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

Time bar (total: 4.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 15 to 15 computations (0% saved)

sample1.2s (26.4%)

Memory
39.0MiB live, 1 135.9MiB allocated
Samples
752.0ms8 255×0valid
0.0ms3valid
Precisions
Click to see histograms. Total time spent on operations: 492.0ms
ival-div: 198.0ms (40.2% of total)
ival-mult: 178.0ms (36.2% of total)
ival-sub: 58.0ms (11.8% of total)
ival-add: 40.0ms (8.1% of total)
exact: 10.0ms (2% of total)
ival-true: 6.0ms (1.2% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain192.0ms (4.2%)

Memory
-17.9MiB live, 141.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (*.f64 y z) #s(literal 2 binary64))
00-0-#s(literal 8 binary64)
00-0-t
00-0-#s(literal 1 binary64)
00-0-z
00-0-#s(literal 2 binary64)
00-0-y
00-0-(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
00-0-(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
00-0-(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
00-0-(*.f64 y z)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
95.0ms512×0valid
Compiler

Compiled 158 to 56 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 42.0ms (76.3% of total)
ival-mult: 7.0ms (12.7% of total)
ival-sub: 2.0ms (3.6% of total)
ival-add: 2.0ms (3.6% of total)
exact: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess143.0ms (3.1%)

Memory
25.6MiB live, 74.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058164
1164155
2405154
31042154
42188154
52948154
63153154
73176154
83183154
93183154
103185154
113191154
01311
02011
13111
25711
310811
418911
531511
648611
766611
879811
980011
08009
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Outputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 x #s(literal 1/8 binary64) t))
Symmetry

(sort y z)

Compiler

Compiled 13 to 13 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Compiler

Compiled 13 to 13 computations (0% saved)

simplify26.0ms (0.6%)

Memory
-10.0MiB live, 29.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
02039
13139
25739
310839
418939
531539
648639
766639
879839
980039
080036
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 y z)
y
z
#s(literal 2 binary64)
t
Outputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (fma.f64 x #s(literal 1/8 binary64) t))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
(*.f64 x #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(literal 8 binary64)
x
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal 2 binary64)
t

localize54.0ms (1.2%)

Memory
1.3MiB live, 37.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
accuracy0.0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
accuracy0.0
(*.f64 y z)
accuracy0.01171875
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
Samples
46.0ms256×0valid
Compiler

Compiled 96 to 28 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 30.0ms (82% of total)
ival-mult: 3.0ms (8.2% of total)
ival-sub: 1.0ms (2.7% of total)
ival-add: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
-18.7MiB live, 16.6MiB allocated
Counts
6 → 25
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* 1/2 (* y z))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
Calls

12 calls:

TimeVariablePointExpression
7.0ms
t
@0
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms
y
@-inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms
x
@-inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms
x
@inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))
1.0ms
z
@-inf
((/ 1 8) (/ (* y z) 2) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (- (* (/ 1 8) x) (/ (* y z) 2)) (* y z) (* (/ 1 8) x))

simplify204.0ms (4.5%)

Memory
-6.1MiB live, 145.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087211
1241211
2633211
31916211
45135211
08111181
Stop Event
iter limit
node limit
Counts
25 → 24
Calls
Call 1
Inputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* 1/2 (* y z))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
Outputs
(- t (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* 1/2 (* y z))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* y z)
(*.f64 z y)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))

rewrite241.0ms (5.2%)

Memory
5.4MiB live, 159.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
02032
16532
250332
3646932
0800429
Stop Event
iter limit
node limit
iter limit
Counts
6 → 280
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
Outputs
#s(literal 1/8 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) z)
(*.f64 (neg.f64 y) (*.f64 z #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64)))
(*.f64 (neg.f64 z) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) y)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z y))
(*.f64 (*.f64 (neg.f64 y) z) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 1 binary64))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(*.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(*.f64 z (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(*.f64 z (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) z))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 z y)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 y) z) #s(literal -2 binary64))
(/.f64 (*.f64 z y) #s(literal 2 binary64))
(/.f64 y (/.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z y)))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))))
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(fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (neg.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (neg.f64 y) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) z) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 (*.f64 x #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/64 binary64) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal -1 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (/.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64))))
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(+.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1 binary64) z) y)
(*.f64 (*.f64 #s(literal 1 binary64) y) z)
(*.f64 (neg.f64 (neg.f64 y)) z)
(*.f64 (neg.f64 (neg.f64 z)) y)
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) z))
(*.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 z (*.f64 y #s(literal 1 binary64)))
(*.f64 z (neg.f64 (neg.f64 y)))
(*.f64 z y)
(*.f64 y (*.f64 z #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y z)
(*.f64 #s(literal 1 binary64) (*.f64 z y))
(neg.f64 (*.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) z))
(*.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64)))

eval46.0ms (1%)

Memory
11.7MiB live, 49.7MiB allocated
Compiler

Compiled 8 495 to 881 computations (89.6% saved)

prune39.0ms (0.8%)

Memory
-17.1MiB live, 26.9MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2853288
Fresh000
Picked101
Done000
Total2863289
Accuracy
100.0%
Counts
289 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
68.6%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
67.9%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
Compiler

Compiled 47 to 42 computations (10.6% saved)

simplify34.0ms (0.7%)

Memory
-11.8MiB live, 24.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
02376
03276
15774
29374
314574
422672
537172
654372
771972
885172
985372
085372
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
t
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 z y)
z
y
#s(literal -1/2 binary64)
(fma.f64 x #s(literal 1/8 binary64) t)
x
#s(literal 1/8 binary64)
t
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 #s(literal 1/8 binary64) x t)
(fma.f64 x #s(literal 1/8 binary64) t)
#s(literal 1/8 binary64)
x
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
t
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 z y)
z
y
#s(literal -1/2 binary64)
(fma.f64 x #s(literal 1/8 binary64) t)
x
#s(literal 1/8 binary64)
t

localize69.0ms (1.5%)

Memory
19.0MiB live, 57.2MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
accuracy0.0
(fma.f64 x #s(literal 1/8 binary64) t)
accuracy0.0
(*.f64 z y)
accuracy0.0
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
accuracy0.0
(*.f64 #s(literal -1/2 binary64) y)
accuracy20.0662130447367
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
accuracy0.0
(fma.f64 #s(literal 1/8 binary64) x t)
accuracy20.541134798887263
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
Samples
34.0ms256×0valid
Compiler

Compiled 155 to 50 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 11.0ms (50.7% of total)
ival-add: 5.0ms (23% of total)
ival-div: 3.0ms (13.8% of total)
ival-sub: 1.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.8%)

Memory
-22.6MiB live, 15.7MiB allocated
Counts
8 → 38
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(*.f64 #s(literal -1/2 binary64) y)
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 z y)
(fma.f64 x #s(literal 1/8 binary64) t)
Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(+ t (* 1/8 x))
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1/2 y)
(* y z)
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (/ t z)))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
Calls

12 calls:

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

simplify126.0ms (2.7%)

Memory
14.6MiB live, 163.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125312
1389312
21035312
32754312
45705312
57917312
08103261
Stop Event
iter limit
node limit
Counts
38 → 37
Calls
Call 1
Inputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
t
(+ t (* 1/8 x))
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (/ t x)))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1/2 y)
(* y z)
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (/ t z)))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
Outputs
(- t (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
t
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (* -1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* x (+ 1/8 (/ t x)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y z)
(*.f64 z y)
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* y (+ (* -1/2 z) (/ t y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* z (+ (* -1/2 y) (/ t z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(+ (* -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 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 #s(literal 1/8 binary64) x t)
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))

rewrite305.0ms (6.6%)

Memory
-3.4MiB live, 323.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02363
03263
113959
299459
0815159
Stop Event
iter limit
node limit
iter limit
Counts
8 → 339
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(*.f64 #s(literal -1/2 binary64) y)
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 z y)
(fma.f64 x #s(literal 1/8 binary64) t)
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 x #s(literal 1/8 binary64) t))
(*.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 t (*.f64 x #s(literal 1/8 binary64)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (fma.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))))
(/.f64 (neg.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (*.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) (*.f64 t t))) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))) (-.f64 t (*.f64 x #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 t (*.f64 x #s(literal 1/8 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 t (*.f64 x #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t (*.f64 x #s(literal 1/8 binary64))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (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))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(fma.f64 x #s(literal 1/8 binary64) t)
(fma.f64 #s(literal 1/8 binary64) x t)
(-.f64 (/.f64 (*.f64 t t) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(+.f64 t (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
(*.f64 (fma.f64 t t (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) t))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t)) (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) t) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) t)))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (-.f64 t (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)))) #s(literal -1 binary64)))
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(/.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))) (-.f64 t (*.f64 x #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 t (*.f64 x #s(literal 1/8 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 (neg.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 t (*.f64 x #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) (*.f64 t (-.f64 t (*.f64 x #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t (*.f64 x #s(literal 1/8 binary64))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (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))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/8 binary64) t)))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/8 binary64)) t) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(fma.f64 x #s(literal 1/8 binary64) t)
(fma.f64 #s(literal 1/8 binary64) x t)
(-.f64 (/.f64 (*.f64 t t) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 t (*.f64 x #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t)) (neg.f64 (/.f64 (*.f64 t t) (-.f64 (*.f64 x #s(literal 1/8 binary64)) t))))
(+.f64 t (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) t)

eval74.0ms (1.6%)

Memory
26.8MiB live, 73.2MiB allocated
Compiler

Compiled 10 327 to 962 computations (90.7% saved)

prune9.0ms (0.2%)

Memory
-10.2MiB live, 26.6MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3153318
Fresh000
Picked123
Done000
Total3165321
Accuracy
100.0%
Counts
321 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.6%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
67.9%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
64.9%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)))
32.9%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
34.4%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Compiler

Compiled 96 to 85 computations (11.5% saved)

simplify33.0ms (0.7%)

Memory
-14.2MiB live, 24.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02287
02687
14187
27487
312787
420884
534284
650984
768384
881584
981784
081781
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 x #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
x
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64)))
#s(literal -1/2 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
x

localize57.0ms (1.2%)

Memory
30.1MiB live, 68.7MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z y)
accuracy0.0
(*.f64 #s(literal 1/8 binary64) x)
accuracy0.01171875
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
accuracy22.48090492636459
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)))
accuracy0.0
(*.f64 #s(literal 1/8 binary64) x)
accuracy42.94988841465254
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
accuracy0.0
(*.f64 z y)
accuracy0.0
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
accuracy42.01456635703989
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Samples
48.0ms256×0valid
Compiler

Compiled 170 to 43 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 24.0ms (67.9% of total)
ival-mult: 7.0ms (19.8% of total)
ival-add: 2.0ms (5.7% of total)
ival-sub: 1.0ms (2.8% of total)
exact: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
-30.3MiB live, 13.9MiB allocated
Counts
7 → 24
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(*.f64 z y)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* 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
7.0ms
x
@0
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)))
1.0ms
y
@-inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)))
1.0ms
z
@-inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)))
1.0ms
x
@inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)))
1.0ms
x
@-inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)))

simplify209.0ms (4.6%)

Memory
-4.5MiB live, 198.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087206
1262206
2741206
32064206
45410206
08194176
Stop Event
iter limit
node limit
Counts
24 → 23
Calls
Call 1
Inputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
Outputs
(- t (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1/2 (* y z))
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* y z)
(*.f64 z y)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (fma.f64 #s(literal 1/8 binary64) x t))

rewrite271.0ms (5.9%)

Memory
17.1MiB live, 211.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02271
02671
18768
269368
0851165
Stop Event
iter limit
node limit
iter limit
Counts
7 → 135
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(*.f64 z y)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 (*.f64 y #s(literal -1/2 binary64)) z)
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(*.f64 (neg.f64 y) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 y))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) z))
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
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(*.f64 z (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
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(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))))))
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(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64))))
(/.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)))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) x) x (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 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 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))))
(neg.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 z y))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (neg.f64 y) (*.f64 z #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 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)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) z) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))
(fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))))))
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64) (*.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)))
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (*.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 x #s(literal 1/8 binary64)))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.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 #s(literal -1/8 binary64) x (*.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 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #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 (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y)))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y)))))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64))))
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #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 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) x (*.f64 #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 (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/64 binary64) x (*.f64 #s(literal 1/16 binary64) (*.f64 z y))))))))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))

eval38.0ms (0.8%)

Memory
1.1MiB live, 38.4MiB allocated
Compiler

Compiled 5 535 to 537 computations (90.3% saved)

prune34.0ms (0.7%)

Memory
-30.3MiB live, 19.1MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1660166
Fresh000
Picked033
Done022
Total1665171
Accuracy
100.0%
Counts
171 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.6%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
67.9%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
64.9%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)))
32.9%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
34.4%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Compiler

Compiled 214 to 123 computations (42.5% saved)

regimes27.0ms (0.6%)

Memory
19.3MiB live, 56.8MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Outputs
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
Calls

9 calls:

4.0ms
z
3.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms
t
3.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
100.0%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
100.0%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
100.0%1(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes23.0ms (0.5%)

Memory
21.6MiB live, 56.8MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
Calls

9 calls:

5.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms
t
2.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
2.0ms
x
Results
AccuracySegmentsBranch
87.0%3x
86.8%3y
85.2%3z
88.3%3t
82.1%3(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
84.8%3(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
87.0%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
89.4%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
89.4%3(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes12.0ms (0.3%)

Memory
-6.1MiB live, 31.8MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Calls

6 calls:

3.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
2.0ms
y
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms
x
2.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
80.9%3y
67.9%1x
67.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
72.8%3t
85.9%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
85.9%3(*.f64 y z)
Compiler

Compiled 16 to 32 computations (-100% saved)

regimes14.0ms (0.3%)

Memory
-12.6MiB live, 34.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
Calls

7 calls:

5.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
2.0ms
z
2.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
1.0ms
y
1.0ms
t
Results
AccuracySegmentsBranch
67.9%1t
67.9%1y
67.9%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
67.9%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
67.9%1z
67.9%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
67.9%1(*.f64 y z)
Compiler

Compiled 35 to 49 computations (-40% saved)

regimes12.0ms (0.3%)

Memory
0.7MiB live, 39.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

9 calls:

2.0ms
z
1.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
1.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms
t
Results
AccuracySegmentsBranch
32.9%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
32.9%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
32.9%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
32.9%1(*.f64 y z)
32.9%1z
32.9%1x
32.9%1y
32.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
32.9%1t
Compiler

Compiled 41 to 61 computations (-48.8% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.171280007448705e-8
0.027894664575911967
0.0ms
-1.2649192741371698e+64
-9.83972305897936e+58
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.718400601424794e+212
4.4279758813891306e+219
0.0ms
-2.866497006276595e+167
-2.7418025453269643e+165
Compiler

Compiled 16 to 20 computations (-25% saved)

simplify26.0ms (0.6%)

Memory
-8.2MiB live, 68.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040166
149166
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
(if (<=.f64 (*.f64 y z) #s(literal -10000000000000000213204190094543968723012578712679649467743338496 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) (if (<=.f64 (*.f64 y z) #s(literal 3022314549036573/75557863725914323419136 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))))
(if (<=.f64 (*.f64 y z) #s(literal -200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 y z) #s(literal 499999999999999992172518763398711198616762387599668526459791893706565206444511611813532878465915090404285515504459838580042126426099820904973015011723976348217763562013688300352408115712615859501189282067562627072 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
Outputs
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
(if (<=.f64 (*.f64 y z) #s(literal -10000000000000000213204190094543968723012578712679649467743338496 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) (if (<=.f64 (*.f64 y z) #s(literal 3022314549036573/75557863725914323419136 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))))
(if (<=.f64 (*.f64 y z) #s(literal -200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) (if (<=.f64 (*.f64 y z) #s(literal 499999999999999992172518763398711198616762387599668526459791893706565206444511611813532878465915090404285515504459838580042126426099820904973015011723976348217763562013688300352408115712615859501189282067562627072 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(if (<=.f64 (*.f64 y z) #s(literal -200000000000000007721798857483902880558804102982700877908847659137154782032985485340394783509086340687111501805726310060782654579073417017646333594747261264801453572096 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) (if (<=.f64 (*.f64 y z) #s(literal 499999999999999992172518763398711198616762387599668526459791893706565206444511611813532878465915090404285515504459838580042126426099820904973015011723976348217763562013688300352408115712615859501189282067562627072 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 y z) #s(literal -1/2 binary64)))))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))

soundness903.0ms (19.7%)

Memory
-10.6MiB live, 470.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125312
1389312
21035312
32754312
45705312
57917312
08103261
087211
1241211
2633211
31916211
45135211
08111181
01332
02032
16532
250332
3646932
0800429
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 249 to 109 computations (56.2% saved)

preprocess87.0ms (1.9%)

Memory
28.5MiB live, 110.8MiB allocated
Remove

(sort y z)

Compiler

Compiled 448 to 162 computations (63.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...