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

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.2MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
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)

sample1.6s (26.3%)

Memory
7.1MiB live, 1 579.4MiB allocated; 333ms collecting garbage
Samples
837.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 575.0ms
ival-div: 295.0ms (51.3% of total)
ival-add: 109.0ms (18.9% of total)
ival-mult: 105.0ms (18.2% of total)
ival-sub: 44.0ms (7.6% of total)
exact: 12.0ms (2.1% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain220.0ms (3.7%)

Memory
2.7MiB live, 157.3MiB allocated; 34ms collecting garbage
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
104.0ms512×0valid
Compiler

Compiled 111 to 43 computations (61.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 23.0ms (63.4% of total)
ival-mult: 7.0ms (19.3% of total)
ival-sub: 2.0ms (5.5% of total)
ival-add: 2.0ms (5.5% of total)
exact: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess50.0ms (0.8%)

Memory
6.7MiB live, 50.1MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058166
1129159
2192158
3415158
4800158
51035158
61152158
71191158
81195158
01311
02011
13011
23811
36611
412511
520911
621811
02189
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 (/.f64 y #s(literal -2 binary64)) z (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; 0ms collecting garbage
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
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)

simplify7.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
cost-diff1
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
cost-diff1
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
02039
13039
23839
36639
412539
520939
621839
021836
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 (/.f64 y #s(literal -2 binary64)) z (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 (/.f64 y #s(literal -2 binary64)) z (*.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 (*.f64 z y) #s(literal 2 binary64))
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal 2 binary64)
t

localize72.0ms (1.2%)

Memory
-17.9MiB live, 26.7MiB allocated; 8ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y z)
accuracy0.00390625
(/.f64 (*.f64 y z) #s(literal 2 binary64))
accuracy0.00390625
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
accuracy0.01171875
(-.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 49 to 15 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (32.9% of total)
ival-mult: 3.0ms (32.9% of total)
ival-sub: 1.0ms (11% of total)
ival-add: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
6 → 25
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 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 (/.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)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/2 (* y z))
(* 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
y
@-inf
((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z))
1.0ms
x
@-inf
((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z))
1.0ms
x
@inf
((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z))
1.0ms
z
@-inf
((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z))
1.0ms
y
@0
((/ 1 8) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* (/ 1 8) x) (/ (* y z) 2) (* y z))

simplify301.0ms (5.1%)

Memory
-4.2MiB live, 140.7MiB allocated; 25ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087246
1228246
2648245
32246244
45808244
08059218
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)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/2 (* y z))
(* 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 #s(literal -1/2 binary64) (*.f64 z y) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(- (* 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) x))
(* 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)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 t)) x) #s(literal 1/8 binary64)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (/.f64 z x) #s(literal 1/2 binary64)) y) #s(literal 1/8 binary64)))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (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))
(* 1/2 (* y z))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) z)
(* y z)
(*.f64 z y)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/8 binary64) x t) y)) y)
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) z)) y)
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/8 binary64) x t) y)) y)
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) z)) y)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 #s(literal 1/8 binary64) x t) z)) z)
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) y)) z)
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 #s(literal 1/8 binary64) x t) z)) z)
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) y)) z)
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)) t) t t)
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(*.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64)))

rewrite279.0ms (4.7%)

Memory
3.7MiB live, 190.6MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
02032
16032
239732
3567932
0819829
Stop Event
iter limit
node limit
iter limit
Counts
6 → 147
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 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 (/.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 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64)))))))
(*.f64 (/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))))) (-.f64 (*.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t)))
(*.f64 (fma.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t)) (fma.f64 t (+.f64 t (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (/.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t)) (/.f64 (fma.f64 x #s(literal 1/8 binary64) (-.f64 (/.f64 (*.f64 z y) #s(literal -2 binary64)) t)) (fma.f64 x #s(literal 1/8 binary64) (-.f64 (/.f64 (*.f64 z y) #s(literal -2 binary64)) t))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/8 binary64) t) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (fma.f64 x #s(literal 1/8 binary64) t) (/.f64 (*.f64 z y) #s(literal 2 binary64))))
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(-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (/.f64 z #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64))))))) (/.f64 (pow.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (/.f64 z #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64))))))))
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 (*.f64 z y) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/8 binary64) (/.f64 (*.f64 z y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 z y) #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 (*.f64 z y) #s(literal -2 binary64)))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 (/.f64 y #s(literal 2 binary64)) z)
(*.f64 (neg.f64 y) (/.f64 z #s(literal -2 binary64)))
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 z #s(literal 2 binary64)) y)
(*.f64 z (/.f64 y #s(literal 2 binary64)))
(*.f64 y (/.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 y) z) #s(literal -2 binary64))
(/.f64 (*.f64 z y) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 z y) #s(literal -2 binary64)))
(*.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 z (neg.f64 (neg.f64 y)))
(*.f64 z y)
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y z)
(neg.f64 (*.f64 (neg.f64 y) z))

eval42.0ms (0.7%)

Memory
-8.3MiB live, 38.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 6 328 to 619 computations (90.2% saved)

prune5.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1595164
Fresh000
Picked101
Done000
Total1605165
Accuracy
100.0%
Counts
165 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t))
100.0%
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
61.1%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
100.0%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
71.0%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
Compiler

Compiled 160 to 142 computations (11.3% saved)

simplify16.0ms (0.3%)

Memory
-27.1MiB live, 16.8MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y #s(literal -2 binary64))
cost-diff0
(fma.f64 z (/.f64 y #s(literal -2 binary64)) t)
cost-diff0
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t))
cost-diff0
(fma.f64 #s(literal 1/8 binary64) x t)
cost-diff0
(*.f64 z y)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
cost-diff0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
cost-diff0
(*.f64 z y)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
cost-diff0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) 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 x #s(literal 1/8 binary64))
cost-diff0
(/.f64 y #s(literal -2 binary64))
cost-diff0
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
cost-diff1
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029151
041150
175147
2135144
3264144
4420144
5468144
0468144
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
z
(/.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(*.f64 x #s(literal 1/8 binary64))
x
#s(literal 1/8 binary64)
t
#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 #s(literal -1/2 binary64) (*.f64 z y) t))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t))
x
#s(literal 1/8 binary64)
(fma.f64 z (/.f64 y #s(literal -2 binary64)) t)
z
(/.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
t
Outputs
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
(fma.f64 (/.f64 z #s(literal -2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x))
z
(/.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
x
#s(literal 1/8 binary64)
t
#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 #s(literal -1/2 binary64) (*.f64 z y) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) t))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) t)
#s(literal -1/2 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/8 binary64) x t))
#s(literal -1/2 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t))
(fma.f64 (/.f64 z #s(literal -2 binary64)) y (fma.f64 #s(literal 1/8 binary64) x t))
x
#s(literal 1/8 binary64)
(fma.f64 z (/.f64 y #s(literal -2 binary64)) t)
(fma.f64 (/.f64 y #s(literal -2 binary64)) z t)
z
(/.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
t

localize127.0ms (2.1%)

Memory
1.2MiB live, 108.1MiB allocated; 9ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 z (/.f64 y #s(literal -2 binary64)) t)
accuracy0.0
(/.f64 y #s(literal -2 binary64))
accuracy0.0078125
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t))
accuracy0.0
(fma.f64 #s(literal 1/8 binary64) x t)
accuracy0.0
(*.f64 z y)
accuracy0.0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
accuracy0.01171875
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
accuracy0.0
(*.f64 z y)
accuracy0.00390625
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
accuracy18.579334467670257
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
accuracy0.0
(fma.f64 #s(literal 1/8 binary64) x t)
accuracy24.876269329999474
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
accuracy0.0
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
accuracy0.0
(/.f64 y #s(literal -2 binary64))
accuracy0.0
(*.f64 x #s(literal 1/8 binary64))
accuracy0.00390625
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
Samples
112.0ms256×0valid
Compiler

Compiled 147 to 31 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-div: 57.0ms (59.8% of total)
ival-mult: 29.0ms (30.4% of total)
ival-add: 8.0ms (8.4% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Counts
13 → 44
Calls
Call 1
Inputs
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(/.f64 y #s(literal -2 binary64))
(*.f64 x #s(literal 1/8 binary64))
#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 #s(literal -1/2 binary64) (*.f64 z y) t))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(*.f64 z y)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t))
(fma.f64 z (/.f64 y #s(literal -2 binary64)) t)
Outputs
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/8 x)
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(+ t (* 1/8 x))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (/ t x)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1/2 y)
(* y z)
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (* 1/8 (/ x 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 (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (* 1/8 (/ x 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 (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* -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)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
Calls

12 calls:

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

simplify229.0ms (3.9%)

Memory
-25.1MiB live, 120.9MiB allocated; 27ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142403
1454403
21386399
33943399
08236352
Stop Event
iter limit
node limit
Counts
44 → 43
Calls
Call 1
Inputs
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/8 x)
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(+ t (* 1/8 x))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (/ t x)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1/2 y)
(* y z)
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (+ (* -1/2 z) (* 1/8 (/ x 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 (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (+ (* -1/2 y) (* 1/8 (/ x 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 (+ (* -1/8 (/ x z)) (* 1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* -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)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
Outputs
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(- t (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
t
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* x (+ 1/8 (/ t x)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z)) t) x) #s(literal 1/8 binary64)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (*.f64 y z) x) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z)) t) x) #s(literal 1/8 binary64)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 t) x) #s(literal 1/8 binary64)))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y z)
(*.f64 y z)
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* y (+ (* -1/2 z) (/ t y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* z (+ (* -1/2 y) (/ t z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) 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 #s(literal -1/2 binary64) (*.f64 y z) t)
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(*.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(*.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(*.f64 (neg.f64 t) (-.f64 (*.f64 (/.f64 x t) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(*.f64 (neg.f64 t) (-.f64 (*.f64 (/.f64 (*.f64 y z) t) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

rewrite324.0ms (5.5%)

Memory
4.6MiB live, 288.8MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029116
041115
1186112
21416112
08346112
Stop Event
iter limit
node limit
iter limit
Counts
13 → 388
Calls
Call 1
Inputs
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64))) t)
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(/.f64 y #s(literal -2 binary64))
(*.f64 x #s(literal 1/8 binary64))
#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 #s(literal -1/2 binary64) (*.f64 z y) t))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(*.f64 z y)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t))
(fma.f64 z (/.f64 y #s(literal -2 binary64)) t)
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t t) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t))) (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t))) (fma.f64 (/.f64 (*.f64 t t) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t))) (/.f64 (*.f64 t t) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t))) (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t))) (/.f64 (*.f64 t t) (fma.f64 #s(literal 1/8 binary64) x (-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t))) (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 (/.f64 y #s(literal -2 binary64)) z t)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (fma.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) t) (-.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) t) (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) (-.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) t)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x) (*.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (*.f64 #s(literal -1/8 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 2 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (*.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (*.f64 (neg.f64 x) #s(literal 1/8 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (fma.f64 t (-.f64 t (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x))) (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (-.f64 t (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x))) (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (fma.f64 t (-.f64 t (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x))) (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (fma.f64 t (-.f64 t (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x))) (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (-.f64 t (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x))) (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (-.f64 t (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x))) (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (fma.f64 t (-.f64 t (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x))) (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (-.f64 t (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x))) (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.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 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (*.f64 #s(literal 1/8 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (*.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (*.f64 #s(literal 1/8 binary64) x))))) #s(literal 3 binary64))) (fma.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 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (*.f64 #s(literal 1/8 binary64) x))))) (/.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 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (*.f64 #s(literal 1/8 binary64) x))))) (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (*.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (*.f64 #s(literal 1/8 binary64) x))))) (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (*.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -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)) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (*.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (*.f64 #s(literal 1/8 binary64) x))))) (/.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 x x) (*.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (-.f64 (fma.f64 (/.f64 y #s(literal -2 binary64)) z t) (*.f64 #s(literal 1/8 binary64) x)))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 (/.f64 y #s(literal -2 binary64)) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) (fma.f64 #s(literal 1/8 binary64) x t))))
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(/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t))))
(/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64))) (fma.f64 t (-.f64 t (*.f64 (/.f64 y #s(literal -2 binary64)) z)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64))))
(fma.f64 (/.f64 y #s(literal -2 binary64)) z t)
(fma.f64 y (/.f64 z #s(literal -2 binary64)) t)
(fma.f64 z (/.f64 y #s(literal -2 binary64)) t)
(-.f64 (/.f64 (*.f64 t t) (-.f64 t (*.f64 (/.f64 y #s(literal -2 binary64)) z))) (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (-.f64 t (*.f64 (/.f64 y #s(literal -2 binary64)) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t)))
(-.f64 t (*.f64 (neg.f64 (/.f64 y #s(literal -2 binary64))) z))
(-.f64 t (*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t)))) (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)) (fma.f64 t t (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)) (fma.f64 t t (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t (-.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t)))))
(+.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (-.f64 t (*.f64 (/.f64 y #s(literal -2 binary64)) z)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)) (fma.f64 t (-.f64 t (*.f64 (/.f64 y #s(literal -2 binary64)) z)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 3 binary64)) (fma.f64 t (-.f64 t (*.f64 (/.f64 y #s(literal -2 binary64)) z)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (-.f64 t (*.f64 (/.f64 y #s(literal -2 binary64)) z)) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t)) (/.f64 (*.f64 (neg.f64 t) t) (-.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t)))
(+.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) z) t)
(+.f64 t (*.f64 (/.f64 y #s(literal -2 binary64)) z))

eval46.0ms (0.8%)

Memory
-2.4MiB live, 96.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 14 570 to 1 281 computations (91.2% saved)

prune8.0ms (0.1%)

Memory
25.0MiB live, 25.0MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3523355
Fresh000
Picked415
Done000
Total3564360
Accuracy
100.0%
Counts
360 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
71.0%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
68.8%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z))))
61.1%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
Compiler

Compiled 83 to 71 computations (14.5% saved)

simplify32.0ms (0.5%)

Memory
-29.4MiB live, 18.1MiB allocated; 1ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
025115
033115
162112
2114112
3223112
4396112
5489112
6496112
0496109
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 (*.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
#s(literal 1/8 binary64)
x
(*.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 t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
(fma.f64 #s(literal 1/8 binary64) x t)
#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 (*.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) z) y (*.f64 x #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 x #s(literal 1/8 binary64)))
#s(literal 1/8 binary64)
x
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z)
#s(literal -1/2 binary64)
(*.f64 y z)
(*.f64 z y)
y
z
#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) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (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) z) y (fma.f64 x #s(literal 1/8 binary64) t)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
(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

localize64.0ms (1.1%)

Memory
39.2MiB live, 86.2MiB allocated; 2ms collecting garbage
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
accuracy0.0
(fma.f64 #s(literal 1/8 binary64) x t)
accuracy0.0
(*.f64 #s(literal -1/2 binary64) z)
accuracy0.0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
accuracy0.0
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
accuracy0.0
(*.f64 #s(literal -1/2 binary64) z)
accuracy18.579334467670257
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
accuracy0.0
(*.f64 y z)
accuracy0.00390625
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
accuracy0.01171875
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
accuracy19.943370178229955
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z))))
Samples
32.0ms256×0valid
Compiler

Compiled 102 to 25 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (47.6% of total)
ival-add: 5.0ms (26.5% of total)
ival-div: 3.0ms (15.9% of total)
ival-sub: 1.0ms (5.3% of total)
exact: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
-24.2MiB live, 20.9MiB allocated; 4ms collecting garbage
Counts
10 → 44
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(fma.f64 #s(literal 1/8 binary64) x (*.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 t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(+ t (* 1/8 x))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (/ t x)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* 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 (+ (* -1/8 (/ 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) (* 1/8 (/ x z))))
(* 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 (+ (* -1/8 (/ 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)))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (* 1/8 (/ x t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
Calls

12 calls:

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

simplify94.0ms (1.6%)

Memory
31.0MiB live, 172.3MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142403
1454403
21386399
33943399
08175352
Stop Event
iter limit
node limit
Counts
44 → 43
Calls
Call 1
Inputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(+ t (* 1/8 x))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (/ t x)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* 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 (+ (* -1/8 (/ 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) (* 1/8 (/ x z))))
(* 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 (+ (* -1/8 (/ 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)))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (* 1/8 (/ x t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
Outputs
(- t (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
t
(+ t (* 1/8 x))
(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 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) 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))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* x (+ 1/8 (/ t x)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) t) x) #s(literal 1/8 binary64)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (*.f64 z y) x) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) t) x) #s(literal 1/8 binary64)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 t) x) #s(literal 1/8 binary64)))
(* y z)
(*.f64 z y)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* y (+ (* -1/2 z) (/ t y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) 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))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* z (+ (* -1/2 y) (/ t z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) 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))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(*.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(*.f64 (neg.f64 t) (-.f64 (*.f64 (/.f64 (*.f64 z y) t) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(*.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(*.f64 (neg.f64 t) (-.f64 (*.f64 (/.f64 x t) #s(literal -1/8 binary64)) #s(literal 1 binary64)))

rewrite403.0ms (6.8%)

Memory
-45.6MiB live, 295.1MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02597
03397
113594
297194
0821694
Stop Event
iter limit
node limit
iter limit
Counts
10 → 214
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(fma.f64 #s(literal 1/8 binary64) x (*.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 t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))))) (+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 (neg.f64 x) #s(literal 1/8 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x))) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) y)) z) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) y)) z))) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y))) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) z) #s(literal -1/2 binary64)))) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) z)))) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (*.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 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (*.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 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (*.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 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (*.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 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (*.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 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (*.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 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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)) (fma.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (*.f64 (neg.f64 x) #s(literal 1/8 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (*.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 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) y)) z) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) y)) z) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) y)) z) (*.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) y)) z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y) (*.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) z)) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 y) z) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) z) #s(literal -1/2 binary64)) (*.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (neg.f64 y) z) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (fma.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) z))))))
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(+.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 t (*.f64 x #s(literal 1/8 binary64)))))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 t t (-.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 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 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #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 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #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 (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 (/.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 (neg.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)

eval29.0ms (0.5%)

Memory
28.4MiB live, 74.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 11 216 to 990 computations (91.2% saved)

prune5.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2343237
Fresh000
Picked213
Done011
Total2365241
Accuracy
100.0%
Counts
241 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.8%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 x #s(literal 1/8 binary64))))
71.0%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
61.1%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
30.5%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
40.3%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
Compiler

Compiled 106 to 91 computations (14.2% saved)

simplify61.0ms (1%)

Memory
-21.9MiB live, 25.4MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
027112
034110
161110
299110
3166110
4256110
5337110
6347110
0347104
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
#s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.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 x #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 x #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
(*.f64 x #s(literal 1/8 binary64))
x
#s(literal 1/8 binary64)
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)))
#s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(*.f64 (*.f64 #s(literal -1/2 binary64) 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))
#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 x #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 x #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
(*.f64 x #s(literal 1/8 binary64))
x
#s(literal 1/8 binary64)

localize94.0ms (1.6%)

Memory
-12.2MiB live, 83.9MiB allocated; 17ms collecting garbage
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 x #s(literal 1/8 binary64)))
accuracy0.0
(*.f64 x #s(literal 1/8 binary64))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) z)
accuracy19.943370178229955
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 x #s(literal 1/8 binary64))))
accuracy0.0
(*.f64 #s(literal 1/8 binary64) x)
accuracy44.48649319090235
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
accuracy0.0
(*.f64 z y)
accuracy0.00390625
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
accuracy19.943370178229955
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
accuracy29.636279965552603
#s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Samples
83.0ms256×0valid
Compiler

Compiled 86 to 26 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 45.0ms (64.3% of total)
ival-sub: 18.0ms (25.7% of total)
ival-div: 3.0ms (4.3% of total)
ival-add: 3.0ms (4.3% of total)
exact: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Counts
10 → 25
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
#s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.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 x #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 x #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 x #s(literal 1/8 binary64))
Outputs
(- 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 (/ 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
1.0ms
z
@-inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) (* -1/2 (* y z))) (* -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) (* x 1/8)) (* -1/2 z) (* x 1/8))
1.0ms
y
@-inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) (* -1/2 (* y z))) (* -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) (* x 1/8)) (* -1/2 z) (* x 1/8))
1.0ms
z
@inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) (* -1/2 (* y z))) (* -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) (* x 1/8)) (* -1/2 z) (* x 1/8))
1.0ms
z
@0
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) (* -1/2 (* y z))) (* -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) (* x 1/8)) (* -1/2 z) (* x 1/8))
1.0ms
x
@inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* 1/8 x) (* -1/2 (* y z))) (* -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) (* x 1/8)) (* -1/2 z) (* x 1/8))

simplify188.0ms (3.2%)

Memory
28.4MiB live, 167.9MiB allocated; 23ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087225
1257225
2795224
32415223
45645223
08154196
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))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 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 #s(literal -1/2 binary64) (*.f64 z y) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t))
(* -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))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t) #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) x))
(* 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)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (neg.f64 t)) x) #s(literal 1/8 binary64)))
(* -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 #s(literal -1/2 binary64) (*.f64 z y) (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 #s(literal -1/2 binary64) (*.f64 z y) (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 #s(literal -1/2 binary64) (*.f64 z y) (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 #s(literal -1/2 binary64) (*.f64 z y) (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 #s(literal -1/2 binary64) (*.f64 z y) (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 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)) t) t t)
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(*.f64 (neg.f64 t) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)) t) #s(literal 1 binary64)))

rewrite295.0ms (5%)

Memory
-35.2MiB live, 261.6MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027102
034100
1123100
2730100
0856497
Stop Event
iter limit
node limit
iter limit
Counts
10 → 102
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
#s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.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 x #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 x #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 x #s(literal 1/8 binary64))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)))
#s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(*.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 #s(literal -1/2 binary64) y))
(*.f64 y (*.f64 #s(literal -1/2 binary64) 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 z (neg.f64 (neg.f64 y)))
(*.f64 z y)
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y z)
(neg.f64 (*.f64 (neg.f64 y) z))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(neg.f64 (*.f64 #s(literal -1/8 binary64) x))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 z y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 x #s(literal -1/16 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))) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x)))
(/.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)))) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (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 (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 z y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 x #s(literal -1/16 binary64))))))
(neg.f64 (/.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)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 #s(literal 1/64 binary64) x) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (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 (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 z y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 x #s(literal -1/16 binary64)))))))
(neg.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))) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))
(neg.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)))) (neg.f64 (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64))))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 z y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 x #s(literal -1/16 binary64))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) (neg.f64 x)))
(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) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal -1/8 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (neg.f64 x)))
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) (neg.f64 x)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) (*.f64 #s(literal -1/8 binary64) (neg.f64 x)))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) z))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) z)) y))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) z)))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) z))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) z)) y))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) z)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 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 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))) (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(-.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 (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (*.f64 #s(literal -1/8 binary64) x))
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 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 (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))) (/.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 (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))))
(+.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 (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))) (/.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 (-.f64 (*.f64 #s(literal 1/64 binary64) x) (*.f64 (*.f64 z y) #s(literal -1/16 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 z y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 x #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 z y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 x #s(literal -1/16 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 z y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 x #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 (*.f64 z y) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) (*.f64 x #s(literal -1/16 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/64 binary64) x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal -1/8 binary64) x))))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (*.f64 #s(literal -1/8 binary64) (neg.f64 x)))
(+.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 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) z))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) z)) y))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) z)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 z #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) x)
(neg.f64 (*.f64 #s(literal -1/8 binary64) x))

eval49.0ms (0.8%)

Memory
-7.5MiB live, 29.4MiB allocated; 14ms collecting garbage
Compiler

Compiled 4 813 to 418 computations (91.3% saved)

prune8.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1120112
Fresh000
Picked033
Done022
Total1125117
Accuracy
100.0%
Counts
117 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.8%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 x #s(literal 1/8 binary64))))
71.0%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
61.1%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
30.5%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
40.3%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
Compiler

Compiled 332 to 149 computations (55.1% saved)

regimes112.0ms (1.9%)

Memory
-12.4MiB live, 87.9MiB allocated; 27ms collecting garbage
Counts
12 → 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) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x (*.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) z) y (*.f64 x #s(literal 1/8 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (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) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
(fma.f64 x #s(literal 1/8 binary64) (fma.f64 z (/.f64 y #s(literal -2 binary64)) t))
(+.f64 (fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.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
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
Calls

9 calls:

44.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
41.0ms
(*.f64 y z)
4.0ms
t
4.0ms
y
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
Results
AccuracySegmentsBranch
100.0%1(*.f64 y z)
100.0%1(/.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 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
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%1x
100.0%1y
100.0%1z
100.0%1t
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes50.0ms (0.8%)

Memory
34.8MiB live, 78.6MiB allocated; 11ms collecting garbage
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 (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x (*.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) z) y (*.f64 x #s(literal 1/8 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
Calls

9 calls:

27.0ms
x
3.0ms
t
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms
y
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
100.0%1(*.f64 y z)
100.0%1(/.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 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
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%1x
100.0%1y
100.0%1z
100.0%1t
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes101.0ms (1.7%)

Memory
0.7MiB live, 92.3MiB allocated; 42ms collecting garbage
Counts
7 → 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) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x (*.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) z) y (*.f64 x #s(literal 1/8 binary64))))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 x #s(literal 1/8 binary64))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
Calls

9 calls:

47.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
35.0ms
t
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
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
Results
AccuracySegmentsBranch
90.8%3(*.f64 y z)
90.8%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
88.5%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
85.8%3(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
81.7%5(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
88.5%3x
84.4%3y
85.6%3z
93.2%3t
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes3.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Counts
6 → 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) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z))))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
Calls

1 calls:

2.0ms
t
Results
AccuracySegmentsBranch
93.2%3t
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes22.0ms (0.4%)

Memory
-30.4MiB live, 20.3MiB allocated; 2ms collecting garbage
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) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) 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) z) y t))
Calls

3 calls:

17.0ms
t
2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
90.5%3(*.f64 y z)
90.5%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
71.0%1t
Compiler

Compiled 9 to 16 computations (-77.8% saved)

regimes4.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
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 (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) 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 #s(literal -1/2 binary64) (*.f64 z y) t))
Calls

2 calls:

2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
90.5%3(*.f64 y z)
90.5%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
Compiler

Compiled 8 to 12 computations (-50% saved)

regimes34.0ms (0.6%)

Memory
-10.7MiB live, 36.2MiB allocated; 3ms collecting garbage
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) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.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) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
Calls

6 calls:

25.0ms
x
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms
z
2.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
75.9%3z
75.3%3(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
67.2%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
67.2%3x
85.1%3(*.f64 y z)
85.1%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
Compiler

Compiled 26 to 40 computations (-53.8% saved)

regimes24.0ms (0.4%)

Memory
-9.6MiB live, 37.4MiB allocated; 3ms collecting garbage
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:

13.0ms
t
2.0ms
x
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 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms
z
Results
AccuracySegmentsBranch
61.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
61.1%1x
61.1%1t
61.1%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
61.1%1z
61.1%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
61.1%1y
61.1%1(*.f64 y z)
61.1%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes10.0ms (0.2%)

Memory
38.2MiB live, 38.2MiB allocated; 0ms collecting garbage
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:

1.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
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 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
1.0ms
x
Results
AccuracySegmentsBranch
30.5%1(*.f64 y z)
30.5%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
30.5%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
30.5%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
30.5%1y
30.5%1z
30.5%1t
30.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
30.5%1x
Compiler

Compiled 41 to 61 computations (-48.8% saved)

bsearch23.0ms (0.4%)

Memory
-5.8MiB live, 46.5MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
8.551715242140317e-58
1.2572972377141137e-56
10.0ms
-1.6997557127626648e+121
-6.392726140460072e+120
Samples
11.0ms176×0valid
Compiler

Compiled 478 to 438 computations (8.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (30.4% of total)
ival-mult: 2.0ms (30.4% of total)
ival-sub: 1.0ms (15.2% of total)
ival-add: 1.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
-40.9MiB live, 5.6MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.551715242140317e-58
1.2572972377141137e-56
2.0ms
-1.6997557127626648e+121
-6.392726140460072e+120
Compiler

Compiled 478 to 438 computations (8.4% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.532673710406467e-6
2205617.2055450594
0.0ms
-1.4102136364562998e-49
-2.7671873650195237e-50
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.532673710406467e-6
2205617.2055450594
0.0ms
-1.4102136364562998e-49
-2.7671873650195237e-50
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.608539365950856e+73
3.1574698553798975e+76
0.0ms
-3.743850298318251e+79
-9.581141753785671e+78
Compiler

Compiled 16 to 20 computations (-25% saved)

simplify21.0ms (0.4%)

Memory
-2.8MiB live, 43.3MiB allocated; 6ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064346
191346
2127346
3203346
4304346
5391346
6410346
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 t #s(literal -7500000000000000566744330102353856240897568728629732885341421453818644277702227749399319539626445820041618410772354826240 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) (if (<=.f64 t #s(literal 5300541194335153/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 x #s(literal 1/8 binary64)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))))
(if (<=.f64 t #s(literal -7500000000000000566744330102353856240897568728629732885341421453818644277702227749399319539626445820041618410772354826240 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) (if (<=.f64 t #s(literal 5300541194335153/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))))
(if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) (if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 5902958103587057/590295810358705651712 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) z) y t))))
(if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -5265614583427859/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) (if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 5902958103587057/590295810358705651712 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 #s(literal -1/2 binary64) (*.f64 z y) t))))
(if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -19999999999999999347120150013191038445492807213299959826532049237266006443819008 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) (if (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 49999999999999997582409405901396098942598045401506677583603409881825017856 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) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.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
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 #s(literal 1/8 binary64) x t)))
(if (<=.f64 t #s(literal -7500000000000000566744330102353856240897568728629732885341421453818644277702227749399319539626445820041618410772354826240 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) (if (<=.f64 t #s(literal 5300541194335153/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 x #s(literal 1/8 binary64)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))))
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(if (<=.f64 t #s(literal -7500000000000000566744330102353856240897568728629732885341421453818644277702227749399319539626445820041618410772354826240 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)) (if (<=.f64 t #s(literal 5300541194335153/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))))
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(if (or (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -19999999999999999347120150013191038445492807213299959826532049237266006443819008 binary64)) (not (<=.f64 (/.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)))) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) #s(approx (+ (* 1/8 x) (* -1/2 (* y z))) (*.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))

derivations767.0ms (12.9%)

Memory
37.2MiB live, 788.3MiB allocated; 136ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02597
03397
113594
297194
0821694
029116
041115
1186112
21416112
08346112
087246
1228246
2648245
32246244
45808244
08059218
0142403
1454403
21386399
33943399
08236352
0142403
1454403
21386399
33943399
08175352
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 376 to 70 computations (81.4% saved)

preprocess119.0ms (2%)

Memory
-9.3MiB live, 178.0MiB allocated; 44ms collecting garbage
Remove

(sort y z)

Compiler

Compiled 846 to 226 computations (73.3% saved)

end0.0ms (0%)

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

Profiling

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