Kahan p13 Example 1

Time bar (total: 6.9s)

analyze2.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 37 to 11 computations (70.3% saved)

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

sample952.0ms (13.9%)

Results
617.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 403.0ms
ival-add: 149.0ms (37% of total)
ival-mult: 124.0ms (30.8% of total)
ival-div: 113.0ms (28% of total)
const: 13.0ms (3.2% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess235.0ms (3.4%)

Algorithm
2×egg-herbie
Rules
2430×fma-define
2394×*-lowering-*.f32
2394×*-lowering-*.f64
1638×fma-lowering-fma.f32
1638×fma-lowering-fma.f64
Iterations

Useful iterations: 12 (0.0ms)

IterNodesCost
019114
15298
214287
353587
4214487
5529987
01035
12231
25029
312629
422929
530929
653529
775227
896027
9106627
10126127
11189327
12329226
13509726
14754926
15798026
0802526
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
Outputs
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 t (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))))
Call 2
Inputs
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
(/ (+ 1 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))) (+ 2 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))))
(neg (/ (+ 1 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))) (+ 2 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t)))))))
Outputs
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
(/ (fma (* t t) (/ 4 (sum4 1 t t (* t t))) 1) (fma (* t 4) (/ t (sum4 1 t t (* t t))) 2))
(/ (+ 1 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))) (+ 2 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))))
(/ (fnmsub t (* (/ t (+ t -1)) (/ 4 (- 1 t))) -1) (fnmsub (/ t (+ t -1)) (* t (/ 4 (- 1 t))) -2))
(neg (/ (+ 1 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))) (+ 2 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t)))))))
(/ (fnmsub (/ t (+ t -1)) (* t (/ 4 (+ t -1))) 1) (fnmsub (/ t (+ t -1)) (* t (/ 4 (- 1 t))) -2))

explain182.0ms (2.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 #s(literal 2 binary64) t)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
00-0-(+.f64 #s(literal 1 binary64) t)
00-0-#s(literal 2 binary64)
00-0-(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
00-0-(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
00-0-(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
00-0-t
00-0-#s(literal 1 binary64)
00-0-(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
Results
57.0ms512×0valid
Compiler

Compiled 240 to 32 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 7.0ms (31.5% of total)
ival-add: 7.0ms (31.5% of total)
ival-mult: 7.0ms (31.5% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 30 to 17 computations (43.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
▶76.6%
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 t (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))))
Compiler

Compiled 66 to 27 computations (59.1% saved)

simplify162.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
✓cost-diff128
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
✓cost-diff256
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
✓cost-diff0
(*.f64 t t)
✓cost-diff0
(/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t))))
✓cost-diff0
(/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 t (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 t (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))))
Rules
2830×*-lowering-*.f32
2830×*-lowering-*.f64
2328×sum4-define
2174×+-lowering-+.f64
2174×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022237
151220
2126215
3293215
4945215
55661215
08557215
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1/2 (/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (/ (* (* 2 t) (/ t (+ 1 t))) (+ 1 t)))))
1/2
(/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (/ (* (* 2 t) (/ t (+ 1 t))) (+ 1 t))))
(/ (* t t) (+ 1 (* t (+ 2 t))))
(* t t)
t
(+ 1 (* t (+ 2 t)))
1
(* t (+ 2 t))
(+ 2 t)
2
(+ 1 (/ (* (* 2 t) (/ t (+ 1 t))) (+ 1 t)))
(/ (* (* 2 t) (/ t (+ 1 t))) (+ 1 t))
(* (* 2 t) (/ t (+ 1 t)))
(* 2 t)
(/ t (+ 1 t))
(+ 1 t)
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
1
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
(/ (* 2 t) (+ 1 t))
(* 2 t)
2
t
(+ 1 t)
(+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
Outputs
(+ 1/2 (/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (/ (* (* 2 t) (/ t (+ 1 t))) (+ 1 t)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal 2 binary64) (+.f64 t #s(literal 1 binary64)))) (+.f64 t #s(literal 1 binary64)))))))
1/2
#s(literal 1/2 binary64)
(/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (/ (* (* 2 t) (/ t (+ 1 t))) (+ 1 t))))
(/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal 2 binary64) (+.f64 t #s(literal 1 binary64)))) (+.f64 t #s(literal 1 binary64))))))
(/ (* t t) (+ 1 (* t (+ 2 t))))
(/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64)))))
(* t t)
(*.f64 t t)
t
(+ 1 (* t (+ 2 t)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(* t (+ 2 t))
(*.f64 t (+.f64 t #s(literal 2 binary64)))
(+ 2 t)
(+.f64 t #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1 (/ (* (* 2 t) (/ t (+ 1 t))) (+ 1 t)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal 2 binary64) (+.f64 t #s(literal 1 binary64)))) (+.f64 t #s(literal 1 binary64))))
(/ (* (* 2 t) (/ t (+ 1 t))) (+ 1 t))
(/.f64 (*.f64 (*.f64 t t) (/.f64 #s(literal 2 binary64) (+.f64 t #s(literal 1 binary64)))) (+.f64 t #s(literal 1 binary64)))
(* (* 2 t) (/ t (+ 1 t)))
(*.f64 (*.f64 t t) (/.f64 #s(literal 2 binary64) (+.f64 t #s(literal 1 binary64))))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(/ t (+ 1 t))
(/.f64 t (+.f64 t #s(literal 1 binary64)))
(+ 1 t)
(+.f64 t #s(literal 1 binary64))
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))))
(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))
1
#s(literal 1 binary64)
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
(/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))
(/ (* 2 t) (+ 1 t))
(/.f64 (*.f64 t #s(literal 2 binary64)) (+.f64 t #s(literal 1 binary64)))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
2
#s(literal 2 binary64)
t
(+ 1 t)
(+.f64 t #s(literal 1 binary64))
(+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))

localize92.0ms (1.3%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) t)
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
✓accuracy100.0%
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
✓accuracy100.0%
(*.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 t (+.f64 #s(literal 1 binary64) t)))
✓accuracy100.0%
(*.f64 t (+.f64 #s(literal 2 binary64) t))
✓accuracy99.3%
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 t (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))))
✓accuracy77.6%
(/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t))))
Results
53.0ms256×0valid
Compiler

Compiled 239 to 23 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 10.0ms (35% of total)
ival-div: 9.0ms (31.5% of total)
ival-add: 9.0ms (31.5% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (+ 1/2 (/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (/ (* (* 2 t) (/ t (+ 1 t))) (+ 1 t)))))>
#<alt (/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (/ (* (* 2 t) (/ t (+ 1 t))) (+ 1 t))))>
#<alt (/ (* t t) (+ 1 (* t (+ 2 t))))>
#<alt (* t t)>
#<alt (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))>
#<alt (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))>
#<alt (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))>
#<alt (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))>
#<alt (* t (+ 2 t))>
#<alt (* (* 2 t) (/ t (+ 1 t)))>
#<alt (/ (* 2 t) (+ 1 t))>
#<alt (* 2 t)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* t (- t 2))))>
#<alt (* (pow t 2) (+ 1 (* t (- (* t (+ 1 (* 4 t))) 2))))>
#<alt 1/3>
#<alt (- 1/3 (* 2/9 (/ 1 t)))>
#<alt (- (+ 1/3 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt (- (+ 1/3 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))>
#<alt 1/3>
#<alt (- 1/3 (* 2/9 (/ 1 t)))>
#<alt (+ 1/3 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (+ 1/3 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* t (- (* 3 t) 2))))>
#<alt (* (pow t 2) (+ 1 (* t (- (* t (+ 3 (* -4 t))) 2))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 t)))>
#<alt (- (+ 1 (/ 3 (pow t 2))) (* 2 (/ 1 t)))>
#<alt (- (+ 1 (/ 3 (pow t 2))) (+ (* 2 (/ 1 t)) (* 4 (/ 1 (pow t 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 t)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 t))) t)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 t))) t))) t)))>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))>
#<alt 1>
#<alt (+ 1 (* 4 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 4 (* -8 t))))>
#<alt (+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))>
#<alt 5>
#<alt (- 5 (* 8 (/ 1 t)))>
#<alt (- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t)))>
#<alt (- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))>
#<alt 5>
#<alt (- 5 (* 8 (/ 1 t)))>
#<alt (+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))>
#<alt (+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))>
#<alt (* 4 (pow t 2))>
#<alt (* (pow t 2) (+ 4 (* -8 t)))>
#<alt (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))>
#<alt (* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8))))>
#<alt 4>
#<alt (- 4 (* 8 (/ 1 t)))>
#<alt (- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t)))>
#<alt (- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))>
#<alt 4>
#<alt (- 4 (* 8 (/ 1 t)))>
#<alt (+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))>
#<alt (+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))>
#<alt 2>
#<alt (+ 2 (* 4 (pow t 2)))>
#<alt (+ 2 (* (pow t 2) (+ 4 (* -8 t))))>
#<alt (+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))>
#<alt 6>
#<alt (- 6 (* 8 (/ 1 t)))>
#<alt (- (+ 6 (/ 12 (pow t 2))) (* 8 (/ 1 t)))>
#<alt (- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))>
#<alt 6>
#<alt (- 6 (* 8 (/ 1 t)))>
#<alt (+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))>
#<alt (+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))>
#<alt (* 2 t)>
#<alt (* t (+ 2 t))>
#<alt (* t (+ 2 t))>
#<alt (* t (+ 2 t))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (+ 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (+ 1 (* 2 (/ 1 t))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (+ 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (+ 1 (* 2 (/ 1 t))))>
#<alt (* 2 (pow t 2))>
#<alt (* (pow t 2) (+ 2 (* -2 t)))>
#<alt (* (pow t 2) (+ 2 (* t (- (* 2 t) 2))))>
#<alt (* (pow t 2) (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))))>
#<alt (* 2 t)>
#<alt (* t (- 2 (* 2 (/ 1 t))))>
#<alt (* t (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* t (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))))>
#<alt (* 2 t)>
#<alt (* -1 (* t (- (* 2 (/ 1 t)) 2)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2)))>
#<alt (* -1 (* t (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 2)))>
#<alt (* 2 t)>
#<alt (* t (+ 2 (* -2 t)))>
#<alt (* t (+ 2 (* t (- (* 2 t) 2))))>
#<alt (* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 t)))>
#<alt (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t)))>
#<alt (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 t)))>
#<alt (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
Calls

36 calls:

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

rewrite587.0ms (8.5%)

Algorithm
1×batch-egg-rewrite
Rules
4070×/-lowering-/.f32
4070×/-lowering-/.f64
3852×*-lowering-*.f32
3852×*-lowering-*.f64
1778×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022148
1169139
21754134
08741134
Stop Event
1×iter limit
1×node limit
Counts
12 → 381
Calls
Call 1
Inputs
(+ 1/2 (/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (/ (* (* 2 t) (/ t (+ 1 t))) (+ 1 t)))))
(/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (/ (* (* 2 t) (/ t (+ 1 t))) (+ 1 t))))
(/ (* t t) (+ 1 (* t (+ 2 t))))
(* t t)
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
(+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
(* t (+ 2 t))
(* (* 2 t) (/ t (+ 1 t)))
(/ (* 2 t) (+ 1 t))
(* 2 t)
Outputs
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))))
(+.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))))) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))) (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))))))
(fma.f64 t (*.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))))) #s(literal 1/2 binary64))
(fma.f64 t (/.f64 t (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))))) #s(literal 1/2 binary64))
(fma.f64 t (/.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) (/.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 t (*.f64 t t))) (*.f64 (/.f64 t (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))) (*.f64 (/.f64 t (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))) (/.f64 t (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (+.f64 t #s(literal 1 binary64)) t) #s(literal 2 binary64)) (/.f64 t (+.f64 t #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 t (+.f64 t #s(literal 1 binary64))) (/.f64 t (+.f64 t #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal -2 binary64)) (/.f64 t (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))) (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64)))))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) (/.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))) (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))))) (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))) (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) (/.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))) (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))) (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) (/.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))) (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))))))) (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))) (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))) (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))) (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (+.f64 t #s(literal 1 binary64)) (+.f64 t #s(literal 1 binary64))))))))
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(*.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 t #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 t t))) (-.f64 #s(literal 1 binary64) t))
(*.f64 (pow.f64 (/.f64 t (+.f64 t #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) t) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 t #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)))
(*.f64 t #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) t)

simplify254.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
2520×*-lowering-*.f32
2520×*-lowering-*.f64
2480×fma-lowering-fma.f32
2480×fma-lowering-fma.f64
1926×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02071087
1663996
21850960
35261960
08241960
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(pow t 2)
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* t (- t 2))))
(* (pow t 2) (+ 1 (* t (- (* t (+ 1 (* 4 t))) 2))))
1/3
(- 1/3 (* 2/9 (/ 1 t)))
(- (+ 1/3 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 1/3 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
1/3
(- 1/3 (* 2/9 (/ 1 t)))
(+ 1/3 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 1/3 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(pow t 2)
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* t (- (* 3 t) 2))))
(* (pow t 2) (+ 1 (* t (- (* t (+ 3 (* -4 t))) 2))))
1
(- 1 (* 2 (/ 1 t)))
(- (+ 1 (/ 3 (pow t 2))) (* 2 (/ 1 t)))
(- (+ 1 (/ 3 (pow t 2))) (+ (* 2 (/ 1 t)) (* 4 (/ 1 (pow t 3)))))
1
(- 1 (* 2 (/ 1 t)))
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 t))) t)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 t))) t))) t)))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
1
(+ 1 (* 4 (pow t 2)))
(+ 1 (* (pow t 2) (+ 4 (* -8 t))))
(+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
5
(- 5 (* 8 (/ 1 t)))
(- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
5
(- 5 (* 8 (/ 1 t)))
(+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
(* 4 (pow t 2))
(* (pow t 2) (+ 4 (* -8 t)))
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8))))
4
(- 4 (* 8 (/ 1 t)))
(- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
4
(- 4 (* 8 (/ 1 t)))
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
2
(+ 2 (* 4 (pow t 2)))
(+ 2 (* (pow t 2) (+ 4 (* -8 t))))
(+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
6
(- 6 (* 8 (/ 1 t)))
(- (+ 6 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
6
(- 6 (* 8 (/ 1 t)))
(+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
(* 2 t)
(* t (+ 2 t))
(* t (+ 2 t))
(* t (+ 2 t))
(pow t 2)
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(pow t 2)
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(* 2 (pow t 2))
(* (pow t 2) (+ 2 (* -2 t)))
(* (pow t 2) (+ 2 (* t (- (* 2 t) 2))))
(* (pow t 2) (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))))
(* 2 t)
(* t (- 2 (* 2 (/ 1 t))))
(* t (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))))
(* t (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))))
(* 2 t)
(* -1 (* t (- (* 2 (/ 1 t)) 2)))
(* -1 (* t (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2)))
(* -1 (* t (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 2)))
(* 2 t)
(* t (+ 2 (* -2 t)))
(* t (+ 2 (* t (- (* 2 t) 2))))
(* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))))
2
(- 2 (* 2 (/ 1 t)))
(- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t)))
(- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))
2
(- 2 (* 2 (/ 1 t)))
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t (*.f64 t t))) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* -2 t)))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 2) (+ 1 (* t (- t 2))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
(* (pow t 2) (+ 1 (* t (- (* t (+ 1 (* 4 t))) 2))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))))
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (+ 1/3 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(- (+ 1/3 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+ 1/3 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+ 1/3 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* -2 t)))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 2) (+ 1 (* t (- (* 3 t) 2))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t #s(literal 3 binary64))))))
(* (pow t 2) (+ 1 (* t (- (* t (+ 3 (* -4 t))) 2))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 3 binary64) (*.f64 t #s(literal -4 binary64))))))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t))
(- (+ 1 (/ 3 (pow t 2))) (* 2 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) t)) t))
(- (+ 1 (/ 3 (pow t 2))) (+ (* 2 (/ 1 t)) (* 4 (/ 1 (pow t 3)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) t)) t)) (/.f64 #s(literal -4 binary64) (*.f64 t (*.f64 t t))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t))
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 t))) t)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) t)) t))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 t))) t))) t)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) t) #s(literal -3 binary64)) t)) t))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t (*.f64 t t))) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
1
#s(literal 1 binary64)
(+ 1 (* 4 (pow t 2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 4 binary64))))
(+ 1 (* (pow t 2) (+ 4 (* -8 t))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t #s(literal -8 binary64)))))
(+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal -8 binary64) (*.f64 t #s(literal 12 binary64)))))))
5
#s(literal 5 binary64)
(- 5 (* 8 (/ 1 t)))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t))
(- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
(+.f64 (+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)) (/.f64 #s(literal -16 binary64) (*.f64 t (*.f64 t t))))
5
#s(literal 5 binary64)
(- 5 (* 8 (/ 1 t)))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t))
(+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
(-.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) t) #s(literal -12 binary64)) t)) t))
(* 4 (pow t 2))
(*.f64 t (*.f64 t #s(literal 4 binary64)))
(* (pow t 2) (+ 4 (* -8 t)))
(*.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t #s(literal -8 binary64))))
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal -8 binary64) (*.f64 t #s(literal 12 binary64))))))
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8))))
(*.f64 t (*.f64 t (+.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal -8 binary64) (*.f64 t (+.f64 #s(literal 12 binary64) (*.f64 t #s(literal -16 binary64)))))))))
4
#s(literal 4 binary64)
(- 4 (* 8 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) t))
(- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
(+.f64 #s(literal 4 binary64) (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t) (/.f64 #s(literal -16 binary64) (*.f64 t (*.f64 t t)))))
4
#s(literal 4 binary64)
(- 4 (* 8 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) t))
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) t) #s(literal -12 binary64)) t)) t))
2
#s(literal 2 binary64)
(+ 2 (* 4 (pow t 2)))
(+.f64 #s(literal 2 binary64) (*.f64 t (*.f64 t #s(literal 4 binary64))))
(+ 2 (* (pow t 2) (+ 4 (* -8 t))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t #s(literal -8 binary64)))))
(+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal -8 binary64) (*.f64 t #s(literal 12 binary64)))))))
6
#s(literal 6 binary64)
(- 6 (* 8 (/ 1 t)))
(-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t))
(- (+ 6 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
(+.f64 #s(literal 6 binary64) (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t) (/.f64 #s(literal -16 binary64) (*.f64 t (*.f64 t t)))))
6
#s(literal 6 binary64)
(- 6 (* 8 (/ 1 t)))
(-.f64 #s(literal 6 binary64) (/.f64 #s(literal 8 binary64) t))
(+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
(-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) t) #s(literal -12 binary64)) t)) t))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* t (+ 2 t))
(*.f64 t (+.f64 t #s(literal 2 binary64)))
(* t (+ 2 t))
(*.f64 t (+.f64 t #s(literal 2 binary64)))
(* t (+ 2 t))
(*.f64 t (+.f64 t #s(literal 2 binary64)))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t))))
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t))))
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t))))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t))))
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t))))
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t))))
(* 2 (pow t 2))
(*.f64 t (*.f64 t #s(literal 2 binary64)))
(* (pow t 2) (+ 2 (* -2 t)))
(*.f64 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 2) (+ 2 (* t (- (* 2 t) 2))))
(*.f64 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t #s(literal 2 binary64)))))))
(* (pow t 2) (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -2 binary64))))))))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* t (- 2 (* 2 (/ 1 t))))
(*.f64 t (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)))
(* t (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))))
(*.f64 t (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)))
(* t (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))))
(*.f64 t (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)) t)))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* -1 (* t (- (* 2 (/ 1 t)) 2)))
(*.f64 t (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)))
(* -1 (* t (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2)))
(*.f64 t (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)))
(* -1 (* t (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 2)))
(*.f64 t (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)) t)))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* t (+ 2 (* -2 t)))
(*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -2 binary64))))
(* t (+ 2 (* t (- (* 2 t) 2))))
(*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t #s(literal 2 binary64))))))
(* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))))
(*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -2 binary64))))))))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 t)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t))
(- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t))
(- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)) t))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 t)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t))
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)) t))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))

eval123.0ms (1.8%)

Compiler

Compiled 31795 to 2218 computations (93% saved)

prune90.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New80511816
Fresh000
Picked202
Done000
Total80711818
Accuracy
100.0%
Counts
818 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.3%
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
52.1%
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
51.3%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
▶50.6%
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t)))
51.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
51.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))
▶51.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
▶52.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
58.0%
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
▶58.8%
#s(literal 5/6 binary64)
▶59.5%
#s(literal 1/2 binary64)
Compiler

Compiled 196 to 152 computations (22.4% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
✓cost-diff0
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
✓cost-diff0
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
✓cost-diff0
(/.f64 #s(literal -2/9 binary64) t)
✓cost-diff0
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t)))
✓cost-diff0
(*.f64 t t)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
Rules
116×fma-define
102×fma-lowering-fma.f32
102×fma-lowering-fma.f64
78×*-lowering-*.f32
78×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01768
13662
27762
315662
420862
521062
021062
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
1/2
5/6
(+ 1/2 (* t t))
1/2
(* t t)
t
(+ 1/2 (+ 1/3 (/ -2/9 t)))
1/2
(+ 1/3 (/ -2/9 t))
1/3
(/ -2/9 t)
-2/9
t
(+ 1/2 (* t (* t (+ 1 (* t -2)))))
1/2
(* t (* t (+ 1 (* t -2))))
t
(* t (+ 1 (* t -2)))
(+ 1 (* t -2))
1
(* t -2)
-2
Outputs
1/2
#s(literal 1/2 binary64)
5/6
#s(literal 5/6 binary64)
(+ 1/2 (* t t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
1/2
#s(literal 1/2 binary64)
(* t t)
(*.f64 t t)
t
(+ 1/2 (+ 1/3 (/ -2/9 t)))
(+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/3 (/ -2/9 t))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t))
1/3
#s(literal 1/3 binary64)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
-2/9
#s(literal -2/9 binary64)
t
(+ 1/2 (* t (* t (+ 1 (* t -2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* t (* t (+ 1 (* t -2))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
t
(* t (+ 1 (* t -2)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(+ 1 (* t -2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(* t -2)
(*.f64 t #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize72.0ms (1%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
✓accuracy100.0%
(*.f64 t #s(literal -2 binary64))
✓accuracy100.0%
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
✓accuracy99.9%
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓accuracy99.5%
(/.f64 #s(literal -2/9 binary64) t)
✓accuracy99.3%
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t)))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
✓accuracy100.0%
(*.f64 t t)
Results
49.0ms256×0valid
Compiler

Compiled 72 to 18 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
...c/correct-round.rkt:119:19: 10.0ms (36.9% of total)
ival-add: 7.0ms (25.9% of total)
ival-mult: 7.0ms (25.9% of total)
ival-div: 2.0ms (7.4% of total)
const: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
10 → 120
Calls
Call 1
Inputs
#<alt (+ 1/2 (* t t))>
#<alt (* t t)>
#<alt (+ 1/2 (+ 1/3 (/ -2/9 t)))>
#<alt (+ 1/3 (/ -2/9 t))>
#<alt (/ -2/9 t)>
#<alt (+ 1/2 (* t (* t (+ 1 (* t -2)))))>
#<alt (* t (* t (+ 1 (* t -2))))>
#<alt (* t (+ 1 (* t -2)))>
#<alt (+ 1 (* t -2))>
#<alt (* t -2)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (pow t 2))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (/ -2/9 t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (/ -2/9 t)>
#<alt (/ (- (* 1/3 t) 2/9) t)>
#<alt (/ (- (* 1/3 t) 2/9) t)>
#<alt (/ (- (* 1/3 t) 2/9) t)>
#<alt 1/3>
#<alt (- 1/3 (* 2/9 (/ 1 t)))>
#<alt (- 1/3 (* 2/9 (/ 1 t)))>
#<alt (- 1/3 (* 2/9 (/ 1 t)))>
#<alt 1/3>
#<alt (- 1/3 (* 2/9 (/ 1 t)))>
#<alt (- 1/3 (* 2/9 (/ 1 t)))>
#<alt (- 1/3 (* 2/9 (/ 1 t)))>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (* -2 (pow t 3))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))>
#<alt (* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))>
#<alt (* -2 (pow t 3))>
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))>
#<alt (* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))>
#<alt (* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* -2 (pow t 3))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* -2 (pow t 3))>
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))>
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))>
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))>
#<alt t>
#<alt (* t (+ 1 (* -2 t)))>
#<alt (* t (+ 1 (* -2 t)))>
#<alt (* t (+ 1 (* -2 t)))>
#<alt (* -2 (pow t 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* -2 (pow t 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt 1>
#<alt (+ 1 (* -2 t))>
#<alt (+ 1 (* -2 t))>
#<alt (+ 1 (* -2 t))>
#<alt (* -2 t)>
#<alt (* t (- (/ 1 t) 2))>
#<alt (* t (- (/ 1 t) 2))>
#<alt (* t (- (/ 1 t) 2))>
#<alt (* -2 t)>
#<alt (* -1 (* t (- 2 (/ 1 t))))>
#<alt (* -1 (* t (- 2 (/ 1 t))))>
#<alt (* -1 (* t (- 2 (/ 1 t))))>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
t
@0
(+ 1/3 (/ -2/9 t))
0.0ms
t
@inf
(* t (* t (+ 1 (* t -2))))
0.0ms
t
@inf
(+ 1/2 (* t (* t (+ 1 (* t -2)))))
0.0ms
t
@0
(/ -2/9 t)
0.0ms
t
@-inf
(* t (+ 1 (* t -2)))

rewrite284.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
3780×*-lowering-*.f32
3780×*-lowering-*.f64
3032×/-lowering-/.f32
3032×/-lowering-/.f64
2410×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01656
110750
295050
0841050
Stop Event
1×iter limit
1×node limit
Counts
10 → 315
Calls
Call 1
Inputs
(+ 1/2 (* t t))
(* t t)
(+ 1/2 (+ 1/3 (/ -2/9 t)))
(+ 1/3 (/ -2/9 t))
(/ -2/9 t)
(+ 1/2 (* t (* t (+ 1 (* t -2)))))
(* t (* t (+ 1 (* t -2))))
(* t (+ 1 (* t -2)))
(+ 1 (* t -2))
(* t -2)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(-.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 (*.f64 t t) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 t t) #s(literal -1/2 binary64))))
(fma.f64 t t #s(literal 1/2 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 (neg.f64 (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (+.f64 #s(literal -1/2 binary64) (*.f64 t t))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) #s(literal -1/2 binary64)) (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t)))
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(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (*.f64 #s(literal 4 binary64) t) #s(literal -2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 t (-.f64 (*.f64 #s(literal 4 binary64) t) #s(literal -2 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 t #s(literal 2 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 t #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) t)
(*.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))

simplify148.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
2768×*-lowering-*.f32
2768×*-lowering-*.f64
1570×times-frac
1296×fma-lowering-fma.f32
1296×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054587
1150547
2450529
31502529
45194529
08239529
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (pow t 2))
(+ 1/2 (pow t 2))
(pow t 2)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(pow t 2)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ -2/9 t)
(/ (- (* 5/6 t) 2/9) t)
(/ (- (* 5/6 t) 2/9) t)
(/ (- (* 5/6 t) 2/9) t)
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(/ -2/9 t)
(/ (- (* 1/3 t) 2/9) t)
(/ (- (* 1/3 t) 2/9) t)
(/ (- (* 1/3 t) 2/9) t)
1/3
(- 1/3 (* 2/9 (/ 1 t)))
(- 1/3 (* 2/9 (/ 1 t)))
(- 1/3 (* 2/9 (/ 1 t)))
1/3
(- 1/3 (* 2/9 (/ 1 t)))
(- 1/3 (* 2/9 (/ 1 t)))
(- 1/3 (* 2/9 (/ 1 t)))
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(* -2 (pow t 3))
(* (pow t 3) (- (/ 1 t) 2))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(* -2 (pow t 3))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(pow t 2)
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* -2 t)))
(* -2 (pow t 3))
(* (pow t 3) (- (/ 1 t) 2))
(* (pow t 3) (- (/ 1 t) 2))
(* (pow t 3) (- (/ 1 t) 2))
(* -2 (pow t 3))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
t
(* t (+ 1 (* -2 t)))
(* t (+ 1 (* -2 t)))
(* t (+ 1 (* -2 t)))
(* -2 (pow t 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
(* -2 (pow t 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
1
(+ 1 (* -2 t))
(+ 1 (* -2 t))
(+ 1 (* -2 t))
(* -2 t)
(* t (- (/ 1 t) 2))
(* t (- (/ 1 t) 2))
(* t (- (/ 1 t) 2))
(* -2 t)
(* -1 (* t (- 2 (/ 1 t))))
(* -1 (* t (- 2 (/ 1 t))))
(* -1 (* t (- 2 (/ 1 t))))
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ (- (* 1/3 t) 2/9) t)
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* 1/3 t) 2/9) t)
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* 1/3 t) 2/9) t)
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t))
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 1/3 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 1/3 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t))
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 1/3 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 1/3 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(* -2 (pow t 3))
(*.f64 t (*.f64 t (*.f64 t #s(literal -2 binary64))))
(* (pow t 3) (- (/ 1 t) 2))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(* -2 (pow t 3))
(*.f64 t (*.f64 t (*.f64 t #s(literal -2 binary64))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* -2 t)))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 2) (+ 1 (* -2 t)))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 2) (+ 1 (* -2 t)))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -2 (pow t 3))
(*.f64 t (*.f64 t (*.f64 t #s(literal -2 binary64))))
(* (pow t 3) (- (/ 1 t) 2))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 3) (- (/ 1 t) 2))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 3) (- (/ 1 t) 2))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -2 (pow t 3))
(*.f64 t (*.f64 t (*.f64 t #s(literal -2 binary64))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
t
(* t (+ 1 (* -2 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* t (+ 1 (* -2 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* t (+ 1 (* -2 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* -2 (pow t 2))
(*.f64 t (*.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- (/ 1 t) 2))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* -2 (pow t 2))
(*.f64 t (*.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- (/ 1 t) 2))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* t (- (/ 1 t) 2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* t (- (/ 1 t) 2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* t (- (/ 1 t) 2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -1 (* t (- 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -1 (* t (- 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -1 (* t (- 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))

eval71.0ms (1%)

Compiler

Compiled 8397 to 1063 computations (87.3% saved)

prune46.0ms (0.7%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New4341435
Fresh156
Picked055
Done000
Total43511446
Accuracy
100.0%
Counts
446 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.3%
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
▶51.3%
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
▶52.1%
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
✓50.6%
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t)))
▶51.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
51.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))
✓51.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
✓52.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
▶58.0%
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
✓58.8%
#s(literal 5/6 binary64)
✓59.5%
#s(literal 1/2 binary64)
Compiler

Compiled 166 to 128 computations (22.9% saved)

simplify130.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)
✓cost-diff0
(+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t))
✓cost-diff0
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)
✓cost-diff0
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
✓cost-diff0
(*.f64 t t)
✓cost-diff0
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1/27 binary64) t)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)
✓cost-diff0
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
✓cost-diff0
(/.f64 #s(literal 2/9 binary64) t)
✓cost-diff0
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
Rules
1700×sum5-define
1408×fma-lowering-fma.f32
1408×fma-lowering-fma.f64
1326×fma-define
1312×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030141
157137
2138137
3352137
4751137
51023137
61201137
71471137
82237137
95639137
08156137
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1/2 1/3)
1/2
1/3
(- 5/6 (/ 2/9 t))
5/6
(/ 2/9 t)
2/9
t
(+ 5/6 (/ (+ (/ 1/27 t) -2/9) t))
5/6
(/ (+ (/ 1/27 t) -2/9) t)
(+ (/ 1/27 t) -2/9)
(/ 1/27 t)
1/27
t
-2/9
(+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))
1/2
(* (* t t) (+ 1 (* t (+ t -2))))
(* t t)
t
(+ 1 (* t (+ t -2)))
1
(* t (+ t -2))
(+ t -2)
-2
(- 5/6 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t))
5/6
(/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)
(+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t))
2/9
(/ (+ -1/27 (/ -4/81 t)) t)
(+ -1/27 (/ -4/81 t))
-1/27
(/ -4/81 t)
-4/81
t
Outputs
(+ 1/2 1/3)
#s(literal 5/6 binary64)
1/2
#s(literal 1/2 binary64)
1/3
#s(literal 1/3 binary64)
(- 5/6 (/ 2/9 t))
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
5/6
#s(literal 5/6 binary64)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
2/9
#s(literal 2/9 binary64)
t
(+ 5/6 (/ (+ (/ 1/27 t) -2/9) t))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))
5/6
#s(literal 5/6 binary64)
(/ (+ (/ 1/27 t) -2/9) t)
(/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(+ (/ 1/27 t) -2/9)
(+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
1/27
#s(literal 1/27 binary64)
t
-2/9
#s(literal -2/9 binary64)
(+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))
1/2
#s(literal 1/2 binary64)
(* (* t t) (+ 1 (* t (+ t -2))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(* t t)
(*.f64 t t)
t
(+ 1 (* t (+ t -2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(* t (+ t -2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(+ t -2)
(+.f64 t #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- 5/6 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t))
5/6
#s(literal 5/6 binary64)
(/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)
(+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t))
(+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t))
2/9
#s(literal 2/9 binary64)
(/ (+ -1/27 (/ -4/81 t)) t)
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)
(+ -1/27 (/ -4/81 t))
(+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))
-1/27
#s(literal -1/27 binary64)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
-4/81
#s(literal -4/81 binary64)
t

localize170.0ms (2.5%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t))
✓accuracy99.7%
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)
✓accuracy99.6%
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)
✓accuracy99.5%
(/.f64 #s(literal -4/81 binary64) t)
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓accuracy100.0%
(*.f64 t t)
✓accuracy100.0%
(*.f64 t (+.f64 t #s(literal -2 binary64)))
✓accuracy99.9%
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64))
✓accuracy99.7%
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)
✓accuracy99.5%
(/.f64 #s(literal 1/27 binary64) t)
✓accuracy100.0%
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
✓accuracy99.5%
(/.f64 #s(literal 2/9 binary64) t)
✓accuracy98.4%
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
Results
126.0ms256×0valid
Compiler

Compiled 145 to 31 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
...c/correct-round.rkt:119:19: 56.0ms (64.9% of total)
ival-div: 12.0ms (13.9% of total)
ival-add: 10.0ms (11.6% of total)
ival-mult: 5.0ms (5.8% of total)
ival-sub: 2.0ms (2.3% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
17 → 192
Calls
Call 1
Inputs
#<alt (+ 1/2 1/3)>
#<alt (- 5/6 (/ 2/9 t))>
#<alt (/ 2/9 t)>
#<alt (+ 5/6 (/ (+ (/ 1/27 t) -2/9) t))>
#<alt (/ (+ (/ 1/27 t) -2/9) t)>
#<alt (+ (/ 1/27 t) -2/9)>
#<alt (/ 1/27 t)>
#<alt (+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))>
#<alt (* (* t t) (+ 1 (* t (+ t -2))))>
#<alt (* t t)>
#<alt (+ 1 (* t (+ t -2)))>
#<alt (- 5/6 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t))>
#<alt (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)>
#<alt (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t))>
#<alt (/ (+ -1/27 (/ -4/81 t)) t)>
#<alt (* t (+ t -2))>
#<alt (/ -4/81 t)>
Outputs
#<alt (/ -2/9 t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (/ 2/9 t)>
#<alt (/ 2/9 t)>
#<alt (/ 2/9 t)>
#<alt (/ 2/9 t)>
#<alt (/ 2/9 t)>
#<alt (/ 2/9 t)>
#<alt (/ 2/9 t)>
#<alt (/ 2/9 t)>
#<alt (/ 2/9 t)>
#<alt (/ 2/9 t)>
#<alt (/ 2/9 t)>
#<alt (/ 2/9 t)>
#<alt (/ 1/27 (pow t 2))>
#<alt (/ (+ 1/27 (* -2/9 t)) (pow t 2))>
#<alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))>
#<alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (/ 1/27 (pow t 2))>
#<alt (/ (+ 1/27 (* -2/9 t)) (pow t 2))>
#<alt (/ (+ 1/27 (* -2/9 t)) (pow t 2))>
#<alt (/ (+ 1/27 (* -2/9 t)) (pow t 2))>
#<alt (/ -2/9 t)>
#<alt (/ (- (* 1/27 (/ 1 t)) 2/9) t)>
#<alt (/ (- (* 1/27 (/ 1 t)) 2/9) t)>
#<alt (/ (- (* 1/27 (/ 1 t)) 2/9) t)>
#<alt (/ -2/9 t)>
#<alt (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))>
#<alt (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))>
#<alt (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))>
#<alt (/ 1/27 t)>
#<alt (/ (+ 1/27 (* -2/9 t)) t)>
#<alt (/ (+ 1/27 (* -2/9 t)) t)>
#<alt (/ (+ 1/27 (* -2/9 t)) t)>
#<alt -2/9>
#<alt (- (* 1/27 (/ 1 t)) 2/9)>
#<alt (- (* 1/27 (/ 1 t)) 2/9)>
#<alt (- (* 1/27 (/ 1 t)) 2/9)>
#<alt -2/9>
#<alt (- (* 1/27 (/ 1 t)) 2/9)>
#<alt (- (* 1/27 (/ 1 t)) 2/9)>
#<alt (- (* 1/27 (/ 1 t)) 2/9)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* t (- t 2))))>
#<alt (* (pow t 2) (+ 1 (* t (- t 2))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt 1>
#<alt (+ 1 (* -2 t))>
#<alt (+ 1 (* t (- t 2)))>
#<alt (+ 1 (* t (- t 2)))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (/ 4/81 (pow t 3))>
#<alt (/ (+ 4/81 (* 1/27 t)) (pow t 3))>
#<alt (/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))>
#<alt (/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))>
#<alt (/ -4/81 (pow t 3))>
#<alt (/ (- (* -1/27 t) 4/81) (pow t 3))>
#<alt (/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3))>
#<alt (/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3))>
#<alt (/ 2/9 t)>
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)>
#<alt (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)>
#<alt (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)>
#<alt (/ 2/9 t)>
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))>
#<alt (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))>
#<alt (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))>
#<alt (/ -4/81 (pow t 2))>
#<alt (/ (- (* -1/27 t) 4/81) (pow t 2))>
#<alt (/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2))>
#<alt (/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2))>
#<alt 2/9>
#<alt (- 2/9 (* 1/27 (/ 1 t)))>
#<alt (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))>
#<alt (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))>
#<alt 2/9>
#<alt (- 2/9 (* 1/27 (/ 1 t)))>
#<alt (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))>
#<alt (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))>
#<alt (/ -4/81 (pow t 2))>
#<alt (/ (- (* -1/27 t) 4/81) (pow t 2))>
#<alt (/ (- (* -1/27 t) 4/81) (pow t 2))>
#<alt (/ (- (* -1/27 t) 4/81) (pow t 2))>
#<alt (/ -1/27 t)>
#<alt (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))>
#<alt (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))>
#<alt (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))>
#<alt (/ -1/27 t)>
#<alt (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))>
#<alt (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))>
#<alt (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))>
#<alt (* -2 t)>
#<alt (* t (- t 2))>
#<alt (* t (- t 2))>
#<alt (* t (- t 2))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
t
@inf
(* t (+ t -2))
0.0ms
t
@0
(/ (+ (/ 1/27 t) -2/9) t)
0.0ms
t
@-inf
(/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)
0.0ms
t
@0
(/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)
0.0ms
t
@0
(/ 2/9 t)

rewrite450.0ms (6.6%)

Algorithm
1×batch-egg-rewrite
Rules
3696×/-lowering-/.f32
3696×/-lowering-/.f64
3548×*-lowering-*.f32
3548×*-lowering-*.f64
1594×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030115
1205111
21917111
08227111
Stop Event
1×iter limit
1×node limit
Counts
17 → 440
Calls
Call 1
Inputs
(+ 1/2 1/3)
(- 5/6 (/ 2/9 t))
(/ 2/9 t)
(+ 5/6 (/ (+ (/ 1/27 t) -2/9) t))
(/ (+ (/ 1/27 t) -2/9) t)
(+ (/ 1/27 t) -2/9)
(/ 1/27 t)
(+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))
(* (* t t) (+ 1 (* t (+ t -2))))
(* t t)
(+ 1 (* t (+ t -2)))
(- 5/6 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t))
(/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)
(+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t))
(/ (+ -1/27 (/ -4/81 t)) t)
(* t (+ t -2))
(/ -4/81 t)
Outputs
#s(literal 5/6 binary64)
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
(-.f64 (/.f64 #s(literal 125/216 binary64) (+.f64 #s(literal 25/36 binary64) (*.f64 (/.f64 #s(literal 2/9 binary64) t) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))))) (/.f64 (/.f64 #s(literal 8/729 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 25/36 binary64) (*.f64 (/.f64 #s(literal 2/9 binary64) t) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))))))
(-.f64 (/.f64 #s(literal 25/36 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))) (/.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))))
(fma.f64 #s(literal 2/9 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) t)) #s(literal 5/6 binary64))
(fma.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1 binary64) t) #s(literal 5/6 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2/9 binary64) t) #s(literal 5/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25/36 binary64) (*.f64 (/.f64 #s(literal 2/9 binary64) t) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))) (-.f64 #s(literal 125/216 binary64) (/.f64 #s(literal 8/729 binary64) (*.f64 t (*.f64 t t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))))
(/.f64 (-.f64 #s(literal 125/216 binary64) (/.f64 #s(literal 8/729 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 25/36 binary64) (*.f64 (/.f64 #s(literal 2/9 binary64) t) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))))
(/.f64 (-.f64 #s(literal 125/216 binary64) (/.f64 #s(literal 8/729 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 25/36 binary64) (-.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (*.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))))
(/.f64 (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))
(/.f64 (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 25/36 binary64) (*.f64 (/.f64 #s(literal 2/9 binary64) t) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))) (-.f64 #s(literal 125/216 binary64) (/.f64 #s(literal 8/729 binary64) (*.f64 t (*.f64 t t)))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 t #s(literal -2 binary64))))) (neg.f64 (-.f64 (*.f64 t t) (*.f64 t #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)))) (neg.f64 (+.f64 (*.f64 t t) (-.f64 #s(literal 4 binary64) (*.f64 t #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 t (+.f64 (*.f64 t t) #s(literal -4 binary64)))) (neg.f64 (+.f64 t #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)) t)) (neg.f64 (+.f64 (*.f64 t t) (-.f64 #s(literal 4 binary64) (*.f64 t #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 t t) #s(literal -4 binary64)) t)) (neg.f64 (+.f64 t #s(literal 2 binary64))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(*.f64 (+.f64 t #s(literal -2 binary64)) t)
(*.f64 (*.f64 t (+.f64 t #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) t) (+.f64 t #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 t #s(literal -2 binary64))) t)
(exp.f64 (*.f64 (log.f64 (/.f64 t #s(literal -4/81 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 4/81 binary64) t))
(/.f64 #s(literal 1 binary64) (/.f64 t #s(literal -4/81 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t #s(literal -4/81 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t #s(literal -4/81 binary64)))))
(/.f64 #s(literal -4/81 binary64) t)
(/.f64 #s(literal -4/81 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal 4/81 binary64) (-.f64 #s(literal 0 binary64) t))
(/.f64 #s(literal 4/81 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t #s(literal -4/81 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t #s(literal -4/81 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 t #s(literal -4/81 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 t #s(literal -4/81 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4/81 binary64) t))
(*.f64 #s(literal -4/81 binary64) (/.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))
(*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -4/81 binary64))

simplify251.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
2322×fma-lowering-fma.f32
2322×fma-lowering-fma.f64
2022×*-lowering-*.f32
2022×*-lowering-*.f64
1922×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01271220
13421166
29661133
326371075
464211075
080891075
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(/ -2/9 t)
(/ (- (* 5/6 t) 2/9) t)
(/ (- (* 5/6 t) 2/9) t)
(/ (- (* 5/6 t) 2/9) t)
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
(/ 2/9 t)
(/ 1/27 (pow t 2))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(/ 1/27 (pow t 2))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/ -2/9 t)
(/ (- (* 1/27 (/ 1 t)) 2/9) t)
(/ (- (* 1/27 (/ 1 t)) 2/9) t)
(/ (- (* 1/27 (/ 1 t)) 2/9) t)
(/ -2/9 t)
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))
(/ 1/27 t)
(/ (+ 1/27 (* -2/9 t)) t)
(/ (+ 1/27 (* -2/9 t)) t)
(/ (+ 1/27 (* -2/9 t)) t)
-2/9
(- (* 1/27 (/ 1 t)) 2/9)
(- (* 1/27 (/ 1 t)) 2/9)
(- (* 1/27 (/ 1 t)) 2/9)
-2/9
(- (* 1/27 (/ 1 t)) 2/9)
(- (* 1/27 (/ 1 t)) 2/9)
(- (* 1/27 (/ 1 t)) 2/9)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))
(pow t 2)
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* t (- t 2))))
(* (pow t 2) (+ 1 (* t (- t 2))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
1
(+ 1 (* -2 t))
(+ 1 (* t (- t 2)))
(+ 1 (* t (- t 2)))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(/ 4/81 (pow t 3))
(/ (+ 4/81 (* 1/27 t)) (pow t 3))
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))
(/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(/ -4/81 (pow t 3))
(/ (- (* -1/27 t) 4/81) (pow t 3))
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3))
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3))
(/ 2/9 t)
(/ (- 2/9 (* 1/27 (/ 1 t))) t)
(/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)
(/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)
(/ 2/9 t)
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))
(* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))
(* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))
(/ -4/81 (pow t 2))
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2))
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2))
2/9
(- 2/9 (* 1/27 (/ 1 t)))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
2/9
(- 2/9 (* 1/27 (/ 1 t)))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(/ -4/81 (pow t 2))
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/ -1/27 t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/ -1/27 t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(* -2 t)
(* t (- t 2))
(* t (- t 2))
(* t (- t 2))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
Outputs
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 1/27 (pow t 2))
(/.f64 (/.f64 #s(literal 1/27 binary64) t) t)
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -2/9 binary64) t)) (*.f64 t t))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 t (+.f64 #s(literal -2/9 binary64) (*.f64 t #s(literal 5/6 binary64))))) (*.f64 t t))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 t (+.f64 #s(literal -2/9 binary64) (*.f64 t #s(literal 5/6 binary64))))) (*.f64 t t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))
(/ 1/27 (pow t 2))
(/.f64 (/.f64 #s(literal 1/27 binary64) t) t)
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -2/9 binary64) t)) (*.f64 t t))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -2/9 binary64) t)) (*.f64 t t))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -2/9 binary64) t)) (*.f64 t t))
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ (- (* 1/27 (/ 1 t)) 2/9) t)
(/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(/ (- (* 1/27 (/ 1 t)) 2/9) t)
(/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(/ (- (* 1/27 (/ 1 t)) 2/9) t)
(/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))
(/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))
(/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))
(/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ (+ 1/27 (* -2/9 t)) t)
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -2/9 binary64) t)) t)
(/ (+ 1/27 (* -2/9 t)) t)
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -2/9 binary64) t)) t)
(/ (+ 1/27 (* -2/9 t)) t)
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -2/9 binary64) t)) t)
-2/9
#s(literal -2/9 binary64)
(- (* 1/27 (/ 1 t)) 2/9)
(+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
(- (* 1/27 (/ 1 t)) 2/9)
(+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
(- (* 1/27 (/ 1 t)) 2/9)
(+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
-2/9
#s(literal -2/9 binary64)
(- (* 1/27 (/ 1 t)) 2/9)
(+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
(- (* 1/27 (/ 1 t)) 2/9)
(+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
(- (* 1/27 (/ 1 t)) 2/9)
(+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))
(* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))
(* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) t)) t)))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* -2 t)))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 2) (+ 1 (* t (- t 2))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(* (pow t 2) (+ 1 (* t (- t 2))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
1
#s(literal 1 binary64)
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 1 (* t (- t 2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(+ 1 (* t (- t 2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(/ 4/81 (pow t 3))
(/.f64 #s(literal 4/81 binary64) (*.f64 t (*.f64 t t)))
(/ (+ 4/81 (* 1/27 t)) (pow t 3))
(/.f64 (+.f64 #s(literal 4/81 binary64) (*.f64 t #s(literal 1/27 binary64))) (*.f64 t (*.f64 t t)))
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))
(/.f64 (+.f64 #s(literal 4/81 binary64) (*.f64 t (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -2/9 binary64) t)))) (*.f64 t (*.f64 t t)))
(/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3))
(/.f64 (+.f64 #s(literal 4/81 binary64) (*.f64 t (+.f64 #s(literal 1/27 binary64) (*.f64 t (+.f64 #s(literal -2/9 binary64) (*.f64 t #s(literal 5/6 binary64))))))) (*.f64 t (*.f64 t t)))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t))
(/ -4/81 (pow t 3))
(/.f64 #s(literal -4/81 binary64) (*.f64 t (*.f64 t t)))
(/ (- (* -1/27 t) 4/81) (pow t 3))
(/.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) t)
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3))
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t)
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3))
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ (- 2/9 (* 1/27 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)
(/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t)
(/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)
(* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t)
(* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t)
(/ -4/81 (pow t 2))
(/.f64 #s(literal -4/81 binary64) (*.f64 t t))
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2))
(+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t))
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2))
(+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t))
2/9
#s(literal 2/9 binary64)
(- 2/9 (* 1/27 (/ 1 t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t))
2/9
#s(literal 2/9 binary64)
(- 2/9 (* 1/27 (/ 1 t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t))
(/ -4/81 (pow t 2))
(/.f64 #s(literal -4/81 binary64) (*.f64 t t))
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* t (- t 2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* t (- t 2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* t (- t 2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)

eval77.0ms (1.1%)

Compiler

Compiled 13173 to 1675 computations (87.3% saved)

prune67.0ms (1%)

Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New6320632
Fresh011
Picked055
Done055
Total63211643
Accuracy
100.0%
Counts
643 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.3%
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
✓51.3%
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
✓52.1%
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
✓50.6%
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t)))
✓51.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
▶51.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))
✓51.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
✓52.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
✓58.0%
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
✓58.8%
#s(literal 5/6 binary64)
✓59.5%
#s(literal 1/2 binary64)
Compiler

Compiled 98 to 76 computations (22.4% saved)

simplify133.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))
✓cost-diff0
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))
✓cost-diff0
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))
Rules
2838×fma-define
2582×fma-lowering-fma.f32
2582×fma-lowering-fma.f64
1308×sum3-define
1072×sum4-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014104
14385
214885
342085
4128285
5298985
6363985
7406485
8406485
9478685
10478685
0478685
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ 1/2 (* t (* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4)))))))))
1/2
(* t (* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4))))))))
t
(* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4)))))))
(+ 1 (* t (+ -2 (* t (+ 1 (* t 4))))))
1
(* t (+ -2 (* t (+ 1 (* t 4)))))
(+ -2 (* t (+ 1 (* t 4))))
-2
(* t (+ 1 (* t 4)))
(+ 1 (* t 4))
(* t 4)
4
Outputs
(+ 1/2 (* t (* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4)))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))) (*.f64 t t)))
1/2
#s(literal 1/2 binary64)
(* t (* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))) (*.f64 t t))
t
(* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4)))))))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))
(+ 1 (* t (+ -2 (* t (+ 1 (* t 4))))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))
1
#s(literal 1 binary64)
(* t (+ -2 (* t (+ 1 (* t 4)))))
(*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))
(+ -2 (* t (+ 1 (* t 4))))
(+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))
-2
#s(literal -2 binary64)
(* t (+ 1 (* t 4)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
(+ 1 (* t 4))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))
(* t 4)
(*.f64 t #s(literal 4 binary64))
4
#s(literal 4 binary64)

localize84.0ms (1.2%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
✓accuracy100.0%
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))))
✓accuracy99.9%
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))
✓accuracy99.9%
(*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))
Results
62.0ms256×0valid
Compiler

Compiled 106 to 15 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-add: 39.0ms (81.5% of total)
ival-mult: 9.0ms (18.8% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
6 → 72
Calls
Call 1
Inputs
#<alt (+ 1/2 (* t (* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4)))))))))>
#<alt (* t (* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4))))))))>
#<alt (* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4)))))))>
#<alt (+ 1 (* t (+ -2 (* t (+ 1 (* t 4))))))>
#<alt (* t (+ -2 (* t (+ 1 (* t 4)))))>
#<alt (* t (+ 1 (* t 4)))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))>
#<alt (* 4 (pow t 5))>
#<alt (* (pow t 5) (+ 4 (/ 1 t)))>
#<alt (* (pow t 5) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))>
#<alt (* (pow t 5) (- (+ 4 (+ (/ 1 t) (/ 1 (pow t 3)))) (/ 2 (pow t 2))))>
#<alt (* 4 (pow t 5))>
#<alt (* (pow t 5) (+ 4 (/ 1 t)))>
#<alt (* -1 (* (pow t 5) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))>
#<alt (* -1 (* (pow t 5) (- (* -1 (/ (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))) t)) 4)))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* t (- t 2))))>
#<alt (* (pow t 2) (+ 1 (* t (- (* t (+ 1 (* 4 t))) 2))))>
#<alt (* 4 (pow t 5))>
#<alt (* (pow t 5) (+ 4 (/ 1 t)))>
#<alt (* (pow t 5) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))>
#<alt (* (pow t 5) (- (+ 4 (+ (/ 1 t) (/ 1 (pow t 3)))) (/ 2 (pow t 2))))>
#<alt (* 4 (pow t 5))>
#<alt (* (pow t 5) (+ 4 (/ 1 t)))>
#<alt (* -1 (* (pow t 5) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))>
#<alt (* -1 (* (pow t 5) (- (* -1 (/ (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))) t)) 4)))>
#<alt t>
#<alt (* t (+ 1 (* -2 t)))>
#<alt (* t (+ 1 (* t (- t 2))))>
#<alt (* t (+ 1 (* t (- (* t (+ 1 (* 4 t))) 2))))>
#<alt (* 4 (pow t 4))>
#<alt (* (pow t 4) (+ 4 (/ 1 t)))>
#<alt (* (pow t 4) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))>
#<alt (* (pow t 4) (- (+ 4 (+ (/ 1 t) (/ 1 (pow t 3)))) (/ 2 (pow t 2))))>
#<alt (* 4 (pow t 4))>
#<alt (* (pow t 4) (+ 4 (/ 1 t)))>
#<alt (* (pow t 4) (+ 4 (* -1 (/ (- (* 2 (/ 1 t)) 1) t))))>
#<alt (* (pow t 4) (+ 4 (* -1 (/ (- (* -1 (/ (- (/ 1 t) 2) t)) 1) t))))>
#<alt 1>
#<alt (+ 1 (* -2 t))>
#<alt (+ 1 (* t (- t 2)))>
#<alt (+ 1 (* t (- (* t (+ 1 (* 4 t))) 2)))>
#<alt (* 4 (pow t 3))>
#<alt (* (pow t 3) (+ 4 (/ 1 t)))>
#<alt (* (pow t 3) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))>
#<alt (* (pow t 3) (- (+ 4 (+ (/ 1 t) (/ 1 (pow t 3)))) (/ 2 (pow t 2))))>
#<alt (* 4 (pow t 3))>
#<alt (* (pow t 3) (+ 4 (/ 1 t)))>
#<alt (* -1 (* (pow t 3) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))>
#<alt (* -1 (* (pow t 3) (- (* -1 (/ (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))) t)) 4)))>
#<alt (* -2 t)>
#<alt (* t (- t 2))>
#<alt (* t (- (* t (+ 1 (* 4 t))) 2))>
#<alt (* t (- (* t (+ 1 (* 4 t))) 2))>
#<alt (* 4 (pow t 3))>
#<alt (* (pow t 3) (+ 4 (/ 1 t)))>
#<alt (* (pow t 3) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))>
#<alt (* (pow t 3) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))>
#<alt (* 4 (pow t 3))>
#<alt (* (pow t 3) (+ 4 (/ 1 t)))>
#<alt (* -1 (* (pow t 3) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))>
#<alt (* -1 (* (pow t 3) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))>
#<alt t>
#<alt (* t (+ 1 (* 4 t)))>
#<alt (* t (+ 1 (* 4 t)))>
#<alt (* t (+ 1 (* 4 t)))>
#<alt (* 4 (pow t 2))>
#<alt (* (pow t 2) (+ 4 (/ 1 t)))>
#<alt (* (pow t 2) (+ 4 (/ 1 t)))>
#<alt (* (pow t 2) (+ 4 (/ 1 t)))>
#<alt (* 4 (pow t 2))>
#<alt (* (pow t 2) (+ 4 (/ 1 t)))>
#<alt (* (pow t 2) (+ 4 (/ 1 t)))>
#<alt (* (pow t 2) (+ 4 (/ 1 t)))>
Calls

18 calls:

TimeVariablePointExpression
0.0ms
t
@-inf
(* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4)))))))
0.0ms
t
@-inf
(+ 1/2 (* t (* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4)))))))))
0.0ms
t
@inf
(+ 1/2 (* t (* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4)))))))))
0.0ms
t
@inf
(* t (+ 1 (* t 4)))
0.0ms
t
@-inf
(* t (+ -2 (* t (+ 1 (* t 4)))))

rewrite373.0ms (5.4%)

Algorithm
1×batch-egg-rewrite
Rules
4422×*-lowering-*.f32
4422×*-lowering-*.f64
3164×/-lowering-/.f32
3164×/-lowering-/.f64
2718×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01482
19366
291466
0831766
Stop Event
1×iter limit
1×node limit
Counts
6 → 288
Calls
Call 1
Inputs
(+ 1/2 (* t (* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4)))))))))
(* t (* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4))))))))
(* t (+ 1 (* t (+ -2 (* t (+ 1 (* t 4)))))))
(+ 1 (* t (+ -2 (* t (+ 1 (* t 4))))))
(* t (+ -2 (* t (+ 1 (* t 4)))))
(* t (+ 1 (* t 4)))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))
(+.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 t t) (+.f64 (*.f64 t (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (*.f64 t t))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 t t) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (*.f64 t t)) t) #s(literal 1/2 binary64)))
(+.f64 (*.f64 t t) (+.f64 (*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 t t) (+.f64 (*.f64 (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))) (*.f64 t t)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))) (neg.f64 (/.f64 (*.f64 t (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))))))))
(+.f64 (*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))) (+.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))) (*.f64 t t)) (+.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 t (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (*.f64 t t))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (*.f64 t t)) t))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))) (*.f64 t t)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (*.f64 t t))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))) (*.f64 t t))) (*.f64 t t))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))) (/.f64 (*.f64 t (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))))
(-.f64 (/.f64 (*.f64 t (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))) (+.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) #s(literal -1/2 binary64))))
(fma.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) #s(literal 1/2 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))) (*.f64 t t) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) t #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) (*.f64 t (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))))) (+.f64 (neg.f64 (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) (+.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) (*.f64 t (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) (+.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) (*.f64 t (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) #s(literal -1/2 binary64)) (+.f64 (*.f64 t (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) (*.f64 t (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) (+.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) (*.f64 t (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))))) (+.f64 (*.f64 t (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))))
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(/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (+.f64 (*.f64 t #s(literal -4 binary64)) #s(literal -1 binary64)))) t) (-.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))) (*.f64 t (*.f64 t t))))) (neg.f64 (+.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (-.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (*.f64 t #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))) (*.f64 t (-.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) (neg.f64 (*.f64 t (-.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (*.f64 t (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))))) (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (+.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 t (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (+.f64 (*.f64 t #s(literal -4 binary64)) #s(literal -1 binary64)))))) (+.f64 #s(literal 2 binary64) (neg.f64 (*.f64 t (+.f64 (*.f64 t #s(literal -4 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) t)) (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (+.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (+.f64 (*.f64 t #s(literal -4 binary64)) #s(literal -1 binary64)))) t)) (+.f64 #s(literal 2 binary64) (neg.f64 (*.f64 t (+.f64 (*.f64 t #s(literal -4 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))) (*.f64 t (*.f64 t t))) (*.f64 #s(literal -8 binary64) (*.f64 t (*.f64 t t)))) (+.f64 (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))) (-.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (*.f64 t #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))) (*.f64 t (*.f64 t #s(literal 4 binary64)))) (-.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (*.f64 t #s(literal -2 binary64))))
(*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) t)
(*.f64 (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (-.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (*.f64 t #s(literal -2 binary64)))))))
(*.f64 (*.f64 (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))) (*.f64 t (-.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 t (-.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))
(*.f64 (*.f64 t (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (+.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) #s(literal 2 binary64))))))
(*.f64 (*.f64 t (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (+.f64 (*.f64 t #s(literal -4 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))
(*.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))) t) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (+.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) #s(literal 2 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))) (+.f64 (*.f64 t #s(literal -4 binary64)) #s(literal -1 binary64)))) t) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))
(+.f64 t (*.f64 t (*.f64 t #s(literal 4 binary64))))
(+.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) t)
(-.f64 (/.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 16 binary64)) (*.f64 t t)) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64))))))
(fma.f64 t #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 4 binary64))))
(fma.f64 t (*.f64 t #s(literal 4 binary64)) t)
(fma.f64 #s(literal 1 binary64) t (*.f64 t (*.f64 t #s(literal 4 binary64))))
(fma.f64 #s(literal 4 binary64) (*.f64 t t) t)
(fma.f64 (*.f64 t #s(literal 4 binary64)) t t)
(fma.f64 (*.f64 t t) #s(literal 4 binary64) t)
(/.f64 t (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (-.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) t))) (+.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 64 binary64)) (*.f64 t (*.f64 t t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64)))) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 t #s(literal 4 binary64))) #s(literal 4 binary64)))) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64))) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 t #s(literal 4 binary64))) #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 64 binary64))) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -16 binary64))) t)))
(/.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 64 binary64)) (*.f64 t (*.f64 t t)))) (+.f64 (*.f64 t t) (*.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (-.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) t))))
(/.f64 (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64))))) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64)))))
(/.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 64 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 t #s(literal 4 binary64))) #s(literal 4 binary64)))))
(/.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -16 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 64 binary64))) t) (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 t #s(literal 4 binary64))) #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -16 binary64))) t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 64 binary64)) (*.f64 t (*.f64 t t))))) (neg.f64 (+.f64 (*.f64 t t) (*.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (-.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) t)))))
(/.f64 (neg.f64 (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64)))))) (neg.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64))))))
(/.f64 (neg.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 64 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 t (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 t #s(literal 4 binary64))) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -16 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 64 binary64))) t)) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 t (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 t #s(literal 4 binary64))) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -16 binary64))) t)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 64 binary64)) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 t t))) (+.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 16 binary64)) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) t))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 16 binary64)) (*.f64 t t)) (*.f64 t t)) (-.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) t))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))) t)
(*.f64 (+.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 64 binary64)) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (-.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) t)))))
(*.f64 (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64))))))
(*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 t #s(literal 4 binary64))) #s(literal 4 binary64))))))
(*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 64 binary64))) t) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 t #s(literal 4 binary64))) #s(literal 4 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -16 binary64))) t) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -4 binary64)))))

simplify205.0ms (3%)

Algorithm
1×egg-herbie
Rules
3030×*-lowering-*.f32
3030×*-lowering-*.f64
1550×/-lowering-/.f32
1550×/-lowering-/.f64
1404×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
088671
1287621
2865609
32801575
47549575
08483575
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(* 4 (pow t 5))
(* (pow t 5) (+ 4 (/ 1 t)))
(* (pow t 5) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))
(* (pow t 5) (- (+ 4 (+ (/ 1 t) (/ 1 (pow t 3)))) (/ 2 (pow t 2))))
(* 4 (pow t 5))
(* (pow t 5) (+ 4 (/ 1 t)))
(* -1 (* (pow t 5) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))
(* -1 (* (pow t 5) (- (* -1 (/ (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))) t)) 4)))
(pow t 2)
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* t (- t 2))))
(* (pow t 2) (+ 1 (* t (- (* t (+ 1 (* 4 t))) 2))))
(* 4 (pow t 5))
(* (pow t 5) (+ 4 (/ 1 t)))
(* (pow t 5) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))
(* (pow t 5) (- (+ 4 (+ (/ 1 t) (/ 1 (pow t 3)))) (/ 2 (pow t 2))))
(* 4 (pow t 5))
(* (pow t 5) (+ 4 (/ 1 t)))
(* -1 (* (pow t 5) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))
(* -1 (* (pow t 5) (- (* -1 (/ (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))) t)) 4)))
t
(* t (+ 1 (* -2 t)))
(* t (+ 1 (* t (- t 2))))
(* t (+ 1 (* t (- (* t (+ 1 (* 4 t))) 2))))
(* 4 (pow t 4))
(* (pow t 4) (+ 4 (/ 1 t)))
(* (pow t 4) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))
(* (pow t 4) (- (+ 4 (+ (/ 1 t) (/ 1 (pow t 3)))) (/ 2 (pow t 2))))
(* 4 (pow t 4))
(* (pow t 4) (+ 4 (/ 1 t)))
(* (pow t 4) (+ 4 (* -1 (/ (- (* 2 (/ 1 t)) 1) t))))
(* (pow t 4) (+ 4 (* -1 (/ (- (* -1 (/ (- (/ 1 t) 2) t)) 1) t))))
1
(+ 1 (* -2 t))
(+ 1 (* t (- t 2)))
(+ 1 (* t (- (* t (+ 1 (* 4 t))) 2)))
(* 4 (pow t 3))
(* (pow t 3) (+ 4 (/ 1 t)))
(* (pow t 3) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))
(* (pow t 3) (- (+ 4 (+ (/ 1 t) (/ 1 (pow t 3)))) (/ 2 (pow t 2))))
(* 4 (pow t 3))
(* (pow t 3) (+ 4 (/ 1 t)))
(* -1 (* (pow t 3) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))
(* -1 (* (pow t 3) (- (* -1 (/ (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))) t)) 4)))
(* -2 t)
(* t (- t 2))
(* t (- (* t (+ 1 (* 4 t))) 2))
(* t (- (* t (+ 1 (* 4 t))) 2))
(* 4 (pow t 3))
(* (pow t 3) (+ 4 (/ 1 t)))
(* (pow t 3) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))
(* (pow t 3) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))
(* 4 (pow t 3))
(* (pow t 3) (+ 4 (/ 1 t)))
(* -1 (* (pow t 3) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))
(* -1 (* (pow t 3) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))
t
(* t (+ 1 (* 4 t)))
(* t (+ 1 (* 4 t)))
(* t (+ 1 (* 4 t)))
(* 4 (pow t 2))
(* (pow t 2) (+ 4 (/ 1 t)))
(* (pow t 2) (+ 4 (/ 1 t)))
(* (pow t 2) (+ 4 (/ 1 t)))
(* 4 (pow t 2))
(* (pow t 2) (+ 4 (/ 1 t)))
(* (pow t 2) (+ 4 (/ 1 t)))
(* (pow t 2) (+ 4 (/ 1 t)))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))
(* 4 (pow t 5))
(*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 5 binary64)))
(* (pow t 5) (+ 4 (/ 1 t)))
(*.f64 (pow.f64 t #s(literal 5 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) t)))
(* (pow t 5) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))
(*.f64 (pow.f64 t #s(literal 5 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t)) t)))
(* (pow t 5) (- (+ 4 (+ (/ 1 t) (/ 1 (pow t 3)))) (/ 2 (pow t 2))))
(*.f64 (pow.f64 t #s(literal 5 binary64)) (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t)) t)) t)))
(* 4 (pow t 5))
(*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 5 binary64)))
(* (pow t 5) (+ 4 (/ 1 t)))
(*.f64 (pow.f64 t #s(literal 5 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) t)))
(* -1 (* (pow t 5) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))
(*.f64 (pow.f64 t #s(literal 5 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t)) t)))
(* -1 (* (pow t 5) (- (* -1 (/ (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))) t)) 4)))
(*.f64 (pow.f64 t #s(literal 5 binary64)) (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t)) t)) t)))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* -2 t)))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 2) (+ 1 (* t (- t 2))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(* (pow t 2) (+ 1 (* t (- (* t (+ 1 (* 4 t))) 2))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))
(* 4 (pow t 5))
(*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 5 binary64)))
(* (pow t 5) (+ 4 (/ 1 t)))
(*.f64 (pow.f64 t #s(literal 5 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) t)))
(* (pow t 5) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))
(*.f64 (pow.f64 t #s(literal 5 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t)) t)))
(* (pow t 5) (- (+ 4 (+ (/ 1 t) (/ 1 (pow t 3)))) (/ 2 (pow t 2))))
(*.f64 (pow.f64 t #s(literal 5 binary64)) (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t)) t)) t)))
(* 4 (pow t 5))
(*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 5 binary64)))
(* (pow t 5) (+ 4 (/ 1 t)))
(*.f64 (pow.f64 t #s(literal 5 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) t)))
(* -1 (* (pow t 5) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))
(*.f64 (pow.f64 t #s(literal 5 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t)) t)))
(* -1 (* (pow t 5) (- (* -1 (/ (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))) t)) 4)))
(*.f64 (pow.f64 t #s(literal 5 binary64)) (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t)) t)) t)))
t
(* t (+ 1 (* -2 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* t (+ 1 (* t (- t 2))))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
(* t (+ 1 (* t (- (* t (+ 1 (* 4 t))) 2))))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))
(* 4 (pow t 4))
(*.f64 #s(literal 4 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
(* (pow t 4) (+ 4 (/ 1 t)))
(*.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) t)) (*.f64 t (*.f64 t (*.f64 t t))))
(* (pow t 4) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))
(*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t)) t)) (*.f64 t (*.f64 t (*.f64 t t))))
(* (pow t 4) (- (+ 4 (+ (/ 1 t) (/ 1 (pow t 3)))) (/ 2 (pow t 2))))
(+.f64 t (*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t)) t)) (*.f64 t (*.f64 t (*.f64 t t)))))
(* 4 (pow t 4))
(*.f64 #s(literal 4 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
(* (pow t 4) (+ 4 (/ 1 t)))
(*.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) t)) (*.f64 t (*.f64 t (*.f64 t t))))
(* (pow t 4) (+ 4 (* -1 (/ (- (* 2 (/ 1 t)) 1) t))))
(*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t)) t)) (*.f64 t (*.f64 t (*.f64 t t))))
(* (pow t 4) (+ 4 (* -1 (/ (- (* -1 (/ (- (/ 1 t) 2) t)) 1) t))))
(+.f64 t (*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t)) t)) (*.f64 t (*.f64 t (*.f64 t t)))))
1
#s(literal 1 binary64)
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 1 (* t (- t 2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(+ 1 (* t (- (* t (+ 1 (* 4 t))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))
(* 4 (pow t 3))
(*.f64 t (*.f64 (*.f64 t t) #s(literal 4 binary64)))
(* (pow t 3) (+ 4 (/ 1 t)))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
(* (pow t 3) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))
(*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))
(* (pow t 3) (- (+ 4 (+ (/ 1 t) (/ 1 (pow t 3)))) (/ 2 (pow t 2))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))
(* 4 (pow t 3))
(*.f64 t (*.f64 (*.f64 t t) #s(literal 4 binary64)))
(* (pow t 3) (+ 4 (/ 1 t)))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
(* -1 (* (pow t 3) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))
(*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))
(* -1 (* (pow t 3) (- (* -1 (/ (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))) t)) 4)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* t (- t 2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* t (- (* t (+ 1 (* 4 t))) 2))
(*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))
(* t (- (* t (+ 1 (* 4 t))) 2))
(*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))
(* 4 (pow t 3))
(*.f64 t (*.f64 (*.f64 t t) #s(literal 4 binary64)))
(* (pow t 3) (+ 4 (/ 1 t)))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
(* (pow t 3) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))
(*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))
(* (pow t 3) (- (+ 4 (/ 1 t)) (/ 2 (pow t 2))))
(*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))
(* 4 (pow t 3))
(*.f64 t (*.f64 (*.f64 t t) #s(literal 4 binary64)))
(* (pow t 3) (+ 4 (/ 1 t)))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
(* -1 (* (pow t 3) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))
(*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))
(* -1 (* (pow t 3) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))
(*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))
t
(* t (+ 1 (* 4 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
(* t (+ 1 (* 4 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
(* t (+ 1 (* 4 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
(* 4 (pow t 2))
(*.f64 (*.f64 t t) #s(literal 4 binary64))
(* (pow t 2) (+ 4 (/ 1 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
(* (pow t 2) (+ 4 (/ 1 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
(* (pow t 2) (+ 4 (/ 1 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
(* 4 (pow t 2))
(*.f64 (*.f64 t t) #s(literal 4 binary64))
(* (pow t 2) (+ 4 (/ 1 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
(* (pow t 2) (+ 4 (/ 1 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
(* (pow t 2) (+ 4 (/ 1 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))

eval46.0ms (0.7%)

Compiler

Compiled 15400 to 1531 computations (90.1% saved)

prune69.0ms (1%)

Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New3600360
Fresh000
Picked011
Done01010
Total36011371
Accuracy
100.0%
Counts
371 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.3%
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
✓51.3%
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
✓52.1%
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
✓50.6%
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t)))
✓51.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓51.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))
✓51.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
✓52.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
✓58.0%
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
✓58.8%
#s(literal 5/6 binary64)
✓59.5%
#s(literal 1/2 binary64)
Compiler

Compiled 255 to 144 computations (43.5% saved)

regimes20.0ms (0.3%)

Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 t (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
Calls

4 calls:

7.0ms
(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
4.0ms
t
4.0ms
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
3.0ms
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
Results
AccuracySegmentsBranch
100.0%1t
100.0%1(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
100.0%1(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
100.0%1(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
Compiler

Compiled 62 to 24 computations (61.3% saved)

regimes7.0ms (0.1%)

Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 t (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))))
Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 t (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))))
#s(literal 5/6 binary64)
Calls

1 calls:

5.0ms
t
Results
AccuracySegmentsBranch
100.0%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
12 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))
Outputs
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))))))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
Calls

1 calls:

4.0ms
t
Results
AccuracySegmentsBranch
100.0%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
Outputs
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
Calls

1 calls:

4.0ms
t
Results
AccuracySegmentsBranch
100.0%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
Calls

1 calls:

6.0ms
t
Results
AccuracySegmentsBranch
100.0%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
Calls

1 calls:

3.0ms
t
Results
AccuracySegmentsBranch
99.9%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
Calls

1 calls:

3.0ms
t
Results
AccuracySegmentsBranch
99.8%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -2/9 binary64) t)))
Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
Calls

1 calls:

3.0ms
t
Results
AccuracySegmentsBranch
99.6%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
Outputs
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
#s(literal 5/6 binary64)
Calls

1 calls:

2.0ms
t
Results
AccuracySegmentsBranch
98.8%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
Outputs
#s(literal 5/6 binary64)
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
Calls

1 calls:

3.0ms
t
Results
AccuracySegmentsBranch
98.6%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
Outputs
#s(literal 1/2 binary64)
Calls

1 calls:

1.0ms
t
Results
AccuracySegmentsBranch
59.5%1t
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch9.0ms (0.1%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
6.0ms
740357419302626.0
45174227165170420.0
2.0ms
-1144701.183679836
-25723.623043327232
Results
5.0ms80×0valid
Compiler

Compiled 218 to 124 computations (43.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (29.3% of total)
ival-add: 1.0ms (29.3% of total)
ival-mult: 1.0ms (29.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.00046898366594290094
1382211274.3063543
17.0ms
-25723.623043327232
-4.0579622981258647e-7
Results
24.0ms320×0valid
Compiler

Compiled 680 to 493 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 4.0ms (29.1% of total)
ival-add: 4.0ms (29.1% of total)
ival-mult: 4.0ms (29.1% of total)
const: 1.0ms (7.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch62.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.00046898366594290094
1382211274.3063543
19.0ms
-25723.623043327232
-4.0579622981258647e-7
Results
24.0ms320×0valid
Compiler

Compiled 560 to 413 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 7.0ms (42.7% of total)
ival-div: 4.0ms (24.4% of total)
ival-mult: 4.0ms (24.4% of total)
const: 1.0ms (6.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.00046898366594290094
1382211274.3063543
16.0ms
-25723.623043327232
-4.0579622981258647e-7
Results
21.0ms320×0valid
Compiler

Compiled 520 to 383 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 4.0ms (29.3% of total)
ival-add: 4.0ms (29.3% of total)
ival-mult: 4.0ms (29.3% of total)
const: 1.0ms (7.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch63.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.00046898366594290094
1382211274.3063543
42.0ms
-25723.623043327232
-4.0579622981258647e-7
Results
28.0ms320×0valid
Compiler

Compiled 480 to 363 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 11.0ms (53.7% of total)
ival-div: 4.0ms (19.5% of total)
ival-add: 4.0ms (19.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch58.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
0.00046898366594290094
1382211274.3063543
22.0ms
-25723.623043327232
-4.0579622981258647e-7
Results
34.0ms320×0valid
Compiler

Compiled 360 to 263 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-add: 17.0ms (64.1% of total)
ival-div: 4.0ms (15.1% of total)
ival-mult: 4.0ms (15.1% of total)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.00046898366594290094
1382211274.3063543
19.0ms
-25723.623043327232
-4.0579622981258647e-7
Results
27.0ms320×0valid
Compiler

Compiled 320 to 233 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 8.0ms (46.7% of total)
ival-add: 4.0ms (23.4% of total)
ival-mult: 4.0ms (23.4% of total)
const: 1.0ms (5.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.00046898366594290094
1382211274.3063543
19.0ms
-25723.623043327232
-4.0579622981258647e-7
Results
28.0ms320×0valid
Compiler

Compiled 240 to 173 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-add: 8.0ms (40.1% of total)
ival-mult: 8.0ms (40.1% of total)
ival-div: 4.0ms (20.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.00046898366594290094
1382211274.3063543
20.0ms
-25723.623043327232
-4.0579622981258647e-7
Results
28.0ms320×0valid
Compiler

Compiled 160 to 133 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 8.0ms (38.5% of total)
ival-div: 7.0ms (33.7% of total)
ival-add: 4.0ms (19.2% of total)
const: 1.0ms (4.8% of total)
backward-pass: 0.0ms (0% of total)

simplify23.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
64×+-commutative_binary64
44×*-commutative_binary64
20×sub-neg_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103307
1152307
2160307
3170307
4184307
5196307
6209307
7216307
8220307
9221307
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
(if (<=.f64 t #s(literal -1000000 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (if (<=.f64 t #s(literal 10000000000000000 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 t (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t))))) #s(literal 5/6 binary64)))
(if (<=.f64 t #s(literal -5134103575202365/9007199254740992 binary64)) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) (if (<=.f64 t #s(literal 5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -1080863910568919/2251799813685248 binary64)) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) (if (<=.f64 t #s(literal 3/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -5134103575202365/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (if (<=.f64 t #s(literal 3/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -5404319552844595/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (if (<=.f64 t #s(literal 5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -7385903388887613/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -3512807709348987/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -7566047373982433/18014398509481984 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 5/6 binary64)))
(if (<=.f64 t #s(literal -5944751508129055/18014398509481984 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 5/6 binary64)))
#s(literal 1/2 binary64)
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
(if (<=.f64 t #s(literal -1000000 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (if (<=.f64 t #s(literal 10000000000000000 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 t (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t))))) #s(literal 5/6 binary64)))
(if (<=.f64 t #s(literal -5134103575202365/9007199254740992 binary64)) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) (if (<=.f64 t #s(literal 5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64)))))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -1080863910568919/2251799813685248 binary64)) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) (if (<=.f64 t #s(literal 3/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -5134103575202365/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (if (<=.f64 t #s(literal 3/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -5404319552844595/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (if (<=.f64 t #s(literal 5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -7385903388887613/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -3512807709348987/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -7566047373982433/18014398509481984 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 5/6 binary64)))
(if (<=.f64 t #s(literal -5944751508129055/18014398509481984 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 5/6 binary64)))
#s(literal 1/2 binary64)

soundness878.0ms (12.8%)

Rules
2520×*-lowering-*.f32
2520×*-lowering-*.f64
2480×fma-lowering-fma.f32
2480×fma-lowering-fma.f64
2430×fma-define
Iterations

Useful iterations: 12 (0.0ms)

IterNodesCost
02071087
1663996
21850960
35261960
08241960
01035
12231
25029
312629
422929
530929
653529
775227
896027
9106627
10126127
11189327
12329226
13509726
14754926
15798026
0802526
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 442 to 204 computations (53.8% saved)

preprocess110.0ms (1.6%)

Compiler

Compiled 696 to 226 computations (67.5% saved)

end0.0ms (0%)

Profiling

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