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

Time bar (total: 3.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
-8.1MiB live, 0.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 15 to 15 computations (0% saved)

sample706.0ms (23.7%)

Memory
21.0MiB live, 277.5MiB allocated
Samples
455.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 273.0ms
ival-div: 98.0ms (36% of total)
ival-mult: 89.0ms (32.7% of total)
ival-add: 34.0ms (12.5% of total)
ival-sub: 34.0ms (12.5% of total)
exact: 9.0ms (3.3% of total)
ival-true: 5.0ms (1.8% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain104.0ms (3.5%)

Memory
-6.5MiB live, 63.4MiB 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
Total Time
19.454833984375
Average Time
0.07599544525146484
Samples
34.0ms512×0valid
Compiler

Compiled 158 to 56 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 6.0ms (34.6% of total)
ival-mult: 6.0ms (34.6% of total)
ival-sub: 2.0ms (11.5% of total)
ival-add: 2.0ms (11.5% of total)
exact: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess127.0ms (4.3%)

Memory
1.5MiB live, 8.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(sort y z)

Compiler

Compiled 13 to 13 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Compiler

Compiled 13 to 13 computations (0% saved)

simplify20.0ms (0.7%)

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

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize28.0ms (0.9%)

Memory
-5.7MiB live, 10.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
accuracy0
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
accuracy0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
accuracy0
(*.f64 y z)
Samples
22.0ms256×0valid
Compiler

Compiled 96 to 28 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (33.2% of total)
ival-mult: 3.0ms (33.2% of total)
ival-add: 2.0ms (22.2% of total)
ival-sub: 1.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.3%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
6 → 25
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* 1/2 (* y z))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
Calls

12 calls:

TimeVariablePointExpression
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
y
@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
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))

simplify103.0ms (3.4%)

Memory
-4.6MiB live, 25.8MiB 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))

rewrite150.0ms (5%)

Memory
9.9MiB live, 52.0MiB 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))))
(*.f64 (/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 t (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) t) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 t (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) t)))
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(fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (neg.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (neg.f64 y) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) z) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 (*.f64 x #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/64 binary64) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal -1 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (/.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 z (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(fma.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64))))
(-.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(+.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))))) (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z y)) x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1 binary64) z) y)
(*.f64 (*.f64 #s(literal 1 binary64) y) z)
(*.f64 (neg.f64 (neg.f64 y)) z)
(*.f64 (neg.f64 (neg.f64 z)) y)
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) z))
(*.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 z (*.f64 y #s(literal 1 binary64)))
(*.f64 z (neg.f64 (neg.f64 y)))
(*.f64 z y)
(*.f64 y (*.f64 z #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y z)
(*.f64 #s(literal 1 binary64) (*.f64 z y))
(neg.f64 (*.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) z))
(*.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)))

eval51.0ms (1.7%)

Memory
-16.9MiB live, 26.1MiB allocated
Compiler

Compiled 8 495 to 881 computations (89.6% saved)

prune4.0ms (0.2%)

Memory
-6.5MiB live, 10.7MiB 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))
68.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
67.6%
#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)

simplify23.0ms (0.8%)

Memory
2.6MiB live, 2.6MiB 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

localize44.0ms (1.5%)

Memory
3.9MiB live, 19.0MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
accuracy0
(fma.f64 x #s(literal 1/8 binary64) t)
accuracy0
(*.f64 z y)
accuracy0
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy20.363362712337484
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
accuracy0
(fma.f64 #s(literal 1/8 binary64) x t)
accuracy20.739660377664787
#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: 23.0ms
ival-mult: 11.0ms (47.7% of total)
ival-add: 8.0ms (34.7% of total)
ival-div: 3.0ms (13% of total)
ival-sub: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.3%)

Memory
-2.6MiB live, 4.9MiB 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
1.0ms
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
@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))

simplify106.0ms (3.6%)

Memory
0.9MiB live, 22.8MiB 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))

rewrite159.0ms (5.3%)

Memory
-1.1MiB live, 55.2MiB 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)

eval34.0ms (1.1%)

Memory
5.7MiB live, 28.2MiB allocated
Compiler

Compiled 10 327 to 962 computations (90.7% saved)

prune6.0ms (0.2%)

Memory
-2.5MiB live, 12.5MiB 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
68.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
67.6%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
65.3%
#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)))
33.0%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
34.5%
#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)

simplify23.0ms (0.8%)

Memory
2.6MiB live, 2.6MiB 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

localize36.0ms (1.2%)

Memory
-1.7MiB live, 15.2MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x))
accuracy0
(*.f64 z y)
accuracy0
(*.f64 #s(literal 1/8 binary64) x)
accuracy22.183001196311285
#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
(*.f64 #s(literal 1/8 binary64) x)
accuracy42.91031452996223
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
accuracy0
(*.f64 z y)
accuracy0
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
accuracy41.91409278360931
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Samples
27.0ms256×0valid
Compiler

Compiled 170 to 43 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (56% of total)
ival-div: 3.0ms (21% of total)
ival-add: 2.0ms (14% of total)
ival-sub: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
-3.2MiB live, 4.3MiB 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
1.0ms
t
@-inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* 1/8 x) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* -1/2 (* z y)) (* 1/8 x)))
1.0ms
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)))

simplify120.0ms (4%)

Memory
4.7MiB live, 28.4MiB 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))

rewrite144.0ms (4.8%)

Memory
-2.6MiB live, 51.7MiB 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))
(*.f64 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(*.f64 z (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 z (*.f64 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)))

eval18.0ms (0.6%)

Memory
4.6MiB live, 15.4MiB allocated
Compiler

Compiled 5 535 to 537 computations (90.3% saved)

prune7.0ms (0.2%)

Memory
-6.2MiB live, 8.9MiB 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
68.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
67.6%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
65.3%
#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)))
33.0%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
34.5%
#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)

regimes25.0ms (0.8%)

Memory
0.4MiB live, 17.7MiB 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:

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

regimes21.0ms (0.7%)

Memory
0.6MiB live, 16.5MiB 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 #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 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)))
Calls

9 calls:

2.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
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
y
2.0ms
t
Results
AccuracySegmentsBranch
93.4%3x
86.4%4y
85.2%4z
89.4%3t
80.7%5(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
86.5%3(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
93.4%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
91.7%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
91.7%3(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes8.0ms (0.3%)

Memory
-0.8MiB live, 7.2MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 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))
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

4 calls:

2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms
x
2.0ms
(*.f64 y z)
2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
91.7%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
91.7%3(*.f64 y z)
91.5%3x
91.5%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
Compiler

Compiled 14 to 24 computations (-71.4% saved)

regimes11.0ms (0.4%)

Memory
1.9MiB live, 10.1MiB 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:

2.0ms
x
2.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms
t
2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
76.7%3(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
67.6%1t
71.8%3x
71.8%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
86.5%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
86.5%3(*.f64 y z)
Compiler

Compiled 26 to 40 computations (-53.8% saved)

regimes13.0ms (0.4%)

Memory
-3.4MiB live, 12.5MiB 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

8 calls:

2.0ms
y
2.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
2.0ms
(-.f64 (*.f64 (/.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)
1.0ms
x
Results
AccuracySegmentsBranch
67.6%1x
67.6%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
67.6%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
67.6%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
67.6%1z
67.6%1y
67.6%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
67.6%1(*.f64 y z)
Compiler

Compiled 40 to 57 computations (-42.5% saved)

regimes11.0ms (0.4%)

Memory
5.6MiB live, 13.5MiB 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:

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
y
1.0ms
z
Results
AccuracySegmentsBranch
33.0%1z
33.0%1x
33.0%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
33.0%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
33.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
33.0%1t
33.0%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
33.0%1(*.f64 y z)
33.0%1y
Compiler

Compiled 41 to 61 computations (-48.8% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.661115709046395e+28
7.527607751833855e+29
0.0ms
-4.62465753512479e+97
-9.182581087667265e+96
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9679339388955716e+108
4.879375859812909e+111
0.0ms
-9.693456219594486e-20
-2.0482664403893597e-22
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.8116676600532265e+131
2.6178680511473852e+138
0.0ms
-6.016407400757969e+88
-1.902333082780446e+83
Compiler

Compiled 16 to 20 computations (-25% saved)

simplify38.0ms (1.3%)

Memory
-8.3MiB live, 19.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050236
161236
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 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 49999999999999995716575428608 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 (*.f64 y z) #s(literal -2076918743413931/41538374868278621028243970633760768 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 2000000000000000067997983426005649189887949439425796095426861429675750543446401666585483232761466891842617344 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 -49999999999999999737683287595902466157897305225341087810970847365954154269153922568421376 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 499999999999999995414783701180638281843304424991242455992046113258834575832799818100521466993270785184801126587914991362494731124736 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 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 49999999999999995716575428608 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t)) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) #s(literal 49999999999999995716575428608 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (*.f64 #s(literal 1/8 binary64) x)))))
(if (<=.f64 (*.f64 y z) #s(literal -2076918743413931/41538374868278621028243970633760768 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 2000000000000000067997983426005649189887949439425796095426861429675750543446401666585483232761466891842617344 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 -49999999999999999737683287595902466157897305225341087810970847365954154269153922568421376 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 499999999999999995414783701180638281843304424991242455992046113258834575832799818100521466993270785184801126587914991362494731124736 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 -49999999999999999737683287595902466157897305225341087810970847365954154269153922568421376 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 499999999999999995414783701180638281843304424991242455992046113258834575832799818100521466993270785184801126587914991362494731124736 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))

soundness744.0ms (24.9%)

Memory
4.6MiB live, 4.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 347 to 149 computations (57.1% saved)

preprocess72.0ms (2.4%)

Memory
-1.0MiB live, 29.5MiB allocated
Remove

(sort y z)

Compiler

Compiled 600 to 186 computations (69% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...