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

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample1.1s (19.6%)

Memory
-14.7MiB live, 1 092.6MiB allocated
Samples
636.0ms8 254×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 323.0ms
ival-div: 123.0ms (38% of total)
ival-mult: 98.0ms (30.3% of total)
ival-sub: 46.0ms (14.2% of total)
ival-add: 38.0ms (11.7% of total)
exact: 10.0ms (3.1% of total)
ival-true: 6.0ms (1.9% of total)
ival-assert: 3.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain202.0ms (3.6%)

Memory
7.2MiB live, 207.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.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))
01(1.111893533667166e-267 1.6890512509193745e+153 -7.556753074185397e-309 2.262965885123702e-172)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
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)cancellation10
/.f64(/.f64 (*.f64 y z) #s(literal 2 binary64))o/n10
(*.f64 y z)overflow30
Confusion
Predicted +Predicted -
+10
-1254
Precision
0.5
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-10254
Precision?
0.5
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms512×0valid
Compiler

Compiled 205 to 88 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 11.0ms (46.6% of total)
ival-mult: 7.0ms (29.6% of total)
ival-sub: 2.0ms (8.5% of total)
ival-add: 2.0ms (8.5% of total)
exact: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess141.0ms (2.5%)

Memory
5.1MiB live, 82.4MiB 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(+.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)

simplify32.0ms (0.6%)

Memory
2.6MiB live, 46.5MiB 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

localize34.0ms (0.6%)

Memory
-6.0MiB live, 32.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y z)
accuracy0.00390625
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
accuracy0.0078125
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
accuracy0.19965239342519525
(/.f64 (*.f64 y z) #s(literal 2 binary64))
Samples
19.0ms256×0valid
Compiler

Compiled 96 to 28 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (32.7% of total)
ival-mult: 3.0ms (32.7% of total)
ival-sub: 1.0ms (10.9% of total)
ival-add: 1.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
5 → 25
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* 1/2 (* y z))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* y z)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
t
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
Calls

12 calls:

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

simplify156.0ms (2.8%)

Memory
-2.2MiB live, 72.9MiB 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))

rewrite274.0ms (4.9%)

Memory
-7.8MiB live, 145.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
02029
16529
250329
3646929
0800426
Stop Event
iter limit
node limit
iter limit
Counts
5 → 275
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
Outputs
#s(literal 1/8 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) z)
(*.f64 (neg.f64 y) (*.f64 z #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 z) (/.f64 y #s(literal -2 binary64)))
(*.f64 (neg.f64 z) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) y)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z y))
(*.f64 (*.f64 (neg.f64 y) z) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 1 binary64))
(*.f64 (*.f64 z y) #s(literal 1/2 binary64))
(*.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(*.f64 z (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(*.f64 z (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) z))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y)) #s(literal -1 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 z y)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 y) z) #s(literal -2 binary64))
(/.f64 (*.f64 z y) #s(literal 2 binary64))
(/.f64 y (/.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 z y)))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 z y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (fma.f64 (*.f64 z #s(literal -1/2 binary64)) y (fma.f64 x #s(literal 1/8 binary64) t)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (*.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64))))
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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))

eval72.0ms (1.3%)

Memory
19.8MiB live, 67.8MiB allocated
Compiler

Compiled 8 434 to 868 computations (89.7% saved)

prune17.0ms (0.3%)

Memory
-18.8MiB live, 18.6MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2785283
Fresh000
Picked101
Done000
Total2795284
Accuracy
100.0%
Counts
284 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
70.2%
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t)
70.5%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
60.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
30.5%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
Compiler

Compiled 166 to 150 computations (9.6% saved)

simplify30.0ms (0.5%)

Memory
31.0MiB live, 31.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028140
040140
168137
2102137
3154137
4235134
5387134
6565134
7759134
8910134
9926134
10929134
0929132
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(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
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
t
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t)
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.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
t
Outputs
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) (fma.f64 #s(literal 1/8 binary64) x t))
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal -1/2 binary64)
(fma.f64 x #s(literal 1/8 binary64) t)
(fma.f64 #s(literal 1/8 binary64) x t)
x
#s(literal 1/8 binary64)
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(literal 1/8 binary64)
x
t
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
t
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t)
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) t)
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
#s(literal -1/2 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
t

localize81.0ms (1.4%)

Memory
-27.6MiB live, 47.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z y)
accuracy0.00390625
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t)
accuracy0.19965239342519525
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
accuracy30.82835838890985
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy0.009070031620653759
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
accuracy18.87537082329281
#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)
accuracy25.477271415519343
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
accuracy0
(*.f64 #s(literal 1/8 binary64) x)
accuracy44.49408012146997
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
accuracy0
(fma.f64 x #s(literal 1/8 binary64) t)
accuracy0
(*.f64 z y)
accuracy0.20355864342519525
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
Samples
41.0ms256×0valid
Compiler

Compiled 279 to 56 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 13.0ms (56.3% of total)
ival-add: 5.0ms (21.7% of total)
ival-div: 3.0ms (13% of total)
ival-sub: 1.0ms (4.3% of total)
exact: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
13 → 44
Calls
Call 1
Inputs
(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)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t)
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
Outputs
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(+ t (* 1/8 x))
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (/ t x)))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* y z)
(* -1/2 y)
(+ (* -1/2 (* y z)) (* 1/8 x))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (/ t z)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
Calls

12 calls:

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

simplify148.0ms (2.6%)

Memory
3.4MiB live, 116.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142366
1439366
21157366
33126366
46285366
08284309
Stop Event
iter limit
node limit
Counts
44 → 43
Calls
Call 1
Inputs
(+ t (* -1/2 (* y z)))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(+ t (* 1/8 x))
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* -1/2 (* y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(* x (+ 1/8 (/ t x)))
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (+ t (* -1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* -1 (/ t x)) 1/8)))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(* y z)
(* -1/2 y)
(+ (* -1/2 (* y z)) (* 1/8 x))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (/ t y)))
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1 (* y (- (* -1/8 (/ x y)) (* -1/2 z))))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (/ t z)))
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(* -1 (* z (- (* -1/8 (/ x z)) (* -1/2 y))))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(* t (+ 1 (* 1/8 (/ x t))))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
Outputs
(+ t (* -1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
t
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(- t (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* -1/2 (* y z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* x (+ 1/8 (+ (* -1/2 (/ (* y z) x)) (/ t x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* x (+ 1/8 (/ t x)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -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 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* y z)
(*.f64 y z)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* y (+ (* -1/2 z) (+ (* 1/8 (/ x y)) (/ t y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* y (+ (* -1/2 z) (/ t y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* y (- (* 1/8 (/ x y)) (* 1/2 z)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1 (* y (+ (* -1 (/ (+ t (* 1/8 x)) y)) (* 1/2 z))))
(fma.f64 (*.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 (- (* -1/8 (/ x y)) (* -1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* z (+ (* -1/2 y) (+ (* 1/8 (/ x z)) (/ t z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* z (+ (* -1/2 y) (/ t z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* z (- (* 1/8 (/ x z)) (* 1/2 y)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* -1 (* z (+ (* -1 (/ (+ t (* 1/8 x)) z)) (* 1/2 y))))
(fma.f64 (*.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 (- (* -1/8 (/ x z)) (* -1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(* t (+ 1 (+ (* -1/2 (/ (* y z) t)) (* 1/8 (/ x t)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* t (+ 1 (* 1/8 (/ x t))))
(fma.f64 #s(literal 1/8 binary64) x t)
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(* -1 (* t (- (* -1 (/ (+ (* -1/2 (* y z)) (* 1/8 x)) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* -1/8 (/ x t)) 1)))
(fma.f64 #s(literal 1/8 binary64) x t)
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)

rewrite259.0ms (4.6%)

Memory
-11.2MiB live, 190.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028118
040118
1162112
21118112
08134110
Stop Event
iter limit
node limit
iter limit
Counts
13 → 332
Calls
Call 1
Inputs
(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)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t)
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t)
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
Outputs
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (*.f64 t t)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) t)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (fma.f64 t (-.f64 t (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x t) (-.f64 (fma.f64 #s(literal 1/8 binary64) x t) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)))) #s(literal -1 binary64)))
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(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)) (*.f64 (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t) (*.f64 t t))) (*.f64 (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t) (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)))
(/.f64 (-.f64 (*.f64 t t) (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64))) (-.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (*.f64 t t))) (neg.f64 (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t (-.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (*.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t (-.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))) (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t))))
(/.f64 (-.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t))
(/.f64 (+.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (*.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t))))
(/.f64 (+.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (-.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))) (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))) (-.f64 (*.f64 t t) (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (-.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (*.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t))) (+.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)))
(-.f64 (/.f64 (*.f64 t t) (-.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)))) (/.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (-.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)))))
(-.f64 (/.f64 (pow.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) #s(literal 2 binary64)) (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)) (/.f64 (*.f64 t t) (-.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)))
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) t)
(+.f64 t #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)))
#s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))
(*.f64 (neg.f64 y) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) y)
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(*.f64 (*.f64 y z) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 y z))
(*.f64 y (neg.f64 (*.f64 z #s(literal 1/2 binary64))))
(*.f64 y (*.f64 #s(literal -1/2 binary64) z))
(*.f64 z (*.f64 #s(literal -1/2 binary64) y))
(pow.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y z))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) z))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) z)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y z)))
(/.f64 (*.f64 (neg.f64 y) z) #s(literal 2 binary64))
(/.f64 (*.f64 y z) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (neg.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y z))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y z)))

eval147.0ms (2.6%)

Memory
-7.0MiB live, 75.8MiB allocated
Compiler

Compiled 10 581 to 1 011 computations (90.4% saved)

prune8.0ms (0.1%)

Memory
25.1MiB live, 25.1MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3191320
Fresh000
Picked235
Done000
Total3214325
Accuracy
100.0%
Counts
325 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
70.5%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
60.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
30.5%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
Compiler

Compiled 64 to 58 computations (9.4% saved)

simplify31.0ms (0.5%)

Memory
-18.6MiB live, 20.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01831
02131
13731
26931
312131
420230
533130
650330
767930
881130
981330
081329
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
t
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
y
t

localize51.0ms (0.9%)

Memory
7.0MiB live, 45.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
accuracy0
(*.f64 #s(literal -1/2 binary64) z)
accuracy18.87537082329281
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
Samples
44.0ms256×0valid
Compiler

Compiled 62 to 36 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 24.0ms (70.2% of total)
ival-mult: 6.0ms (17.5% of total)
ival-add: 2.0ms (5.8% of total)
ival-sub: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
3 → 24
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(+ t (* -1/2 (* y z)))
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (/ t y)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1/2 z)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (/ t z)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
Calls

12 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))
1.0ms
z
@inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))
0.0ms
z
@0
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))
0.0ms
y
@inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))
0.0ms
y
@-inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 z) y) t) (* -1/2 z))

simplify126.0ms (2.2%)

Memory
1.3MiB live, 121.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087192
1264192
2734192
32257192
46057192
08203162
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)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
t
(+ t (* -1/2 (* y z)))
(* -1/2 (* y z))
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (/ t y)))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(* -1/2 z)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(* z (+ (* -1/2 y) (/ t z)))
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(- (* 1/8 x) (* 1/2 (* y z)))
(* t (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
Outputs
(- t (* 1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(+ t (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
t
(+ t (* -1/2 (* y z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* -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 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* y (+ (* -1/2 z) (/ t y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* -1 (* y (+ (* -1 (/ t y)) (* 1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* z (- (+ (* 1/8 (/ x z)) (/ t z)) (* 1/2 y)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* z (+ (* -1/2 y) (/ t z)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* -1 (* z (- (* -1 (/ (+ t (* 1/8 x)) z)) (* -1/2 y))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* -1 (* z (+ (* -1 (/ t z)) (* 1/2 y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(- (* 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 (- (+ 1 (* 1/8 (/ x t))) (* 1/2 (/ (* y z) t))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* t (+ 1 (* -1/2 (/ (* y z) t))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(* -1 (* t (- (* -1 (/ (- (* 1/8 x) (* 1/2 (* y z))) t)) 1)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t))
(* -1 (* t (- (* 1/2 (/ (* y z) t)) 1)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)

rewrite194.0ms (3.5%)

Memory
-6.9MiB live, 238.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01827
02127
18126
265526
0840425
Stop Event
iter limit
node limit
iter limit
Counts
3 → 114
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(*.f64 #s(literal -1/2 binary64) z)
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(*.f64 (/.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 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t) t) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t) t)))
(*.f64 (/.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 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t) t) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t) t) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 t (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))))
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(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t) t)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t) t)))))
(*.f64 (fma.f64 t t (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t)))
(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) t))
(*.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) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t) t)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t) t))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t) t)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t) 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))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t) t)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)) #s(literal -1 binary64))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 6 binary64)) (pow.f64 t #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t) t)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 9 binary64)) (pow.f64 t #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t) t)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 6 binary64)) (pow.f64 t #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.f64 t) t)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t))
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(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 1/2 binary64) t)
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)) (neg.f64 (*.f64 t (/.f64 t (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)) (neg.f64 (*.f64 t (/.f64 t (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (neg.f64 (neg.f64 t)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)) (neg.f64 (*.f64 t (/.f64 t (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) (neg.f64 (neg.f64 t)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) t)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal -1 binary64) (neg.f64 (neg.f64 t)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal -1 binary64) t)
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (neg.f64 (neg.f64 t)))
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) t)
(fma.f64 z (/.f64 (neg.f64 y) #s(literal 2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 z (/.f64 (neg.f64 y) #s(literal 2 binary64)) t)
(fma.f64 z (/.f64 y #s(literal -2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 z (/.f64 y #s(literal -2 binary64)) t)
(fma.f64 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t)))
(fma.f64 z (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) t)
(fma.f64 z (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) (neg.f64 (neg.f64 t)))
(fma.f64 z (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) t)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (neg.f64 t)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t)
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z y)) z) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)) (neg.f64 (*.f64 t (/.f64 t (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)))))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) (neg.f64 (neg.f64 t)))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (neg.f64 (neg.f64 t)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)
(-.f64 (+.f64 t #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(-.f64 (/.f64 (*.f64 t t) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t)))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t)) (*.f64 t (/.f64 t (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) t))
(-.f64 t (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) y t)) (neg.f64 (*.f64 t (/.f64 t (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (neg.f64 (neg.f64 t)))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) t)
(+.f64 t (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
(*.f64 (neg.f64 z) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 z #s(literal -1/2 binary64))
(/.f64 (neg.f64 (neg.f64 z)) #s(literal -2 binary64))
(/.f64 (neg.f64 z) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) z))
(/.f64 z #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) z)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) z))

eval103.0ms (1.8%)

Memory
-13.0MiB live, 25.9MiB allocated
Compiler

Compiled 3 997 to 413 computations (89.7% saved)

prune4.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1202122
Fresh000
Picked011
Done033
Total1206126
Accuracy
100.0%
Counts
126 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
70.5%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
69.5%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)))
60.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
30.5%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
40.5%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Compiler

Compiled 105 to 94 computations (10.5% saved)

simplify25.0ms (0.4%)

Memory
-6.6MiB live, 32.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/8 binary64) x)
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
cost-diff0
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.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
02267
02867
14767
27767
312867
420965
534465
650265
767665
880665
980865
080863
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) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
(*.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)))
(*.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) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 x #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
x

localize69.0ms (1.2%)

Memory
6.9MiB live, 89.1MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 1/8 binary64) x)
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy0.009070031620653759
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
accuracy19.523862731059893
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)))
accuracy0
(*.f64 z y)
accuracy0.19965239342519525
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
accuracy37.89688571363205
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
Samples
59.0ms256×0valid
Compiler

Compiled 130 to 45 computations (65.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 37.0ms (80% of total)
ival-add: 4.0ms (8.6% of total)
ival-div: 3.0ms (6.5% of total)
ival-sub: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.5%)

Memory
-24.0MiB live, 14.3MiB allocated
Counts
7 → 25
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(*.f64 z y)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 1/8 binary64) x)
Outputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* y z)
(* -1/2 y)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1/8 (/ 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
y
@-inf
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) (* 1/8 x)) (* -1/2 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) (+ (* (* -1/2 y) z) (* 1/8 x)) (* -1/2 y) (* 1/8 x))
1.0ms
y
@0
((+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (* -1/2 (* z y)) (* z y) (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (+ (* (* -1/2 y) z) (* 1/8 x)) (* -1/2 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) (+ (* (* -1/2 y) z) (* 1/8 x)) (* -1/2 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) (+ (* (* -1/2 y) z) (* 1/8 x)) (* -1/2 y) (* 1/8 x))

simplify196.0ms (3.5%)

Memory
20.8MiB live, 217.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087209
1262209
2741209
32063209
45402209
08226179
Stop Event
iter limit
node limit
Counts
25 → 24
Calls
Call 1
Inputs
(- t (* 1/2 (* y z)))
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* 1/8 x))
(* 1/8 x)
(* x (- (+ 1/8 (/ t x)) (* 1/2 (/ (* y z) x))))
(* x (+ 1/8 (* -1/2 (/ (* y z) x))))
(* -1 (* x (- (* -1 (/ (- t (* 1/2 (* y z))) x)) 1/8)))
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1/8)))
(+ t (* 1/8 x))
(+ t (+ (* -1/2 (* y z)) (* 1/8 x)))
(* y z)
(* -1/2 y)
(* y (- (+ (* 1/8 (/ x y)) (/ t y)) (* 1/2 z)))
(* y (+ (* -1/2 z) (* 1/8 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ t (* 1/8 x)) y)) (* -1/2 z))))
(* -1 (* y (+ (* -1/8 (/ 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) z) y t)
(- (+ t (* 1/8 x)) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1/2 (* y z))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) y)
(+ (* -1/2 (* y z)) (* 1/8 x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
(* 1/8 x)
(*.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 (* -1/2 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) 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) z) y (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) z) y (*.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) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* y z)
(*.f64 z y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) 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) (* 1/8 (/ x y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) 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) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* y (+ (* -1/8 (/ x y)) (* 1/2 z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) 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) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* z (+ (* -1/2 y) (* 1/8 (/ x z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) 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) z) y (fma.f64 #s(literal 1/8 binary64) x t))
(* -1 (* z (+ (* -1/8 (/ x z)) (* 1/2 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
(- (* 1/8 x) (* 1/2 (* y z)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (*.f64 #s(literal 1/8 binary64) x))
t
(* 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))
(* -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))

rewrite222.0ms (4%)

Memory
-22.8MiB live, 222.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02259
02859
19157
271457
0880955
Stop Event
iter limit
node limit
iter limit
Counts
7 → 131
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) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 1/8 binary64) x)
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.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 (*.f64 #s(literal -1/2 binary64) y) z)
(*.f64 #s(literal -1/2 binary64) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal -1/2 binary64))
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(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) (*.f64 x #s(literal 1/8 binary64)))
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(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))
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(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (*.f64 x #s(literal 1/8 binary64)))
(+.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))
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(*.f64 #s(literal 1/8 binary64) x)

eval108.0ms (1.9%)

Memory
2.4MiB live, 41.4MiB allocated
Compiler

Compiled 4 960 to 493 computations (90.1% saved)

prune8.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1391140
Fresh000
Picked112
Done044
Total1406146
Accuracy
100.0%
Counts
146 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/8 binary64) t))
70.5%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
69.5%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x)))
60.2%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
40.8%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
30.5%
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
Compiler

Compiled 281 to 139 computations (50.5% saved)

regimes173.0ms (3.1%)

Memory
-11.2MiB live, 64.8MiB allocated
Counts
10 → 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) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.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:

131.0ms
x
15.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
4.0ms
t
4.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
4.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1t
99.7%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
99.7%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
99.7%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
99.7%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
99.7%1(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes33.0ms (0.6%)

Memory
16.2MiB live, 58.6MiB allocated
Counts
8 → 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) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t)
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.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 (*.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) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
Calls

9 calls:

6.0ms
(+.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
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
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)))
Results
AccuracySegmentsBranch
85.0%3x
84.5%3y
85.8%4z
90.6%3t
81.9%4(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
81.0%3(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
85.0%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
91.5%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
91.5%3(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes11.0ms (0.2%)

Memory
-18.3MiB live, 20.8MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y t))
(+.f64 #s(approx (- (* (/ 1 8) x) (/ (* y z) 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) t)
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z t))
Calls

3 calls:

4.0ms
t
3.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
3.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
73.8%3t
88.7%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
88.7%3(*.f64 y z)
Compiler

Compiled 9 to 16 computations (-77.8% saved)

regimes14.0ms (0.2%)

Memory
35.7MiB live, 35.7MiB 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) (*.f64 (*.f64 #s(literal -1/2 binary64) 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 (*.f64 #s(literal -1/2 binary64) z) y))
Calls

6 calls:

2.0ms
x
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms
y
2.0ms
z
2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
74.4%3z
78.8%4y
67.6%3x
67.6%3(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
81.6%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
81.6%3(*.f64 y z)
Compiler

Compiled 16 to 32 computations (-100% saved)

regimes27.0ms (0.5%)

Memory
-30.2MiB live, 9.3MiB 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

2 calls:

25.0ms
(*.f64 y z)
2.0ms
(/.f64 (*.f64 y z) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
81.3%3(/.f64 (*.f64 y z) #s(literal 2 binary64))
81.3%3(*.f64 y z)
Compiler

Compiled 8 to 12 computations (-50% saved)

regimes55.0ms (1%)

Memory
0.3MiB live, 40.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (*.f64 #s(literal 1/8 binary64) x))
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
Outputs
#s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 #s(literal 1/8 binary64) x t))
Calls

9 calls:

41.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
2.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
2.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
60.2%1x
60.2%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
60.2%1t
60.2%1z
60.2%1y
60.2%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
60.2%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
60.2%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
60.2%1(*.f64 y z)
Compiler

Compiled 41 to 61 computations (-48.8% saved)

regimes42.0ms (0.8%)

Memory
2.4MiB live, 57.9MiB 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:

31.0ms
z
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
1.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
30.5%1x
30.5%1z
30.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
30.5%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
30.5%1(*.f64 y z)
30.5%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
30.5%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
30.5%1y
30.5%1t
Compiler

Compiled 41 to 61 computations (-48.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.106648730697361e+19
6.919096261475393e+23
0.0ms
-1.9876516304073303e-32
-4.761183428638837e-41
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.106648730697361e+19
6.919096261475393e+23
0.0ms
-6.969381829025177e+47
-1.9671057075532186e+34
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.913527839888207e+60
2.8413449859050157e+63
0.0ms
-6.969381829025177e+47
-1.9671057075532186e+34
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.913527839888207e+60
2.8413449859050157e+63
0.0ms
-6.969381829025177e+47
-1.9671057075532186e+34
Compiler

Compiled 16 to 20 computations (-25% saved)

simplify33.0ms (0.6%)

Memory
-18.8MiB live, 57.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048294
158294
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 -7307508186654515/730750818665451459101842416358141509827966271488 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))) (if (<=.f64 (*.f64 y z) #s(literal 100000000000000000000 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 -500000000000000021922921522538098677317023825920 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 100000000000000000000 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 -500000000000000021922921522538098677317023825920 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 9999999999999999493871352970740188669636450110134100730839040 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 #s(literal -1/2 binary64) z) y))))
(if (<=.f64 (*.f64 y z) #s(literal -500000000000000021922921522538098677317023825920 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 9999999999999999493871352970740188669636450110134100730839040 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 -7307508186654515/730750818665451459101842416358141509827966271488 binary64)) #s(approx (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (*.f64 #s(literal 1/8 binary64) x))) (if (<=.f64 (*.f64 y z) #s(literal 100000000000000000000 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 -500000000000000021922921522538098677317023825920 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 100000000000000000000 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 -500000000000000021922921522538098677317023825920 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 9999999999999999493871352970740188669636450110134100730839040 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 #s(literal -1/2 binary64) z) y))))
(if (<=.f64 (*.f64 y z) #s(literal -500000000000000021922921522538098677317023825920 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 9999999999999999493871352970740188669636450110134100730839040 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 #s(literal -1/2 binary64) z) y))))
(if (<=.f64 (*.f64 y z) #s(literal -500000000000000021922921522538098677317023825920 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 9999999999999999493871352970740188669636450110134100730839040 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 -500000000000000021922921522538098677317023825920 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 9999999999999999493871352970740188669636450110134100730839040 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))

soundness1.3s (22.8%)

Memory
15.8MiB live, 772.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02259
02859
19157
271457
0880955
01329
02029
16529
250329
3646929
0800426
0142366
1439366
21157366
33126366
46285366
08284309
087192
1264192
2734192
32257192
46057192
08203162
087211
1241211
2633211
31916211
45135211
08111181
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 468 to 216 computations (53.8% saved)

preprocess59.0ms (1%)

Memory
-4.2MiB live, 115.9MiB allocated
Remove

(sort y z)

Compiler

Compiled 728 to 178 computations (75.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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