Data.Colour.Matrix:inverse from colour-2.3.3, B

Time bar (total: 8.4s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze186.0ms (2.2%)

Memory
-16.9MiB live, 171.9MiB 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
0%0%99.8%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
50%49.9%49.9%0.2%0%0%0%9
50%49.9%49.9%0.2%0%0%0%10
75%74.8%24.9%0.2%0%0%0%11
75%74.8%24.9%0.2%0%0%0%12
Compiler

Compiled 11 to 11 computations (0% saved)

sample1.6s (18.7%)

Memory
46.7MiB live, 1 566.5MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 442.0ms
ival-mult: 256.0ms (57.9% of total)
ival-sub: 108.0ms (24.4% of total)
ival-div: 68.0ms (15.4% of total)
ival-true: 7.0ms (1.6% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain127.0ms (1.5%)

Memory
-14.6MiB live, 229.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-1(6.0542943648466885e-205 -4.538353051951811e-116 -2.374684193600893e-192 2.39617895793638e-159 -3.806214047862434e-161)(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
20-0-(-.f64 (*.f64 x y) (*.f64 z t))
00-0-a
00-0-t
00-0-(*.f64 z t)
00-0-z
00-0-(*.f64 x y)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)o/n190
(*.f64 x y)overflow42
(*.f64 z t)overflow37
(-.f64 (*.f64 x y) (*.f64 z t))overflow77
-.f64(-.f64 (*.f64 x y) (*.f64 z t))nan-rescue20
(*.f64 x y)overflow42
(*.f64 z t)overflow37
/.f64(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)u/n10
(*.f64 x y)underflow30
(*.f64 z t)underflow29
(-.f64 (*.f64 x y) (*.f64 z t))underflow4
Confusion
Predicted +Predicted -
+221
-0233
Precision
1.0
Recall
0.9565217391304348
Confusion?
Predicted +Predicted MaybePredicted -
+2201
-00233
Precision?
1.0
Recall?
0.9565217391304348
Freqs
test
numberfreq
0234
122
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
36.0ms512×0valid
Compiler

Compiled 67 to 31 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (54.9% of total)
ival-div: 4.0ms (27.5% of total)
ival-sub: 3.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess43.0ms (0.5%)

Memory
14.2MiB live, 111.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063191
1162185
2363185
3749184
41299184
51661184
61661184
099
0139
1219
2409
3729
41309
51889
62379
72509
82549
02549
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
Outputs
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
Symmetry

(negabs a)

(sort x y)

(sort z t)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.5%
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
Compiler

Compiled 9 to 9 computations (0% saved)

simplify10.0ms (0.1%)

Memory
-28.6MiB live, 18.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
01327
12127
24027
37227
413027
518827
623727
725027
825427
025427
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
(-.f64 (*.f64 x y) (*.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t
a
Outputs
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)
(-.f64 (*.f64 x y) (*.f64 z t))
(fma.f64 (neg.f64 t) z (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z t)
(*.f64 t z)
z
t
a

localize23.0ms (0.3%)

Memory
9.2MiB live, 55.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z t)
accuracy0.0
(*.f64 x y)
accuracy0.45312293583020585
(-.f64 (*.f64 x y) (*.f64 z t))
accuracy4.934817012528403
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
Samples
18.0ms256×0valid
Compiler

Compiled 29 to 11 computations (62.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (58.7% of total)
ival-div: 2.0ms (29.3% of total)
ival-sub: 1.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-12.0MiB live, 34.4MiB allocated
Counts
4 → 25
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
(-.f64 (*.f64 x y) (*.f64 z t))
(*.f64 x y)
(*.f64 z t)
Outputs
(* -1 (/ (* t z) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(* -1 (* t z))
(- (* x y) (* t z))
(* x y)
(/ (* x y) a)
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(* x (+ y (* -1 (/ (* t z) x))))
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(* y (+ x (* -1 (/ (* t z) y))))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(+ (* -1 (* t z)) (* x y))
(* t z)
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(* z (- (/ (* x y) z) t))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(* t (- (/ (* x y) t) z))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(/ (- (* x y) (* t z)) a)
Calls

15 calls:

TimeVariablePointExpression
2.0ms
t
@-inf
((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t))
2.0ms
a
@0
((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t))
1.0ms
y
@-inf
((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t))
1.0ms
x
@-inf
((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t))
1.0ms
x
@0
((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t))

simplify300.0ms (3.6%)

Memory
37.4MiB live, 306.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088219
1313189
21107189
34520189
46980189
08604189
Stop Event
iter limit
node limit
Counts
25 → 25
Calls
Call 1
Inputs
(* -1 (/ (* t z) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(* -1 (* t z))
(- (* x y) (* t z))
(* x y)
(/ (* x y) a)
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(* x (+ y (* -1 (/ (* t z) x))))
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(* y (+ x (* -1 (/ (* t z) y))))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(+ (* -1 (* t z)) (* x y))
(* t z)
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(* z (- (/ (* x y) z) t))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(* t (- (/ (* x y) t) z))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(/ (- (* x y) (* t z)) a)
Outputs
(* -1 (/ (* t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* -1 (* t z))
(*.f64 (neg.f64 z) t)
(- (* x y) (* t z))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* x y)
(*.f64 y x)
(/ (* x y) a)
(*.f64 (/.f64 x a) y)
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* x (+ y (* -1 (/ (* t z) x))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* y (+ x (* -1 (/ (* t z) y))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(+ (* -1 (* t z)) (* x y))
(fma.f64 (neg.f64 z) t (*.f64 y x))
(* t z)
(*.f64 t z)
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* z (- (/ (* x y) z) t))
(*.f64 (fma.f64 (/.f64 x z) y (neg.f64 t)) z)
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(*.f64 (fma.f64 (/.f64 x z) y (neg.f64 t)) z)
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* t (- (/ (* x y) t) z))
(*.f64 (fma.f64 (/.f64 x t) y (neg.f64 z)) t)
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(*.f64 (fma.f64 (/.f64 x t) y (neg.f64 z)) t)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a)

rewrite357.0ms (4.3%)

Memory
-27.2MiB live, 362.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
01322
13722
224522
3237622
0859222
Stop Event
iter limit
node limit
iter limit
Counts
4 → 372
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
(-.f64 (*.f64 x y) (*.f64 z t))
(*.f64 x y)
(*.f64 z t)
Outputs
(*.f64 (/.f64 (fma.f64 t z (*.f64 y x)) (fma.f64 t z (*.f64 y x))) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) a))
(*.f64 (/.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) a))
(*.f64 (fma.f64 t z (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) (*.f64 (fma.f64 t z (*.f64 y x)) a)))
(*.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) (*.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) a)))
(/.f64 (fma.f64 (neg.f64 t) z (neg.f64 (*.f64 (neg.f64 y) x))) a)
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) a)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (*.f64 a a)))) (neg.f64 (neg.f64 (/.f64 (fma.f64 t z (*.f64 y x)) a))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 t z) a) (/.f64 (fma.f64 t z (*.f64 y x)) a) (pow.f64 (/.f64 (*.f64 y x) a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))))) (neg.f64 (neg.f64 (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 a)) (*.f64 (neg.f64 a) (*.f64 (neg.f64 z) t)))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) x) a) (*.f64 (neg.f64 a) (*.f64 t z)))) (neg.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y x) (neg.f64 a)) (*.f64 a (*.f64 (neg.f64 z) t)))) (neg.f64 (*.f64 a (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 y) x) a (*.f64 (neg.f64 a) (*.f64 (neg.f64 z) t)))) (neg.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (neg.f64 (fma.f64 a (*.f64 y x) (*.f64 a (*.f64 (neg.f64 z) t)))) (neg.f64 (*.f64 a a)))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 z) t))) a)
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y x) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 y x) a) (/.f64 (*.f64 (neg.f64 z) t) a))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 t z) a) (/.f64 (fma.f64 t z (*.f64 y x)) a) (pow.f64 (/.f64 (*.f64 y x) a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))) (neg.f64 a)) (*.f64 (neg.f64 a) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 a)) (*.f64 (neg.f64 a) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 a (*.f64 y x)) (*.f64 (neg.f64 a) (*.f64 (neg.f64 z) t))) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (neg.f64 a)) (*.f64 (neg.f64 a) (*.f64 t z))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 y x) a) #s(literal 2 binary64)) (/.f64 (fma.f64 t z (*.f64 y x)) a)) (*.f64 (/.f64 (fma.f64 t z (*.f64 y x)) a) (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 t z (*.f64 y x)) a) (/.f64 (fma.f64 t z (*.f64 y x)) a)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 y x) a) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 t z) a) (/.f64 (fma.f64 t z (*.f64 y x)) a) (pow.f64 (/.f64 (*.f64 y x) a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 (*.f64 t z) a) (/.f64 (fma.f64 t z (*.f64 y x)) a) (pow.f64 (/.f64 (*.f64 y x) a) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 (*.f64 t z) a) (/.f64 (fma.f64 t z (*.f64 y x)) a) (pow.f64 (/.f64 (*.f64 y x) a) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t z) a) (/.f64 (fma.f64 t z (*.f64 y x)) a) (pow.f64 (/.f64 (*.f64 y x) a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 y x)) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 t z)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 t z (*.f64 y x)) a)) (*.f64 (*.f64 (fma.f64 t z (*.f64 y x)) a) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (*.f64 (fma.f64 t z (*.f64 y x)) a) (*.f64 (fma.f64 t z (*.f64 y x)) a)))
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(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 t z (*.f64 y x))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 t z (*.f64 y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 t z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) x) y) #s(literal 2 binary64)))) (fma.f64 t z (*.f64 y x))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 t z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) x) y) #s(literal 2 binary64)))) (fma.f64 t z (*.f64 y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 t (*.f64 y x)) (neg.f64 z))))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 t (*.f64 y x)) (neg.f64 z))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) x) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 t (*.f64 y x)) (neg.f64 z))))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) x) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 t (*.f64 y x)) (neg.f64 z))))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 t (*.f64 y x)) (neg.f64 z))))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 t (*.f64 y x)) (neg.f64 z))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) x) y) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) x) y) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) x) y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 t z) x) y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(-.f64 (*.f64 (neg.f64 z) t) (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 (neg.f64 t)) z))
(-.f64 (*.f64 y x) (*.f64 t z))
(+.f64 (neg.f64 (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 z) t))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 y) x) (*.f64 t z))
(+.f64 (*.f64 (neg.f64 z) t) (*.f64 y x))
(+.f64 (*.f64 t z) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 z) t))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 y)))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (neg.f64 y) x))) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 y) x))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (*.f64 (neg.f64 y) x)))
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 x x) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 y y) x)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 y))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 y) x)))
(fabs.f64 (*.f64 (neg.f64 y) x))
(fabs.f64 (*.f64 y x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 y x))) (sinh.f64 (log.f64 (*.f64 y x))))
(*.f64 (fabs.f64 (fabs.f64 t)) (fabs.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 t)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) t) (neg.f64 z))) (sqrt.f64 t))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) t) t)) (sqrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) t)) (sqrt.f64 (*.f64 (neg.f64 z) t)))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 t (*.f64 (neg.f64 z) t))))
(*.f64 (sqrt.f64 (*.f64 t z)) (sqrt.f64 (*.f64 t z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z z) t)) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) t))))
(*.f64 (sqrt.f64 t) (sqrt.f64 (*.f64 (*.f64 z z) t)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 t t) z)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 t t) z)))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t)))
(*.f64 (pow.f64 (neg.f64 t) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 t) #s(literal 1 binary64)))
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 t #s(literal 1 binary64)))
(*.f64 (fabs.f64 t) (fabs.f64 z))
(*.f64 (fabs.f64 z) (fabs.f64 t))
(*.f64 (neg.f64 t) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 t))
(*.f64 t z)
(*.f64 z t)
(pow.f64 (*.f64 (neg.f64 z) t) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 t z) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 z) t))
(sqrt.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 z) t))
(fabs.f64 (*.f64 t z))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 t z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 t z)))
(+.f64 (cosh.f64 (log.f64 (*.f64 t z))) (sinh.f64 (log.f64 (*.f64 t z))))

eval72.0ms (0.9%)

Memory
-1.1MiB live, 90.4MiB allocated
Compiler

Compiled 11 876 to 1 210 computations (89.8% saved)

prune10.0ms (0.1%)

Memory
31.6MiB live, 31.6MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3747381
Fresh000
Picked101
Done000
Total3757382
Accuracy
100.0%
Counts
382 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.1%
(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
67.7%
(/.f64 (fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x))) (*.f64 a a))
91.9%
(/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a)
55.6%
(/.f64 (-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z)))) a)
48.2%
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a)
52.9%
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
50.3%
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
Compiler

Compiled 182 to 158 computations (13.2% saved)

simplify12.0ms (0.1%)

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

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 t)
cost-diff0
(*.f64 (neg.f64 t) (/.f64 z a))
cost-diff0
(/.f64 y a)
cost-diff2
(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) t)
cost-diff0
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
cost-diff0
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a)
cost-diff0
(/.f64 t a)
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (/.f64 t a))
cost-diff0
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
cost-diff0
(/.f64 x a)
cost-diff0
(*.f64 (/.f64 x a) y)
cost-diff0
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) t)
cost-diff0
(fma.f64 y x (*.f64 (neg.f64 z) t))
cost-diff0
(/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026148
042146
176146
2129146
3192146
4244146
5274146
6287146
7290146
8294146
9298146
0298146
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a)
(fma.f64 y x (*.f64 (neg.f64 z) t))
y
x
(*.f64 (neg.f64 z) t)
(neg.f64 z)
z
t
a
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
(*.f64 (/.f64 x a) y)
(/.f64 x a)
x
a
y
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
(*.f64 (neg.f64 z) (/.f64 t a))
(neg.f64 z)
z
(/.f64 t a)
t
a
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a)
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
(*.f64 (neg.f64 z) t)
(neg.f64 z)
z
t
a
(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
(/.f64 y a)
y
a
x
(*.f64 (neg.f64 t) (/.f64 z a))
(neg.f64 t)
t
(/.f64 z a)
z
Outputs
(/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a)
(/.f64 (fma.f64 x y (*.f64 t (neg.f64 z))) a)
(fma.f64 y x (*.f64 (neg.f64 z) t))
(fma.f64 x y (*.f64 t (neg.f64 z)))
y
x
(*.f64 (neg.f64 z) t)
(*.f64 t (neg.f64 z))
(neg.f64 z)
z
t
a
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
(*.f64 (/.f64 x a) y)
(*.f64 (/.f64 y a) x)
(/.f64 x a)
x
a
y
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 t (neg.f64 z)) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(/.f64 (*.f64 t (neg.f64 z)) a)
(neg.f64 z)
z
(/.f64 t a)
t
a
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a)
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 t (neg.f64 z))) a)
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
#s(approx (- (* x y) (* z t)) (*.f64 t (neg.f64 z)))
(*.f64 (neg.f64 z) t)
(*.f64 t (neg.f64 z))
(neg.f64 z)
z
t
a
(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
(/.f64 (fma.f64 x y (*.f64 t (neg.f64 z))) a)
(/.f64 y a)
y
a
x
(*.f64 (neg.f64 t) (/.f64 z a))
(/.f64 (*.f64 t (neg.f64 z)) a)
(neg.f64 t)
t
(/.f64 z a)
z

localize113.0ms (1.3%)

Memory
-2.0MiB live, 95.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 y a)
accuracy0.0
(neg.f64 t)
accuracy3.3724372264019085
(*.f64 (neg.f64 t) (/.f64 z a))
accuracy5.029946461606655
(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
accuracy0.0
(*.f64 (neg.f64 z) t)
accuracy0.0
(neg.f64 z)
accuracy4.934817012528403
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a)
accuracy30.31242569828434
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
accuracy0.0
(/.f64 t a)
accuracy0.0
(neg.f64 z)
accuracy4.7129005775215385
(*.f64 (neg.f64 z) (/.f64 t a))
accuracy29.13103003963736
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
accuracy0.0
(/.f64 x a)
accuracy3.8342299733714387
(*.f64 (/.f64 x a) y)
accuracy29.972870000853053
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
accuracy0.0
(*.f64 (neg.f64 z) t)
accuracy0.0
(neg.f64 z)
accuracy0.24999724760556022
(fma.f64 y x (*.f64 (neg.f64 z) t))
accuracy4.934817012528403
(/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a)
Samples
68.0ms256×0valid
Compiler

Compiled 130 to 26 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-neg: 24.0ms (47.3% of total)
ival-mult: 13.0ms (25.6% of total)
ival-div: 10.0ms (19.7% of total)
ival-add: 2.0ms (3.9% of total)
ival-sub: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series60.0ms (0.7%)

Memory
4.2MiB live, 49.0MiB allocated
Counts
16 → 35
Calls
Call 1
Inputs
(/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a)
(fma.f64 y x (*.f64 (neg.f64 z) t))
(*.f64 (neg.f64 z) t)
(neg.f64 z)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
(*.f64 (/.f64 x a) y)
(/.f64 x a)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
(*.f64 (neg.f64 z) (/.f64 t a))
(/.f64 t a)
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a)
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
(/.f64 y a)
(*.f64 (neg.f64 t) (/.f64 z a))
(neg.f64 t)
Outputs
(* -1 (/ (* t z) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(* -1 (* t z))
(+ (* -1 (* t z)) (* x y))
(/ (* x y) a)
(/ x a)
(- (* x y) (* t z))
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(* x y)
(* x (+ y (* -1 (/ (* t z) x))))
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(/ y a)
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(* y (+ x (* -1 (/ (* t z) y))))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(* -1 z)
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(* z (+ (* -1 t) (/ (* x y) z)))
(* z (- (/ (* x y) z) t))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(* -1 (* z (+ t (* -1 (/ (* x y) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(/ t a)
(* -1 t)
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(* t (+ (* -1 z) (/ (* x y) t)))
(* t (- (/ (* x y) t) z))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(* -1 (* t (+ z (* -1 (/ (* x y) t)))))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(/ (+ (* -1 (* t z)) (* x y)) a)
(/ (- (* x y) (* t z)) a)
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a))
Calls

15 calls:

TimeVariablePointExpression
32.0ms
x
@0
((/ (+ (* y x) (* (neg z) t)) a) (+ (* y x) (* (neg z) t)) (* (neg z) t) (neg z) (/ (- (* x y) (* z t)) a) (* (/ x a) y) (/ x a) (/ (- (* x y) (* z t)) a) (* (neg z) (/ t a)) (/ t a) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (+ (* (/ y a) x) (* (neg t) (/ z a))) (/ y a) (* (neg t) (/ z a)) (neg t))
5.0ms
a
@inf
((/ (+ (* y x) (* (neg z) t)) a) (+ (* y x) (* (neg z) t)) (* (neg z) t) (neg z) (/ (- (* x y) (* z t)) a) (* (/ x a) y) (/ x a) (/ (- (* x y) (* z t)) a) (* (neg z) (/ t a)) (/ t a) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (+ (* (/ y a) x) (* (neg t) (/ z a))) (/ y a) (* (neg t) (/ z a)) (neg t))
3.0ms
a
@-inf
((/ (+ (* y x) (* (neg z) t)) a) (+ (* y x) (* (neg z) t)) (* (neg z) t) (neg z) (/ (- (* x y) (* z t)) a) (* (/ x a) y) (/ x a) (/ (- (* x y) (* z t)) a) (* (neg z) (/ t a)) (/ t a) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (+ (* (/ y a) x) (* (neg t) (/ z a))) (/ y a) (* (neg t) (/ z a)) (neg t))
2.0ms
a
@0
((/ (+ (* y x) (* (neg z) t)) a) (+ (* y x) (* (neg z) t)) (* (neg z) t) (neg z) (/ (- (* x y) (* z t)) a) (* (/ x a) y) (/ x a) (/ (- (* x y) (* z t)) a) (* (neg z) (/ t a)) (/ t a) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (+ (* (/ y a) x) (* (neg t) (/ z a))) (/ y a) (* (neg t) (/ z a)) (neg t))
2.0ms
x
@-inf
((/ (+ (* y x) (* (neg z) t)) a) (+ (* y x) (* (neg z) t)) (* (neg z) t) (neg z) (/ (- (* x y) (* z t)) a) (* (/ x a) y) (/ x a) (/ (- (* x y) (* z t)) a) (* (neg z) (/ t a)) (/ t a) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (+ (* (/ y a) x) (* (neg t) (/ z a))) (/ y a) (* (neg t) (/ z a)) (neg t))

simplify415.0ms (4.9%)

Memory
-24.3MiB live, 353.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103237
1380237
21315237
35191237
47756237
08058237
Stop Event
iter limit
node limit
Counts
35 → 35
Calls
Call 1
Inputs
(* -1 (/ (* t z) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(* -1 (* t z))
(+ (* -1 (* t z)) (* x y))
(/ (* x y) a)
(/ x a)
(- (* x y) (* t z))
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(* x y)
(* x (+ y (* -1 (/ (* t z) x))))
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(/ y a)
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(* y (+ x (* -1 (/ (* t z) y))))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(* -1 z)
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(* z (+ (* -1 t) (/ (* x y) z)))
(* z (- (/ (* x y) z) t))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(* -1 (* z (+ t (* -1 (/ (* x y) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(/ t a)
(* -1 t)
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(* t (+ (* -1 z) (/ (* x y) t)))
(* t (- (/ (* x y) t) z))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(* -1 (* t (+ z (* -1 (/ (* x y) t)))))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(/ (+ (* -1 (* t z)) (* x y)) a)
(/ (- (* x y) (* t z)) a)
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a))
Outputs
(* -1 (/ (* t z) a))
(*.f64 (/.f64 (neg.f64 z) a) t)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* t z))
(*.f64 (neg.f64 t) z)
(+ (* -1 (* t z)) (* x y))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(/ (* x y) a)
(*.f64 (/.f64 y a) x)
(/ x a)
(/.f64 x a)
(- (* x y) (* t z))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* x y)
(*.f64 x y)
(* x (+ y (* -1 (/ (* t z) x))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(/ y a)
(/.f64 y a)
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* y (+ x (* -1 (/ (* t z) y))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* -1 z)
(neg.f64 z)
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* z (+ (* -1 t) (/ (* x y) z)))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* z (- (/ (* x y) z) t))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* z (+ t (* -1 (/ (* x y) z)))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(/ t a)
(/.f64 t a)
(* -1 t)
(neg.f64 t)
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* t (+ (* -1 z) (/ (* x y) t)))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* t (- (/ (* x y) t) z))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* t (+ z (* -1 (/ (* x y) t)))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(/ (+ (* -1 (* t z)) (* x y)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)

rewrite224.0ms (2.7%)

Memory
9.6MiB live, 145.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026118
042116
1131116
2779116
08844109
Stop Event
iter limit
node limit
iter limit
Counts
16 → 374
Calls
Call 1
Inputs
(/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a)
(fma.f64 y x (*.f64 (neg.f64 z) t))
(*.f64 (neg.f64 z) t)
(neg.f64 z)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
(*.f64 (/.f64 x a) y)
(/.f64 x a)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
(*.f64 (neg.f64 z) (/.f64 t a))
(/.f64 t a)
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a)
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t))
(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
(/.f64 y a)
(*.f64 (neg.f64 t) (/.f64 z a))
(neg.f64 t)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) a))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (/.f64 z a) t) (/.f64 (fma.f64 t z (*.f64 x y)) a) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x y) a) (*.f64 a (*.f64 t z)))) (*.f64 a a))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64))) (fma.f64 (*.f64 x y) a (*.f64 a (*.f64 t (neg.f64 z))))) (*.f64 a a))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64))) (fma.f64 (*.f64 t (neg.f64 z)) a (*.f64 a (*.f64 x y)))) (*.f64 a a))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (fma.f64 t z (*.f64 x y)) a))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) a))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) x (*.f64 t z))) (neg.f64 a))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y a) x) (/.f64 (fma.f64 t z (*.f64 x y)) a))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 z a) t) (/.f64 (fma.f64 t z (*.f64 x y)) a) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x y) a) (*.f64 a (*.f64 t (neg.f64 z))))) (*.f64 a a))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64))) (fma.f64 t z (*.f64 x y))) a)
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64)))) (/.f64 (fma.f64 t z (*.f64 x y)) a))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 z a) t) (/.f64 (fma.f64 t z (*.f64 x y)) a)) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 z a) t) (/.f64 (fma.f64 t z (*.f64 x y)) a) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 z a) t) (/.f64 (fma.f64 t z (*.f64 x y)) a)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 z a) t) (/.f64 (fma.f64 t z (*.f64 x y)) a)) (-.f64 (*.f64 (*.f64 (/.f64 z a) t) (/.f64 (fma.f64 t z (*.f64 x y)) a)) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 t z (*.f64 x y)) (fma.f64 t z (*.f64 x y))) (/.f64 (fma.f64 t z (*.f64 x y)) a))
(*.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (fma.f64 (*.f64 x y) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (/.f64 (fma.f64 t z (*.f64 x y)) a))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x y) a) (*.f64 a (*.f64 t (neg.f64 z)))) a) a)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x y) a) (*.f64 a (*.f64 t z))) a) a)
(/.f64 (/.f64 (fma.f64 (*.f64 x y) a (*.f64 a (*.f64 t (neg.f64 z)))) a) a)
(/.f64 (/.f64 (fma.f64 (*.f64 t (neg.f64 z)) a (*.f64 a (*.f64 x y))) a) a)
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (/.f64 (fma.f64 t z (*.f64 x y)) a)) (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (/.f64 (fma.f64 t z (*.f64 x y)) a))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64)) (/.f64 (fma.f64 t z (*.f64 x y)) a)) (/.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64)) (/.f64 (fma.f64 t z (*.f64 x y)) a)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (fma.f64 t z (*.f64 x y))) a (/.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64)) (/.f64 (fma.f64 t z (*.f64 x y)) a))))
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(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 z a) t) (/.f64 (fma.f64 t z (*.f64 x y)) a) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 z a) t) (/.f64 (fma.f64 t z (*.f64 x y)) a) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (/.f64 (fma.f64 t z (*.f64 x y)) a)) (/.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64)) (/.f64 (fma.f64 t z (*.f64 x y)) a)))
(-.f64 (*.f64 (/.f64 y a) x) (*.f64 (/.f64 z a) t))
(-.f64 (*.f64 (/.f64 y a) x) (/.f64 (*.f64 t (neg.f64 z)) a))
(-.f64 (/.f64 (*.f64 t (neg.f64 z)) a) (/.f64 (*.f64 (neg.f64 y) x) a))
(+.f64 (/.f64 (*.f64 (*.f64 t (neg.f64 z)) a) (*.f64 a a)) (/.f64 (*.f64 a (*.f64 x y)) (*.f64 a a)))
(+.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) a)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) a)))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) a)) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) a)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y a) x) (/.f64 (fma.f64 t z (*.f64 x y)) a)))) (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y a) x) (/.f64 (fma.f64 t z (*.f64 x y)) a)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y a) x) (/.f64 (fma.f64 t z (*.f64 x y)) a)))) (/.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y a) x) (/.f64 (fma.f64 t z (*.f64 x y)) a)))))
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) a) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (*.f64 x y) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) a))
(+.f64 (/.f64 (*.f64 (*.f64 x y) a) (*.f64 a a)) (/.f64 (*.f64 a (*.f64 t (neg.f64 z))) (*.f64 a a)))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 t z (*.f64 x y)) a)) (/.f64 (neg.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (*.f64 (fma.f64 t z (*.f64 x y)) a)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 z a) t) (/.f64 (fma.f64 t z (*.f64 x y)) a) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 z a) t) (/.f64 (fma.f64 t z (*.f64 x y)) a) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 z a) t) (/.f64 (fma.f64 t z (*.f64 x y)) a) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 z a) t) (/.f64 (fma.f64 t z (*.f64 x y)) a) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (/.f64 (fma.f64 t z (*.f64 x y)) a)) (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 z a) t) #s(literal 2 binary64))) (/.f64 (fma.f64 t z (*.f64 x y)) a)))
(+.f64 (*.f64 (/.f64 z a) t) (*.f64 (/.f64 y a) x))
(+.f64 (*.f64 (/.f64 y a) x) (*.f64 (/.f64 z a) t))
(+.f64 (*.f64 (/.f64 y a) x) (/.f64 (*.f64 t (neg.f64 z)) a))
(+.f64 (/.f64 (*.f64 t (neg.f64 z)) a) (*.f64 (/.f64 y a) x))
(/.f64 (neg.f64 y) (neg.f64 a))
(/.f64 y a)
(neg.f64 (/.f64 (neg.f64 y) a))
(*.f64 (/.f64 (neg.f64 z) a) t)
(*.f64 (/.f64 (neg.f64 t) a) z)
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 (neg.f64 t) (/.f64 z a))
(*.f64 (/.f64 t a) (neg.f64 z))
(*.f64 t (/.f64 (neg.f64 z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (/.f64 (neg.f64 t) a))
(/.f64 (*.f64 t z) (neg.f64 a))
(/.f64 (*.f64 t (neg.f64 z)) a)
(neg.f64 (*.f64 (/.f64 z a) t))
(neg.f64 t)

eval46.0ms (0.5%)

Memory
10.9MiB live, 56.7MiB allocated
Compiler

Compiled 7 476 to 667 computations (91.1% saved)

prune48.0ms (0.6%)

Memory
-17.9MiB live, 27.0MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2573260
Fresh022
Picked145
Done000
Total2589267
Accuracy
100.0%
Counts
267 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(/.f64 (fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x))) (*.f64 a a))
91.9%
(/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a)
55.6%
(/.f64 (-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z)))) a)
48.2%
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a)
51.8%
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
51.8%
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))
50.7%
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
52.9%
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
50.3%
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
Compiler

Compiled 196 to 166 computations (15.3% saved)

simplify392.0ms (4.7%)

Memory
26.9MiB live, 274.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z))))
cost-diff0
(/.f64 (-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z)))) a)
cost-diff2
(exp.f64 (log.f64 (*.f64 t z)))
cost-diff0
(neg.f64 z)
cost-diff0
(/.f64 (neg.f64 z) a)
cost-diff0
(*.f64 (/.f64 (neg.f64 z) a) t)
cost-diff0
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y))
cost-diff0
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
cost-diff0
(/.f64 y a)
cost-diff0
(*.f64 (/.f64 y a) x)
cost-diff0
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) t)
cost-diff2
(fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x)))
cost-diff4
(/.f64 (fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x))) (*.f64 a a))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034177
053175
1102169
2274165
31158161
44611161
08245161
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x))) (*.f64 a a))
(fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x)))
(*.f64 (neg.f64 z) t)
(neg.f64 z)
z
t
a
(*.f64 a (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 a a)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
(*.f64 (/.f64 y a) x)
(/.f64 y a)
y
a
x
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
#s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y))
(*.f64 x y)
x
y
a
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))
(*.f64 (/.f64 (neg.f64 z) a) t)
(/.f64 (neg.f64 z) a)
(neg.f64 z)
z
a
t
(/.f64 (-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z)))) a)
(-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z))))
(*.f64 x y)
x
y
(exp.f64 (log.f64 (*.f64 t z)))
(log.f64 (*.f64 t z))
(*.f64 t z)
t
z
a
Outputs
(/.f64 (fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x))) (*.f64 a a))
(/.f64 (fma.f64 x y (*.f64 t (neg.f64 z))) a)
(fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x)))
(*.f64 (fma.f64 x y (*.f64 t (neg.f64 z))) a)
(*.f64 (neg.f64 z) t)
(*.f64 t (neg.f64 z))
(neg.f64 z)
z
t
a
(*.f64 a (*.f64 y x))
(*.f64 (*.f64 x y) a)
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 a a)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
(*.f64 (/.f64 y a) x)
(/.f64 y a)
y
a
x
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
#s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y))
(*.f64 x y)
x
y
a
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))
(*.f64 (/.f64 (neg.f64 z) a) t)
(/.f64 (neg.f64 z) a)
(neg.f64 z)
z
a
t
(/.f64 (-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z)))) a)
(/.f64 (fma.f64 x y (*.f64 t (neg.f64 z))) a)
(-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z))))
(fma.f64 x y (*.f64 t (neg.f64 z)))
(*.f64 x y)
x
y
(exp.f64 (log.f64 (*.f64 t z)))
(*.f64 t z)
(log.f64 (*.f64 t z))
(*.f64 t z)
t
z
a

localize95.0ms (1.1%)

Memory
-3.8MiB live, 137.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.44921668583020585
(-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z))))
accuracy2.170154475939656
(/.f64 (-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z)))) a)
accuracy2.3063201140836544
(exp.f64 (log.f64 (*.f64 t z)))
accuracy8.848527972676022
(log.f64 (*.f64 t z))
accuracy0.0
(/.f64 (neg.f64 z) a)
accuracy0.0
(neg.f64 z)
accuracy1.2260989478489301
(*.f64 (/.f64 (neg.f64 z) a) t)
accuracy17.00323435059492
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))
accuracy0.0
(*.f64 x y)
accuracy2.170154475939656
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
accuracy16.916471581288192
#s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y))
accuracy0.0
(/.f64 y a)
accuracy2.0064744698256076
(*.f64 (/.f64 y a) x)
accuracy16.149828491010798
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
accuracy0.0
(neg.f64 z)
accuracy1.932074712733063
(fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x)))
accuracy3.313331687025621
(*.f64 a (*.f64 y x))
accuracy9.948006796178475
(/.f64 (fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x))) (*.f64 a a))
Samples
57.0ms144×0valid
22.0ms112×0invalid
Compiler

Compiled 160 to 30 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 15.0ms (41.2% of total)
ival-div: 10.0ms (27.5% of total)
ival-neg: 3.0ms (8.2% of total)
ival-exp: 2.0ms (5.5% of total)
ival-add: 2.0ms (5.5% of total)
ival-sub: 2.0ms (5.5% of total)
ival-log: 2.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series352.0ms (4.2%)

Memory
-59.9MiB live, 305.0MiB allocated
Counts
18 → 52
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x))) (*.f64 a a))
(fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x)))
(*.f64 (neg.f64 z) t)
(neg.f64 z)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
(*.f64 (/.f64 y a) x)
(/.f64 y a)
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
#s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y))
(*.f64 x y)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))
(*.f64 (/.f64 (neg.f64 z) a) t)
(/.f64 (neg.f64 z) a)
(exp.f64 (log.f64 (*.f64 t z)))
(/.f64 (-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z)))) a)
(-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z))))
(*.f64 a (*.f64 y x))
(log.f64 (*.f64 t z))
Outputs
(* -1 (/ (* t z) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(* -1 (* a (* t z)))
(+ (* -1 (* a (* t z))) (* a (* x y)))
(/ (* x y) a)
(* -1 (* t z))
(+ (* -1 (* t z)) (* x y))
(* x y)
(- (* x y) (* t z))
(* a (* x y))
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(* x (+ (* -1 (/ (* a (* t z)) x)) (* a y)))
(* x (+ y (* -1 (/ (* t z) x))))
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x))))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(/ y a)
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(* y (+ (* -1 (/ (* a (* t z)) y)) (* a x)))
(* y (+ x (* -1 (/ (* t z) y))))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y))))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(* -1 z)
(* -1 (/ z a))
(* t z)
(+ (log t) (log z))
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(* z (+ (* -1 (* a t)) (/ (* a (* x y)) z)))
(* z (+ (* -1 t) (/ (* x y) z)))
(* z (- (/ (* x y) z) t))
(+ (log t) (* -1 (log (/ 1 z))))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(* -1 (* z (+ (* -1 (/ (* a (* x y)) z)) (* a t))))
(* -1 (* z (+ t (* -1 (/ (* x y) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(+ (log (* -1 t)) (* -1 (log (/ -1 z))))
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(* t (+ (* -1 (* a z)) (/ (* a (* x y)) t)))
(* t (+ (* -1 z) (/ (* x y) t)))
(* t (- (/ (* x y) t) z))
(+ (log z) (* -1 (log (/ 1 t))))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(* -1 (* t (+ (* -1 (/ (* a (* x y)) t)) (* a z))))
(* -1 (* t (+ z (* -1 (/ (* x y) t)))))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(+ (log (* -1 z)) (* -1 (log (/ -1 t))))
(/ (+ (* -1 (* t z)) (* x y)) a)
(* a (+ (* -1 (* t z)) (* x y)))
(/ (- (* x y) (* t z)) a)
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a))
(* -1 (* a (+ (* -1 (* x y)) (* t z))))
Calls

15 calls:

TimeVariablePointExpression
119.0ms
y
@0
((/ (+ (* (* (neg z) t) a) (* a (* y x))) (* a a)) (+ (* (* (neg z) t) a) (* a (* y x))) (* (neg z) t) (neg z) (/ (- (* x y) (* z t)) a) (* (/ y a) x) (/ y a) (/ (+ (* y x) (* (neg z) t)) a) (+ (* y x) (* (neg z) t)) (* x y) (/ (- (* x y) (* z t)) a) (* (/ (neg z) a) t) (/ (neg z) a) (exp (log (* t z))) (/ (- (* x y) (exp (log (* t z)))) a) (- (* x y) (exp (log (* t z)))) (* a (* y x)) (log (* t z)))
61.0ms
z
@0
((/ (+ (* (* (neg z) t) a) (* a (* y x))) (* a a)) (+ (* (* (neg z) t) a) (* a (* y x))) (* (neg z) t) (neg z) (/ (- (* x y) (* z t)) a) (* (/ y a) x) (/ y a) (/ (+ (* y x) (* (neg z) t)) a) (+ (* y x) (* (neg z) t)) (* x y) (/ (- (* x y) (* z t)) a) (* (/ (neg z) a) t) (/ (neg z) a) (exp (log (* t z))) (/ (- (* x y) (exp (log (* t z)))) a) (- (* x y) (exp (log (* t z)))) (* a (* y x)) (log (* t z)))
60.0ms
t
@0
((/ (+ (* (* (neg z) t) a) (* a (* y x))) (* a a)) (+ (* (* (neg z) t) a) (* a (* y x))) (* (neg z) t) (neg z) (/ (- (* x y) (* z t)) a) (* (/ y a) x) (/ y a) (/ (+ (* y x) (* (neg z) t)) a) (+ (* y x) (* (neg z) t)) (* x y) (/ (- (* x y) (* z t)) a) (* (/ (neg z) a) t) (/ (neg z) a) (exp (log (* t z))) (/ (- (* x y) (exp (log (* t z)))) a) (- (* x y) (exp (log (* t z)))) (* a (* y x)) (log (* t z)))
58.0ms
t
@-inf
((/ (+ (* (* (neg z) t) a) (* a (* y x))) (* a a)) (+ (* (* (neg z) t) a) (* a (* y x))) (* (neg z) t) (neg z) (/ (- (* x y) (* z t)) a) (* (/ y a) x) (/ y a) (/ (+ (* y x) (* (neg z) t)) a) (+ (* y x) (* (neg z) t)) (* x y) (/ (- (* x y) (* z t)) a) (* (/ (neg z) a) t) (/ (neg z) a) (exp (log (* t z))) (/ (- (* x y) (exp (log (* t z)))) a) (- (* x y) (exp (log (* t z)))) (* a (* y x)) (log (* t z)))
14.0ms
z
@-inf
((/ (+ (* (* (neg z) t) a) (* a (* y x))) (* a a)) (+ (* (* (neg z) t) a) (* a (* y x))) (* (neg z) t) (neg z) (/ (- (* x y) (* z t)) a) (* (/ y a) x) (/ y a) (/ (+ (* y x) (* (neg z) t)) a) (+ (* y x) (* (neg z) t)) (* x y) (/ (- (* x y) (* z t)) a) (* (/ (neg z) a) t) (/ (neg z) a) (exp (log (* t z))) (/ (- (* x y) (exp (log (* t z)))) a) (- (* x y) (exp (log (* t z)))) (* a (* y x)) (log (* t z)))

simplify214.0ms (2.6%)

Memory
43.5MiB live, 185.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0164412
1605377
22038377
35215377
47514377
09323377
Stop Event
iter limit
node limit
Counts
52 → 52
Calls
Call 1
Inputs
(* -1 (/ (* t z) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(* -1 (* a (* t z)))
(+ (* -1 (* a (* t z))) (* a (* x y)))
(/ (* x y) a)
(* -1 (* t z))
(+ (* -1 (* t z)) (* x y))
(* x y)
(- (* x y) (* t z))
(* a (* x y))
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(* x (+ (* -1 (/ (* a (* t z)) x)) (* a y)))
(* x (+ y (* -1 (/ (* t z) x))))
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x))))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(/ y a)
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(* y (+ (* -1 (/ (* a (* t z)) y)) (* a x)))
(* y (+ x (* -1 (/ (* t z) y))))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y))))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(* -1 z)
(* -1 (/ z a))
(* t z)
(+ (log t) (log z))
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(* z (+ (* -1 (* a t)) (/ (* a (* x y)) z)))
(* z (+ (* -1 t) (/ (* x y) z)))
(* z (- (/ (* x y) z) t))
(+ (log t) (* -1 (log (/ 1 z))))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(* -1 (* z (+ (* -1 (/ (* a (* x y)) z)) (* a t))))
(* -1 (* z (+ t (* -1 (/ (* x y) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(+ (log (* -1 t)) (* -1 (log (/ -1 z))))
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(* t (+ (* -1 (* a z)) (/ (* a (* x y)) t)))
(* t (+ (* -1 z) (/ (* x y) t)))
(* t (- (/ (* x y) t) z))
(+ (log z) (* -1 (log (/ 1 t))))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(* -1 (* t (+ (* -1 (/ (* a (* x y)) t)) (* a z))))
(* -1 (* t (+ z (* -1 (/ (* x y) t)))))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(+ (log (* -1 z)) (* -1 (log (/ -1 t))))
(/ (+ (* -1 (* t z)) (* x y)) a)
(* a (+ (* -1 (* t z)) (* x y)))
(/ (- (* x y) (* t z)) a)
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a))
(* -1 (* a (+ (* -1 (* x y)) (* t z))))
Outputs
(* -1 (/ (* t z) a))
(*.f64 (neg.f64 t) (/.f64 z a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* a (* t z)))
(*.f64 (neg.f64 a) (*.f64 t z))
(+ (* -1 (* a (* t z))) (* a (* x y)))
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(/ (* x y) a)
(*.f64 (/.f64 x a) y)
(* -1 (* t z))
(*.f64 (neg.f64 t) z)
(+ (* -1 (* t z)) (* x y))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* x y)
(*.f64 x y)
(- (* x y) (* t z))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* a (* x y))
(*.f64 (*.f64 y a) x)
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* x (+ (* -1 (/ (* a (* t z)) x)) (* a y)))
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* x (+ y (* -1 (/ (* t z) x))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x))))
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(/ y a)
(/.f64 y a)
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* y (+ (* -1 (/ (* a (* t z)) y)) (* a x)))
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* y (+ x (* -1 (/ (* t z) y))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y))))
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* -1 z)
(neg.f64 z)
(* -1 (/ z a))
(/.f64 (neg.f64 z) a)
(* t z)
(*.f64 t z)
(+ (log t) (log z))
(+.f64 (log.f64 z) (log.f64 t))
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* z (+ (* -1 (* a t)) (/ (* a (* x y)) z)))
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* z (+ (* -1 t) (/ (* x y) z)))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* z (- (/ (* x y) z) t))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(+ (log t) (* -1 (log (/ 1 z))))
(+.f64 (log.f64 z) (log.f64 t))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* z (+ (* -1 (/ (* a (* x y)) z)) (* a t))))
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* z (+ t (* -1 (/ (* x y) z)))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(+ (log (* -1 t)) (* -1 (log (/ -1 z))))
(-.f64 (log.f64 (neg.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) z)))
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* t (+ (* -1 (* a z)) (/ (* a (* x y)) t)))
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* t (+ (* -1 z) (/ (* x y) t)))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* t (- (/ (* x y) t) z))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(+ (log z) (* -1 (log (/ 1 t))))
(+.f64 (log.f64 z) (log.f64 t))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* t (+ (* -1 (/ (* a (* x y)) t)) (* a z))))
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* t (+ z (* -1 (/ (* x y) t)))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(fma.f64 (neg.f64 t) z (*.f64 x y))
(+ (log (* -1 z)) (* -1 (log (/ -1 t))))
(-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) t)))
(/ (+ (* -1 (* t z)) (* x y)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* a (+ (* -1 (* t z)) (* x y)))
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(/ (- (* x y) (* t z)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* a (+ (* -1 (* x y)) (* t z))))
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)

rewrite189.0ms (2.3%)

Memory
13.4MiB live, 290.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034144
053142
1173136
2951128
08943120
Stop Event
iter limit
node limit
iter limit
Counts
18 → 710
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x))) (*.f64 a a))
(fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x)))
(*.f64 (neg.f64 z) t)
(neg.f64 z)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
(*.f64 (/.f64 y a) x)
(/.f64 y a)
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
#s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y))
(*.f64 x y)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))
(*.f64 (/.f64 (neg.f64 z) a) t)
(/.f64 (neg.f64 z) a)
(exp.f64 (log.f64 (*.f64 t z)))
(/.f64 (-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z)))) a)
(-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z))))
(*.f64 a (*.f64 y x))
(log.f64 (*.f64 t z))
Outputs
(*.f64 (/.f64 (fma.f64 t z (*.f64 x y)) (fma.f64 t z (*.f64 x y))) (/.f64 (fma.f64 t z (*.f64 x y)) a))
(*.f64 (/.f64 (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (fma.f64 t z (*.f64 x y)) a))
(*.f64 (/.f64 (*.f64 a (fma.f64 t z (*.f64 x y))) (*.f64 (neg.f64 a) (fma.f64 t z (*.f64 x y)))) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) a))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x y) a) a) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 (*.f64 a t) z) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x y) a) a) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 (*.f64 a t) z) #s(literal 2 binary64)))) (/.f64 (fma.f64 t z (*.f64 x y)) a))
(*.f64 (/.f64 a (*.f64 a a)) (fma.f64 t z (*.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t z (*.f64 x y)) a))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) a))
(*.f64 a (fma.f64 (/.f64 x a) (/.f64 y a) (*.f64 (/.f64 (neg.f64 t) a) (/.f64 z a))))
(*.f64 a (fma.f64 (/.f64 (neg.f64 t) a) (/.f64 z a) (*.f64 (/.f64 x a) (/.f64 y a))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) a)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (neg.f64 z) a) t) (*.f64 (/.f64 y a) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y a) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) a)) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y a) x))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) a)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 y a) x) t) (/.f64 z a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 z) a) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y a) x) (*.f64 (/.f64 (neg.f64 z) a) t)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 z) a) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 z) a) t) (*.f64 (/.f64 y a) x)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 t z (*.f64 x y)) a) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) a))) (/.f64 (fma.f64 t z (*.f64 x y)) a))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)) (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) a)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 t (neg.f64 z))) a) a (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 x y)))) (neg.f64 (pow.f64 a #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 t z) a) (fma.f64 t (/.f64 z a) (*.f64 (/.f64 y a) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 a t) z) a) (*.f64 a a)) (*.f64 (neg.f64 a) (*.f64 (*.f64 (neg.f64 a) x) y))) (*.f64 (neg.f64 a) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a (*.f64 t (neg.f64 z))) a) (*.f64 a a)) (*.f64 a (*.f64 (*.f64 (neg.f64 a) x) y))) (pow.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a t) z) (*.f64 a a)) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 (neg.f64 a) x) y))) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a (*.f64 t (neg.f64 z))) a) a) (*.f64 (*.f64 a a) (*.f64 (*.f64 (neg.f64 a) x) y))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 a)) (*.f64 (*.f64 a t) z)) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 a) x) y) (*.f64 a (*.f64 t (neg.f64 z)))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x y) a) (neg.f64 a)) (neg.f64 a) (*.f64 (neg.f64 a) (/.f64 (*.f64 (*.f64 a t) z) a))) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x y) a) (neg.f64 a)) a (*.f64 (neg.f64 a) (/.f64 (*.f64 a (*.f64 t (neg.f64 z))) a))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x y) a) (neg.f64 a)) (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) (*.f64 (*.f64 a t) z))) (*.f64 (neg.f64 a) (*.f64 (neg.f64 a) a)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x y) a) (neg.f64 a)) (*.f64 a a) (*.f64 (neg.f64 a) (*.f64 a (*.f64 t (neg.f64 z))))) (*.f64 (neg.f64 a) (*.f64 a a)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x y) a) a) (neg.f64 a) (*.f64 a (/.f64 (*.f64 (*.f64 a t) z) a))) (*.f64 (neg.f64 a) a))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x y) a) a) a (*.f64 a (/.f64 (*.f64 a (*.f64 t (neg.f64 z))) a))) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x y) a) a) (*.f64 (neg.f64 a) a) (*.f64 a (*.f64 (*.f64 a t) z))) (*.f64 a (*.f64 (neg.f64 a) a)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x y) a) a) (*.f64 a a) (*.f64 (*.f64 a (*.f64 t (neg.f64 z))) a)) (pow.f64 a #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) x) y) (neg.f64 a) (*.f64 (*.f64 (neg.f64 a) a) (/.f64 (*.f64 (*.f64 a t) z) a))) (*.f64 (*.f64 (neg.f64 a) a) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) x) y) a (*.f64 (*.f64 (neg.f64 a) a) (/.f64 (*.f64 a (*.f64 t (neg.f64 z))) a))) (*.f64 (*.f64 (neg.f64 a) a) a))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) x) y) (*.f64 (neg.f64 a) a) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 a t) z))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) x) y) (*.f64 a a) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a (*.f64 t (neg.f64 z))))) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a a)))
(/.f64 (fma.f64 (*.f64 (*.f64 x y) a) (neg.f64 a) (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 a t) z) a))) (*.f64 (*.f64 a a) (neg.f64 a)))
(/.f64 (fma.f64 (*.f64 a (*.f64 a x)) y (*.f64 (*.f64 a a) (/.f64 (*.f64 a (*.f64 t (neg.f64 z))) a))) (pow.f64 a #s(literal 3 binary64)))
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(-.f64 (-.f64 (*.f64 x y) (cosh.f64 (log.f64 (*.f64 t z)))) (sinh.f64 (log.f64 (*.f64 t z))))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 t z (*.f64 x y))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 x y))))
(-.f64 (*.f64 t z) (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 x y) (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 z)))
(-.f64 (*.f64 x y) (*.f64 t z))
(-.f64 (*.f64 x y) (*.f64 t (neg.f64 z)))
(-.f64 (*.f64 t (neg.f64 z)) (*.f64 (neg.f64 y) x))
(+.f64 (fma.f64 x y (neg.f64 (cosh.f64 (log.f64 (*.f64 t z))))) (sinh.f64 (neg.f64 (log.f64 (*.f64 t z)))))
(+.f64 (+.f64 (fma.f64 x y (cosh.f64 (log.f64 (*.f64 t z)))) (*.f64 (sinh.f64 (log.f64 t)) (cosh.f64 (log.f64 z)))) (*.f64 (cosh.f64 (log.f64 t)) (sinh.f64 (log.f64 z))))
(+.f64 (fma.f64 x y (sinh.f64 (log.f64 (*.f64 t z)))) (cosh.f64 (log.f64 (*.f64 t z))))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (fma.f64 t z (*.f64 x y))))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (fma.f64 t z (*.f64 x y))))))
(+.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (fma.f64 t z (*.f64 x y))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (fma.f64 t z (*.f64 x y))))))
(+.f64 (neg.f64 (*.f64 (neg.f64 y) x)) (*.f64 t (neg.f64 z)))
(+.f64 (fma.f64 x y (cosh.f64 (log.f64 (*.f64 t z)))) (sinh.f64 (log.f64 (*.f64 t z))))
(+.f64 (neg.f64 (cosh.f64 (log.f64 (*.f64 t z)))) (-.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 t z)))) (*.f64 (neg.f64 y) x)))
(+.f64 (neg.f64 (cosh.f64 (log.f64 (*.f64 t z)))) (+.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 t z)))) (*.f64 x y)))
(+.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (*.f64 t z) (fma.f64 t z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 t z (*.f64 x y))) (/.f64 (neg.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (fma.f64 t z (*.f64 x y))))
(+.f64 (sinh.f64 (log.f64 (*.f64 t z))) (+.f64 (cosh.f64 (log.f64 (*.f64 t z))) (*.f64 x y)))
(+.f64 (cosh.f64 (log.f64 (*.f64 t z))) (+.f64 (sinh.f64 (log.f64 (*.f64 t z))) (*.f64 x y)))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 z)))
(+.f64 (*.f64 x y) (*.f64 t z))
(+.f64 (*.f64 x y) (*.f64 t (neg.f64 z)))
(+.f64 (*.f64 t (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 x)) y))
(+.f64 (*.f64 t (neg.f64 z)) (neg.f64 (*.f64 (neg.f64 y) x)))
(+.f64 (*.f64 t (neg.f64 z)) (*.f64 x y))
(*.f64 (*.f64 x a) y)
(*.f64 (*.f64 a x) y)
(*.f64 (*.f64 y a) x)
(*.f64 (*.f64 x y) a)
(*.f64 x (*.f64 y a))
(*.f64 y (*.f64 x a))
(*.f64 a (*.f64 x y))
(neg.f64 (*.f64 (*.f64 (neg.f64 a) x) y))
(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (-.f64 (log.f64 z) (log.f64 t)))
(/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 t) #s(literal 3 binary64))) (fma.f64 (log.f64 z) (log.f64 z) (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 t)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 t z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 t) (log.f64 t) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (log.f64 t))))))
(/.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (log.f64 (/.f64 t z)))
(/.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (fma.f64 (log.f64 t) (log.f64 t) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (log.f64 t)))))
(-.f64 (/.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (log.f64 (/.f64 t z))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 t z))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 t z))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (*.f64 t z))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 t z))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (log.f64 (*.f64 t z))) (-.f64 (sinh.f64 (log.f64 (*.f64 t z))) (cosh.f64 (log.f64 (*.f64 t z))))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (*.f64 t z))))
(+.f64 (/.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (fma.f64 (log.f64 t) (log.f64 t) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (log.f64 t))))) (/.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (fma.f64 (log.f64 t) (log.f64 t) (*.f64 (log.f64 z) (-.f64 (log.f64 z) (log.f64 t))))))
(+.f64 (log.f64 z) (log.f64 t))
(+.f64 (log.f64 t) (log.f64 z))
(log.f64 (*.f64 t z))

eval160.0ms (1.9%)

Memory
-28.0MiB live, 130.4MiB allocated
Compiler

Compiled 13 493 to 1 597 computations (88.2% saved)

prune51.0ms (0.6%)

Memory
1.2MiB live, 47.1MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New5423545
Fresh000
Picked235
Done044
Total54410554
Accuracy
100.0%
Counts
554 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.3%
(fma.f64 (/.f64 (*.f64 a (neg.f64 z)) a) (/.f64 t a) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
67.5%
(fma.f64 (*.f64 t (neg.f64 z)) (/.f64 a (*.f64 a a)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
91.9%
(/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a)
48.2%
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a)
36.1%
(/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z))) (*.f64 a a))
51.8%
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
51.8%
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))
50.7%
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
52.9%
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
50.3%
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
Compiler

Compiled 156 to 128 computations (17.9% saved)

simplify283.0ms (3.4%)

Memory
-17.9MiB live, 122.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a (neg.f64 z))
cost-diff2
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x))
cost-diff2
(fma.f64 (/.f64 (*.f64 a (neg.f64 z)) a) (/.f64 t a) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
cost-diff4
(/.f64 (*.f64 a (neg.f64 z)) a)
cost-diff0
(*.f64 t (neg.f64 z))
cost-diff2
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x))
cost-diff2
(/.f64 a (*.f64 a a))
cost-diff4
(fma.f64 (*.f64 t (neg.f64 z)) (/.f64 a (*.f64 a a)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
cost-diff0
(neg.f64 a)
cost-diff0
(*.f64 (neg.f64 a) (*.f64 t z))
cost-diff0
#s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z)))
cost-diff0
(/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z))) (*.f64 a a))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029164
047152
1105140
2326132
31158132
43559132
54766132
65042132
75130132
85132132
95132132
105680132
115775132
125782132
135782132
145782132
155962132
166186132
176226132
186226132
197546132
207648132
217648132
227680132
237680132
247680132
010965132
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z))) (*.f64 a a))
#s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z)))
(*.f64 (neg.f64 a) (*.f64 t z))
(neg.f64 a)
a
(*.f64 t z)
t
z
(*.f64 a a)
(fma.f64 (*.f64 t (neg.f64 z)) (/.f64 a (*.f64 a a)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
(*.f64 t (neg.f64 z))
t
(neg.f64 z)
z
(/.f64 a (*.f64 a a))
a
(*.f64 a a)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x))
#s(literal 1 binary64)
(*.f64 (/.f64 y a) x)
(/.f64 y a)
y
x
(fma.f64 (/.f64 (*.f64 a (neg.f64 z)) a) (/.f64 t a) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
(/.f64 (*.f64 a (neg.f64 z)) a)
(*.f64 a (neg.f64 z))
a
(neg.f64 z)
z
(/.f64 t a)
t
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x))
#s(literal 1 binary64)
(*.f64 (/.f64 y a) x)
(/.f64 y a)
y
x
Outputs
(/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z))) (*.f64 a a))
(/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 t) (*.f64 a z))) (*.f64 a a))
#s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z)))
#s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 t) (*.f64 a z)))
(*.f64 (neg.f64 a) (*.f64 t z))
(*.f64 (neg.f64 t) (*.f64 a z))
(neg.f64 a)
a
(*.f64 t z)
t
z
(*.f64 a a)
(fma.f64 (*.f64 t (neg.f64 z)) (/.f64 a (*.f64 a a)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(*.f64 t (neg.f64 z))
(*.f64 (neg.f64 z) t)
t
(neg.f64 z)
z
(/.f64 a (*.f64 a a))
(/.f64 #s(literal 1 binary64) a)
a
(*.f64 a a)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x))
(*.f64 (/.f64 y a) x)
#s(literal 1 binary64)
(*.f64 (/.f64 y a) x)
(/.f64 y a)
y
x
(fma.f64 (/.f64 (*.f64 a (neg.f64 z)) a) (/.f64 t a) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(/.f64 (*.f64 a (neg.f64 z)) a)
(neg.f64 z)
(*.f64 a (neg.f64 z))
(*.f64 (neg.f64 z) a)
a
(neg.f64 z)
z
(/.f64 t a)
t
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x))
(*.f64 (/.f64 y a) x)
#s(literal 1 binary64)
(*.f64 (/.f64 y a) x)
(/.f64 y a)
y
x

localize123.0ms (1.5%)

Memory
18.1MiB live, 164.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 z)
accuracy3.9171963435514052
(*.f64 (/.f64 y a) x)
accuracy5.968542406395317
(fma.f64 (/.f64 (*.f64 a (neg.f64 z)) a) (/.f64 t a) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
accuracy15.850368979846067
(/.f64 (*.f64 a (neg.f64 z)) a)
accuracy0.0
(neg.f64 z)
accuracy3.9171963435514052
(*.f64 (/.f64 y a) x)
accuracy5.713402374972649
(fma.f64 (*.f64 t (neg.f64 z)) (/.f64 a (*.f64 a a)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
accuracy26.927749975689085
(/.f64 a (*.f64 a a))
accuracy0.0
(neg.f64 a)
accuracy4.669232311172547
(*.f64 (neg.f64 a) (*.f64 t z))
accuracy19.91569590112402
(/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z))) (*.f64 a a))
accuracy28.654864029899386
#s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z)))
Samples
89.0ms256×0valid
Compiler

Compiled 154 to 31 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 55.0ms (76.7% of total)
ival-div: 11.0ms (15.3% of total)
ival-add: 3.0ms (4.2% of total)
ival-neg: 2.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series70.0ms (0.8%)

Memory
-18.7MiB live, 70.2MiB allocated
Counts
13 → 31
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z))) (*.f64 a a))
#s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z)))
(*.f64 (neg.f64 a) (*.f64 t z))
(neg.f64 a)
(fma.f64 (*.f64 t (neg.f64 z)) (/.f64 a (*.f64 a a)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
(/.f64 a (*.f64 a a))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x))
(*.f64 t (neg.f64 z))
(/.f64 (*.f64 a (neg.f64 z)) a)
(fma.f64 (/.f64 (*.f64 a (neg.f64 z)) a) (/.f64 t a) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
(*.f64 a (neg.f64 z))
(*.f64 (/.f64 y a) x)
(neg.f64 z)
Outputs
(* -1 (/ (* t z) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(* -1 (* a (* t z)))
(+ (* -1 (* a (* t z))) (* a (* x y)))
(/ (* x y) a)
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(* a (* x y))
(* x (+ (* -1 (/ (* a (* t z)) x)) (* a y)))
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x))))
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(* y (+ (* -1 (/ (* a (* t z)) y)) (* a x)))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y))))
(* -1 (* t z))
(* -1 z)
(* -1 (* a z))
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(* z (+ (* -1 (* a t)) (/ (* a (* x y)) z)))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(* -1 (* z (+ (* -1 (/ (* a (* x y)) z)) (* a t))))
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(* t (+ (* -1 (* a z)) (/ (* a (* x y)) t)))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(* -1 (* t (+ (* -1 (/ (* a (* x y)) t)) (* a z))))
(/ (+ (* -1 (* t z)) (* x y)) a)
(* a (+ (* -1 (* t z)) (* x y)))
(* -1 a)
(/ 1 a)
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a))
(* -1 (* a (+ (* -1 (* x y)) (* t z))))
Calls

15 calls:

TimeVariablePointExpression
45.0ms
a
@-inf
((/ (+ (* (* (neg z) t) a) (* a (* y x))) (* a a)) (+ (* (* (neg z) t) a) (* a (* y x))) (* (neg a) (* t z)) (neg a) (+ (* (* t (neg z)) (/ a (* a a))) (* 1 (* (/ y a) x))) (/ a (* a a)) (* 1 (* (/ y a) x)) (* t (neg z)) (/ (* a (neg z)) a) (+ (* (/ (* a (neg z)) a) (/ t a)) (* 1 (* (/ y a) x))) (* a (neg z)) (* (/ y a) x) (neg z))
4.0ms
y
@-inf
((/ (+ (* (* (neg z) t) a) (* a (* y x))) (* a a)) (+ (* (* (neg z) t) a) (* a (* y x))) (* (neg a) (* t z)) (neg a) (+ (* (* t (neg z)) (/ a (* a a))) (* 1 (* (/ y a) x))) (/ a (* a a)) (* 1 (* (/ y a) x)) (* t (neg z)) (/ (* a (neg z)) a) (+ (* (/ (* a (neg z)) a) (/ t a)) (* 1 (* (/ y a) x))) (* a (neg z)) (* (/ y a) x) (neg z))
3.0ms
z
@inf
((/ (+ (* (* (neg z) t) a) (* a (* y x))) (* a a)) (+ (* (* (neg z) t) a) (* a (* y x))) (* (neg a) (* t z)) (neg a) (+ (* (* t (neg z)) (/ a (* a a))) (* 1 (* (/ y a) x))) (/ a (* a a)) (* 1 (* (/ y a) x)) (* t (neg z)) (/ (* a (neg z)) a) (+ (* (/ (* a (neg z)) a) (/ t a)) (* 1 (* (/ y a) x))) (* a (neg z)) (* (/ y a) x) (neg z))
2.0ms
a
@0
((/ (+ (* (* (neg z) t) a) (* a (* y x))) (* a a)) (+ (* (* (neg z) t) a) (* a (* y x))) (* (neg a) (* t z)) (neg a) (+ (* (* t (neg z)) (/ a (* a a))) (* 1 (* (/ y a) x))) (/ a (* a a)) (* 1 (* (/ y a) x)) (* t (neg z)) (/ (* a (neg z)) a) (+ (* (/ (* a (neg z)) a) (/ t a)) (* 1 (* (/ y a) x))) (* a (neg z)) (* (/ y a) x) (neg z))
2.0ms
a
@inf
((/ (+ (* (* (neg z) t) a) (* a (* y x))) (* a a)) (+ (* (* (neg z) t) a) (* a (* y x))) (* (neg a) (* t z)) (neg a) (+ (* (* t (neg z)) (/ a (* a a))) (* 1 (* (/ y a) x))) (/ a (* a a)) (* 1 (* (/ y a) x)) (* t (neg z)) (/ (* a (neg z)) a) (+ (* (/ (* a (neg z)) a) (/ t a)) (* 1 (* (/ y a) x))) (* a (neg z)) (* (/ y a) x) (neg z))

simplify174.0ms (2.1%)

Memory
9.8MiB live, 259.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102327
1406317
21554279
36136269
08199267
Stop Event
iter limit
node limit
Counts
31 → 31
Calls
Call 1
Inputs
(* -1 (/ (* t z) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(* -1 (* a (* t z)))
(+ (* -1 (* a (* t z))) (* a (* x y)))
(/ (* x y) a)
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(* a (* x y))
(* x (+ (* -1 (/ (* a (* t z)) x)) (* a y)))
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x))))
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(* y (+ (* -1 (/ (* a (* t z)) y)) (* a x)))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y))))
(* -1 (* t z))
(* -1 z)
(* -1 (* a z))
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(* z (+ (* -1 (* a t)) (/ (* a (* x y)) z)))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(* -1 (* z (+ (* -1 (/ (* a (* x y)) z)) (* a t))))
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(* t (+ (* -1 (* a z)) (/ (* a (* x y)) t)))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(* -1 (* t (+ (* -1 (/ (* a (* x y)) t)) (* a z))))
(/ (+ (* -1 (* t z)) (* x y)) a)
(* a (+ (* -1 (* t z)) (* x y)))
(* -1 a)
(/ 1 a)
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a))
(* -1 (* a (+ (* -1 (* x y)) (* t z))))
Outputs
(* -1 (/ (* t z) a))
(*.f64 (neg.f64 t) (/.f64 z a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* a (* t z)))
(*.f64 (neg.f64 t) (*.f64 a z))
(+ (* -1 (* a (* t z))) (* a (* x y)))
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(/ (* x y) a)
(*.f64 (/.f64 x a) y)
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(*.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 t) x) z y) a) x)
(* a (* x y))
(*.f64 (*.f64 y a) x)
(* x (+ (* -1 (/ (* a (* t z)) x)) (* a y)))
(*.f64 (*.f64 a (-.f64 y (*.f64 (/.f64 z x) t))) x)
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 t) x) z y) a) x)
(* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x))))
(*.f64 (*.f64 a (-.f64 y (*.f64 (/.f64 z x) t))) x)
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(*.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 t) y) z x) a) y)
(* y (+ (* -1 (/ (* a (* t z)) y)) (* a x)))
(*.f64 (*.f64 a (-.f64 x (*.f64 (/.f64 z y) t))) y)
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 t) y) z x) a) y)
(* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y))))
(*.f64 (*.f64 a (-.f64 x (*.f64 (/.f64 z y) t))) y)
(* -1 (* t z))
(*.f64 (neg.f64 t) z)
(* -1 z)
(neg.f64 z)
(* -1 (* a z))
(*.f64 (neg.f64 z) a)
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(*.f64 (/.f64 (fma.f64 (/.f64 x z) y (neg.f64 t)) a) z)
(* z (+ (* -1 (* a t)) (/ (* a (* x y)) z)))
(*.f64 (*.f64 a z) (fma.f64 (/.f64 x z) y (neg.f64 t)))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(*.f64 (/.f64 (fma.f64 (/.f64 x z) y (neg.f64 t)) a) z)
(* -1 (* z (+ (* -1 (/ (* a (* x y)) z)) (* a t))))
(*.f64 (*.f64 a z) (fma.f64 (/.f64 x z) y (neg.f64 t)))
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(*.f64 (/.f64 (fma.f64 (/.f64 x t) y (neg.f64 z)) a) t)
(* t (+ (* -1 (* a z)) (/ (* a (* x y)) t)))
(*.f64 (*.f64 a t) (fma.f64 (/.f64 x t) y (neg.f64 z)))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(*.f64 (/.f64 (fma.f64 (/.f64 x t) y (neg.f64 z)) a) t)
(* -1 (* t (+ (* -1 (/ (* a (* x y)) t)) (* a z))))
(*.f64 (*.f64 a t) (fma.f64 (/.f64 x t) y (neg.f64 z)))
(/ (+ (* -1 (* t z)) (* x y)) a)
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* a (+ (* -1 (* t z)) (* x y)))
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 a)
(neg.f64 a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a))
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
(* -1 (* a (+ (* -1 (* x y)) (* t z))))
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)

rewrite280.0ms (3.3%)

Memory
16.0MiB live, 250.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029117
047111
115597
2112195
0827993
Stop Event
iter limit
node limit
iter limit
Counts
13 → 780
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z))) (*.f64 a a))
#s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z)))
(*.f64 (neg.f64 a) (*.f64 t z))
(neg.f64 a)
(fma.f64 (*.f64 t (neg.f64 z)) (/.f64 a (*.f64 a a)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
(/.f64 a (*.f64 a a))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x))
(*.f64 t (neg.f64 z))
(/.f64 (*.f64 a (neg.f64 z)) a)
(fma.f64 (/.f64 (*.f64 a (neg.f64 z)) a) (/.f64 t a) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
(*.f64 a (neg.f64 z))
(*.f64 (/.f64 y a) x)
(neg.f64 z)
Outputs
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (*.f64 a t) (neg.f64 z)))))) (*.f64 (neg.f64 a) a))
(/.f64 (/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (*.f64 a t) (neg.f64 z))) (neg.f64 a)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (*.f64 a t) (neg.f64 z))))) (*.f64 a a))
(/.f64 (/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (*.f64 a t) (neg.f64 z))) a) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (*.f64 a t) (neg.f64 z))) a) a)
(/.f64 (neg.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (*.f64 a t) (neg.f64 z)))) (*.f64 (neg.f64 a) a))
(/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (*.f64 a t) (neg.f64 z))) (*.f64 a a))
(neg.f64 (/.f64 (/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (*.f64 a t) (neg.f64 z))) (neg.f64 a)) a))
(neg.f64 (/.f64 (/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (*.f64 a t) (neg.f64 z))) a) (neg.f64 a)))
(neg.f64 (/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (*.f64 a t) (neg.f64 z))) (*.f64 (neg.f64 a) a)))
#s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (*.f64 a t) (neg.f64 z)))
(*.f64 (*.f64 a t) (neg.f64 z))
(*.f64 (*.f64 (neg.f64 t) a) z)
(*.f64 (*.f64 a z) (neg.f64 t))
(*.f64 (neg.f64 t) (*.f64 a z))
(*.f64 (*.f64 (neg.f64 z) a) t)
(*.f64 (*.f64 (neg.f64 z) t) a)
(*.f64 (neg.f64 z) (*.f64 a t))
(*.f64 (*.f64 t z) (neg.f64 a))
(*.f64 (neg.f64 a) (*.f64 t z))
(*.f64 a (*.f64 (neg.f64 z) t))
(*.f64 t (*.f64 (neg.f64 z) a))
(*.f64 z (*.f64 (neg.f64 t) a))
(neg.f64 (*.f64 z (*.f64 a t)))
(neg.f64 (*.f64 (*.f64 a t) z))
(neg.f64 a)
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)) (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)) (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)))) (+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)) (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))) (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64)))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))))) (-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)) (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)) (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)) (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z (pow.f64 a #s(literal -1 binary64))) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (*.f64 (*.f64 z (pow.f64 a #s(literal -1 binary64))) t)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))) (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64)))))))) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64)))))))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t) (*.f64 (*.f64 x y) #s(literal 1 binary64))) a)
(/.f64 (fma.f64 (*.f64 (neg.f64 z) t) #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal 1 binary64))) a)
(/.f64 (fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) t (*.f64 (*.f64 x y) #s(literal 1 binary64))) a)
(/.f64 (fma.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) t (*.f64 (neg.f64 x) y)) (neg.f64 a))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t) (*.f64 #s(literal 1 binary64) (*.f64 x y))) a)
(/.f64 (fma.f64 (*.f64 (neg.f64 z) t) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x y))) a)
(/.f64 (fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) t (*.f64 #s(literal 1 binary64) (*.f64 x y))) a)
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t) (*.f64 x y)) a)
(/.f64 (fma.f64 (*.f64 (neg.f64 z) t) #s(literal 1 binary64) (*.f64 x y)) a)
(/.f64 (fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t))) a)
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t))) a)
(/.f64 (fma.f64 x y (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t))) a)
(/.f64 (fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) t) #s(literal 1 binary64))) a)
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 (neg.f64 z) t) #s(literal 1 binary64))) a)
(/.f64 (fma.f64 x y (*.f64 (*.f64 (neg.f64 z) t) #s(literal 1 binary64))) a)
(/.f64 (fma.f64 (neg.f64 x) y (*.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) t)) (neg.f64 a))
(/.f64 (fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) t)) a)
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) t)) a)
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) t (*.f64 x y))) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 x y (*.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) t))) (neg.f64 a))
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(fma.f64 x (/.f64 y a) (*.f64 (neg.f64 (*.f64 (neg.f64 t) (neg.f64 z))) (pow.f64 a #s(literal -1 binary64))))
(fma.f64 x (/.f64 y a) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 (/.f64 z a) #s(literal -1 binary64))))
(fma.f64 x (/.f64 y a) (*.f64 (/.f64 (*.f64 t z) a) #s(literal -1 binary64)))
(fma.f64 y (/.f64 x a) (*.f64 (neg.f64 (*.f64 (neg.f64 t) (neg.f64 z))) (pow.f64 a #s(literal -1 binary64))))
(fma.f64 y (/.f64 x a) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 (/.f64 z a) #s(literal -1 binary64))))
(fma.f64 y (/.f64 x a) (*.f64 (/.f64 (*.f64 t z) a) #s(literal -1 binary64)))
(fma.f64 a (*.f64 (/.f64 z (neg.f64 a)) (/.f64 t a)) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 y a)))
(fma.f64 a (*.f64 (/.f64 z (neg.f64 a)) (/.f64 t a)) (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 y a)))
(fma.f64 a (*.f64 (/.f64 z (neg.f64 a)) (/.f64 t a)) (*.f64 (*.f64 (/.f64 (neg.f64 y) a) x) #s(literal -1 binary64)))
(fma.f64 a (*.f64 (/.f64 z (neg.f64 a)) (/.f64 t a)) (*.f64 (/.f64 y a) x))
(fma.f64 t (*.f64 (/.f64 z a) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 y a)))
(fma.f64 t (*.f64 (/.f64 z a) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 y a)))
(fma.f64 t (*.f64 (/.f64 z a) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 y) a) x) #s(literal -1 binary64)))
(fma.f64 t (*.f64 (/.f64 z a) #s(literal -1 binary64)) (*.f64 (/.f64 y a) x))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))) (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)) (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)))
(-.f64 (*.f64 (/.f64 (*.f64 t z) a) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) a) x))
(-.f64 (*.f64 (/.f64 y a) x) (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))
(-.f64 (*.f64 (/.f64 y a) x) (*.f64 z (*.f64 t (pow.f64 a #s(literal -1 binary64)))))
(-.f64 (*.f64 (/.f64 y a) x) (*.f64 (*.f64 z (pow.f64 a #s(literal -1 binary64))) t))
(+.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 a a)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (neg.f64 (*.f64 a (*.f64 z (*.f64 a t)))) (pow.f64 a #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 t z) (*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 y a) x)))))) (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 t z) (*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 y a) x)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 t z) (*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 y a) x)))))) (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 t z) (*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 y a) x)))))))
(+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 z (*.f64 a t)) a)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 a a) (*.f64 x y)) (pow.f64 a #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 x y) a) (*.f64 a a)) (/.f64 (*.f64 a (*.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) t)) (*.f64 a a)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) t) a) (*.f64 a a)) (/.f64 (*.f64 (*.f64 x y) a) (*.f64 a a)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))) (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y a) x) (fma.f64 (/.f64 y a) x (*.f64 z (*.f64 (/.f64 t a) #s(literal 1 binary64))))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t z) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)) (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y a) x) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t)) (*.f64 x y)) a)))
(+.f64 (*.f64 (/.f64 (*.f64 t z) a) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 y a)))
(+.f64 (*.f64 (/.f64 (*.f64 t z) a) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 y a)))
(+.f64 (*.f64 (/.f64 (*.f64 t z) a) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 y) a) x) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 t z) a) #s(literal -1 binary64)) (*.f64 (/.f64 y a) x))
(+.f64 (*.f64 (/.f64 y a) x) (*.f64 (neg.f64 (*.f64 (neg.f64 t) (neg.f64 z))) (pow.f64 a #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 y a) x) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 (/.f64 z a) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 y a) x) (*.f64 (/.f64 (*.f64 t z) a) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 z))) a)
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 a))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 z) a)
(*.f64 (neg.f64 a) (neg.f64 (neg.f64 z)))
(*.f64 (neg.f64 a) z)
(*.f64 a (neg.f64 (neg.f64 (neg.f64 z))))
(*.f64 a (neg.f64 z))
(*.f64 z (neg.f64 a))
(neg.f64 (*.f64 a z))
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y a))
(*.f64 (*.f64 (/.f64 y a) x) #s(literal 1 binary64))
(*.f64 (/.f64 y a) (*.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 y a) x)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x))
(*.f64 x (/.f64 y a))
(*.f64 y (/.f64 x a))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y))) (neg.f64 a))
(/.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) a)
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 a))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) a)
(/.f64 (*.f64 x y) a)
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) a))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 a)))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) a) x))
(neg.f64 z)

eval66.0ms (0.8%)

Memory
-33.8MiB live, 113.1MiB allocated
Compiler

Compiled 9 752 to 924 computations (90.5% saved)

prune13.0ms (0.2%)

Memory
34.2MiB live, 34.2MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New4563459
Fresh000
Picked213
Done077
Total45811469
Accuracy
100.0%
Counts
469 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.6%
(fma.f64 (/.f64 (*.f64 a (neg.f64 z)) a) (/.f64 t a) (/.f64 (*.f64 x y) a))
61.2%
(fma.f64 (*.f64 (neg.f64 z) a) (/.f64 t (*.f64 a a)) (*.f64 (/.f64 y a) x))
91.9%
(/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a)
48.2%
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a)
36.1%
(/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z))) (*.f64 a a))
51.8%
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
51.8%
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))
50.7%
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
52.9%
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
50.3%
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
83.0%
#s(approx (/ (+ (* (* (neg z) t) a) (* a (* y x))) (* a a)) (*.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 t) y) z x) a) y))
Compiler

Compiled 440 to 221 computations (49.8% saved)

regimes63.0ms (0.7%)

Memory
-1.0MiB live, 91.8MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a)
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
(/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a)
(/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z))) (*.f64 a a))
#s(approx (/ (+ (* (* (neg z) t) a) (* a (* y x))) (* a a)) (*.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 t) y) z x) a) y))
(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 z) t) a (*.f64 a (*.f64 y x))) (*.f64 a a))
(fma.f64 (*.f64 (neg.f64 z) a) (/.f64 t (*.f64 a a)) (*.f64 (/.f64 y a) x))
(fma.f64 (*.f64 t (neg.f64 z)) (/.f64 a (*.f64 a a)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
(fma.f64 (/.f64 (*.f64 a (neg.f64 z)) a) (/.f64 t a) (/.f64 (*.f64 x y) a))
(fma.f64 (/.f64 (*.f64 a (neg.f64 z)) a) (/.f64 t a) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y a) x)))
(/.f64 (-.f64 (*.f64 x y) (exp.f64 (log.f64 (*.f64 t z)))) a)
Outputs
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a)))
Calls

9 calls:

23.0ms
t
6.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
5.0ms
a
5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
97.7%3(*.f64 z t)
95.1%3(*.f64 x y)
95.7%3(-.f64 (*.f64 x y) (*.f64 z t))
91.9%1(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
91.9%1x
95.3%2y
95.9%3z
94.0%2t
97.0%2a
Compiler

Compiled 27 to 54 computations (-100% saved)

regimes10.0ms (0.1%)

Memory
-21.2MiB live, 21.8MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a)
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
(/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a)
(/.f64 #s(approx (+ (* (* (neg z) t) a) (* a (* y x))) (*.f64 (neg.f64 a) (*.f64 t z))) (*.f64 a a))
#s(approx (/ (+ (* (* (neg z) t) a) (* a (* y x))) (* a a)) (*.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 t) y) z x) a) y))
Outputs
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
(/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
Calls

2 calls:

6.0ms
(*.f64 z t)
3.0ms
a
Results
AccuracySegmentsBranch
97.7%3(*.f64 z t)
91.9%1a
Compiler

Compiled 4 to 11 computations (-175% saved)

regimes3.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a)
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
Outputs
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
Calls

1 calls:

2.0ms
(*.f64 z t)
Results
AccuracySegmentsBranch
97.7%3(*.f64 z t)
Compiler

Compiled 3 to 6 computations (-100% saved)

regimes26.0ms (0.3%)

Memory
10.8MiB live, 61.3MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a)
Outputs
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))
Calls

9 calls:

7.0ms
t
2.0ms
(*.f64 x y)
2.0ms
y
2.0ms
a
2.0ms
x
Results
AccuracySegmentsBranch
69.8%3x
60.3%3(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
65.9%4a
79.0%3(*.f64 x y)
72.3%3t
60.6%3(-.f64 (*.f64 x y) (*.f64 z t))
72.8%3z
75.6%3y
79.2%3(*.f64 z t)
Compiler

Compiled 27 to 54 computations (-100% saved)

regimes4.0ms (0%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 y a) x))
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
Outputs
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
(/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a)
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))
Calls

2 calls:

2.0ms
(*.f64 x y)
2.0ms
(*.f64 z t)
Results
AccuracySegmentsBranch
77.4%3(*.f64 x y)
78.5%3(*.f64 z t)
Compiler

Compiled 6 to 12 computations (-100% saved)

regimes24.0ms (0.3%)

Memory
12.3MiB live, 50.5MiB allocated
Accuracy

Total -3.4b remaining (-11.1%)

Threshold costs -3.4b (-11.1%)

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

9 calls:

11.0ms
(*.f64 x y)
2.0ms
y
2.0ms
a
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
52.9%1(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
52.9%1(-.f64 (*.f64 x y) (*.f64 z t))
52.9%1a
52.9%1x
52.9%1t
52.9%1z
52.9%1y
52.9%1(*.f64 x y)
52.9%1(*.f64 z t)
Compiler

Compiled 27 to 54 computations (-100% saved)

bsearch23.0ms (0.3%)

Memory
-3.5MiB live, 33.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
22.0ms
1.0433679485730595e-8
1.8295898335090254e-6
Samples
18.0ms112×0valid
Compiler

Compiled 152 to 164 computations (-7.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 12.0ms (84.1% of total)
ival-mult: 2.0ms (14% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.677357571605867e+261
5.6479988108734176e+284
0.0ms
-inf
-4.285317715610739e+282
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.677357571605867e+261
5.6479988108734176e+284
0.0ms
-inf
-4.285317715610739e+282
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1530073219190738200.0
3.4431155798884164e+23
0.0ms
-4.207270524196633e-62
-1.6579275087649662e-62
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1530073219190738200.0
3.4431155798884164e+23
0.0ms
-4.207270524196633e-62
-1.6579275087649662e-62
Compiler

Compiled 12 to 17 computations (-41.7% saved)

simplify141.0ms (1.7%)

Memory
-33.2MiB live, 159.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056214
194214
2144214
3203214
4277214
5332214
6358214
7363214
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 a #s(literal 2833419889721787/37778931862957161709568 binary64)) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) (fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a))))
(if (<=.f64 (*.f64 z t) #s(literal -inf.0 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) (if (<=.f64 (*.f64 z t) #s(literal 10000000000000000161728392950095834780961727121532468109675577629605415353003578843613352249644053642881905330331839631511632172467492917395324154002545647584434349098564602595580939232492998880708913562707066468760361494711018313643605437535869015444666630275072 binary64)) (/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))))
(if (<=.f64 (*.f64 z t) #s(literal -inf.0 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) (if (<=.f64 (*.f64 z t) #s(literal 10000000000000000161728392950095834780961727121532468109675577629605415353003578843613352249644053642881905330331839631511632172467492917395324154002545647584434349098564602595580939232492998880708913562707066468760361494711018313643605437535869015444666630275072 binary64)) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))))
(if (<=.f64 (*.f64 z t) #s(literal -578960446186581/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) (if (<=.f64 (*.f64 z t) #s(literal 2000000000000000000 binary64)) (/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))))
(if (<=.f64 (*.f64 z t) #s(literal -578960446186581/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) (if (<=.f64 (*.f64 z t) #s(literal 2000000000000000000 binary64)) (/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))
Outputs
(if (<=.f64 a #s(literal 2833419889721787/37778931862957161709568 binary64)) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) (fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a))))
(if (<=.f64 (*.f64 z t) #s(literal -inf.0 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) (if (<=.f64 (*.f64 z t) #s(literal 10000000000000000161728392950095834780961727121532468109675577629605415353003578843613352249644053642881905330331839631511632172467492917395324154002545647584434349098564602595580939232492998880708913562707066468760361494711018313643605437535869015444666630275072 binary64)) (/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))))
(if (or (<=.f64 (*.f64 z t) #s(literal -inf.0 binary64)) (not (<=.f64 (*.f64 z t) #s(literal 10000000000000000161728392950095834780961727121532468109675577629605415353003578843613352249644053642881905330331839631511632172467492917395324154002545647584434349098564602595580939232492998880708913562707066468760361494711018313643605437535869015444666630275072 binary64)))) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) (/.f64 (fma.f64 y x (*.f64 (neg.f64 z) t)) a))
(if (<=.f64 (*.f64 z t) #s(literal -inf.0 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) (if (<=.f64 (*.f64 z t) #s(literal 10000000000000000161728392950095834780961727121532468109675577629605415353003578843613352249644053642881905330331839631511632172467492917395324154002545647584434349098564602595580939232492998880708913562707066468760361494711018313643605437535869015444666630275072 binary64)) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))))
(if (or (<=.f64 (*.f64 z t) #s(literal -inf.0 binary64)) (not (<=.f64 (*.f64 z t) #s(literal 10000000000000000161728392950095834780961727121532468109675577629605415353003578843613352249644053642881905330331839631511632172467492917395324154002545647584434349098564602595580939232492998880708913562707066468760361494711018313643605437535869015444666630275072 binary64)))) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a))
(if (<=.f64 (*.f64 z t) #s(literal -578960446186581/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) (if (<=.f64 (*.f64 z t) #s(literal 2000000000000000000 binary64)) (/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t))))
(if (<=.f64 (*.f64 z t) #s(literal -578960446186581/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) (if (<=.f64 (*.f64 z t) #s(literal 2000000000000000000 binary64)) (/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a)))))
(if (or (<=.f64 (*.f64 z t) #s(literal -578960446186581/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (not (<=.f64 (*.f64 z t) #s(literal 2000000000000000000 binary64)))) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) (/.f64 #s(approx (+ (* y x) (* (neg z) t)) (*.f64 x y)) a))
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y))

soundness1.9s (22.8%)

Memory
46.2MiB live, 760.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088219
1313189
21107189
34520189
46980189
08604189
0103237
1380237
21315237
35191237
47756237
08058237
0922
01322
13722
224522
3237622
0859222
026118
042116
1131116
2779116
08844109
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 351 to 184 computations (47.6% saved)

preprocess94.0ms (1.1%)

Memory
1.9MiB live, 182.5MiB allocated
Remove

(sort z t)

(sort x y)

(negabs a)

Compiler

Compiled 756 to 316 computations (58.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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