Kahan p13 Example 1

Time bar (total: 9.0s)

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)

sample931.0ms (10.3%)

Results
711.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 523.0ms
ival-mult: 208.0ms (39.8% of total)
ival-add: 176.0ms (33.6% of total)
ival-div: 122.0ms (23.3% of total)
const: 14.0ms (2.7% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess307.0ms (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))

explain129.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
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)
Results
72.0ms512×0valid
Compiler

Compiled 240 to 32 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-add: 8.0ms (33.8% of total)
ival-mult: 8.0ms (33.8% of total)
ival-div: 7.0ms (29.6% of total)
const: 1.0ms (4.2% 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
▶99.6%
(/.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)))))
▶73.5%
(+.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)

simplify262.0ms (2.9%)

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)))))

localize95.0ms (1.1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.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))))
✓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)))))
✓accuracy99.9%
(*.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)))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
✓accuracy100.0%
(/.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))))
✓accuracy99.6%
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 t (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 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)))))
✓accuracy74.6%
(/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t))))
Results
59.0ms256×0valid
Compiler

Compiled 239 to 23 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 12.0ms (36.3% of total)
ival-add: 11.0ms (33.2% of total)
ival-mult: 9.0ms (27.2% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
10 → 120
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 (/ (* (* 2 t) (/ t (+ 1 t))) (+ 1 t))>
#<alt (/ (* 2 t) (+ 1 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 (pow t 2))>
#<alt (* (pow t 2) (+ 2 (* -4 t)))>
#<alt (* (pow t 2) (+ 2 (* t (- (* 6 t) 4))))>
#<alt (* (pow t 2) (+ 2 (* t (- (* t (+ 6 (* -8 t))) 4))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 t)))>
#<alt (- (+ 2 (/ 6 (pow t 2))) (* 4 (/ 1 t)))>
#<alt (- (+ 2 (/ 6 (pow t 2))) (+ (* 4 (/ 1 t)) (* 8 (/ 1 (pow t 3)))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 t)))>
#<alt (+ 2 (* -1 (/ (- 4 (* 6 (/ 1 t))) t)))>
#<alt (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 8 (/ 1 t))) t))) t)))>
#<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)))>
Calls

30 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
(* t t)

rewrite385.0ms (4.3%)

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
022144
1169133
21754128
08741128
Stop Event
1×iter limit
1×node limit
Counts
10 → 370
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))))
(/ (* (* 2 t) (/ t (+ 1 t))) (+ 1 t))
(/ (* 2 t) (+ 1 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 t (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 t (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 t #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 t #s(literal 1 binary64)) t)))
(*.f64 #s(literal 2 binary64) (/.f64 t (+.f64 t #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t (+.f64 t #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 t #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal 1 binary64))))
(*.f64 (/.f64 t (+.f64 t #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 t #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) t) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal 1 binary64))) (*.f64 t #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.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)))

simplify255.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
2782×fma-lowering-fma.f32
2782×fma-lowering-fma.f64
2370×*-lowering-*.f32
2370×*-lowering-*.f64
2104×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0215953
1690868
21904832
35296832
08380832
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 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 (pow t 2))
(* (pow t 2) (+ 2 (* -4 t)))
(* (pow t 2) (+ 2 (* t (- (* 6 t) 4))))
(* (pow t 2) (+ 2 (* t (- (* t (+ 6 (* -8 t))) 4))))
2
(- 2 (* 4 (/ 1 t)))
(- (+ 2 (/ 6 (pow t 2))) (* 4 (/ 1 t)))
(- (+ 2 (/ 6 (pow t 2))) (+ (* 4 (/ 1 t)) (* 8 (/ 1 (pow t 3)))))
2
(- 2 (* 4 (/ 1 t)))
(+ 2 (* -1 (/ (- 4 (* 6 (/ 1 t))) t)))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 8 (/ 1 t))) t))) t)))
(* 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)))
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 (*.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)))))))
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 (*.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 (+ 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))))))))
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 #s(literal 1/3 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)))
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 (*.f64 t 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 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) t)) t) (+.f64 #s(literal 1 binary64) (/.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 (*.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)))))))
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 (*.f64 t 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 t (*.f64 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 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t) (+.f64 #s(literal 5 binary64) (/.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 (*.f64 t 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 t (*.f64 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 (*.f64 t 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 (*.f64 t 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 t (*.f64 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 (pow t 2))
(*.f64 #s(literal 2 binary64) (*.f64 t t))
(* (pow t 2) (+ 2 (* -4 t)))
(*.f64 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64)))))
(* (pow t 2) (+ 2 (* t (- (* 6 t) 4))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal -4 binary64) (*.f64 t #s(literal 6 binary64))))))
(* (pow t 2) (+ 2 (* t (- (* t (+ 6 (* -8 t))) 4))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal -4 binary64) (*.f64 t (+.f64 (*.f64 t #s(literal -8 binary64)) #s(literal 6 binary64)))))))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 t)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) t))
(- (+ 2 (/ 6 (pow t 2))) (* 4 (/ 1 t)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 6 binary64) t)) t))
(- (+ 2 (/ 6 (pow t 2))) (+ (* 4 (/ 1 t)) (* 8 (/ 1 (pow t 3)))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 6 binary64) t)) t)) (/.f64 #s(literal -8 binary64) (*.f64 t (*.f64 t t))))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 t)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) t))
(+ 2 (* -1 (/ (- 4 (* 6 (/ 1 t))) t)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 6 binary64) t)) t))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 6 (* 8 (/ 1 t))) t))) t)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 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 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t)) (/.f64 #s(literal -2 binary64) (*.f64 t (*.f64 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))

eval97.0ms (1.1%)

Compiler

Compiled 28597 to 2122 computations (92.6% saved)

prune93.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New71312725
Fresh000
Picked112
Done000
Total71413727
Accuracy
100.0%
Counts
727 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(-.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 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
50.7%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓73.5%
(+.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)))))
55.0%
(+.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 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))))))
49.6%
(+.f64 #s(literal 1/2 binary64) (-.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)))
51.5%
(+.f64 #s(literal 1/2 binary64) (*.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)))))))))
51.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
▶52.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))
▶51.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
57.8%
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
▶58.6%
#s(literal 5/6 binary64)
▶59.2%
#s(literal 1/2 binary64)
Compiler

Compiled 294 to 215 computations (26.9% saved)

simplify27.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
✓cost-diff0
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
✓cost-diff0
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.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 (+.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 t t)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
Rules
582×fma-define
518×fma-lowering-fma.f32
518×fma-lowering-fma.f64
184×sum3-define
176×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01992
14186
29786
326486
461486
582186
687386
087386
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
1/2
5/6
(+ 1/2 (* t t))
1/2
(* t t)
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 (+ 1 (* t (+ t -2))))
(+ 1 (* t (+ t -2)))
1
(* t (+ t -2))
(+ 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
(+ 5/6 (/ (+ (/ 1/27 t) -2/9) t))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
5/6
#s(literal 5/6 binary64)
(/ (+ (/ 1/27 t) -2/9) t)
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)
(+ (/ 1/27 t) -2/9)
(+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64))
(/ 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 (*.f64 t 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 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
t
(* t (+ 1 (* t (+ t -2))))
(*.f64 t (+.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))))
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)

localize97.0ms (1.1%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))
✓accuracy100.0%
(*.f64 t (+.f64 t #s(literal -2 binary64)))
✓accuracy99.9%
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓accuracy99.9%
(*.f64 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))
✓accuracy99.6%
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)
✓accuracy99.4%
(/.f64 #s(literal 1/27 binary64) t)
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
✓accuracy100.0%
(*.f64 t t)
Results
73.0ms256×0valid
Compiler

Compiled 94 to 20 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
...c/correct-round.rkt:119:19: 12.0ms (34.2% of total)
ival-add: 8.0ms (22.8% of total)
ival-mult: 8.0ms (22.8% of total)
ival-div: 6.0ms (17.1% of total)
const: 1.0ms (2.9% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
11 → 132
Calls
Call 1
Inputs
#<alt (+ 1/2 (* t t))>
#<alt (* t 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 (+ 1 (* t (+ t -2))))>
#<alt (+ 1 (* t (+ t -2)))>
#<alt (* t (+ 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 (/ 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 t>
#<alt (* t (+ 1 (* -2 t)))>
#<alt (* t (+ 1 (* t (- t 2))))>
#<alt (* t (+ 1 (* t (- t 2))))>
#<alt (pow t 3)>
#<alt (* (pow t 3) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 3) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* (pow t 3) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (pow t 3)>
#<alt (* -1 (* (pow t 3) (- (* 2 (/ 1 t)) 1)))>
#<alt (* -1 (* (pow t 3) (- (* -1 (/ (- (/ 1 t) 2) t)) 1)))>
#<alt (* -1 (* (pow t 3) (- (* -1 (/ (- (/ 1 t) 2) t)) 1)))>
#<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 (* -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))))>
Calls

33 calls:

TimeVariablePointExpression
1.0ms
t
@-inf
(/ (+ (/ 1/27 t) -2/9) t)
0.0ms
t
@0
(/ (+ (/ 1/27 t) -2/9) t)
0.0ms
t
@-inf
(+ 5/6 (/ (+ (/ 1/27 t) -2/9) t))
0.0ms
t
@inf
(+ 1/2 (* t (* t (+ 1 (* t (+ t -2))))))
0.0ms
t
@0
(+ 5/6 (/ (+ (/ 1/27 t) -2/9) t))

rewrite312.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
3730×/-lowering-/.f32
3730×/-lowering-/.f64
3366×*-lowering-*.f32
3366×*-lowering-*.f64
2184×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01977
113371
2116371
0826271
Stop Event
1×iter limit
1×node limit
Counts
11 → 378
Calls
Call 1
Inputs
(+ 1/2 (* t t))
(* t 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 (+ 1 (* t (+ t -2))))
(+ 1 (* t (+ t -2)))
(* t (+ 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 (*.f64 t 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 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(-.f64 (/.f64 (*.f64 (*.f64 t 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))
(/.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 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal -1/4 binary64))))
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(/.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (pow.f64 (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 (*.f64 (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 t t) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal 3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t t)) (+.f64 #s(literal 1 binary64) (*.f64 t t))) (-.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 t #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t (*.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))))) #s(literal 3 binary64))) (+.f64 (*.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 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 t (*.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 (*.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (/.f64 (*.f64 t (*.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 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 t t) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t t)) (+.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (*.f64 t t) #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 t #s(literal -2 binary64))))
(/.f64 (-.f64 (*.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 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (*.f64 (/.f64 (*.f64 t (*.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 (*.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (/.f64 (*.f64 t (*.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)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (+.f64 t #s(literal -2 binary64))) (*.f64 t (*.f64 (+.f64 t #s(literal -2 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 (+.f64 t #s(literal -2 binary64))) #s(literal -1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (+.f64 t #s(literal -2 binary64))) (*.f64 t (*.f64 (+.f64 t #s(literal -2 binary64)) (*.f64 t (+.f64 t #s(literal -2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t (*.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 #s(literal 1 binary64) (*.f64 t (*.f64 (+.f64 t #s(literal -2 binary64)) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (+.f64 t #s(literal -2 binary64))) (*.f64 t (*.f64 (+.f64 t #s(literal -2 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 (+.f64 t #s(literal -2 binary64))) #s(literal -1 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (+.f64 t #s(literal -2 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 t (+.f64 t #s(literal -2 binary64)))))))
(*.f64 (+.f64 (*.f64 t (*.f64 (+.f64 t #s(literal -2 binary64)) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t (+.f64 t #s(literal -2 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 t t) (*.f64 t #s(literal -2 binary64)))
(+.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 t t))
(-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) t))) (/.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (+.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) t))))
(fma.f64 t t (*.f64 t #s(literal -2 binary64)))
(fma.f64 t #s(literal -2 binary64) (*.f64 t t))
(fma.f64 (*.f64 t t) #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 t t) (*.f64 t #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) t (*.f64 t t))
(/.f64 t (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (*.f64 (*.f64 t t) (*.f64 t #s(literal -2 binary64))))) (+.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) t)) (*.f64 (*.f64 t (+.f64 t #s(literal -2 binary64))) (+.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) t))) (*.f64 t (+.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t #s(literal 2 binary64)) (*.f64 t (+.f64 (*.f64 t t) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) t))) (*.f64 (+.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 t t) #s(literal -4 binary64)) t)))
(/.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (+.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (*.f64 (*.f64 t t) (*.f64 t #s(literal -2 binary64))))))
(/.f64 (*.f64 (*.f64 t (+.f64 t #s(literal -2 binary64))) (+.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) t))) (+.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) t)))
(/.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (+.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) t))))
(/.f64 (*.f64 t (+.f64 (*.f64 t t) #s(literal -4 binary64))) (+.f64 t #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)) t) (+.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) t))))
(/.f64 (*.f64 (+.f64 (*.f64 t t) #s(literal -4 binary64)) t) (+.f64 t #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (*.f64 (*.f64 t t) (*.f64 t #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 t (+.f64 t #s(literal -2 binary64))) (+.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) t)))) (neg.f64 (+.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) t))))
(/.f64 (neg.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) t)))))
(/.f64 (neg.f64 (*.f64 t (+.f64 (*.f64 t t) #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 t #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)) t)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) t)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 t t) #s(literal -4 binary64)) t)) (-.f64 #s(literal 0 binary64) (+.f64 t #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) (+.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 t t)))))
(/.f64 (-.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (*.f64 (*.f64 t t) (*.f64 t t))) (-.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 t t)))
(*.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 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (*.f64 (*.f64 t t) (*.f64 t #s(literal -2 binary64)))))))
(*.f64 (*.f64 (*.f64 t (+.f64 t #s(literal -2 binary64))) (+.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) t))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) t))))
(*.f64 (*.f64 t (+.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) t)))))
(*.f64 (*.f64 t (+.f64 (*.f64 t t) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal 2 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)) t) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) t)))))
(*.f64 (*.f64 (+.f64 (*.f64 t t) #s(literal -4 binary64)) t) (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal 2 binary64))))

simplify234.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
2694×*-lowering-*.f32
2694×*-lowering-*.f64
2190×fma-lowering-fma.f32
2190×fma-lowering-fma.f64
1980×sum4-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
093875
1273803
2802798
32499794
46214790
08443790
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
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)
(/ 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))))
t
(* t (+ 1 (* -2 t)))
(* t (+ 1 (* t (- t 2))))
(* t (+ 1 (* t (- t 2))))
(pow t 3)
(* (pow t 3) (- 1 (* 2 (/ 1 t))))
(* (pow t 3) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 3) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(pow t 3)
(* -1 (* (pow t 3) (- (* 2 (/ 1 t)) 1)))
(* -1 (* (pow t 3) (- (* -1 (/ (- (/ 1 t) 2) t)) 1)))
(* -1 (* (pow t 3) (- (* -1 (/ (- (/ 1 t) 2) t)) 1)))
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))))
(* -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))))
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)
(/ 1/27 (pow t 2))
(/.f64 #s(literal 1/27 binary64) (*.f64 t t))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 t #s(literal -2/9 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))
(/ (+ 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 #s(literal 1/27 binary64) (*.f64 t t))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 t #s(literal -2/9 binary64))) (*.f64 t t))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 t #s(literal -2/9 binary64))) (*.f64 t t))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 t #s(literal -2/9 binary64))) (*.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 t #s(literal -2/9 binary64))) t)
(/ (+ 1/27 (* -2/9 t)) t)
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 t #s(literal -2/9 binary64))) t)
(/ (+ 1/27 (* -2/9 t)) t)
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 t #s(literal -2/9 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))
-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 #s(literal 1/2 binary64) (*.f64 t t))
(+ 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 (*.f64 t 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 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) 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 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) 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 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) 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 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.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 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 (/.f64 #s(literal 1 binary64) t) #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 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) 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 (/.f64 #s(literal 1 binary64) t) #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 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) 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 2))))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
(pow t 3)
(*.f64 t (*.f64 t t))
(* (pow t 3) (- 1 (* 2 (/ 1 t))))
(*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t))))
(* (pow t 3) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))))
(* (pow t 3) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))))
(pow t 3)
(*.f64 t (*.f64 t t))
(* -1 (* (pow t 3) (- (* 2 (/ 1 t)) 1)))
(*.f64 (*.f64 t t) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t))))
(* -1 (* (pow t 3) (- (* -1 (/ (- (/ 1 t) 2) t)) 1)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))))
(* -1 (* (pow t 3) (- (* -1 (/ (- (/ 1 t) 2) t)) 1)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) 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 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t 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 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) 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 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 (*.f64 t 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 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))

eval60.0ms (0.7%)

Compiler

Compiled 12190 to 1524 computations (87.5% saved)

prune54.0ms (0.6%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New5100510
Fresh077
Picked055
Done011
Total51013523
Accuracy
100.0%
Counts
523 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.3%
(-.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 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
▶50.7%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓73.5%
(+.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)))))
55.0%
(+.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 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))))))
▶49.6%
(+.f64 #s(literal 1/2 binary64) (-.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)))
51.5%
(+.f64 #s(literal 1/2 binary64) (*.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)))))))))
▶51.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
✓52.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))
✓51.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
▶57.8%
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
✓58.6%
#s(literal 5/6 binary64)
✓59.2%
#s(literal 1/2 binary64)
Compiler

Compiled 260 to 189 computations (27.3% saved)

simplify145.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓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 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))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (-.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)))
✓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 #s(literal -2 binary64)))
✓cost-diff0
(*.f64 t t)
✓cost-diff0
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.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 #s(literal -2 binary64)))))
✓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
2020×fmsub-define
1880×fmm-def
1730×fma-lowering-fma.f32
1730×fma-lowering-fma.f64
1616×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026169
147165
2106165
3227165
4340165
5454165
6651165
71114165
82401165
95300165
08037165
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
(+ 1/2 (* (* t t) (+ 1 (* t -2))))
1/2
(* (* t t) (+ 1 (* t -2)))
(* t t)
t
(+ 1 (* t -2))
1
(* 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
(+ 1/2 (- 1/3 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)))
1/2
(- 1/3 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t))
1/3
(/ (+ 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
(+ 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)
(*.f64 t t)
t
(+ 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)
(- 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
(+ 1/2 (- 1/3 (/ (+ 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))
1/2
#s(literal 1/2 binary64)
(- 1/3 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 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))
1/3
#s(literal 1/3 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

localize184.0ms (2%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)
✓accuracy99.6%
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)
✓accuracy99.5%
(/.f64 #s(literal -4/81 binary64) t)
✓accuracy99.3%
(+.f64 #s(literal 1/2 binary64) (-.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)))
✓accuracy100.0%
(+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))
✓accuracy99.7%
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)
✓accuracy99.6%
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) 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 #s(literal -2 binary64)))))
✓accuracy100.0%
(*.f64 t t)
✓accuracy100.0%
(*.f64 t #s(literal -2 binary64))
✓accuracy99.9%
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓accuracy99.4%
(/.f64 #s(literal -2/9 binary64) t)
✓accuracy98.4%
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
Results
120.0ms256×0valid
Compiler

Compiled 175 to 27 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
...c/correct-round.rkt:119:19: 20.0ms (36.4% of total)
ival-add: 18.0ms (32.7% of total)
ival-div: 8.0ms (14.5% of total)
ival-mult: 7.0ms (12.7% of total)
ival-sub: 2.0ms (3.6% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
16 → 180
Calls
Call 1
Inputs
#<alt (+ 1/2 1/3)>
#<alt (+ 5/6 (/ -2/9 t))>
#<alt (/ -2/9 t)>
#<alt (+ 1/2 (* (* t t) (+ 1 (* t -2))))>
#<alt (* (* t t) (+ 1 (* t -2)))>
#<alt (* t t)>
#<alt (+ 1 (* 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 (+ 1/2 (- 1/3 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)))>
#<alt (- 1/3 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t))>
#<alt (* t -2)>
#<alt (/ -4/81 t)>
#<alt (+ -1/27 (/ -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 1/2>
#<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 (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 (* -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 (/ 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 (/ 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 (/ (+ 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 (- (* 1/3 t) 2/9))))) (pow t 3))>
#<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 (* -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)>
#<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)>
#<alt (/ -4/81 t)>
#<alt (/ (- (* -1/27 t) 4/81) t)>
#<alt (/ (- (* -1/27 t) 4/81) t)>
#<alt (/ (- (* -1/27 t) 4/81) t)>
#<alt -1/27>
#<alt (* -1 (+ 1/27 (* 4/81 (/ 1 t))))>
#<alt (* -1 (+ 1/27 (* 4/81 (/ 1 t))))>
#<alt (* -1 (+ 1/27 (* 4/81 (/ 1 t))))>
#<alt -1/27>
#<alt (* -1 (+ 1/27 (* 4/81 (/ 1 t))))>
#<alt (* -1 (+ 1/27 (* 4/81 (/ 1 t))))>
#<alt (* -1 (+ 1/27 (* 4/81 (/ 1 t))))>
Calls

45 calls:

TimeVariablePointExpression
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
(- 5/6 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t))
0.0ms
t
@inf
(* (* t t) (+ 1 (* t -2)))
0.0ms
t
@inf
(* t -2)

rewrite472.0ms (5.2%)

Algorithm
1×batch-egg-rewrite
Rules
3958×/-lowering-/.f32
3958×/-lowering-/.f64
3460×*-lowering-*.f32
3460×*-lowering-*.f64
2174×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026114
1172110
21606110
08511110
Stop Event
1×iter limit
1×node limit
Counts
16 → 451
Calls
Call 1
Inputs
(+ 1/2 1/3)
(+ 5/6 (/ -2/9 t))
(/ -2/9 t)
(+ 1/2 (* (* t t) (+ 1 (* t -2))))
(* (* t t) (+ 1 (* t -2)))
(* t t)
(+ 1 (* 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)
(+ 1/2 (- 1/3 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)))
(- 1/3 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t))
(* t -2)
(/ -4/81 t)
(+ -1/27 (/ -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 (/.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))))
(-.f64 (/.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))) (/.f64 #s(literal 25/36 binary64) (-.f64 (/.f64 #s(literal -2/9 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))
(fma.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) #s(literal 5/6 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2/9 binary64) #s(literal 5/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25/36 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64)) (/.f64 t #s(literal -2/9 binary64)))) (+.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 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64)) (/.f64 t #s(literal -2/9 binary64)))))
(/.f64 (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t)))) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal -5/27 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 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64)) (/.f64 t #s(literal -2/9 binary64)))) (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (neg.f64 (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t))))) (neg.f64 (+.f64 #s(literal 25/36 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64)) (/.f64 t #s(literal -2/9 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t))))) (neg.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal -5/27 binary64) t)))))
(/.f64 (neg.f64 (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))) (neg.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal 25/36 binary64)) (-.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 25/36 binary64) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) (*.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))) (*.f64 (-.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))))
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(*.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) (*.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)))) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (/.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 1/3 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) (/.f64 t (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t))))) (/.f64 #s(literal 1 binary64) (+.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))))
(*.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))
(*.f64 (*.f64 #s(literal 1 binary64) t) #s(literal -2 binary64))
(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))
(+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))
(+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64))
(-.f64 (/.f64 #s(literal 1/729 binary64) (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))) (/.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)) (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))))
(-.f64 (/.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)) (-.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (-.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64))
(fma.f64 #s(literal -4/81 binary64) (/.f64 #s(literal 1 binary64) t) #s(literal -1/27 binary64))
(fma.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) #s(literal -1/27 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -4/81 binary64) #s(literal -1/27 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/729 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) (/.f64 t #s(literal -4/81 binary64)))) (+.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (*.f64 t (*.f64 t t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)))))
(/.f64 (+.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 1/729 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) (/.f64 t #s(literal -4/81 binary64)))))
(/.f64 (+.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (*.f64 t (*.f64 t t)))) (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)) (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 4/2187 binary64) t))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t))) (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/729 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) (/.f64 t #s(literal -4/81 binary64)))) (+.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (*.f64 t (*.f64 t t)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (*.f64 t (*.f64 t t))))) (neg.f64 (+.f64 #s(literal 1/729 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) (/.f64 t #s(literal -4/81 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (*.f64 t (*.f64 t t))))) (neg.f64 (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)) (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 4/2187 binary64) t)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)))) (neg.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))))
(/.f64 (-.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)) #s(literal 1/729 binary64)) (-.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/729 binary64) (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))) (*.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)))) (*.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (*.f64 t (*.f64 t t)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) (/.f64 t #s(literal -4/81 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t))))) (neg.f64 (neg.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)) #s(literal 1/729 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/729 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) (/.f64 t #s(literal -4/81 binary64)))) (+.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (*.f64 t (*.f64 t t))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) (/.f64 t #s(literal -4/81 binary64))))))
(*.f64 (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))))

simplify266.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
2164×*-lowering-*.f32
2164×*-lowering-*.f64
1872×--lowering--.f32
1872×--lowering--.f64
1580×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01241119
13381062
29731024
328541006
473391006
083911006
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
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)
1/2
(+ 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))))
(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 (* -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))))
(/ 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))
(/ 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))
(/ (+ 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 (- (* 1/3 t) 2/9))))) (pow t 3))
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)))
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 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)
(/ -4/81 t)
(/ (- (* -1/27 t) 4/81) t)
(/ (- (* -1/27 t) 4/81) t)
(/ (- (* -1/27 t) 4/81) t)
-1/27
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
-1/27
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
(* -1 (+ 1/27 (* 4/81 (/ 1 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)
1/2
#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))))
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eval250.0ms (2.8%)

Compiler

Compiled 21936 to 1824 computations (91.7% saved)

prune91.0ms (1%)

Pruning

13 alts after pruning (2 fresh and 11 done)

PrunedKeptTotal
New8370837
Fresh022
Picked055
Done066
Total83713850
Accuracy
100.0%
Counts
850 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.3%
(-.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 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
✓50.7%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓73.5%
(+.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)))))
▶55.0%
(+.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 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))))))
✓49.6%
(+.f64 #s(literal 1/2 binary64) (-.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)))
▶51.5%
(+.f64 #s(literal 1/2 binary64) (*.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)))))))))
✓51.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
✓52.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))
✓51.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
✓57.8%
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
✓58.6%
#s(literal 5/6 binary64)
✓59.2%
#s(literal 1/2 binary64)
Compiler

Compiled 162 to 116 computations (28.4% saved)

simplify225.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓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 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64)))))))
✓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 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))))))
✓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 t)
✓cost-diff0
(*.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))))))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.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)))))))))
Rules
4464×+-lowering-+.f64
4464×+-lowering-+.f32
3364×*-lowering-*.f32
3364×*-lowering-*.f64
2184×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027209
179180
2263179
3786179
42600179
56222179
66646179
77055179
87069179
97085179
107085179
08496179
Stop Event
1×iter limit
1×node limit
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)
t
(+ 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
(+ 1/2 (/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (* t (* t (+ 2 (* t -4)))))))
1/2
(/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (* t (* t (+ 2 (* t -4))))))
(/ (* t t) (+ 1 (* t (+ 2 t))))
(* t t)
t
(+ 1 (* t (+ 2 t)))
1
(* t (+ 2 t))
(+ 2 t)
2
(+ 1 (* t (* t (+ 2 (* t -4)))))
(* t (* t (+ 2 (* t -4))))
(* t (+ 2 (* t -4)))
(+ 2 (* 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 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)))))))))
1/2
#s(literal 1/2 binary64)
(* (* t t) (+ 1 (* t (+ -2 (* t (+ 1 (* t 4)))))))
(*.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))))))))
(* t t)
(*.f64 t t)
t
(+ 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)
(+ 1/2 (/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (* t (* t (+ 2 (* t -4)))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 binary64))))))
1/2
#s(literal 1/2 binary64)
(/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (* t (* t (+ 2 (* t -4))))))
(/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal 2 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 (* t (* t (+ 2 (* t -4)))))
(+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))))
(* t (* t (+ 2 (* t -4))))
(*.f64 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64)))))
(* t (+ 2 (* t -4)))
(*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))
(+ 2 (* t -4))
(+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64)))
(* t -4)
(*.f64 t #s(literal -4 binary64))
-4
#s(literal -4 binary64)

localize160.0ms (1.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 t (+.f64 #s(literal 2 binary64) t))
✓accuracy99.9%
(*.f64 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64)))))
✓accuracy99.6%
(/.f64 (/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t)))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64)))))))
✓accuracy74.6%
(/.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) t))))
✓accuracy100.0%
(*.f64 t #s(literal 4 binary64))
✓accuracy100.0%
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))
✓accuracy99.9%
(*.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))))))))
✓accuracy99.9%
(*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 4 binary64))))))
Results
96.0ms256×0valid
Compiler

Compiled 211 to 28 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 16.0ms (50.9% of total)
ival-add: 11.0ms (35% of total)
ival-div: 3.0ms (9.5% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
12 → 144
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 t)>
#<alt (+ 1 (* t (+ -2 (* t (+ 1 (* t 4))))))>
#<alt (+ 1/2 (/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (* t (* t (+ 2 (* t -4)))))))>
#<alt (/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (* t (* t (+ 2 (* t -4))))))>
#<alt (/ (* t t) (+ 1 (* t (+ 2 t))))>
#<alt (* t (+ -2 (* t (+ 1 (* t 4)))))>
#<alt (* t (+ 1 (* t 4)))>
#<alt (* t 4)>
#<alt (* t (* t (+ 2 (* t -4))))>
#<alt (* t (+ 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 (* 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 (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 (+ 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 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 1/2>
#<alt (- 1/2 (* 1/4 (/ 1 (pow t 3))))>
#<alt (- (+ 1/2 (/ 3/8 (pow t 4))) (* 1/4 (/ 1 (pow t 3))))>
#<alt (- (+ 1/2 (/ 3/8 (pow t 4))) (+ (* 1/4 (/ 1 (pow t 3))) (* 9/16 (/ 1 (pow t 5)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/4 (/ 1 (pow t 3))))>
#<alt (+ 1/2 (* -1 (/ (- 1/4 (* 3/8 (/ 1 t))) (pow t 3))))>
#<alt (+ 1/2 (* -1 (/ (+ 1/4 (* -1 (/ (- 3/8 (* 9/16 (/ 1 t))) t))) (pow t 3))))>
#<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 (/ -1/4 (pow t 3))>
#<alt (/ (- (* 3/8 (/ 1 t)) 1/4) (pow t 3))>
#<alt (/ (- (* 3/8 (/ 1 t)) (+ 1/4 (/ 9/16 (pow t 2)))) (pow t 3))>
#<alt (/ (- (+ (* 3/8 (/ 1 t)) (* 21/32 (/ 1 (pow t 3)))) (+ 1/4 (/ 9/16 (pow t 2)))) (pow t 3))>
#<alt (/ -1/4 (pow t 3))>
#<alt (* -1 (/ (- 1/4 (* 3/8 (/ 1 t))) (pow t 3)))>
#<alt (* -1 (/ (+ 1/4 (* -1 (/ (- 3/8 (* 9/16 (/ 1 t))) t))) (pow t 3)))>
#<alt (* -1 (/ (+ 1/4 (* -1 (/ (+ 3/8 (* -1 (/ (- 9/16 (* 21/32 (/ 1 t))) t))) t))) (pow t 3)))>
#<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 (* -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)))>
#<alt (* 4 t)>
#<alt (* 4 t)>
#<alt (* 4 t)>
#<alt (* 4 t)>
#<alt (* 4 t)>
#<alt (* 4 t)>
#<alt (* 4 t)>
#<alt (* 4 t)>
#<alt (* 4 t)>
#<alt (* 4 t)>
#<alt (* 4 t)>
#<alt (* 4 t)>
#<alt (* 2 (pow t 2))>
#<alt (* (pow t 2) (+ 2 (* -4 t)))>
#<alt (* (pow t 2) (+ 2 (* -4 t)))>
#<alt (* (pow t 2) (+ 2 (* -4 t)))>
#<alt (* -4 (pow t 3))>
#<alt (* (pow t 3) (- (* 2 (/ 1 t)) 4))>
#<alt (* (pow t 3) (- (* 2 (/ 1 t)) 4))>
#<alt (* (pow t 3) (- (* 2 (/ 1 t)) 4))>
#<alt (* -4 (pow t 3))>
#<alt (* -1 (* (pow t 3) (- 4 (* 2 (/ 1 t)))))>
#<alt (* -1 (* (pow t 3) (- 4 (* 2 (/ 1 t)))))>
#<alt (* -1 (* (pow t 3) (- 4 (* 2 (/ 1 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))))>
Calls

36 calls:

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

rewrite400.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
3846×*-lowering-*.f32
3846×*-lowering-*.f64
3644×/-lowering-/.f32
3644×/-lowering-/.f64
2398×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027146
1195125
22074124
09810124
Stop Event
1×iter limit
1×node limit
Counts
12 → 376
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 t)
(+ 1 (* t (+ -2 (* t (+ 1 (* t 4))))))
(+ 1/2 (/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (* t (* t (+ 2 (* t -4)))))))
(/ (/ (* t t) (+ 1 (* t (+ 2 t)))) (+ 1 (* t (* t (+ 2 (* t -4))))))
(/ (* t t) (+ 1 (* t (+ 2 t))))
(* t (+ -2 (* t (+ 1 (* t 4)))))
(* t (+ 1 (* t 4)))
(* t 4)
(* t (* t (+ 2 (* t -4))))
(* t (+ 2 t))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.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)))))))))
(+.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 (*.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))
(+.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 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.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)))))))))) (/.f64 (*.f64 (*.f64 t t) (*.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 (*.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)))))))))) (-.f64 #s(literal 1/2 binary64) (*.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)))))))))))
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simplify245.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
2822×*-lowering-*.f32
2822×*-lowering-*.f64
2058×+-lowering-+.f64
2058×+-lowering-+.f32
1642×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01621128
15191048
215811034
350521029
082101029
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)))))
(* 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)))
(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 (+ 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)))
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
1/2
(- 1/2 (* 1/4 (/ 1 (pow t 3))))
(- (+ 1/2 (/ 3/8 (pow t 4))) (* 1/4 (/ 1 (pow t 3))))
(- (+ 1/2 (/ 3/8 (pow t 4))) (+ (* 1/4 (/ 1 (pow t 3))) (* 9/16 (/ 1 (pow t 5)))))
1/2
(- 1/2 (* 1/4 (/ 1 (pow t 3))))
(+ 1/2 (* -1 (/ (- 1/4 (* 3/8 (/ 1 t))) (pow t 3))))
(+ 1/2 (* -1 (/ (+ 1/4 (* -1 (/ (- 3/8 (* 9/16 (/ 1 t))) t))) (pow t 3))))
(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))))
(/ -1/4 (pow t 3))
(/ (- (* 3/8 (/ 1 t)) 1/4) (pow t 3))
(/ (- (* 3/8 (/ 1 t)) (+ 1/4 (/ 9/16 (pow t 2)))) (pow t 3))
(/ (- (+ (* 3/8 (/ 1 t)) (* 21/32 (/ 1 (pow t 3)))) (+ 1/4 (/ 9/16 (pow t 2)))) (pow t 3))
(/ -1/4 (pow t 3))
(* -1 (/ (- 1/4 (* 3/8 (/ 1 t))) (pow t 3)))
(* -1 (/ (+ 1/4 (* -1 (/ (- 3/8 (* 9/16 (/ 1 t))) t))) (pow t 3)))
(* -1 (/ (+ 1/4 (* -1 (/ (+ 3/8 (* -1 (/ (- 9/16 (* 21/32 (/ 1 t))) t))) t))) (pow t 3)))
(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)))
(* -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)))
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 4 t)
(* 2 (pow t 2))
(* (pow t 2) (+ 2 (* -4 t)))
(* (pow t 2) (+ 2 (* -4 t)))
(* (pow t 2) (+ 2 (* -4 t)))
(* -4 (pow t 3))
(* (pow t 3) (- (* 2 (/ 1 t)) 4))
(* (pow t 3) (- (* 2 (/ 1 t)) 4))
(* (pow t 3) (- (* 2 (/ 1 t)) 4))
(* -4 (pow t 3))
(* -1 (* (pow t 3) (- 4 (* 2 (/ 1 t)))))
(* -1 (* (pow t 3) (- 4 (* 2 (/ 1 t)))))
(* -1 (* (pow t 3) (- 4 (* 2 (/ 1 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))))
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 (/.f64 #s(literal 1 binary64) t) (*.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) 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 (/.f64 #s(literal 1 binary64) t) (*.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) 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)
(*.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 (+ 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 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)) t)) (*.f64 t (*.f64 t t)))
(* (pow t 3) (- (+ 4 (+ (/ 1 t) (/ 1 (pow t 3)))) (/ 2 (pow t 2))))
(+.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)) t))))
(* 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 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)) t)) (*.f64 t (*.f64 t t)))
(* -1 (* (pow t 3) (- (* -1 (/ (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))) t)) 4)))
(*.f64 (*.f64 t (*.f64 t t)) (+.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)))
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)))))))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/4 (/ 1 (pow t 3))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 t (*.f64 t t))))
(- (+ 1/2 (/ 3/8 (pow t 4))) (* 1/4 (/ 1 (pow t 3))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) t) #s(literal -1/4 binary64)) (*.f64 t (*.f64 t t))))
(- (+ 1/2 (/ 3/8 (pow t 4))) (+ (* 1/4 (/ 1 (pow t 3))) (* 9/16 (/ 1 (pow t 5)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) t) #s(literal -1/4 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal -9/16 binary64) (pow.f64 t #s(literal 5 binary64)))))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/4 (/ 1 (pow t 3))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 t (*.f64 t t))))
(+ 1/2 (* -1 (/ (- 1/4 (* 3/8 (/ 1 t))) (pow t 3))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) t) #s(literal -1/4 binary64)) (*.f64 t (*.f64 t t))))
(+ 1/2 (* -1 (/ (+ 1/4 (* -1 (/ (- 3/8 (* 9/16 (/ 1 t))) t))) (pow t 3))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 9/16 binary64) t)) t) #s(literal -1/4 binary64)) (*.f64 t (*.f64 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))))))))
(/ -1/4 (pow t 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 t (*.f64 t t)))
(/ (- (* 3/8 (/ 1 t)) 1/4) (pow t 3))
(/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) t) #s(literal -1/4 binary64)) (*.f64 t (*.f64 t t)))
(/ (- (* 3/8 (/ 1 t)) (+ 1/4 (/ 9/16 (pow t 2)))) (pow t 3))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 9/16 binary64) t)) t) #s(literal -1/4 binary64)) (*.f64 t (*.f64 t t)))
(/ (- (+ (* 3/8 (/ 1 t)) (* 21/32 (/ 1 (pow t 3)))) (+ 1/4 (/ 9/16 (pow t 2)))) (pow t 3))
(/.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 9/16 binary64) t)) t) #s(literal -1/4 binary64)) (/.f64 #s(literal 21/32 binary64) (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t t)))
(/ -1/4 (pow t 3))
(/.f64 #s(literal -1/4 binary64) (*.f64 t (*.f64 t t)))
(* -1 (/ (- 1/4 (* 3/8 (/ 1 t))) (pow t 3)))
(/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) t) #s(literal -1/4 binary64)) (*.f64 t (*.f64 t t)))
(* -1 (/ (+ 1/4 (* -1 (/ (- 3/8 (* 9/16 (/ 1 t))) t))) (pow t 3)))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 9/16 binary64) t)) t) #s(literal -1/4 binary64)) (*.f64 t (*.f64 t t)))
(* -1 (/ (+ 1/4 (* -1 (/ (+ 3/8 (* -1 (/ (- 9/16 (* 21/32 (/ 1 t))) t))) t))) (pow t 3)))
(/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 (+.f64 #s(literal 9/16 binary64) (/.f64 #s(literal -21/32 binary64) t)) t)) t)) (*.f64 t (*.f64 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 t (*.f64 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 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) t)) t) t) (/.f64 #s(literal -2 binary64) 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 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) t)) t)) t))
(* -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 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)) t)) (*.f64 t (*.f64 t t)))
(* (pow t 3) (- (+ 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 t)))
(* 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 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)) t)) (*.f64 t (*.f64 t t)))
(* -1 (* (pow t 3) (- (* -1 (/ (- 1 (* 2 (/ 1 t))) t)) 4)))
(*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)) t)) (*.f64 t (*.f64 t t)))
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))))
(* 4 t)
(*.f64 t #s(literal 4 binary64))
(* 4 t)
(*.f64 t #s(literal 4 binary64))
(* 4 t)
(*.f64 t #s(literal 4 binary64))
(* 4 t)
(*.f64 t #s(literal 4 binary64))
(* 4 t)
(*.f64 t #s(literal 4 binary64))
(* 4 t)
(*.f64 t #s(literal 4 binary64))
(* 4 t)
(*.f64 t #s(literal 4 binary64))
(* 4 t)
(*.f64 t #s(literal 4 binary64))
(* 4 t)
(*.f64 t #s(literal 4 binary64))
(* 4 t)
(*.f64 t #s(literal 4 binary64))
(* 4 t)
(*.f64 t #s(literal 4 binary64))
(* 4 t)
(*.f64 t #s(literal 4 binary64))
(* 2 (pow t 2))
(*.f64 #s(literal 2 binary64) (*.f64 t t))
(* (pow t 2) (+ 2 (* -4 t)))
(*.f64 (*.f64 t t) (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))
(* (pow t 2) (+ 2 (* -4 t)))
(*.f64 (*.f64 t t) (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))
(* (pow t 2) (+ 2 (* -4 t)))
(*.f64 (*.f64 t t) (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))
(* -4 (pow t 3))
(*.f64 t (*.f64 t (*.f64 t #s(literal -4 binary64))))
(* (pow t 3) (- (* 2 (/ 1 t)) 4))
(*.f64 (*.f64 t t) (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))
(* (pow t 3) (- (* 2 (/ 1 t)) 4))
(*.f64 (*.f64 t t) (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))
(* (pow t 3) (- (* 2 (/ 1 t)) 4))
(*.f64 (*.f64 t t) (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))
(* -4 (pow t 3))
(*.f64 t (*.f64 t (*.f64 t #s(literal -4 binary64))))
(* -1 (* (pow t 3) (- 4 (* 2 (/ 1 t)))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))
(* -1 (* (pow t 3) (- 4 (* 2 (/ 1 t)))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))
(* -1 (* (pow t 3) (- 4 (* 2 (/ 1 t)))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))
(* 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 #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)))

eval332.0ms (3.7%)

Compiler

Compiled 19722 to 1838 computations (90.7% saved)

prune61.0ms (0.7%)

Pruning

13 alts after pruning (0 fresh and 13 done)

PrunedKeptTotal
New5400540
Fresh000
Picked022
Done01111
Total54013553
Accuracy
100.0%
Counts
553 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.3%
(-.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 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
✓50.7%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓73.5%
(+.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)))))
✓55.0%
(+.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 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))))))
✓49.6%
(+.f64 #s(literal 1/2 binary64) (-.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)))
✓51.5%
(+.f64 #s(literal 1/2 binary64) (*.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)))))))))
✓51.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
✓52.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))
✓51.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
✓57.8%
(+.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
✓58.6%
#s(literal 5/6 binary64)
✓59.2%
#s(literal 1/2 binary64)
Compiler

Compiled 347 to 189 computations (45.5% saved)

regimes20.0ms (0.2%)

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 (+.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 #s(literal -2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 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 #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)))
(+.f64 #s(literal 1/2 binary64) (*.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)))))))))
(+.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 t (*.f64 t (+.f64 #s(literal 2 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 (*.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)))
4.0ms
t
4.0ms
(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
4.0ms
(/.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
99.6%1t
99.6%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)))))
99.6%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)))
99.6%1(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
Compiler

Compiled 62 to 24 computations (61.3% saved)

regimes5.0ms (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 (+.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 #s(literal -2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 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 #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)))
(+.f64 #s(literal 1/2 binary64) (*.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)))))))))
(+.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 t (*.f64 t (+.f64 #s(literal 2 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 #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:

4.0ms
t
Results
AccuracySegmentsBranch
100.0%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (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 (+.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 #s(literal -2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 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 #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)))
(+.f64 #s(literal 1/2 binary64) (*.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)))))))))
(+.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 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 binary64))))))))
Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 #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 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 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))
Calls

1 calls:

7.0ms
t
Results
AccuracySegmentsBranch
99.6%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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 (+.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 #s(literal -2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 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 #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)))
(+.f64 #s(literal 1/2 binary64) (*.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)))))))))
Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (*.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)))))))))
(-.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))
Calls

1 calls:

4.0ms
t
Results
AccuracySegmentsBranch
99.6%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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 (+.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 #s(literal -2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 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 #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)))
Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 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))
Calls

1 calls:

3.0ms
t
Results
AccuracySegmentsBranch
99.5%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
t
Results
AccuracySegmentsBranch
99.4%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

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

1 calls:

8.0ms
t
Results
AccuracySegmentsBranch
99.2%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 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 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #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 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
Calls

1 calls:

2.0ms
t
Results
AccuracySegmentsBranch
98.9%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
5 → 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))
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:

2.0ms
t
Results
AccuracySegmentsBranch
98.8%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
98.4%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (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:

2.0ms
t
Results
AccuracySegmentsBranch
98.1%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
59.2%1t
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch29.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
12.0ms
112381039651.35806
3.743180456175722e+19
11.0ms
-39643446.35059903
-0.010567860524590583
Results
14.0ms192×0valid
Compiler

Compiled 468 to 280 computations (40.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (34.4% of total)
ival-add: 3.0ms (34.4% of total)
ival-mult: 3.0ms (34.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.019585056554983014
118.66005651337666
15.0ms
-39643446.35059903
-0.010567860524590583
Results
22.0ms272×0valid
Compiler

Compiled 682 to 469 computations (31.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (44.9% of total)
ival-div: 4.0ms (25.6% of total)
ival-add: 4.0ms (25.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.019585056554983014
118.66005651337666
24.0ms
-39643446.35059903
-0.010567860524590583
Results
31.0ms272×0valid
Compiler

Compiled 580 to 418 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 13.0ms (60.5% of total)
ival-div: 4.0ms (18.6% of total)
ival-add: 4.0ms (18.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.019585056554983014
118.66005651337666
19.0ms
-39643446.35059903
-0.010567860524590583
Results
23.0ms272×0valid
Compiler

Compiled 478 to 350 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 8.0ms (49.9% of total)
ival-div: 4.0ms (24.9% of total)
ival-mult: 4.0ms (24.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.019585056554983014
118.66005651337666
15.0ms
-39643446.35059903
-0.010567860524590583
Results
23.0ms272×0valid
Compiler

Compiled 446 to 326 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (33.1% of total)
ival-add: 4.0ms (33.1% of total)
ival-mult: 4.0ms (33.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.019585056554983014
118.66005651337666
19.0ms
-39643446.35059903
-0.010567860524590583
Results
23.0ms272×0valid
Compiler

Compiled 412 to 309 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 8.0ms (48.8% of total)
ival-div: 4.0ms (24.4% of total)
ival-mult: 4.0ms (24.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch70.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.019585056554983014
118.66005651337666
49.0ms
-39643446.35059903
-0.010567860524590583
Results
53.0ms272×0valid
Compiler

Compiled 310 to 224 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 38.0ms (81.9% of total)
ival-add: 4.0ms (8.6% of total)
ival-mult: 4.0ms (8.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.019585056554983014
118.66005651337666
15.0ms
-39643446.35059903
-0.010567860524590583
Results
23.0ms272×0valid
Compiler

Compiled 278 to 200 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (32.2% of total)
ival-add: 4.0ms (32.2% of total)
ival-mult: 4.0ms (32.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.019585056554983014
118.66005651337666
19.0ms
-39643446.35059903
-0.010567860524590583
Results
23.0ms272×0valid
Compiler

Compiled 210 to 149 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (49.1% of total)
ival-div: 4.0ms (24.6% of total)
ival-add: 4.0ms (24.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.019585056554983014
118.66005651337666
15.0ms
-39643446.35059903
-0.010567860524590583
Results
23.0ms272×0valid
Compiler

Compiled 142 to 115 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 8.0ms (48.4% of total)
ival-div: 4.0ms (24.2% of total)
ival-add: 4.0ms (24.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify25.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0116354
1169354
2177354
3187354
4201354
5213354
6226354
7233354
8237354
9238354
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 -20000000 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #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 -5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 6124895493223875/9007199254740992 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 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 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 -5854679515581645/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.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))))))))) (-.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 -2476979795053773/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 3242591731706757/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 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))))
(if (<=.f64 t #s(literal -2476979795053773/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #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 (+.f64 t #s(literal -2 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 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 8106479329266893/18014398509481984 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 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 -3602879701896397/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 5944751508129055/18014398509481984 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (+.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 -3602879701896397/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 5224175567749775/9007199254740992 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 -8106479329266893/9007199254740992 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 -6124895493223875/18014398509481984 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 -20000000 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #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 -5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 6124895493223875/9007199254740992 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 t (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -4 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 -5854679515581645/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.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))))))))) (-.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 -2476979795053773/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 3242591731706757/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 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))))
(if (<=.f64 t #s(literal -2476979795053773/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #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 (+.f64 t #s(literal -2 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 -2476979795053773/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #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 (+.f64 t #s(literal -2 binary64))))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))))
(if (<=.f64 t #s(literal -5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 8106479329266893/18014398509481984 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 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 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 8106479329266893/18014398509481984 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))))
(if (<=.f64 t #s(literal -3602879701896397/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 5944751508129055/18014398509481984 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (+.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 -3602879701896397/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 5944751508129055/18014398509481984 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))))
(if (<=.f64 t #s(literal -3602879701896397/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 5224175567749775/9007199254740992 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 -8106479329266893/9007199254740992 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 -6124895493223875/18014398509481984 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)

soundness2.2s (24.4%)

Rules
2782×fma-lowering-fma.f32
2782×fma-lowering-fma.f64
2430×fma-define
2394×*-lowering-*.f32
2394×*-lowering-*.f64
Iterations

Useful iterations: 12 (0.0ms)

IterNodesCost
0215953
1690868
21904832
35296832
08380832
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 527 to 244 computations (53.7% saved)

preprocess140.0ms (1.6%)

Compiler

Compiled 790 to 252 computations (68.1% saved)

end0.0ms (0%)

Profiling

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