (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (/ t y)))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1/2 z)
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (/ t z)))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(+ (* -1/2 (* y z)) (* 1/8 x))
(- (* 1/8 x) (* 1/2 (* y z)))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
Outputs
(+ 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))
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 (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* 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))
(* x (+ 1/8 (/ t x)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* 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))
(* -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 y z))
(* 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))
(* 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)
(* -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 (* 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)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* 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))
(* 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)
(* -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 (* 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)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
(* 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))
(* t (+ 1 (* 1/8 (/ x t))))
(fma.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) z) y (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)
(* -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))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(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 (- (* 1/2 (/ (* y z) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)

rewrite135.0ms (4.4%)

Memory
60.5MiB live, 60.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02796
03996
117390
2118490
0833790
Stop Event
iter limit
node limit
iter limit
Counts
12 → 618
Calls
Call 1
Inputs
(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)
#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 #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 x #s(literal 1/8 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z)) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z)) t))))
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(*.f64 (-.f64 (*.f64 t t) (pow.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t) (*.f64 #s(literal 1/8 binary64) x))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z)) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z)) t) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z)) t))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (fma.f64 #s(literal 1/8 binary64) x t)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x t) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z)))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) t)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (-.f64 t (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 #s(literal 1/8 binary64) x))) (pow.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) t))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t) (-.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t) (*.f64 #s(literal 1/8 binary64) x)))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (*.f64 t t)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) t)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) t) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal -1 binary64)))
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(fma.f64 (pow.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) t) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) t))))
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64) t)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) t)
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) t)
(fma.f64 y (neg.f64 (*.f64 z #s(literal 1/2 binary64))) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) t)
(-.f64 (/.f64 (*.f64 t t) (-.f64 t (*.f64 (*.f64 y #s(literal -1/2 binary64)) z))) (/.f64 (pow.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 2 binary64)) (-.f64 t (*.f64 (*.f64 y #s(literal -1/2 binary64)) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) t)))
(-.f64 t (*.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) t)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) t))))
(+.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) z) t)
(+.f64 t (*.f64 (*.f64 y #s(literal -1/2 binary64)) z))

eval42.0ms (1.4%)

Memory
28.7MiB live, 28.7MiB allocated
Compiler

Compiled 10 698 to 1 002 computations (90.6% saved)

prune12.0ms (0.4%)

Memory
13.2MiB live, 13.2MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3272329
Fresh000
Picked145
Done000
Total3286334
Accuracy
100.0%
Counts
334 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t))
66.4%
#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)))
68.8%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
64.7%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
31.3%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
36.6%
#s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
Compiler

Compiled 103 to 92 computations (10.7% saved)

simplify22.0ms (0.7%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 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 y z)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
cost-diff0
#s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02767
03366
16166
29566
314866
422965
537865
653665
771365
884565
984765
084763
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
#s(literal -1/2 binary64)
(*.f64 y z)
y
z
#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 (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y z) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 y z)
y
z
#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 y #s(literal -1/2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.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

localize52.0ms (1.7%)

Memory
19.7MiB live, 19.7MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 1/8 binary64) x)
accuracy0
(*.f64 #s(literal -1/2 binary64) z)
accuracy0.00390625
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
accuracy21.510226650579014
#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
(*.f64 y z)
accuracy0.0078125
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
accuracy40.571693872970506
#s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
Samples
38.0ms255×0valid
0.0ms2valid
Compiler

Compiled 126 to 56 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 14.0ms (55.1% of total)
ival-add: 5.0ms (19.7% of total)
ival-div: 3.0ms (11.8% of total)
ival-sub: 1.0ms (3.9% of total)
exact: 1.0ms (3.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.3%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
7 → 34
Calls
Call 1
Inputs
#s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(*.f64 y z)
#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)
(*.f64 #s(literal 1/8 binary64) x)
Outputs
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/8 x)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t 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 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+ t (* 1/8 x))
(* y z)
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* 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 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1/2 z)
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t 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 (/ (+ 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 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
Calls

12 calls:

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

simplify100.0ms (3.2%)

Memory
24.1MiB live, 24.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115304
1350304
2940304
32486304
46136304
08276257
Stop Event
iter limit
node limit
Counts
34 → 33
Calls
Call 1
Inputs
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/8 x)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t 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 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+ t (* 1/8 x))
(* y z)
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* 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 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1/2 z)
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t 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 (/ (+ 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 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
Outputs
(+ t (* -1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(- t (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(*.f64 (*.f64 y z) #s(literal -1/2 binary64))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(* y z)
(*.f64 y z)
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
t
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) 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 y #s(literal -1/2 binary64)) z (fma.f64 #s(literal 1/8 binary64) x t))

rewrite144.0ms (4.6%)

Memory
48.5MiB live, 48.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02759
03358
113757
2101957
0817255
Stop Event
iter limit
node limit
iter limit
Counts
7 → 99
Calls
Call 1
Inputs
#s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(*.f64 y z)
#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)
(*.f64 #s(literal 1/8 binary64) x)
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(*.f64 (neg.f64 y) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(*.f64 (*.f64 y #s(literal -1/2 binary64)) 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 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(*.f64 (*.f64 y z) #s(literal -1/2 binary64))
(*.f64 y (neg.f64 (*.f64 z #s(literal 1/2 binary64))))
(*.f64 y (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(*.f64 z (*.f64 y #s(literal -1/2 binary64)))
(pow.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z))) #s(literal -1 binary64))
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(fma.f64 (neg.f64 y) (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (neg.f64 (*.f64 (neg.f64 y) z)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)))))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 #s(literal -1/8 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 #s(literal -1/8 binary64) x)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)))))))
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(fma.f64 y (neg.f64 (*.f64 z #s(literal 1/2 binary64))) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 #s(literal -1/8 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))))))
(-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 #s(literal -1/8 binary64) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 #s(literal -1/8 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)))))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))

eval15.0ms (0.5%)

Memory
10.0MiB live, 10.0MiB allocated
Compiler

Compiled 3 791 to 362 computations (90.5% saved)

prune9.0ms (0.3%)

Memory
6.8MiB live, 6.8MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1100110
Fresh000
Picked022
Done044
Total1106116
Accuracy
100.0%
Counts
116 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t))
66.4%
#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)))
68.8%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
64.7%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
31.3%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
36.6%
#s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
Compiler

Compiled 228 to 140 computations (38.6% saved)

regimes34.0ms (1.1%)

Memory
18.0MiB live, 18.0MiB allocated
Counts
8 → 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 (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
#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 x #s(literal 1/8 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t))
(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:

4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
4.0ms
t
4.0ms
x
4.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
4.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
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)

regimes29.0ms (0.9%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
6 → 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 (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
#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 x #s(literal 1/8 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t))
Outputs
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t))
Calls

9 calls:

3.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
3.0ms
x
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms
t
3.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
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)

regimes27.0ms (0.9%)

Memory
16.3MiB live, 16.3MiB 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 (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
#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 (*.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 #s(literal 1/8 binary64) x t))
Calls

9 calls:

3.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms
y
3.0ms
t
3.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Results
AccuracySegmentsBranch
85.1%3x
86.6%3y
84.5%3z
90.4%3t
84.3%6(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
83.9%3(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
85.1%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
90.2%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
90.2%3(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes8.0ms (0.3%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
4 → 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 (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
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

3 calls:

3.0ms
t
3.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
89.3%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
89.3%3(*.f64 y z)
73.2%2t
Compiler

Compiled 9 to 16 computations (-77.8% saved)

regimes7.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB 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 (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
Outputs
#s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
Calls

3 calls:

2.0ms
y
2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
81.9%3y
86.3%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
86.3%3(*.f64 y z)
Compiler

Compiled 9 to 16 computations (-77.8% saved)

regimes19.0ms (0.6%)

Memory
13.9MiB live, 13.9MiB 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:

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
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms
x
Results
AccuracySegmentsBranch
64.7%1t
64.7%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
64.7%1y
64.7%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
64.7%1z
64.7%1x
64.7%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
64.7%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
64.7%1(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes16.0ms (0.5%)

Memory
13.3MiB live, 13.3MiB 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:

2.0ms
y
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
(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
Results
AccuracySegmentsBranch
31.3%1z
31.3%1t
31.3%1y
31.3%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
31.3%1x
31.3%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
31.3%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
31.3%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
31.3%1(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

bsearch32.0ms (1%)

Memory
10.2MiB live, 10.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
8.75476090228904e-15
9.647091435871392e-7
12.0ms
-3.1669713230230285e+92
-7.482026722160597e+90
Samples
18.0ms256×0valid
Compiler

Compiled 670 to 619 computations (7.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 3.0ms (29.3% of total)
ival-mult: 3.0ms (29.3% of total)
ival-sub: 1.0ms (9.8% of total)
ival-add: 1.0ms (9.8% of total)
exact: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.7434891132043035e+26
6.200946512266911e+36
0.0ms
-1.7246393994291458e+100
-2.737770068214348e+95
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch30.0ms (1%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
4.6689882377360627e+95
2.69415828084423e+98
13.0ms
-1.7246393994291458e+100
-2.737770068214348e+95
Samples
16.0ms256×0valid
Compiler

Compiled 544 to 532 computations (2.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (35.9% of total)
ival-mult: 2.0ms (23.9% of total)
ival-sub: 1.0ms (12% of total)
ival-add: 1.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify30.0ms (1%)

Memory
18.9MiB live, 18.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056237
164237
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t))
(if (<=.f64 t #s(literal -7999999999999999731872901723711200398601488740961004023837396778473438043499033845492088832 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) (if (<=.f64 t #s(literal 1851167661284901/18889465931478580854784 binary64)) #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 #s(literal 1/8 binary64) x t))))
(if (<=.f64 (*.f64 y z) #s(literal -10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 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 1000000000000000013287555072 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 -16000000000000000797786463550542288272164295767015394425198286889791814385588893046151344245702656 binary64)) #s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) (if (<=.f64 (*.f64 y z) #s(literal 150000000000000007242105897028310384324066895517976487452737010996566384712086740259462762800873472 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))))
#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))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t))
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(if (<=.f64 t #s(literal -7999999999999999731872901723711200398601488740961004023837396778473438043499033845492088832 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) (if (<=.f64 t #s(literal 1851167661284901/18889465931478580854784 binary64)) #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 #s(literal 1/8 binary64) x t))))
(if (<=.f64 t #s(literal -7999999999999999731872901723711200398601488740961004023837396778473438043499033845492088832 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)) (if (<=.f64 t #s(literal 1851167661284901/18889465931478580854784 binary64)) #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 #s(literal 1/8 binary64) x t))))
(if (<=.f64 (*.f64 y z) #s(literal -10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 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 1000000000000000013287555072 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 -10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)) (if (<=.f64 (*.f64 y z) #s(literal 1000000000000000013287555072 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 y #s(literal -1/2 binary64)) z t))))
(if (<=.f64 (*.f64 y z) #s(literal -16000000000000000797786463550542288272164295767015394425198286889791814385588893046151344245702656 binary64)) #s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) (if (<=.f64 (*.f64 y z) #s(literal 150000000000000007242105897028310384324066895517976487452737010996566384712086740259462762800873472 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))))
(if (<=.f64 (*.f64 y z) #s(literal -16000000000000000797786463550542288272164295767015394425198286889791814385588893046151344245702656 binary64)) #s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 150000000000000007242105897028310384324066895517976487452737010996566384712086740259462762800873472 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (* (* z -1/2) y) (+ (* x 1/8) t)) (*.f64 (*.f64 y z) #s(literal -1/2 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 1/8 binary64) x))

soundness784.0ms (25.2%)

Memory
5.3MiB live, 5.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125312
1389312
21035312
32758312
45721312
57931312
08116261
087211
1241211
2633211
31916211
45135211
08111181
01329
02029
16529
250329
3646929
0800426
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 350 to 167 computations (52.3% saved)

preprocess63.0ms (2%)

Memory
31.6MiB live, 31.6MiB allocated
Remove

(sort y z)

Compiler

Compiled 612 to 216 computations (64.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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