Optimisation.CirclePacking:place from circle-packing-0.1.0.4, D

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze196.0ms (2.7%)

Memory
7.2MiB live, 207.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
50%49.9%49.9%0.2%0%0%0%7
50%49.9%49.9%0.2%0%0%0%8
75%74.9%25%0.2%0%0%0%9
75%74.9%25%0.2%0%0%0%10
75%74.9%25%0.2%0%0%0%11
75%74.9%25%0.2%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (14.6%)

Memory
-9.4MiB live, 1 102.5MiB allocated
Samples
753.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 407.0ms
ival-sub: 161.0ms (39.6% of total)
ival-mult: 114.0ms (28% of total)
ival-div: 83.0ms (20.4% of total)
ival-add: 39.0ms (9.6% of total)
ival-true: 6.0ms (1.5% of total)
ival-assert: 4.0ms (1% of total)
Bogosity

explain127.0ms (1.7%)

Memory
19.3MiB live, 131.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
200-0-(/.f64 (*.f64 y (-.f64 z x)) t)
00-0-(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
00-0-y
00-0-t
00-0-(*.f64 y (-.f64 z x))
00-0-(-.f64 z x)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 y (-.f64 z x)) t)o/n180
(*.f64 y (-.f64 z x))overflow54
/.f64(/.f64 (*.f64 y (-.f64 z x)) t)u/n10
(*.f64 y (-.f64 z x))underflow8
Confusion
Predicted +Predicted -
+190
-0237
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1900
-00237
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0237
119
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
40.0ms512×0valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 14.0ms (58.5% of total)
ival-sub: 3.0ms (12.5% of total)
ival-mult: 3.0ms (12.5% of total)
ival-add: 2.0ms (8.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess120.0ms (1.6%)

Memory
3.3MiB live, 87.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050138
1128128
2367126
31041126
43394126
55947126
089
0129
1189
2359
3539
41049
52199
63989
76989
812339
921999
1024589
1125529
1225699
1325709
1425709
025708
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Outputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.9%
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify64.0ms (0.9%)

Memory
-2.1MiB live, 35.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z x)
cost-diff0
(*.f64 y (-.f64 z x))
cost-diff0
(/.f64 (*.f64 y (-.f64 z x)) t)
cost-diff1
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
11828
23528
35328
410428
521928
639828
769828
8123328
9219928
10245828
11255228
12256928
13257028
14257028
0257027
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
x
(/.f64 (*.f64 y (-.f64 z x)) t)
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z
t
Outputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
x
(/.f64 (*.f64 y (-.f64 z x)) t)
(*.f64 (/.f64 y t) (-.f64 z x))
(*.f64 y (-.f64 z x))
(*.f64 (-.f64 z x) y)
y
(-.f64 z x)
z
t

localize23.0ms (0.3%)

Memory
0.7MiB live, 39.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 z x)
accuracy0.0
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
accuracy0.0078125
(*.f64 y (-.f64 z x))
accuracy4.847407032129785
(/.f64 (*.f64 y (-.f64 z x)) t)
Samples
14.0ms256×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.8% of total)
ival-mult: 2.0ms (31.8% of total)
ival-sub: 1.0ms (15.9% of total)
ival-add: 1.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series83.0ms (1.1%)

Memory
-31.9MiB live, 14.4MiB allocated
Counts
4 → 40
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
(/.f64 (*.f64 y (-.f64 z x)) t)
(*.f64 y (-.f64 z x))
(-.f64 z x)
Outputs
(/ (* y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(* y z)
(+ (* -1 (* x y)) (* y z))
z
(+ z (* -1 x))
(* x (+ 1 (* -1 (/ y t))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* -1 (/ (* x y) t))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 x)
(* x (- (/ z x) 1))
(* -1 (* x (- (/ y t) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
x
(+ x (* y (- (/ z t) (/ x t))))
(/ (* y (- z x)) t)
(* y (- z x))
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(- z x)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ 1 (* -1 (/ x z))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- (/ x z) 1)))
(/ (+ (* t x) (* y (- z x))) t)
(+ x (/ (* y (- z x)) t))
Calls

12 calls:

TimeVariablePointExpression
73.0ms
t
@-inf
((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x))
2.0ms
y
@inf
((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x))
1.0ms
y
@-inf
((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x))
1.0ms
z
@-inf
((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x))
1.0ms
x
@-inf
((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x))

simplify190.0ms (2.6%)

Memory
39.0MiB live, 147.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105347
1343309
21113241
33425241
47054241
08561230
Stop Event
iter limit
node limit
Counts
40 → 38
Calls
Call 1
Inputs
(/ (* y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(* y z)
(+ (* -1 (* x y)) (* y z))
z
(+ z (* -1 x))
(* x (+ 1 (* -1 (/ y t))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* -1 (/ (* x y) t))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 x)
(* x (- (/ z x) 1))
(* -1 (* x (- (/ y t) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
x
(+ x (* y (- (/ z t) (/ x t))))
(/ (* y (- z x)) t)
(* y (- z x))
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(- z x)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ 1 (* -1 (/ x z))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- (/ x z) 1)))
(/ (+ (* t x) (* y (- z x))) t)
(+ x (/ (* y (- z x)) t))
Outputs
(/ (* y z) t)
(/.f64 (*.f64 z y) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(fma.f64 (-.f64 z x) (/.f64 y t) x)
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(/.f64 (*.f64 (-.f64 z x) y) t)
(* y z)
(*.f64 z y)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
z
(+ z (* -1 x))
(-.f64 z x)
(* x (+ 1 (* -1 (/ y t))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(fma.f64 (-.f64 z x) (/.f64 y t) x)
(* -1 (/ (* x y) t))
(*.f64 (/.f64 (neg.f64 x) t) y)
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(/.f64 (*.f64 (-.f64 z x) y) t)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ (* y z) x)))
(*.f64 (-.f64 z x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* -1 (* x (- (/ y t) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(fma.f64 (-.f64 z x) (/.f64 y t) x)
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(/.f64 (*.f64 (-.f64 z x) y) t)
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(*.f64 (-.f64 z x) y)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
x
(+ x (* y (- (/ z t) (/ x t))))
(fma.f64 (-.f64 z x) (/.f64 y t) x)
(/ (* y (- z x)) t)
(/.f64 (*.f64 (-.f64 z x) y) t)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- (/ z t) (/ x t)))
(/.f64 (*.f64 (-.f64 z x) y) t)
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(fma.f64 (-.f64 z x) (/.f64 y t) x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(fma.f64 (-.f64 z x) (/.f64 y t) x)
(+ x (* -1 (/ (* x y) t)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(fma.f64 (-.f64 z x) (/.f64 y t) x)
(- z x)
(-.f64 z x)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(fma.f64 (-.f64 z x) (/.f64 y t) x)
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(/.f64 (*.f64 (-.f64 z x) y) t)
(* z (+ y (* -1 (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(fma.f64 (-.f64 z x) (/.f64 y t) x)
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(/.f64 (*.f64 (-.f64 z x) y) t)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)
(/ (+ (* t x) (* y (- z x))) t)
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 t x)) t)
(+ x (/ (* y (- z x)) t))
(fma.f64 (-.f64 z x) (/.f64 y t) x)

rewrite176.0ms (2.4%)

Memory
-29.8MiB live, 222.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
14924
240724
3702924
0818623
Stop Event
iter limit
node limit
iter limit
Counts
4 → 292
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
(/.f64 (*.f64 y (-.f64 z x)) t)
(*.f64 y (-.f64 z x))
(-.f64 z x)
Outputs
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (-.f64 z x) y) t) (fma.f64 (/.f64 y t) (-.f64 z x) x) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t)) (-.f64 (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)))) (fma.f64 (/.f64 y t) (-.f64 z x) x))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))))
(*.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 (-.f64 z x) y) t))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y t) (-.f64 z x) x))
(*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 y t) (-.f64 z x) x) (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 y t) (-.f64 z x) x) (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y t) (-.f64 z x) x) (/.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))))
(*.f64 (fma.f64 (/.f64 y t) (-.f64 z x) x) (*.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) (pow.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y t) (-.f64 z x) x)) #s(literal -1 binary64))
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(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 x x))) (*.f64 (+.f64 z x) (+.f64 z x)))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 z x) (fma.f64 z z (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 z x) (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) z) (*.f64 z z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) z) (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) z) (*.f64 z z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z)))
(neg.f64 (neg.f64 (-.f64 z x)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z x) x) (-.f64 (*.f64 (+.f64 z x) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (/.f64 (*.f64 z z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x (-.f64 x z))) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) x (*.f64 z z))) (-.f64 z x) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 #s(literal -1 binary64) x z)
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (*.f64 z z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 z (/.f64 z (+.f64 z x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 x #s(literal -1 binary64) z)
(-.f64 (+.f64 z #s(literal 0 binary64)) x)
(-.f64 (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 x (/.f64 x (+.f64 z x))))
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(-.f64 #s(literal 0 binary64) (-.f64 x z))
(-.f64 z x)
(+.f64 (*.f64 z (/.f64 z (+.f64 z x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(+.f64 (neg.f64 x) z)
(+.f64 z (neg.f64 x))

eval53.0ms (0.7%)

Memory
5.3MiB live, 80.8MiB allocated
Compiler

Compiled 6 951 to 1 079 computations (84.5% saved)

prune94.0ms (1.3%)

Memory
-12.7MiB live, 34.3MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New29311304
Fresh000
Picked101
Done000
Total29411305
Accuracy
100.0%
Counts
305 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.0%
(fma.f64 (/.f64 (-.f64 z x) t) y x)
97.3%
(fma.f64 (/.f64 y t) (-.f64 z x) x)
92.9%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) (-.f64 z x)) x)
97.2%
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)
92.1%
(+.f64 x (/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t))
93.9%
(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
73.1%
(+.f64 x (/.f64 #s(approx (* y (- z x)) (*.f64 z y)) t))
94.0%
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
56.9%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
35.4%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
67.4%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x))
Compiler

Compiled 266 to 216 computations (18.8% saved)

simplify85.0ms (1.2%)

Memory
21.3MiB live, 60.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(-.f64 z x)
cost-diff0
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)
cost-diff3
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
cost-diff0
(-.f64 z x)
cost-diff0
(/.f64 (-.f64 z x) t)
cost-diff0
(fma.f64 (/.f64 (-.f64 z x) t) y x)
cost-diff0
(-.f64 z x)
cost-diff0
(*.f64 (-.f64 z x) y)
cost-diff0
(/.f64 (*.f64 (-.f64 z x) y) t)
cost-diff0
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
cost-diff0
(*.f64 z y)
cost-diff0
(/.f64 (*.f64 z y) t)
cost-diff0
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
cost-diff0
(-.f64 z x)
cost-diff0
(/.f64 y t)
cost-diff0
(fma.f64 (/.f64 y t) (-.f64 z x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024130
040122
164122
2123122
3346122
41129122
52092122
63301122
73535122
83550122
93557122
103558122
03558122
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(/.f64 y t)
y
t
(-.f64 z x)
z
x
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
(/.f64 (*.f64 z y) t)
(*.f64 z y)
z
y
t
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
(/.f64 (*.f64 (-.f64 z x) y) t)
(*.f64 (-.f64 z x) y)
(-.f64 z x)
z
x
y
t
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(/.f64 (-.f64 z x) t)
(-.f64 z x)
z
x
t
y
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)
(-.f64 z x)
z
x
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
(neg.f64 y)
y
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
Outputs
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(/.f64 y t)
y
t
(-.f64 z x)
z
x
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
(/.f64 (*.f64 z y) t)
(*.f64 z y)
z
y
t
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
(/.f64 (*.f64 (-.f64 z x) y) t)
(*.f64 (-.f64 z x) y)
(-.f64 z x)
z
x
y
t
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(/.f64 (-.f64 z x) t)
(-.f64 z x)
z
x
t
y
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(-.f64 z x)
z
x
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
(/.f64 y t)
(neg.f64 y)
y
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t

localize173.0ms (2.4%)

Memory
-19.9MiB live, 135.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 z x)
accuracy0.0
(neg.f64 y)
accuracy0.2109375
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
accuracy1.741869510189492
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)
accuracy0.0
(-.f64 z x)
accuracy0.01953125
(/.f64 (-.f64 z x) t)
accuracy3.8523684533984004
(fma.f64 (/.f64 (-.f64 z x) t) y x)
accuracy0.0
(-.f64 z x)
accuracy0.0078125
(*.f64 (-.f64 z x) y)
accuracy4.847407032129785
(/.f64 (*.f64 (-.f64 z x) y) t)
accuracy24.693189013682346
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
accuracy0.0
(*.f64 z y)
accuracy3.6576856306415526
(/.f64 (*.f64 z y) t)
accuracy39.421404326169736
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
accuracy0.0
(/.f64 y t)
accuracy0.0
(-.f64 z x)
accuracy1.741869510189492
(fma.f64 (/.f64 y t) (-.f64 z x) x)
Samples
138.0ms256×0valid
Compiler

Compiled 121 to 26 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-mult: 70.0ms (61.5% of total)
ival-div: 33.0ms (29% of total)
ival-add: 7.0ms (6.1% of total)
ival-sub: 2.0ms (1.8% of total)
ival-neg: 2.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
32.9MiB live, 32.9MiB allocated
Counts
14 → 50
Calls
Call 1
Inputs
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(/.f64 y t)
(-.f64 z x)
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
(/.f64 (*.f64 z y) t)
(*.f64 z y)
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
(/.f64 (*.f64 (-.f64 z x) y) t)
(*.f64 (-.f64 z x) y)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(/.f64 (-.f64 z x) t)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)
(neg.f64 y)
Outputs
(/ (* y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
z
(+ z (* -1 x))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(* y z)
(+ (* -1 (* x y)) (* y z))
(/ z t)
(+ (* -1 (/ x t)) (/ z t))
(* x (+ 1 (* -1 (/ y t))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* -1 x)
(* x (- (/ z x) 1))
(* -1 (/ (* x y) t))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 (/ x t))
(* x (- (/ z (* t x)) (/ 1 t)))
(* -1 (* x (- (/ y t) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t))))
x
(+ x (* y (- (/ z t) (/ x t))))
(/ y t)
(/ (* y (- z x)) t)
(* y (- z x))
(* -1 y)
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(- z x)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ (* -1 (/ x (* t z))) (/ 1 t)))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- (/ x (* t z)) (/ 1 t))))
(/ (+ (* t x) (* y (- z x))) t)
(/ (- z x) t)
(+ x (/ (* y (- z x)) t))
Calls

12 calls:

TimeVariablePointExpression
5.0ms
t
@-inf
((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (* (neg y) (/ -1 t)) (+ (* (- z x) (* (neg y) (/ -1 t))) x) (neg y))
2.0ms
y
@-inf
((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (* (neg y) (/ -1 t)) (+ (* (- z x) (* (neg y) (/ -1 t))) x) (neg y))
2.0ms
z
@-inf
((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (* (neg y) (/ -1 t)) (+ (* (- z x) (* (neg y) (/ -1 t))) x) (neg y))
2.0ms
y
@inf
((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (* (neg y) (/ -1 t)) (+ (* (- z x) (* (neg y) (/ -1 t))) x) (neg y))
1.0ms
t
@inf
((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (* (neg y) (/ -1 t)) (+ (* (- z x) (* (neg y) (/ -1 t))) x) (neg y))

simplify211.0ms (2.9%)

Memory
-20.5MiB live, 137.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122286
1397283
21302283
33962283
47537283
08020272
Stop Event
iter limit
node limit
Counts
50 → 48
Calls
Call 1
Inputs
(/ (* y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
z
(+ z (* -1 x))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(* y z)
(+ (* -1 (* x y)) (* y z))
(/ z t)
(+ (* -1 (/ x t)) (/ z t))
(* x (+ 1 (* -1 (/ y t))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* -1 x)
(* x (- (/ z x) 1))
(* -1 (/ (* x y) t))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 (/ x t))
(* x (- (/ z (* t x)) (/ 1 t)))
(* -1 (* x (- (/ y t) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t))))
x
(+ x (* y (- (/ z t) (/ x t))))
(/ y t)
(/ (* y (- z x)) t)
(* y (- z x))
(* -1 y)
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(- z x)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ (* -1 (/ x (* t z))) (/ 1 t)))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- (/ x (* t z)) (/ 1 t))))
(/ (+ (* t x) (* y (- z x))) t)
(/ (- z x) t)
(+ x (/ (* y (- z x)) t))
Outputs
(/ (* y z) t)
(/.f64 (*.f64 z y) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
z
(+ z (* -1 x))
(-.f64 z x)
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(/.f64 (*.f64 (-.f64 z x) y) t)
(* y z)
(*.f64 z y)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
(/ z t)
(/.f64 z t)
(+ (* -1 (/ x t)) (/ z t))
(/.f64 (-.f64 z x) t)
(* x (+ 1 (* -1 (/ y t))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* -1 (/ (* x y) t))
(*.f64 (/.f64 (neg.f64 x) t) y)
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(/.f64 (*.f64 (-.f64 z x) y) t)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ (* y z) x)))
(*.f64 (-.f64 z x) y)
(* -1 (/ x t))
(/.f64 (neg.f64 x) t)
(* x (- (/ z (* t x)) (/ 1 t)))
(/.f64 (-.f64 z x) t)
(* -1 (* x (- (/ y t) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(/.f64 (*.f64 (-.f64 z x) y) t)
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(*.f64 (-.f64 z x) y)
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t))))
(/.f64 (-.f64 z x) t)
x
(+ x (* y (- (/ z t) (/ x t))))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(/ y t)
(/.f64 y t)
(/ (* y (- z x)) t)
(/.f64 (*.f64 (-.f64 z x) y) t)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ z t) (/ x t)))
(/.f64 (*.f64 (-.f64 z x) y) t)
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(+ x (* -1 (/ (* x y) t)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(- z x)
(-.f64 z x)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(/.f64 (*.f64 (-.f64 z x) y) t)
(* z (+ y (* -1 (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* z (+ (* -1 (/ x (* t z))) (/ 1 t)))
(/.f64 (-.f64 z x) t)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(/.f64 (*.f64 (-.f64 z x) y) t)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* -1 (* z (- (/ x (* t z)) (/ 1 t))))
(/.f64 (-.f64 z x) t)
(/ (+ (* t x) (* y (- z x))) t)
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t)
(/ (- z x) t)
(/.f64 (-.f64 z x) t)
(+ x (/ (* y (- z x)) t))
(fma.f64 (/.f64 y t) (-.f64 z x) x)

rewrite565.0ms (7.7%)

Memory
-0.5MiB live, 199.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02498
04090
115790
2103990
0887890
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 288
Calls
Call 1
Inputs
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(/.f64 y t)
(-.f64 z x)
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
(/.f64 (*.f64 z y) t)
(*.f64 z y)
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
(/.f64 (*.f64 (-.f64 z x) y) t)
(*.f64 (-.f64 z x) y)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(/.f64 (-.f64 z x) t)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)
(neg.f64 y)
Outputs
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x z) (/.f64 y t) x)))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 (-.f64 z x) t) y))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x z) (/.f64 y t) x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x) (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)) (*.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)) (*.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x) (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) (/.f64 y t) x))
(*.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x) (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x z) (/.f64 y t) x))))
(*.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x) (*.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) (/.f64 y t) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x)))) (fma.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x z) (/.f64 y t) x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 (-.f64 z x) t) y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (*.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 x z) (/.f64 y t) x))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 (-.f64 z x) t) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) (/.f64 y t) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) (/.f64 y t) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) (/.f64 y t) x))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x))))
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(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)))))
(+.f64 (*.f64 (/.f64 (-.f64 z x) t) y) x)
(+.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 (neg.f64 x) t) y x))
(+.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 (neg.f64 y) t) x x))
(+.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))
(*.f64 (neg.f64 (*.f64 y y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) y)
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 y y)) y)
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))

eval439.0ms (6%)

Memory
-3.8MiB live, 235.4MiB allocated
Compiler

Compiled 24 785 to 2 670 computations (89.2% saved)

prune50.0ms (0.7%)

Memory
16.6MiB live, 56.1MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1 086101 096
Fresh516
Picked325
Done000
Total1 094131 107
Accuracy
100.0%
Counts
1 107 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.5%
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
74.4%
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
67.5%
(fma.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)
93.9%
(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
56.1%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t))
56.9%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
28.4%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
35.4%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
36.3%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z)))
36.3%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
58.7%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x)))
37.9%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
28.1%
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y)))
Compiler

Compiled 382 to 277 computations (27.5% saved)

simplify97.0ms (1.3%)

Memory
11.1MiB live, 50.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028175
044169
178163
2146163
3341163
4643163
5992163
61280163
71837163
82245163
92701163
102873163
112906163
122908163
132908163
02908160
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
x
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))
(*.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)
(/.f64 #s(literal 1 binary64) (-.f64 z x))
(-.f64 z x)
z
t
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
y
t
z
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (/ (- z x) t) (/.f64 z t))
(/.f64 z t)
z
t
y
x
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
(/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)
(*.f64 #s(approx (- z x) (neg.f64 x)) y)
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
x
y
t
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
(/.f64 y t)
y
t
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
x
Outputs
(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
(fma.f64 (/.f64 (-.f64 z x) t) y x)
x
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))
(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 #s(literal 1 binary64) y)
y
#s(literal 1 binary64)
y
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)
(/.f64 t (-.f64 z x))
(/.f64 #s(literal 1 binary64) (-.f64 z x))
(/.f64 #s(literal -1 binary64) (-.f64 x z))
(-.f64 z x)
z
t
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
y
t
z
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (/ (- z x) t) (/.f64 z t))
(/.f64 z t)
z
t
y
x
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t)))
(/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)
(*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t))
(*.f64 #s(approx (- z x) (neg.f64 x)) y)
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
x
y
t
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
(fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) x)
(/.f64 y t)
y
t
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
x

localize359.0ms (4.9%)

Memory
-47.0MiB live, 132.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 y t)
accuracy0.0
(neg.f64 x)
accuracy1.741869510189492
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
accuracy29.580944305811123
#s(approx (- z x) (neg.f64 x))
accuracy0.0078125
(*.f64 #s(approx (- z x) (neg.f64 x)) y)
accuracy4.847407032129785
(/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)
accuracy24.693189013682346
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
accuracy29.580944305811123
#s(approx (- z x) (neg.f64 x))
accuracy0.0
(/.f64 z t)
accuracy3.8523684533984004
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
accuracy30.41330084891456
#s(approx (/ (- z x) t) (/.f64 z t))
accuracy0.0
(/.f64 y t)
accuracy5.083086782056764
(*.f64 (/.f64 y t) z)
accuracy39.421404326169736
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
accuracy0.0
(*.f64 #s(literal 1 binary64) y)
accuracy0.03125
(/.f64 #s(literal 1 binary64) (-.f64 z x))
accuracy0.19140625
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)
accuracy4.1788721426055435
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))
Samples
259.0ms256×0valid
Compiler

Compiled 139 to 27 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 242.0ms
ival-mult: 105.0ms (43.4% of total)
ival-neg: 64.0ms (26.4% of total)
ival-add: 60.0ms (24.8% of total)
ival-div: 11.0ms (4.5% of total)
ival-sub: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
35.2MiB live, 35.2MiB allocated
Counts
17 → 91
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)
(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (/ (- z x) t) (/.f64 z t))
(/.f64 z t)
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
(/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)
(*.f64 #s(approx (- z x) (neg.f64 x)) y)
#s(approx (- z x) (neg.f64 x))
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (-.f64 z x))
Outputs
(/ t z)
(+ (/ t z) (/ (* t x) (pow z 2)))
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z))
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z))
(/ (* y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(/ z t)
(+ (* -1 (/ x t)) (/ z t))
(* y z)
(+ (* -1 (* x y)) (* y z))
z
(+ z (* -1 x))
(* -1 x)
(/ 1 z)
(+ (/ 1 z) (/ x (pow z 2)))
(+ (* x (+ (/ 1 (pow z 2)) (/ x (pow z 3)))) (/ 1 z))
(+ (* x (+ (* x (+ (/ 1 (pow z 3)) (/ x (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z))
(* -1 (/ t x))
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x)
(* x (+ 1 (* -1 (/ y t))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* -1 (/ (* x y) t))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* -1 (/ x t))
(* x (- (/ z (* t x)) (/ 1 t)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (- (/ z x) 1))
(/ -1 x)
(/ (- (* -1 (/ z x)) 1) x)
(/ (- (* -1 (/ (pow z 2) (pow x 2))) (+ 1 (/ z x))) x)
(/ (- (* -1 (/ (pow z 3) (pow x 3))) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) x)
(* -1 (/ (+ t (/ (* t z) x)) x))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x))
(* -1 (* x (- (/ y t) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (/ (+ 1 (/ z x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (* -1 (pow z 2))) x)) z) x))) x))
y
x
(+ x (* y (- (/ z t) (/ x t))))
(/ (* y (- z x)) t)
(/ y t)
(* y (- z x))
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2))))
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2)))))
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2)))))
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(- z x)
(- (* -1 (/ z (pow x 2))) (/ 1 x))
(- (* z (- (* -1 (/ z (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* z (- (* z (- (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ (+ t (/ (* t x) z)) z)
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z)
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ (* -1 (/ x (* t z))) (/ 1 t)))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ 1 (* -1 (/ x z))))
(/ (+ 1 (/ x z)) z)
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (* -1 (/ x z))) z)
(/ (- (+ 1 (/ (pow x 3) (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ (pow x 2) (pow z 2))))) z)
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (- (/ x (* t z)) (/ 1 t))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- (/ x z) 1)))
(* -1 (/ (- (* -1 (/ x z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) (* -1 x)) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) z)) (pow x 2)) z)) (* -1 x)) z)) 1) z))
(/ t (- z x))
(/ (+ (* t x) (* y (- z x))) t)
(/ (- z x) t)
(+ x (/ (* y (- z x)) t))
Calls

12 calls:

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

simplify166.0ms (2.3%)

Memory
-14.4MiB live, 136.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03471088
110561008
23162937
08372893
Stop Event
iter limit
node limit
Counts
91 → 88
Calls
Call 1
Inputs
(/ t z)
(+ (/ t z) (/ (* t x) (pow z 2)))
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z))
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z))
(/ (* y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(/ z t)
(+ (* -1 (/ x t)) (/ z t))
(* y z)
(+ (* -1 (* x y)) (* y z))
z
(+ z (* -1 x))
(* -1 x)
(/ 1 z)
(+ (/ 1 z) (/ x (pow z 2)))
(+ (* x (+ (/ 1 (pow z 2)) (/ x (pow z 3)))) (/ 1 z))
(+ (* x (+ (* x (+ (/ 1 (pow z 3)) (/ x (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z))
(* -1 (/ t x))
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x)
(* x (+ 1 (* -1 (/ y t))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* -1 (/ (* x y) t))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* -1 (/ x t))
(* x (- (/ z (* t x)) (/ 1 t)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (- (/ z x) 1))
(/ -1 x)
(/ (- (* -1 (/ z x)) 1) x)
(/ (- (* -1 (/ (pow z 2) (pow x 2))) (+ 1 (/ z x))) x)
(/ (- (* -1 (/ (pow z 3) (pow x 3))) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) x)
(* -1 (/ (+ t (/ (* t z) x)) x))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x))
(* -1 (* x (- (/ y t) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (/ (+ 1 (/ z x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (* -1 (pow z 2))) x)) z) x))) x))
y
x
(+ x (* y (- (/ z t) (/ x t))))
(/ (* y (- z x)) t)
(/ y t)
(* y (- z x))
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2))))
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2)))))
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2)))))
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(- z x)
(- (* -1 (/ z (pow x 2))) (/ 1 x))
(- (* z (- (* -1 (/ z (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* z (- (* z (- (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ (+ t (/ (* t x) z)) z)
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z)
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ (* -1 (/ x (* t z))) (/ 1 t)))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ 1 (* -1 (/ x z))))
(/ (+ 1 (/ x z)) z)
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (* -1 (/ x z))) z)
(/ (- (+ 1 (/ (pow x 3) (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ (pow x 2) (pow z 2))))) z)
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (- (/ x (* t z)) (/ 1 t))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- (/ x z) 1)))
(* -1 (/ (- (* -1 (/ x z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) (* -1 x)) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) z)) (pow x 2)) z)) (* -1 x)) z)) 1) z))
(/ t (- z x))
(/ (+ (* t x) (* y (- z x))) t)
(/ (- z x) t)
(+ x (/ (* y (- z x)) t))
Outputs
(/ t z)
(/.f64 t z)
(+ (/ t z) (/ (* t x) (pow z 2)))
(*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 t z))
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z))
(fma.f64 (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 (/.f64 t z) z)) x (/.f64 t z))
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) t (/.f64 t (pow.f64 z #s(literal 3 binary64)))) x (/.f64 (/.f64 t z) z)) x (/.f64 t z))
(/ (* y z) t)
(/.f64 (*.f64 z y) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(/.f64 (*.f64 (-.f64 z x) y) t)
(/ z t)
(/.f64 z t)
(+ (* -1 (/ x t)) (/ z t))
(/.f64 (-.f64 z x) t)
(* y z)
(*.f64 z y)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
z
(+ z (* -1 x))
(-.f64 z x)
(* -1 x)
(neg.f64 x)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (/ 1 z) (/ x (pow z 2)))
(/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)
(+ (* x (+ (/ 1 (pow z 2)) (/ x (pow z 3)))) (/ 1 z))
(fma.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) x (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z))
(+ (* x (+ (* x (+ (/ 1 (pow z 3)) (/ x (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z))
(fma.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) x (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z))
(* -1 (/ t x))
(/.f64 t (neg.f64 x))
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x)
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x)
(/.f64 (fma.f64 (/.f64 t x) (fma.f64 z (/.f64 z x) z) t) (neg.f64 x))
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x)
(/.f64 (neg.f64 (fma.f64 (/.f64 t x) (fma.f64 z (/.f64 z x) z) (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) t t))) x)
(* x (+ 1 (* -1 (/ y t))))
(fma.f64 (neg.f64 y) (/.f64 x t) x)
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(fma.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)
(* -1 (/ (* x y) t))
(*.f64 (/.f64 (neg.f64 x) t) y)
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(*.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(* -1 (/ x t))
(/.f64 (neg.f64 x) t)
(* x (- (/ z (* t x)) (/ 1 t)))
(*.f64 (-.f64 (/.f64 (/.f64 z t) x) (/.f64 #s(literal 1 binary64) t)) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ (* y z) x)))
(*.f64 (*.f64 y (-.f64 (/.f64 z x) #s(literal 1 binary64))) x)
(* x (- (/ z x) 1))
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 (/ z x)) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x)
(/ (- (* -1 (/ (pow z 2) (pow x 2))) (+ 1 (/ z x))) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) x)
(/ (- (* -1 (/ (pow z 3) (pow x 3))) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) x)
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) x)
(* -1 (/ (+ t (/ (* t z) x)) x))
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x))
(/.f64 (fma.f64 (/.f64 t x) (fma.f64 z (/.f64 z x) z) t) (neg.f64 x))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 t (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) x) (*.f64 t z)) x) t) (neg.f64 x))
(* -1 (* x (- (/ y t) 1)))
(fma.f64 (neg.f64 y) (/.f64 x t) x)
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(fma.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(*.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t))))
(*.f64 (-.f64 (/.f64 (/.f64 z t) x) (/.f64 #s(literal 1 binary64) t)) x)
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(*.f64 (*.f64 y (-.f64 (/.f64 z x) #s(literal 1 binary64))) x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (/ z x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (* -1 (pow z 2))) x)) z) x))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) x) z) x) #s(literal 1 binary64)) (neg.f64 x))
y
x
(+ x (* y (- (/ z t) (/ x t))))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(/ (* y (- z x)) t)
(/.f64 (*.f64 (-.f64 z x) y) t)
(/ y t)
(/.f64 y t)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- (/ z t) (/ x t)))
(/.f64 (*.f64 (-.f64 z x) y) t)
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(*.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 z x) t)) y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 z x) t)) y)
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2))))
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2)))))
(fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) (/.f64 (/.f64 t x) x))) z (/.f64 t (neg.f64 x)))
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2)))))
(fma.f64 (neg.f64 (*.f64 z (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) t (/.f64 t (pow.f64 x #s(literal 3 binary64)))))) z (*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x))))
(+ x (* -1 (/ (* x y) t)))
(fma.f64 (neg.f64 y) (/.f64 x t) x)
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(- z x)
(-.f64 z x)
(- (* -1 (/ z (pow x 2))) (/ 1 x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x)
(- (* z (- (* -1 (/ z (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) x)
(- (* z (- (* z (- (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64)))) z) z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x))
(/ (+ t (/ (* t x) z)) z)
(/.f64 (fma.f64 x (/.f64 t z) t) z)
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z)
(/.f64 (fma.f64 (/.f64 t z) (fma.f64 x (/.f64 x z) x) t) z)
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z)
(/.f64 (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) t (fma.f64 (/.f64 t z) (fma.f64 x (/.f64 x z) x) t)) z)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y t) (/.f64 x z)) z)
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y t)) z)
(* z (+ (* -1 (/ x (* t z))) (/ 1 t)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (/.f64 x z) t)) z)
(* z (+ y (* -1 (/ (* x y) z))))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 x z) y) z)
(* z (+ 1 (* -1 (/ x z))))
(fma.f64 (/.f64 (neg.f64 x) z) z z)
(/ (+ 1 (/ x z)) z)
(/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (* -1 (/ x z))) z)
(/.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 x z) #s(literal 1 binary64)) z)
(/ (- (+ 1 (/ (pow x 3) (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ (pow x 2) (pow z 2))))) z)
(/.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 x z) (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1 binary64))) z)
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z))
(/.f64 (fma.f64 x (/.f64 t z) t) z)
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z))
(/.f64 (fma.f64 (/.f64 t z) (fma.f64 x (/.f64 x z) x) t) z)
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z))
(/.f64 (+.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 x (fma.f64 x (/.f64 x z) x)) z) (*.f64 t x)) z) t) z)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y t) (/.f64 x z)) z)
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y t)) z)
(* -1 (* z (- (/ x (* t z)) (/ 1 t))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (/.f64 x z) t)) z)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 x z) y) z)
(* -1 (* z (- (/ x z) 1)))
(fma.f64 (/.f64 (neg.f64 x) z) z z)
(* -1 (/ (- (* -1 (/ x z)) 1) z))
(/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) (* -1 x)) z)) 1) z))
(/.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 x z) #s(literal 1 binary64)) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) z)) (pow x 2)) z)) (* -1 x)) z)) 1) z))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 x z) x)) z) x) z) #s(literal 1 binary64)) z)
(/ t (- z x))
(/.f64 t (-.f64 z x))
(/ (+ (* t x) (* y (- z x))) t)
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 t x)) t)
(/ (- z x) t)
(/.f64 (-.f64 z x) t)
(+ x (/ (* y (- z x)) t))
(fma.f64 (/.f64 y t) (-.f64 z x) x)

rewrite236.0ms (3.2%)

Memory
1.2MiB live, 157.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028143
044137
1174131
21355131
08507128
Stop Event
iter limit
node limit
iter limit
Counts
17 → 449
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)
(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (/ (- z x) t) (/.f64 z t))
(/.f64 z t)
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
(/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)
(*.f64 #s(approx (- z x) (neg.f64 x)) y)
#s(approx (- z x) (neg.f64 x))
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (-.f64 z x))
Outputs
(*.f64 #s(literal -1 binary64) (neg.f64 y))
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(/.f64 (neg.f64 y) #s(literal -1 binary64))
(/.f64 y #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))
(neg.f64 (neg.f64 y))
(-.f64 #s(literal 0 binary64) (neg.f64 y))
y
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 z x)))
(*.f64 (pow.f64 (*.f64 (+.f64 x z) (-.f64 z x)) #s(literal -1 binary64)) (/.f64 t (pow.f64 (+.f64 x z) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 t (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x z) #s(literal -1 binary64))))
(*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) (+.f64 x z))
(*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x z) (*.f64 z z)))
(*.f64 (*.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 z x)))
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (-.f64 z x)))
(*.f64 #s(literal -1 binary64) (/.f64 t (fma.f64 #s(literal -1 binary64) z x)))
(*.f64 (/.f64 t (-.f64 z x)) #s(literal 1 binary64))
(*.f64 t (pow.f64 (-.f64 z x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) t)
(*.f64 #s(literal 1 binary64) (/.f64 t (-.f64 z x)))
(pow.f64 (/.f64 (-.f64 z x) t) #s(literal -1 binary64))
(pow.f64 (/.f64 t (-.f64 z x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 t #s(literal -1 binary64))) (-.f64 z x))
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(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z)))
(*.f64 (pow.f64 (-.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (+.f64 x z) (pow.f64 (*.f64 (+.f64 x z) (-.f64 z x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 z x)))
(*.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 z x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 z x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 z x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 z x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 x z)) (neg.f64 (*.f64 (+.f64 x z) (-.f64 z x))))
(/.f64 (neg.f64 (fma.f64 x (+.f64 x z) (*.f64 z z))) (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))
(/.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) z x))
(/.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 z x))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 z x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 z x)))
(exp.f64 (*.f64 (log.f64 (-.f64 z x)) #s(literal -1 binary64)))

eval184.0ms (2.5%)

Memory
12.7MiB live, 96.0MiB allocated
Compiler

Compiled 11 420 to 1 555 computations (86.4% saved)

prune18.0ms (0.2%)

Memory
8.5MiB live, 45.5MiB allocated
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New5424546
Fresh246
Picked145
Done022
Total54514559
Accuracy
100.0%
Counts
559 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.5%
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
67.5%
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x)
74.4%
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
93.9%
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
56.1%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t))
56.9%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
28.4%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
35.4%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
36.3%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z)))
28.1%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y))
36.3%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
58.7%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x)))
29.2%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))))
37.9%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
Compiler

Compiled 352 to 255 computations (27.6% saved)

simplify109.0ms (1.5%)

Memory
-3.6MiB live, 34.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) t)
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x)
cost-diff3
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
cost-diff0
(/.f64 t z)
cost-diff0
(/.f64 y (/.f64 t z))
cost-diff0
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z)))
cost-diff0
#s(approx (- z x) (neg.f64 x))
cost-diff0
(/.f64 #s(approx (- z x) (neg.f64 x)) t)
cost-diff0
(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)
cost-diff0
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y))
cost-diff0
(/.f64 z t)
cost-diff0
(*.f64 (/.f64 z t) y)
cost-diff0
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 z x))
cost-diff0
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))
cost-diff1
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
cost-diff2
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030178
047178
181170
2146166
3344166
4932166
52471166
63432166
73912166
84307166
94321166
104325166
114325166
124337166
134339166
04339162
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
x
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))
y
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)
(/.f64 #s(literal 1 binary64) (-.f64 z x))
#s(literal 1 binary64)
(-.f64 z x)
z
t
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
(*.f64 (/.f64 z t) y)
(/.f64 z t)
z
t
y
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y))
(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)
(/.f64 #s(approx (- z x) (neg.f64 x)) t)
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
x
t
y
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z)))
(/.f64 y (/.f64 t z))
y
(/.f64 t z)
t
z
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
(neg.f64 y)
y
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
x
Outputs
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
(fma.f64 (/.f64 (-.f64 z x) t) y x)
x
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))
(*.f64 (/.f64 (-.f64 z x) t) y)
y
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)
(/.f64 t (-.f64 z x))
(/.f64 #s(literal 1 binary64) (-.f64 z x))
(/.f64 #s(literal -1 binary64) (-.f64 x z))
#s(literal 1 binary64)
(-.f64 z x)
z
t
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
(*.f64 (/.f64 z t) y)
(/.f64 z t)
z
t
y
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))))
(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)
(*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))
(/.f64 #s(approx (- z x) (neg.f64 x)) t)
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
x
t
y
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z)))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
(/.f64 y (/.f64 t z))
(*.f64 (/.f64 z t) y)
y
(/.f64 t z)
t
z
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x)
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
(/.f64 y t)
(neg.f64 y)
y
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
x

localize95.0ms (1.3%)

Memory
-18.3MiB live, 105.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.2109375
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
accuracy1.741869510189492
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x)
accuracy29.580944305811123
#s(approx (- z x) (neg.f64 x))
accuracy0.0
(/.f64 t z)
accuracy3.9243660195420147
(/.f64 y (/.f64 t z))
accuracy39.421404326169736
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z)))
accuracy0.01953125
(/.f64 #s(approx (- z x) (neg.f64 x)) t)
accuracy4.206700836263624
(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)
accuracy24.693189013682346
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y))
accuracy29.580944305811123
#s(approx (- z x) (neg.f64 x))
accuracy0.0
(/.f64 z t)
accuracy3.873072023680997
(*.f64 (/.f64 z t) y)
accuracy39.421404326169736
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
accuracy0.0
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
accuracy0.03125
(/.f64 #s(literal 1 binary64) (-.f64 z x))
accuracy0.19140625
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)
accuracy4.1788721426055435
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))
Samples
73.0ms256×0valid
Compiler

Compiled 143 to 28 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 20.0ms (50.3% of total)
ival-mult: 9.0ms (22.7% of total)
ival-neg: 5.0ms (12.6% of total)
ival-add: 3.0ms (7.6% of total)
ival-sub: 2.0ms (5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-4.5MiB live, 33.8MiB allocated
Counts
19 → 84
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))
(/.f64 #s(literal 1 binary64) (-.f64 z x))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
(*.f64 (/.f64 z t) y)
(/.f64 z t)
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y))
(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)
(/.f64 #s(approx (- z x) (neg.f64 x)) t)
#s(approx (- z x) (neg.f64 x))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z)))
(/.f64 y (/.f64 t z))
(/.f64 t z)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x)
(neg.f64 y)
(/.f64 #s(literal -1 binary64) t)
(neg.f64 x)
Outputs
(/ t z)
(+ (/ t z) (/ (* t x) (pow z 2)))
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z))
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z))
(/ (* y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(/ 1 z)
(+ (/ 1 z) (/ x (pow z 2)))
(+ (* x (+ (/ 1 (pow z 2)) (/ x (pow z 3)))) (/ 1 z))
(+ (* x (+ (* x (+ (/ 1 (pow z 3)) (/ x (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z))
(/ z t)
(+ (* -1 (/ x t)) (/ z t))
z
(+ z (* -1 x))
(* -1 x)
(* -1 (/ t x))
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x)
(* x (+ 1 (* -1 (/ y t))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* -1 (/ (* x y) t))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(/ -1 x)
(/ (- (* -1 (/ z x)) 1) x)
(/ (- (* -1 (/ (pow z 2) (pow x 2))) (+ 1 (/ z x))) x)
(/ (- (* -1 (/ (pow z 3) (pow x 3))) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) x)
(* -1 (/ x t))
(* x (- (/ z (* t x)) (/ 1 t)))
(* x (- (/ z x) 1))
(* -1 (/ (+ t (/ (* t z) x)) x))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x))
(* -1 (* x (- (/ y t) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(* -1 (/ (+ 1 (/ z x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (* -1 (pow z 2))) x)) z) x))) x))
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
x
(+ x (* y (- (/ z t) (/ x t))))
(/ (* y (- z x)) t)
(/ y t)
(* -1 y)
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2))))
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2)))))
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2)))))
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(- (* -1 (/ z (pow x 2))) (/ 1 x))
(- (* z (- (* -1 (/ z (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* z (- (* z (- (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(- z x)
(/ (+ t (/ (* t x) z)) z)
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z)
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(/ (+ 1 (/ x z)) z)
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (* -1 (/ x z))) z)
(/ (- (+ 1 (/ (pow x 3) (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ (pow x 2) (pow z 2))))) z)
(* z (+ (* -1 (/ x (* t z))) (/ 1 t)))
(* z (+ 1 (* -1 (/ x z))))
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (/ (- (* -1 (/ x z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) (* -1 x)) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) z)) (pow x 2)) z)) (* -1 x)) z)) 1) z))
(* -1 (* z (- (/ x (* t z)) (/ 1 t))))
(* -1 (* z (- (/ x z) 1)))
(/ t (- z x))
(/ (+ (* t x) (* y (- z x))) t)
(/ (- z x) t)
(/ -1 t)
(+ x (/ (* y (- z x)) t))
Calls

12 calls:

TimeVariablePointExpression
5.0ms
t
@inf
((* (/ 1 (- z x)) t) (+ x (/ y (* (/ 1 (- z x)) t))) (/ y (* (/ 1 (- z x)) t)) (/ 1 (- z x)) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ (- z x) t) y) (/ (- z x) t) (- z x) (+ x (/ (* y (- z x)) t)) (/ y (/ t z)) (/ t z) (* (neg y) (/ -1 t)) (+ (* (* (neg y) (/ -1 t)) (- z x)) x) (neg y) (/ -1 t) (neg x))
2.0ms
t
@-inf
((* (/ 1 (- z x)) t) (+ x (/ y (* (/ 1 (- z x)) t))) (/ y (* (/ 1 (- z x)) t)) (/ 1 (- z x)) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ (- z x) t) y) (/ (- z x) t) (- z x) (+ x (/ (* y (- z x)) t)) (/ y (/ t z)) (/ t z) (* (neg y) (/ -1 t)) (+ (* (* (neg y) (/ -1 t)) (- z x)) x) (neg y) (/ -1 t) (neg x))
2.0ms
t
@0
((* (/ 1 (- z x)) t) (+ x (/ y (* (/ 1 (- z x)) t))) (/ y (* (/ 1 (- z x)) t)) (/ 1 (- z x)) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ (- z x) t) y) (/ (- z x) t) (- z x) (+ x (/ (* y (- z x)) t)) (/ y (/ t z)) (/ t z) (* (neg y) (/ -1 t)) (+ (* (* (neg y) (/ -1 t)) (- z x)) x) (neg y) (/ -1 t) (neg x))
2.0ms
z
@-inf
((* (/ 1 (- z x)) t) (+ x (/ y (* (/ 1 (- z x)) t))) (/ y (* (/ 1 (- z x)) t)) (/ 1 (- z x)) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ (- z x) t) y) (/ (- z x) t) (- z x) (+ x (/ (* y (- z x)) t)) (/ y (/ t z)) (/ t z) (* (neg y) (/ -1 t)) (+ (* (* (neg y) (/ -1 t)) (- z x)) x) (neg y) (/ -1 t) (neg x))
1.0ms
y
@-inf
((* (/ 1 (- z x)) t) (+ x (/ y (* (/ 1 (- z x)) t))) (/ y (* (/ 1 (- z x)) t)) (/ 1 (- z x)) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ (- z x) t) y) (/ (- z x) t) (- z x) (+ x (/ (* y (- z x)) t)) (/ y (/ t z)) (/ t z) (* (neg y) (/ -1 t)) (+ (* (* (neg y) (/ -1 t)) (- z x)) x) (neg y) (/ -1 t) (neg x))

simplify135.0ms (1.8%)

Memory
31.9MiB live, 186.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03321035
1994959
22976890
08126846
Stop Event
iter limit
node limit
Counts
84 → 82
Calls
Call 1
Inputs
(/ t z)
(+ (/ t z) (/ (* t x) (pow z 2)))
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z))
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z))
(/ (* y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(/ 1 z)
(+ (/ 1 z) (/ x (pow z 2)))
(+ (* x (+ (/ 1 (pow z 2)) (/ x (pow z 3)))) (/ 1 z))
(+ (* x (+ (* x (+ (/ 1 (pow z 3)) (/ x (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z))
(/ z t)
(+ (* -1 (/ x t)) (/ z t))
z
(+ z (* -1 x))
(* -1 x)
(* -1 (/ t x))
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x)
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x)
(* x (+ 1 (* -1 (/ y t))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* -1 (/ (* x y) t))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(/ -1 x)
(/ (- (* -1 (/ z x)) 1) x)
(/ (- (* -1 (/ (pow z 2) (pow x 2))) (+ 1 (/ z x))) x)
(/ (- (* -1 (/ (pow z 3) (pow x 3))) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) x)
(* -1 (/ x t))
(* x (- (/ z (* t x)) (/ 1 t)))
(* x (- (/ z x) 1))
(* -1 (/ (+ t (/ (* t z) x)) x))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x))
(* -1 (* x (- (/ y t) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(* -1 (/ (+ 1 (/ z x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (* -1 (pow z 2))) x)) z) x))) x))
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
x
(+ x (* y (- (/ z t) (/ x t))))
(/ (* y (- z x)) t)
(/ y t)
(* -1 y)
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2))))
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2)))))
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2)))))
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(- (* -1 (/ z (pow x 2))) (/ 1 x))
(- (* z (- (* -1 (/ z (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* z (- (* z (- (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(- z x)
(/ (+ t (/ (* t x) z)) z)
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z)
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(/ (+ 1 (/ x z)) z)
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (* -1 (/ x z))) z)
(/ (- (+ 1 (/ (pow x 3) (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ (pow x 2) (pow z 2))))) z)
(* z (+ (* -1 (/ x (* t z))) (/ 1 t)))
(* z (+ 1 (* -1 (/ x z))))
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (/ (- (* -1 (/ x z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) (* -1 x)) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) z)) (pow x 2)) z)) (* -1 x)) z)) 1) z))
(* -1 (* z (- (/ x (* t z)) (/ 1 t))))
(* -1 (* z (- (/ x z) 1)))
(/ t (- z x))
(/ (+ (* t x) (* y (- z x))) t)
(/ (- z x) t)
(/ -1 t)
(+ x (/ (* y (- z x)) t))
Outputs
(/ t z)
(/.f64 t z)
(+ (/ t z) (/ (* t x) (pow z 2)))
(*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 t z))
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z))
(fma.f64 (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 (/.f64 t z) z)) x (/.f64 t z))
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) t (/.f64 t (pow.f64 z #s(literal 3 binary64)))) x (/.f64 (/.f64 t z) z)) x (/.f64 t z))
(/ (* y z) t)
(/.f64 (*.f64 y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(/.f64 (*.f64 (-.f64 z x) y) t)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (/ 1 z) (/ x (pow z 2)))
(/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)
(+ (* x (+ (/ 1 (pow z 2)) (/ x (pow z 3)))) (/ 1 z))
(fma.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) x (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z))
(+ (* x (+ (* x (+ (/ 1 (pow z 3)) (/ x (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z))
(fma.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) x (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z))
(/ z t)
(/.f64 z t)
(+ (* -1 (/ x t)) (/ z t))
(/.f64 (-.f64 z x) t)
z
(+ z (* -1 x))
(-.f64 z x)
(* -1 x)
(neg.f64 x)
(* -1 (/ t x))
(/.f64 t (neg.f64 x))
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x)
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x)
(/.f64 (fma.f64 (/.f64 t x) (fma.f64 z (/.f64 z x) z) t) (neg.f64 x))
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x)
(/.f64 (neg.f64 (fma.f64 (/.f64 t x) (fma.f64 z (/.f64 z x) z) (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) t t))) x)
(* x (+ 1 (* -1 (/ y t))))
(fma.f64 (neg.f64 y) (/.f64 x t) x)
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(fma.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)
(* -1 (/ (* x y) t))
(*.f64 (/.f64 (neg.f64 x) t) y)
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(*.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 (/ z x)) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x)
(/ (- (* -1 (/ (pow z 2) (pow x 2))) (+ 1 (/ z x))) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) x)
(/ (- (* -1 (/ (pow z 3) (pow x 3))) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) x)
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) x)
(* -1 (/ x t))
(/.f64 (neg.f64 x) t)
(* x (- (/ z (* t x)) (/ 1 t)))
(*.f64 (-.f64 (/.f64 (/.f64 z x) t) (/.f64 #s(literal 1 binary64) t)) x)
(* x (- (/ z x) 1))
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)
(* -1 (/ (+ t (/ (* t z) x)) x))
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x))
(/.f64 (fma.f64 (/.f64 t x) (fma.f64 z (/.f64 z x) z) t) (neg.f64 x))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 t (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) x) (*.f64 t z)) x) t) (neg.f64 x))
(* -1 (* x (- (/ y t) 1)))
(fma.f64 (neg.f64 y) (/.f64 x t) x)
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(fma.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(*.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64)))
(* -1 (/ (+ 1 (/ z x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (* -1 (pow z 2))) x)) z) x))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) x) z) x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t))))
(*.f64 (-.f64 (/.f64 (/.f64 z x) t) (/.f64 #s(literal 1 binary64) t)) x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)
x
(+ x (* y (- (/ z t) (/ x t))))
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(/ (* y (- z x)) t)
(/.f64 (*.f64 (-.f64 z x) y) t)
(/ y t)
(/.f64 y t)
(* -1 y)
(neg.f64 y)
(* y (- (/ z t) (/ x t)))
(/.f64 (*.f64 (-.f64 z x) y) t)
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(*.f64 (+.f64 (/.f64 (-.f64 z x) t) (/.f64 x y)) y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(*.f64 (+.f64 (/.f64 (-.f64 z x) t) (/.f64 x y)) y)
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2))))
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2)))))
(fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) (/.f64 (/.f64 t x) x))) z (/.f64 t (neg.f64 x)))
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2)))))
(fma.f64 (neg.f64 (*.f64 z (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) t (/.f64 t (pow.f64 x #s(literal 3 binary64)))))) z (*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x))))
(+ x (* -1 (/ (* x y) t)))
(fma.f64 (neg.f64 y) (/.f64 x t) x)
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(- (* -1 (/ z (pow x 2))) (/ 1 x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x)
(- (* z (- (* -1 (/ z (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) x)
(- (* z (- (* z (- (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64)))) z) z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x))
(- z x)
(-.f64 z x)
(/ (+ t (/ (* t x) z)) z)
(/.f64 (fma.f64 x (/.f64 t z) t) z)
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z)
(/.f64 (fma.f64 (/.f64 t z) (fma.f64 x (/.f64 x z) x) t) z)
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z)
(/.f64 (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) t (fma.f64 (/.f64 t z) (fma.f64 x (/.f64 x z) x) t)) z)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) (/.f64 x z) (/.f64 y t)) z)
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(*.f64 (neg.f64 z) (*.f64 (/.f64 y t) (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(/ (+ 1 (/ x z)) z)
(/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (* -1 (/ x z))) z)
(/.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 x z) #s(literal 1 binary64)) z)
(/ (- (+ 1 (/ (pow x 3) (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ (pow x 2) (pow z 2))))) z)
(/.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 x z) (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1 binary64))) z)
(* z (+ (* -1 (/ x (* t z))) (/ 1 t)))
(fma.f64 (/.f64 (/.f64 (neg.f64 x) z) t) z (/.f64 z t))
(* z (+ 1 (* -1 (/ x z))))
(fma.f64 (/.f64 (neg.f64 x) z) z z)
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z))
(/.f64 (fma.f64 x (/.f64 t z) t) z)
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z))
(/.f64 (fma.f64 (/.f64 t z) (fma.f64 x (/.f64 x z) x) t) z)
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z))
(/.f64 (+.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 x (fma.f64 x (/.f64 x z) x)) z) (*.f64 t x)) z) t) z)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) (/.f64 x z) (/.f64 y t)) z)
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(*.f64 (neg.f64 z) (*.f64 (/.f64 y t) (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(* -1 (/ (- (* -1 (/ x z)) 1) z))
(/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) (* -1 x)) z)) 1) z))
(/.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 x z) #s(literal 1 binary64)) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) z)) (pow x 2)) z)) (* -1 x)) z)) 1) z))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 x z) x)) z) x) z) #s(literal 1 binary64)) z)
(* -1 (* z (- (/ x (* t z)) (/ 1 t))))
(fma.f64 (/.f64 (/.f64 (neg.f64 x) z) t) z (/.f64 z t))
(* -1 (* z (- (/ x z) 1)))
(fma.f64 (/.f64 (neg.f64 x) z) z z)
(/ t (- z x))
(/.f64 t (-.f64 z x))
(/ (+ (* t x) (* y (- z x))) t)
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 t x)) t)
(/ (- z x) t)
(/.f64 (-.f64 z x) t)
(/ -1 t)
(/.f64 #s(literal -1 binary64) t)
(+ x (/ (* y (- z x)) t))
(fma.f64 (/.f64 (-.f64 z x) t) y x)

rewrite157.0ms (2.1%)

Memory
-29.5MiB live, 291.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030149
047149
1166137
21217137
09264133
Stop Event
iter limit
node limit
iter limit
Counts
19 → 798
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))
(/.f64 #s(literal 1 binary64) (-.f64 z x))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
(*.f64 (/.f64 z t) y)
(/.f64 z t)
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y))
(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)
(/.f64 #s(approx (- z x) (neg.f64 x)) t)
#s(approx (- z x) (neg.f64 x))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z)))
(/.f64 y (/.f64 t z))
(/.f64 t z)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x)
(neg.f64 y)
(/.f64 #s(literal -1 binary64) t)
(neg.f64 x)
Outputs
(*.f64 (*.f64 t (pow.f64 (-.f64 z x) #s(literal -1/2 binary64))) (pow.f64 (-.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x)))) (+.f64 x z))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (+.f64 x z) (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 (+.f64 x z) (-.f64 z x)) #s(literal -1 binary64)) (/.f64 t (pow.f64 (+.f64 x z) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 t (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x z) #s(literal -1 binary64))))
(*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) (+.f64 x z))
(*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x z) (*.f64 z z)))
(*.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) (neg.f64 t))
(*.f64 (neg.f64 t) (pow.f64 (-.f64 x z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 t (-.f64 x z)))
(*.f64 (/.f64 t (-.f64 z x)) #s(literal 1 binary64))
(*.f64 t (pow.f64 (-.f64 z x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) t)
(*.f64 #s(literal 1 binary64) (/.f64 t (-.f64 z x)))
(pow.f64 (/.f64 (-.f64 z x) t) #s(literal -1 binary64))
(pow.f64 (/.f64 t (-.f64 z x)) #s(literal 1 binary64))
(/.f64 (/.f64 t (-.f64 x z)) #s(literal -1 binary64))
(/.f64 (neg.f64 t) (-.f64 x z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 z x) t)))
(/.f64 (/.f64 t (-.f64 z x)) #s(literal 1 binary64))
(/.f64 t (-.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 z x) t) #s(literal 1 binary64)))
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(fma.f64 (*.f64 (*.f64 (neg.f64 y) #s(approx (- z x) (neg.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (*.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) #s(literal 1 binary64)) (pow.f64 t #s(literal -1 binary64)) x)
(fma.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) t) x)
(fma.f64 (/.f64 (neg.f64 #s(approx (- z x) (neg.f64 x))) #s(literal -1 binary64)) (/.f64 y t) x)
(fma.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) #s(literal 1 binary64)) (/.f64 y t) x)
(fma.f64 (*.f64 (/.f64 (neg.f64 y) t) #s(approx (- z x) (neg.f64 x))) #s(literal -1 binary64) x)
(fma.f64 (*.f64 (neg.f64 y) #s(approx (- z x) (neg.f64 x))) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) (pow.f64 t #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) (neg.f64 t)) (neg.f64 y) x)
(fma.f64 (/.f64 (neg.f64 y) t) (neg.f64 #s(approx (- z x) (neg.f64 x))) x)
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 y (pow.f64 #s(approx (- z x) (neg.f64 x)) #s(literal -1 binary64))) x)
(fma.f64 (pow.f64 (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) (neg.f64 x)))))
(fma.f64 (neg.f64 #s(approx (- z x) (neg.f64 x))) (/.f64 (neg.f64 y) t) x)
(fma.f64 (/.f64 y t) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- z x) (neg.f64 x)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y t) (/.f64 #s(approx (- z x) (neg.f64 x)) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) #s(approx (- z x) (neg.f64 x))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) t) #s(approx (- z x) (neg.f64 x))) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))))
(fma.f64 (neg.f64 y) (/.f64 #s(approx (- z x) (neg.f64 x)) (neg.f64 t)) x)
(fma.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y x)
(fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))))
(fma.f64 y (/.f64 #s(approx (- z x) (neg.f64 x)) t) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))))) (/.f64 (pow.f64 (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))) #s(literal 2 binary64)) (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) (neg.f64 x))))
(-.f64 x (*.f64 (/.f64 (neg.f64 y) t) #s(approx (- z x) (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))) #s(literal 2 binary64)) (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) (neg.f64 x)))))
(+.f64 (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))) x)
(+.f64 x (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))))
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(*.f64 (pow.f64 (neg.f64 t) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 t) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 t #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))
(pow.f64 (neg.f64 t) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) t)
(/.f64 #s(literal 1 binary64) (neg.f64 t))
(neg.f64 (pow.f64 t #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 t)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))

eval109.0ms (1.5%)

Memory
28.6MiB live, 186.2MiB allocated
Compiler

Compiled 16 625 to 2 320 computations (86% saved)

prune27.0ms (0.4%)

Memory
-28.0MiB live, 54.4MiB allocated
Pruning

14 alts after pruning (4 fresh and 10 done)

PrunedKeptTotal
New8121813
Fresh033
Picked145
Done066
Total81314827
Accuracy
100.0%
Counts
827 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.5%
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
67.5%
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x)
74.4%
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
56.1%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t))
56.9%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
28.4%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
35.4%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
36.3%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z)))
36.2%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t))))
28.1%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y))
36.3%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
58.7%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x)))
29.2%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))))
37.9%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
Compiler

Compiled 615 to 253 computations (58.9% saved)

regimes44.0ms (0.6%)

Memory
20.6MiB live, 57.6MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y)))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
(+.f64 x (/.f64 #s(approx (* y (- z x)) (*.f64 z y)) t))
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z)))
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t))
(fma.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x)
(+.f64 x (/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t))
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) (-.f64 z x)) x)
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t))))
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)))
Outputs
(fma.f64 (/.f64 y t) (-.f64 z x) x)
Calls

5 calls:

11.0ms
z
8.0ms
y
8.0ms
x
8.0ms
t
8.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Results
AccuracySegmentsBranch
97.3%1x
97.3%1y
97.3%1z
97.3%1t
97.3%1(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Compiler

Compiled 13 to 24 computations (-84.6% saved)

regimes26.0ms (0.4%)

Memory
-2.8MiB live, 34.6MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y)))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
(+.f64 x (/.f64 #s(approx (* y (- z x)) (*.f64 z y)) t))
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
Outputs
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
Calls

5 calls:

8.0ms
z
4.0ms
t
4.0ms
y
4.0ms
x
4.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Results
AccuracySegmentsBranch
87.0%3x
86.4%3y
89.5%3z
87.3%3(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
86.6%3t
Compiler

Compiled 13 to 24 computations (-84.6% saved)

regimes5.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y)))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
(+.f64 x (/.f64 #s(approx (* y (- z x)) (*.f64 z y)) t))
Outputs
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
Calls

1 calls:

4.0ms
z
Results
AccuracySegmentsBranch
89.5%3z
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes19.0ms (0.3%)

Memory
-11.6MiB live, 25.9MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y)))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
Outputs
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y)))
Calls

5 calls:

6.0ms
x
3.0ms
z
3.0ms
t
3.0ms
y
3.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Results
AccuracySegmentsBranch
77.1%2y
74.4%1t
74.4%1x
74.4%1(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
74.4%1z
Compiler

Compiled 13 to 24 computations (-84.6% saved)

regimes2.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
Outputs
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
74.4%1y
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes9.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Accuracy

Total -4.2b remaining (-10.5%)

Threshold costs -4.2b (-10.5%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
Outputs
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
Calls

5 calls:

2.0ms
y
2.0ms
t
2.0ms
x
2.0ms
z
2.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Results
AccuracySegmentsBranch
37.9%1z
37.9%1(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
37.9%1x
37.9%1t
37.9%1y
Compiler

Compiled 13 to 24 computations (-84.6% saved)

bsearch31.0ms (0.4%)

Memory
-4.6MiB live, 36.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
3.3385819002534593e-53
9.588308564448265e-51
17.0ms
-2.8312471357564032e-89
-1.867424992804299e-97
Samples
18.0ms272×0valid
Compiler

Compiled 403 to 355 computations (11.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (29.3% of total)
ival-div: 2.0ms (29.3% of total)
ival-mult: 2.0ms (29.3% of total)
ival-add: 1.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.3385819002534593e-53
9.588308564448265e-51
1.0ms
-2.8312471357564032e-89
-1.867424992804299e-97
Compiler

Compiled 505 to 423 computations (16.2% saved)

bsearch19.0ms (0.3%)

Memory
-15.0MiB live, 20.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
1.6904423188124247e+127
4.335719169669892e+134
Samples
7.0ms144×0valid
Compiler

Compiled 336 to 249 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (27.5% of total)
ival-div: 1.0ms (27.5% of total)
ival-add: 1.0ms (27.5% of total)
ival-mult: 1.0ms (27.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify95.0ms (1.3%)

Memory
7.5MiB live, 43.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041145
165145
292145
3142145
4249145
5369145
6624145
74899145
87265145
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(if (<=.f64 z #s(literal -4088342928092689/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 z #s(literal 2653869750047641/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)))
(if (<=.f64 z #s(literal -4088342928092689/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 z #s(literal 2653869750047641/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)))
(if (<=.f64 y #s(literal 47999999999999997038090838744094605471098658389967992250133113563059532531258004665923867455532516247227867839805238159175302808338432 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) #s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))
Outputs
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(if (<=.f64 z #s(literal -4088342928092689/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 z #s(literal 2653869750047641/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)))
(if (or (<=.f64 z #s(literal -4088342928092689/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (not (<=.f64 z #s(literal 2653869750047641/842498333348457493583344221469363458551160763204392890034487820288 binary64)))) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x))
(if (<=.f64 z #s(literal -4088342928092689/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 z #s(literal 2653869750047641/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)))
(if (or (<=.f64 z #s(literal -4088342928092689/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (not (<=.f64 z #s(literal 2653869750047641/842498333348457493583344221469363458551160763204392890034487820288 binary64)))) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)))
(if (<=.f64 y #s(literal 47999999999999997038090838744094605471098658389967992250133113563059532531258004665923867455532516247227867839805238159175302808338432 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) #s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z))

soundness1.6s (21.4%)

Memory
-139.0MiB live, 610.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02498
04090
115790
2103990
0887890
0105347
1343309
21113241
33425241
47054241
08561230
0824
01224
14924
240724
3702924
0818623
0122286
1397283
21302283
33962283
47537283
08020272
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 312 to 168 computations (46.2% saved)

preprocess46.0ms (0.6%)

Memory
-8.8MiB live, 111.8MiB allocated
Compiler

Compiled 336 to 118 computations (64.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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