Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, B

Time bar (total: 4.3s)

analyze163.0ms (3.8%)

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
25%25%74.9%0.2%0%0%0%5
25%25%74.9%0.2%0%0%0%6
25%25%74.9%0.2%0%0%0%7
37.5%37.4%62.4%0.2%0%0%0%8
56.3%56.1%43.7%0.2%0%0%0%9
56.3%56.1%43.7%0.2%0%0%0%10
56.3%56.1%43.7%0.2%0%0%0%11
65.6%65.5%34.3%0.2%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 29.0ms (57% of total)
ival-div: 20.0ms (39.3% of total)
const: 1.0ms (2% of total)
backward-pass: 1.0ms (2% of total)

sample1.1s (25.1%)

Results
809.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 478.0ms
ival-mult: 290.0ms (60.6% of total)
ival-div: 179.0ms (37.4% of total)
const: 7.0ms (1.5% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess445.0ms (10.3%)

Algorithm
egg-herbie
Rules
5272×/-lowering-/.f32
5272×/-lowering-/.f64
4940×*-lowering-*.f32
4940×*-lowering-*.f64
2380×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051139
116183
247579
3174279
4463879
089
1167
2395
3835
43135
59825
624835
728015
829845
930595
1031105
1131645
1258615
1360145
1464425
1569245
1676025
081085
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(* x (/ (* (/ y z) t) t))
Outputs
(* x (/ (* (/ y z) t) t))
(/.f64 (*.f64 x y) z)
Call 2
Inputs
(* x (/ (* (/ y z) t) t))
(* (neg x) (/ (* (/ y z) t) t))
(* x (/ (* (/ (neg y) z) t) t))
(* x (/ (* (/ y (neg z)) t) t))
(* x (/ (* (/ y z) (neg t)) (neg t)))
(neg (* (neg x) (/ (* (/ y z) t) t)))
(neg (* x (/ (* (/ (neg y) z) t) t)))
(neg (* x (/ (* (/ y (neg z)) t) t)))
(neg (* x (/ (* (/ y z) (neg t)) (neg t))))
(* y (/ (* (/ x z) t) t))
(* z (/ (* (/ y x) t) t))
(* t (/ (* (/ y z) x) x))
(* x (/ (* (/ z y) t) t))
(* x (/ (* (/ t z) y) y))
(* x (/ (* (/ y t) z) z))
Outputs
(* x (/ (* (/ y z) t) t))
(* y (/ x z))
(* (neg x) (/ (* (/ y z) t) t))
(* y (/ x (neg z)))
(* x (/ (* (/ (neg y) z) t) t))
(* y (/ x (neg z)))
(* x (/ (* (/ y (neg z)) t) t))
(* y (/ x (neg z)))
(* x (/ (* (/ y z) (neg t)) (neg t)))
(* y (/ x z))
(neg (* (neg x) (/ (* (/ y z) t) t)))
(* y (/ x z))
(neg (* x (/ (* (/ (neg y) z) t) t)))
(* y (/ x z))
(neg (* x (/ (* (/ y (neg z)) t) t)))
(* y (/ x z))
(neg (* x (/ (* (/ y z) (neg t)) (neg t))))
(* y (/ x (neg z)))
(* y (/ (* (/ x z) t) t))
(* y (/ x z))
(* z (/ (* (/ y x) t) t))
(* z (/ y x))
(* t (/ (* (/ y z) x) x))
(/ (* y t) z)
(* x (/ (* (/ z y) t) t))
(* x (/ z y))
(* x (/ (* (/ t z) y) y))
(* x (/ t z))
(* x (/ (* (/ y t) z) z))
(* x (/ y t))
Symmetry

(abs t)

(negabs x)

(negabs y)

(negabs z)

(sort x y)

explain72.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
470-1(2.5897726702717866e-30 810082966803.9753 5.118915583471475e+238 7.98147864068836e-84)(/.f64 (*.f64 (/.f64 y z) t) t)
280-0-(*.f64 (/.f64 y z) t)
240-0-(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
00-0-x
00-0-(/.f64 y z)
00-0-z
00-0-t
00-0-y
Results
47.0ms512×0valid
Compiler

Compiled 79 to 26 computations (67.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 8.0ms (47.8% of total)
ival-mult: 8.0ms (47.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune22.0ms (0.5%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
93.3%
(/.f64 (*.f64 x y) z)
80.6%
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify451.0ms (10.4%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) z)
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) t)
cost-diff256
(/.f64 (*.f64 (/.f64 y z) t) t)
cost-diff256
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
Rules
5272×/-lowering-/.f32
5272×/-lowering-/.f64
4940×*-lowering-*.f32
4940×*-lowering-*.f64
2380×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01047
12039
24531
39231
432231
5100031
6250231
7282031
8300331
9307831
10312931
11318331
12589531
13604831
14648531
15697131
16764031
0814831
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (/ (* (/ y z) t) t))
x
(/ (* (/ y z) t) t)
(* (/ y z) t)
(/ y z)
y
z
t
(/ (* x y) z)
(* x y)
x
y
z
Outputs
(* x (/ (* (/ y z) t) t))
(/.f64 (*.f64 x y) z)
x
(/ (* (/ y z) t) t)
(/.f64 y z)
(* (/ y z) t)
(/.f64 (*.f64 y t) z)
(/ y z)
(/.f64 y z)
y
z
t
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
x
y
z

localize41.0ms (1%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy93.3%
(/.f64 (*.f64 x y) z)
accuracy100.0%
(/.f64 y z)
accuracy91.0%
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
accuracy89.8%
(*.f64 (/.f64 y z) t)
accuracy82.9%
(/.f64 (*.f64 (/.f64 y z) t) t)
Results
31.0ms256×0valid
Compiler

Compiled 44 to 11 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 8.0ms (58.3% of total)
ival-mult: 6.0ms (43.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.3%)

Counts
6 → 204
Calls
Call 1
Inputs
#<alt (* x (/ (* (/ y z) t) t))>
#<alt (/ (* (/ y z) t) t)>
#<alt (* (/ y z) t)>
#<alt (/ y z)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

51 calls:

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

rewrite241.0ms (5.6%)

Algorithm
batch-egg-rewrite
Rules
2652×*-lowering-*.f32
2652×*-lowering-*.f64
2094×/-lowering-/.f32
2094×/-lowering-/.f64
1054×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
14024
223424
3170124
4667424
0812124
Stop Event
iter limit
node limit
Counts
6 → 496
Calls
Call 1
Inputs
(* x (/ (* (/ y z) t) t))
(/ (* (/ y z) t) t)
(* (/ y z) t)
(/ y z)
(/ (* x y) z)
(* x y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 0 binary64)) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) t)) #s(literal 0 binary64)) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z))) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) t))) (/.f64 x (/.f64 z y)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 z (*.f64 x y)))))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(neg.f64 (/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))) #s(literal 1 binary64)))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z t) (*.f64 x (*.f64 y t))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z t)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) (*.f64 t (/.f64 x t))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 y t) (/.f64 x t))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y t)) (/.f64 x t))))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 x (*.f64 y t)) t)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z (*.f64 x (*.f64 y t))))
(/.f64 (/.f64 x (/.f64 z (*.f64 y t))) t)
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (*.f64 y t)))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))) #s(literal -1 binary64))
(/.f64 (*.f64 x t) (/.f64 (*.f64 z t) y))
(/.f64 (/.f64 x t) (/.f64 z (*.f64 y t)))
(/.f64 (*.f64 x (*.f64 y t)) (*.f64 z t))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y t))) (-.f64 #s(literal 0 binary64) (*.f64 z t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x t)) (/.f64 t (/.f64 y (-.f64 #s(literal 0 binary64) z))))
(/.f64 (*.f64 t (/.f64 x t)) (/.f64 z y))
(/.f64 (*.f64 (*.f64 y t) (/.f64 x t)) z)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y t)) (/.f64 x t)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (*.f64 x (*.f64 y t)) t) z)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 y t))))
(/.f64 (/.f64 x (/.f64 (*.f64 z t) y)) (/.f64 #s(literal 1 binary64) t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x y))) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (-.f64 #s(literal 0 binary64) y)))) (*.f64 (-.f64 #s(literal 0 binary64) z) z))
(/.f64 (neg.f64 (*.f64 t (/.f64 x t))) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y t)) (/.f64 x t))) z)
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 y t)) t)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y)))) (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))))) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) y)) (-.f64 #s(literal 0 binary64) z)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) y)))
(pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 z (*.f64 x y)) (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64))
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(*.f64 (/.f64 y (*.f64 z t)) (*.f64 x t))
(*.f64 (/.f64 x z) y)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y t))) (/.f64 #s(literal -1 binary64) (*.f64 z t)))
(*.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 x t) (/.f64 t z)) y)
(*.f64 (*.f64 t (/.f64 x t)) (/.f64 y z))
(*.f64 (*.f64 (/.f64 y z) (/.f64 x t)) t)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x t)) (*.f64 y t))
(*.f64 (*.f64 (*.f64 y t) (/.f64 x t)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y t)) (/.f64 x t)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (*.f64 x (*.f64 y t)) t) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) t)) (/.f64 t (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(*.f64 (/.f64 x (/.f64 (*.f64 z t) y)) t)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 0 binary64) z)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 z (*.f64 y t)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) t))
(*.f64 (pow.f64 (/.f64 t (*.f64 x (*.f64 y t))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) #s(literal -1 binary64)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x y))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (*.f64 (*.f64 x y) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 x y))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 (*.f64 x y) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y))))))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))

simplify22.0ms (0.5%)

Algorithm
egg-herbie
Rules
24×*-lowering-*.f32
24×*-lowering-*.f64
12×*-commutative
10×/-lowering-/.f32
10×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09852
113852
219852
321852
021852
Stop Event
iter limit
saturated
Counts
204 → 204
Calls
Call 1
Inputs
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
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(/ y z)
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(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval78.0ms (1.8%)

Compiler

Compiled 7671 to 1047 computations (86.4% saved)

prune112.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New6955700
Fresh000
Picked112
Done000
Total6966702
Accuracy
100.0%
Counts
702 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.3%
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
93.3%
(/.f64 (*.f64 x y) z)
89.8%
(/.f64 y (/.f64 z x))
91.2%
(/.f64 x (/.f64 z y))
91.0%
(*.f64 (/.f64 y z) x)
90.1%
(*.f64 (/.f64 x z) y)
Compiler

Compiled 103 to 70 computations (32% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z x)
cost-diff0
(/.f64 y (/.f64 z x))
cost-diff0
(/.f64 z y)
cost-diff0
(/.f64 x (/.f64 z y))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) y))
cost-diff128
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
Rules
40×*-lowering-*.f32
40×*-lowering-*.f64
38×/-lowering-/.f32
38×/-lowering-/.f64
14×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01564
12858
23358
35058
46258
56958
67158
77258
07258
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (/ x (/ 1 y)) z)
(/ x (/ 1 y))
x
(/ 1 y)
1
y
z
(* (/ x z) y)
(/ x z)
x
z
y
(* (/ y z) x)
(/ y z)
y
z
x
(/ x (/ z y))
x
(/ z y)
z
y
(/ y (/ z x))
y
(/ z x)
z
x
Outputs
(/ (/ x (/ 1 y)) z)
(/.f64 x (/.f64 z y))
(/ x (/ 1 y))
(*.f64 x y)
x
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
z
(* (/ x z) y)
(/.f64 x (/.f64 z y))
(/ x z)
(/.f64 x z)
x
z
y
(* (/ y z) x)
(/.f64 x (/.f64 z y))
(/ y z)
(/.f64 y z)
y
z
x
(/ x (/ z y))
(/.f64 x (/.f64 z y))
x
(/ z y)
(/.f64 z y)
z
y
(/ y (/ z x))
(/.f64 x (/.f64 z y))
y
(/ z x)
(/.f64 z x)
z
x

localize158.0ms (3.7%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 z x)
accuracy89.8%
(/.f64 y (/.f64 z x))
accuracy100.0%
(/.f64 z y)
accuracy91.2%
(/.f64 x (/.f64 z y))
accuracy100.0%
(/.f64 y z)
accuracy91.0%
(*.f64 (/.f64 y z) x)
accuracy100.0%
(/.f64 x z)
accuracy90.1%
(*.f64 (/.f64 x z) y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.8%
(/.f64 x (/.f64 #s(literal 1 binary64) y))
accuracy93.3%
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
Results
46.0ms256×0valid
Compiler

Compiled 68 to 17 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 15.0ms (78.5% of total)
ival-mult: 4.0ms (20.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.2%)

Counts
11 → 312
Calls
Call 1
Inputs
#<alt (/ (/ x (/ 1 y)) z)>
#<alt (/ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (* (/ x z) y)>
#<alt (/ x z)>
#<alt (* (/ y z) x)>
#<alt (/ y z)>
#<alt (/ x (/ z y))>
#<alt (/ z y)>
#<alt (/ y (/ z x))>
#<alt (/ z x)>
Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
Calls

78 calls:

TimeVariablePointExpression
0.0ms
z
@-inf
(/ z y)
0.0ms
z
@-inf
(/ z x)
0.0ms
z
@0
(/ z y)
0.0ms
z
@0
(/ z x)
0.0ms
y
@0
(/ z y)

rewrite327.0ms (7.6%)

Algorithm
batch-egg-rewrite
Rules
2168×*-lowering-*.f32
2168×*-lowering-*.f64
1514×/-lowering-/.f32
1514×/-lowering-/.f64
1488×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01543
16942
235142
3179442
4642542
0892442
Stop Event
iter limit
node limit
Counts
11 → 792
Calls
Call 1
Inputs
(/ (/ x (/ 1 y)) z)
(/ x (/ 1 y))
(/ 1 y)
(* (/ x z) y)
(/ x z)
(* (/ y z) x)
(/ y z)
(/ x (/ z y))
(/ z y)
(/ y (/ z x))
(/ z x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 0 binary64)) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 0 binary64)) (/.f64 x (/.f64 z y)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 z (*.f64 x y)))))
(exp.f64 (+.f64 (log.f64 y) (log.f64 (/.f64 x z))))
(exp.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 #s(literal -1 binary64) (log.f64 z))))
(exp.f64 (+.f64 (log.f64 (/.f64 x z)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))))
(exp.f64 (-.f64 (log.f64 y) (log.f64 (/.f64 z x))))
(exp.f64 (-.f64 (log.f64 (/.f64 x z)) (-.f64 #s(literal 0 binary64) (log.f64 y))))
(exp.f64 (-.f64 (log.f64 (/.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(/.f64 x (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y (/.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))) z) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y (/.f64 #s(literal -1 binary64) x)))) (-.f64 #s(literal 0 binary64) z)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z (/.f64 y (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))) (/.f64 z x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y (/.f64 #s(literal -1 binary64) x)))) (-.f64 #s(literal 0 binary64) (/.f64 z x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 z (/.f64 y (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))) (/.f64 z y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y (/.f64 #s(literal -1 binary64) x)))) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 z (/.f64 y (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x)) (/.f64 (/.f64 z y) (/.f64 y z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) (/.f64 z x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 x z))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 y z))) (/.f64 z (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 #s(literal -1 binary64) (/.f64 z y)))) (/.f64 z (/.f64 y (/.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) y)) (/.f64 (/.f64 z x) (/.f64 x z)))
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(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))) #s(literal -1 binary64))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y z))) (/.f64 z x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y))) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x)))) (*.f64 (-.f64 #s(literal 0 binary64) z) z))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) (/.f64 z y)))) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (neg.f64 (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
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(pow.f64 (*.f64 (/.f64 z (*.f64 x y)) (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64))
(*.f64 x (/.f64 y z))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z y)))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 z y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))) #s(literal -1 binary64))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 y) (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 z x) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (sqrt.f64 y))
(+.f64 (/.f64 z x) #s(literal 0 binary64))
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(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 z x))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 z x)
(/.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) (/.f64 x z))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 x z))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) (/.f64 x z))) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 z x) (/.f64 x z))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 z x) (/.f64 x z)))
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(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x z) (/.f64 x z)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) z))
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (pow.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) #s(literal 1 binary64)))

simplify47.0ms (1.1%)

Algorithm
egg-herbie
Rules
12×/-lowering-/.f32
12×/-lowering-/.f64
12×*-lowering-*.f32
12×*-lowering-*.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111284
1161284
2181284
3191284
0191284
Stop Event
iter limit
saturated
Counts
312 → 312
Calls
Call 1
Inputs
(/ (* x y) z)
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(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
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(/ (* x y) z)
(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
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(/ z x)
(/ z x)
(/ z x)
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(/ z x)
(/ z x)
(/ z x)
Outputs
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(*.f64 y (/.f64 x z))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
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(* x y)
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(* x y)
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(* x y)
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(* x y)
(*.f64 x y)
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(* x y)
(*.f64 x y)
(* x y)
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(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
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(/ 1 y)
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(/ 1 y)
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(/ 1 y)
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(/ 1 y)
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(/ 1 y)
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(/ 1 y)
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(/ 1 y)
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(/ 1 y)
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(/ (* x y) z)
(*.f64 y (/.f64 x z))
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(/ z y)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ z x)
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eval117.0ms (2.7%)

Compiler

Compiled 12166 to 1094 computations (91% saved)

prune59.0ms (1.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New110401104
Fresh000
Picked055
Done011
Total110461110
Accuracy
100.0%
Counts
1110 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.3%
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
93.3%
(/.f64 (*.f64 x y) z)
89.8%
(/.f64 y (/.f64 z x))
91.2%
(/.f64 x (/.f64 z y))
91.0%
(*.f64 (/.f64 y z) x)
90.1%
(*.f64 (/.f64 x z) y)
Compiler

Compiled 101 to 59 computations (41.6% saved)

regimes25.0ms (0.6%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
Outputs
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
Calls

7 calls:

7.0ms
(/.f64 (*.f64 (/.f64 y z) t) t)
3.0ms
t
3.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
96.2%2x
96.8%2y
99.8%2z
94.9%2t
99.4%2(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
99.4%2(/.f64 (*.f64 (/.f64 y z) t) t)
99.8%2(/.f64 y z)
Compiler

Compiled 51 to 36 computations (29.4% saved)

regimes4.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
Outputs
(*.f64 (/.f64 x z) y)
(/.f64 x (/.f64 z y))
Calls

2 calls:

2.0ms
z
2.0ms
(/.f64 y z)
Results
AccuracySegmentsBranch
99.8%2z
99.7%2(/.f64 y z)
Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.3%)

Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
Outputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
Calls

2 calls:

10.0ms
z
2.0ms
(/.f64 y z)
Results
AccuracySegmentsBranch
99.7%2(/.f64 y z)
99.7%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
Outputs
(*.f64 (/.f64 x z) y)
Calls

4 calls:

1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
t
Results
AccuracySegmentsBranch
90.1%1t
90.1%1x
90.1%1y
90.1%1z
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.324394921036099e+301
1.6285441694710974e+303
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch22.0ms (0.5%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
21.0ms
6.575863312871843e-23
1.3397476040553901e-20
Results
17.0ms112×0valid
Compiler

Compiled 160 to 112 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 12.0ms (87.7% of total)
ival-mult: 2.0ms (14.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch2.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
1.402501559661578e-32
3.9830096105464734e-30
Results
1.0ms16×0valid
Compiler

Compiled 40 to 28 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02049
12249
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 y z) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x)))
(if (<=.f64 z #s(literal 7310753976817037/664613997892457936451903530140172288 binary64)) (*.f64 (/.f64 x z) y) (/.f64 x (/.f64 z y)))
(if (<=.f64 z #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)
Outputs
(if (<=.f64 (/.f64 y z) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x)))
(if (<=.f64 z #s(literal 7310753976817037/664613997892457936451903530140172288 binary64)) (*.f64 (/.f64 x z) y) (/.f64 x (/.f64 z y)))
(if (<=.f64 z #s(literal 7310753976817037/664613997892457936451903530140172288 binary64)) (*.f64 y (/.f64 x z)) (/.f64 x (/.f64 z y)))
(if (<=.f64 z #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x))
(if (<=.f64 z #s(literal 7307508186654515/365375409332725729550921208179070754913983135744 binary64)) (*.f64 y (/.f64 x z)) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))

soundness344.0ms (8%)

Rules
2652×*-lowering-*.f32
2652×*-lowering-*.f64
2094×/-lowering-/.f32
2094×/-lowering-/.f64
1054×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
14024
223424
3170124
4667424
0812124
Stop Event
done
iter limit
node limit
Compiler

Compiled 116 to 63 computations (45.7% saved)

preprocess430.0ms (9.9%)

Remove

(abs t)

Compiler

Compiled 990 to 538 computations (45.7% saved)

end0.0ms (0%)

Profiling

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