Kahan p13 Example 3

Time bar (total: 8.0s)

analyze286.0ms (3.6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
50%50%50%0%0%0%0%6
50%50%50%0%0%0%0%7
50%50%50%0%0%0%0%8
50%50%50%0%0%0%0%9
50%50%50%0%0%0%0%10
50%50%50%0%0%0%0%11
50%50%49.9%0%0%0%0%12
Compiler

Compiled 31 to 13 computations (58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-div: 78.0ms (50.2% of total)
ival-mult: 35.0ms (22.5% of total)
ival-add: 20.0ms (12.9% of total)
ival-sub: 19.0ms (12.2% of total)
const: 3.0ms (1.9% of total)
backward-pass: 1.0ms (0.6% of total)

sample1.2s (14.6%)

Results
902.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 653.0ms
ival-div: 312.0ms (47.8% of total)
ival-sub: 110.0ms (16.8% of total)
ival-add: 109.0ms (16.7% of total)
ival-mult: 105.0ms (16.1% of total)
const: 13.0ms (2% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess273.0ms (3.4%)

Algorithm
2×egg-herbie
Rules
1822×sum5-define
1778×sum4-define
1484×+-lowering-+.f64
1484×+-lowering-+.f32
1238×fma-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02387
15275
213675
341257
4160257
5708757
01226
12425
25425
315519
462119
5283318
0821818
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))
Outputs
(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
Call 2
Inputs
(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))
(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t)))))))))
(neg (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))))))))
Outputs
(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))
(+ 1 (recip (fnmsub (+ 2 (/ 2 (- -1 t))) (+ 2 (/ 2 (- -1 t))) 2)))
(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t)))))))))
(+ 1 (recip (fnmsub (+ 2 (/ 2 (+ t -1))) (+ 2 (/ 2 (+ t -1))) 2)))
(neg (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))))))))
(+ (recip (fma (+ 2 (/ 2 (+ t -1))) (+ 2 (/ 2 (+ t -1))) 2)) -1)

explain215.0ms (2.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-0-(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
00-0-(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
00-0-(/.f64 #s(literal 1 binary64) t)
00-0-(+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))
00-0-#s(literal 2 binary64)
00-0-(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))
00-0-(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))
00-0-#s(literal 1 binary64)
00-0-t
00-0-(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
00-0-(/.f64 #s(literal 2 binary64) t)
00-0-(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
Results
50.0ms166×1valid
33.0ms82×2valid
32.0ms264×0valid
Compiler

Compiled 310 to 38 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-div: 28.0ms (43.3% of total)
ival-add: 10.0ms (15.5% of total)
ival-mult: 9.0ms (13.9% of total)
backward-pass: 8.0ms (12.4% of total)
ival-sub: 8.0ms (12.4% of total)
const: 1.0ms (1.5% of total)

eval0.0ms (0%)

Compiler

Compiled 20 to 15 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))
▶100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
Compiler

Compiled 50 to 27 computations (46% saved)

simplify157.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff640
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
✓cost-diff768
(+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))
✓cost-diff768
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
✓cost-diff768
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)))
✓cost-diff128
(+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
Rules
1822×sum5-define
1794×sum4-define
1394×*-lowering-*.f32
1394×*-lowering-*.f64
1368×+-lowering-+.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024204
152198
2126192
3255171
4801171
53106163
08224163
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))
1
(/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))))
(+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))
-6
(* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))
(/ 2 (+ 1 t))
2
(+ 1 t)
t
(+ (/ 2 (- -1 t)) 4)
(/ 2 (- -1 t))
(- -1 t)
-1
4
(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))
1
(/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))
(+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))
2
(* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
(/ (/ 2 t) (+ 1 (/ 1 t)))
(/ 2 t)
t
(+ 1 (/ 1 t))
(/ 1 t)
Outputs
(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))))
1
#s(literal 1 binary64)
(/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t))))
(+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))
(+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))
-6
#s(literal -6 binary64)
(* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t))
(/ 2 (+ 1 t))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t))
2
#s(literal 2 binary64)
(+ 1 t)
(+.f64 #s(literal 1 binary64) t)
t
(+ (/ 2 (- -1 t)) 4)
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)))
(/ 2 (- -1 t))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t))
(- -1 t)
(-.f64 #s(literal -1 binary64) t)
-1
#s(literal -1 binary64)
4
#s(literal 4 binary64)
(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))))
1
#s(literal 1 binary64)
(/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t))))
(+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))
(-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))
2
#s(literal 2 binary64)
(* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)))
(/ (/ 2 t) (+ 1 (/ 1 t)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t))
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
t
(+ 1 (/ 1 t))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)

localize197.0ms (2.5%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
✓accuracy53.6%
(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)))))
✓accuracy100.0%
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)))
Results
67.0ms83×1valid
42.0ms132×0valid
34.0ms41×2valid
Compiler

Compiled 233 to 25 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-sub: 25.0ms (27.2% of total)
backward-pass: 20.0ms (21.8% of total)
ival-add: 20.0ms (21.8% of total)
ival-div: 19.0ms (20.7% of total)
ival-mult: 7.0ms (7.6% of total)
const: 1.0ms (1.1% of total)

series6.0ms (0.1%)

Counts
11 → 132
Calls
Call 1
Inputs
#<alt (+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))>
#<alt (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))))>
#<alt (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))>
#<alt (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))>
#<alt (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))>
#<alt (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))>
#<alt (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))>
#<alt (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))>
#<alt (+ (/ 2 (- -1 t)) 4)>
#<alt (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))>
#<alt (/ (/ 2 t) (+ 1 (/ 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 -1/2>
#<alt (- (pow t 2) 1/2)>
#<alt (- (* (pow t 2) (+ 1 (* -2 t))) 1/2)>
#<alt (- (* (pow t 2) (+ 1 (* t (- t 2)))) 1/2)>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 2/9 (/ 1 t))))>
#<alt (- (/ 1/27 (pow t 2)) (+ 1/6 (* 2/9 (/ 1 t))))>
#<alt (- (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3)))) (+ 1/6 (* 2/9 (/ 1 t))))>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 2/9 (/ 1 t))))>
#<alt (- (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) 1/6)>
#<alt (- (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) 1/6)>
#<alt -2>
#<alt (- (* -4 (pow t 2)) 2)>
#<alt (- (* (pow t 2) (- (* 8 t) 4)) 2)>
#<alt (- (* (pow t 2) (- (* t (+ 8 (* -12 t))) 4)) 2)>
#<alt -6>
#<alt (- (* 8 (/ 1 t)) 6)>
#<alt (- (* 8 (/ 1 t)) (+ 6 (/ 12 (pow t 2))))>
#<alt (- (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))) (+ 6 (/ 12 (pow t 2))))>
#<alt -6>
#<alt (- (* 8 (/ 1 t)) 6)>
#<alt (- (* -1 (/ (- (* 12 (/ 1 t)) 8) t)) 6)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 t)) 12) t)) 8) t)) 6)>
#<alt 4>
#<alt (+ 4 (* -4 (pow t 2)))>
#<alt (+ 4 (* (pow t 2) (- (* 8 t) 4)))>
#<alt (+ 4 (* (pow t 2) (- (* t (+ 8 (* -12 t))) 4)))>
#<alt (/ 8 t)>
#<alt (/ (- 8 (* 12 (/ 1 t))) t)>
#<alt (/ (- (+ 8 (/ 16 (pow t 2))) (* 12 (/ 1 t))) t)>
#<alt (/ (- (+ 8 (/ 16 (pow t 2))) (+ (* 12 (/ 1 t)) (* 20 (/ 1 (pow t 3))))) t)>
#<alt (/ 8 t)>
#<alt (* -1 (/ (- (* 12 (/ 1 t)) 8) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 t)) 12) t)) 8) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 t)) 16) t)) 12) t)) 8) 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 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 1/2>
#<alt (+ 1/2 (* -1 (pow t 2)))>
#<alt (+ 1/2 (* (pow t 2) (- (* 2 t) 1)))>
#<alt (+ 1/2 (* (pow t 2) (- (* t (+ 2 (* -1 t))) 1)))>
#<alt 1/6>
#<alt (+ 1/6 (* 2/9 (/ 1 t)))>
#<alt (- (+ 1/6 (* 2/9 (/ 1 t))) (/ 1/27 (pow t 2)))>
#<alt (+ 1/6 (+ (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) (pow t 2))) (* 2/9 (/ 1 t))))>
#<alt 1/6>
#<alt (+ 1/6 (* 2/9 (/ 1 t)))>
#<alt (+ 1/6 (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)))>
#<alt (+ 1/6 (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) 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 (* 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 (* 2 t))>
#<alt (+ 2 (* t (+ 2 (* -2 t))))>
#<alt (+ 2 (* t (+ 2 (* t (- (* 2 t) 2)))))>
#<alt 4>
#<alt (- 4 (* 2 (/ 1 t)))>
#<alt (- (+ 4 (/ 2 (pow t 2))) (* 2 (/ 1 t)))>
#<alt (- (+ 4 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))>
#<alt 4>
#<alt (- 4 (* 2 (/ 1 t)))>
#<alt (+ 4 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))>
#<alt (+ 4 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 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)))>
#<alt 2>
#<alt (+ 2 (* -2 t))>
#<alt (+ 2 (* t (- (* 2 t) 2)))>
#<alt (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2)))>
#<alt (/ 2 t)>
#<alt (/ (- 2 (* 2 (/ 1 t))) t)>
#<alt (/ (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))) t)>
#<alt (/ (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) t)>
#<alt (/ 2 t)>
#<alt (* -1 (/ (- (* 2 (/ 1 t)) 2) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 2) t))>
Calls

33 calls:

TimeVariablePointExpression
0.0ms
t
@0
(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))
0.0ms
t
@-inf
(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))
0.0ms
t
@-inf
(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))
0.0ms
t
@inf
(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))
0.0ms
t
@-inf
(+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))

rewrite384.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
4246×*-lowering-*.f32
4246×*-lowering-*.f64
3444×/-lowering-/.f32
3444×/-lowering-/.f64
1868×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024145
1199142
21974141
08369141
Stop Event
1×iter limit
1×node limit
Counts
11 → 463
Calls
Call 1
Inputs
(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))
(/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))))
(+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))
(* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))
(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))
(/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))
(+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))
(* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))
(+ (/ 2 (- -1 t)) 4)
(- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))
(/ (/ 2 t) (+ 1 (/ 1 t)))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -216 binary64) (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))) (+.f64 #s(literal 36 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))) #s(literal -6 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 36 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)))))) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))) (*.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))) (*.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))) (*.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))) (*.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64)))) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) t) #s(literal -2 binary64))))))))
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(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))
(pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 2 binary64) t))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 2 binary64) t)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 2 binary64) t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 2 binary64) t))))
(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (/.f64 #s(literal 2 binary64) t) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) t)))))
(/.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
(/.f64 #s(literal -2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 0 binary64) t)))
(/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) t))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (/.f64 t #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) t)
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) t)
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 2 binary64) t)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 t #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 2 binary64) t)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
(*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
(*.f64 (/.f64 #s(literal -2 binary64) t) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) t)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (/.f64 #s(literal 2 binary64) t))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) t)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))

simplify285.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
2856×fma-lowering-fma.f32
2856×fma-lowering-fma.f64
2062×sum3-define
1970×fmsub-define
1910×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02361114
1760983
22051951
35382950
08638950
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 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)))
-1/2
(- (pow t 2) 1/2)
(- (* (pow t 2) (+ 1 (* -2 t))) 1/2)
(- (* (pow t 2) (+ 1 (* t (- t 2)))) 1/2)
-1/6
(* -1 (+ 1/6 (* 2/9 (/ 1 t))))
(- (/ 1/27 (pow t 2)) (+ 1/6 (* 2/9 (/ 1 t))))
(- (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3)))) (+ 1/6 (* 2/9 (/ 1 t))))
-1/6
(* -1 (+ 1/6 (* 2/9 (/ 1 t))))
(- (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) 1/6)
(- (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) 1/6)
-2
(- (* -4 (pow t 2)) 2)
(- (* (pow t 2) (- (* 8 t) 4)) 2)
(- (* (pow t 2) (- (* t (+ 8 (* -12 t))) 4)) 2)
-6
(- (* 8 (/ 1 t)) 6)
(- (* 8 (/ 1 t)) (+ 6 (/ 12 (pow t 2))))
(- (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))) (+ 6 (/ 12 (pow t 2))))
-6
(- (* 8 (/ 1 t)) 6)
(- (* -1 (/ (- (* 12 (/ 1 t)) 8) t)) 6)
(- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 t)) 12) t)) 8) t)) 6)
4
(+ 4 (* -4 (pow t 2)))
(+ 4 (* (pow t 2) (- (* 8 t) 4)))
(+ 4 (* (pow t 2) (- (* t (+ 8 (* -12 t))) 4)))
(/ 8 t)
(/ (- 8 (* 12 (/ 1 t))) t)
(/ (- (+ 8 (/ 16 (pow t 2))) (* 12 (/ 1 t))) t)
(/ (- (+ 8 (/ 16 (pow t 2))) (+ (* 12 (/ 1 t)) (* 20 (/ 1 (pow t 3))))) t)
(/ 8 t)
(* -1 (/ (- (* 12 (/ 1 t)) 8) t))
(* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 t)) 12) t)) 8) t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 t)) 16) t)) 12) t)) 8) 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)))))
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)))
1/2
(+ 1/2 (* -1 (pow t 2)))
(+ 1/2 (* (pow t 2) (- (* 2 t) 1)))
(+ 1/2 (* (pow t 2) (- (* t (+ 2 (* -1 t))) 1)))
1/6
(+ 1/6 (* 2/9 (/ 1 t)))
(- (+ 1/6 (* 2/9 (/ 1 t))) (/ 1/27 (pow t 2)))
(+ 1/6 (+ (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) (pow t 2))) (* 2/9 (/ 1 t))))
1/6
(+ 1/6 (* 2/9 (/ 1 t)))
(+ 1/6 (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)))
(+ 1/6 (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) 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)))
(* 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 (* 2 t))
(+ 2 (* t (+ 2 (* -2 t))))
(+ 2 (* t (+ 2 (* t (- (* 2 t) 2)))))
4
(- 4 (* 2 (/ 1 t)))
(- (+ 4 (/ 2 (pow t 2))) (* 2 (/ 1 t)))
(- (+ 4 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))
4
(- 4 (* 2 (/ 1 t)))
(+ 4 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))
(+ 4 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 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)))
2
(+ 2 (* -2 t))
(+ 2 (* t (- (* 2 t) 2)))
(+ 2 (* t (- (* t (+ 2 (* -2 t))) 2)))
(/ 2 t)
(/ (- 2 (* 2 (/ 1 t))) t)
(/ (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))) t)
(/ (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) t)
(/ 2 t)
(* -1 (/ (- (* 2 (/ 1 t)) 2) t))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 2) t))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
(+.f64 (/.f64 (/.f64 #s(literal 4/81 binary64) t) (*.f64 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
#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))
-1/2
#s(literal -1/2 binary64)
(- (pow t 2) 1/2)
(+.f64 (*.f64 t t) #s(literal -1/2 binary64))
(- (* (pow t 2) (+ 1 (* -2 t))) 1/2)
(+.f64 (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(- (* (pow t 2) (+ 1 (* t (- t 2)))) 1/2)
(+.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal -1/2 binary64))
-1/6
#s(literal -1/6 binary64)
(* -1 (+ 1/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (/ 1/27 (pow t 2)) (+ 1/6 (* 2/9 (/ 1 t))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal -1/6 binary64))
(- (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3)))) (+ 1/6 (* 2/9 (/ 1 t))))
(+.f64 (/.f64 (/.f64 #s(literal 4/81 binary64) t) (*.f64 t t)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* -1 (+ 1/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) 1/6)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal -1/6 binary64))
(- (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) 1/6)
(-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
-2
#s(literal -2 binary64)
(- (* -4 (pow t 2)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 t t) #s(literal -4 binary64)))
(- (* (pow t 2) (- (* 8 t) 4)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal -4 binary64) (*.f64 t #s(literal 8 binary64))))))
(- (* (pow t 2) (- (* t (+ 8 (* -12 t))) 4)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal -4 binary64) (*.f64 t (+.f64 #s(literal 8 binary64) (*.f64 t #s(literal -12 binary64)))))))
-6
#s(literal -6 binary64)
(- (* 8 (/ 1 t)) 6)
(+.f64 (/.f64 #s(literal 8 binary64) t) #s(literal -6 binary64))
(- (* 8 (/ 1 t)) (+ 6 (/ 12 (pow t 2))))
(+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -12 binary64) t)) t) #s(literal -6 binary64))
(- (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))) (+ 6 (/ 12 (pow t 2))))
(+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 16 binary64) t)) t)) t) #s(literal -6 binary64))
-6
#s(literal -6 binary64)
(- (* 8 (/ 1 t)) 6)
(+.f64 (/.f64 #s(literal 8 binary64) t) #s(literal -6 binary64))
(- (* -1 (/ (- (* 12 (/ 1 t)) 8) t)) 6)
(+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -12 binary64) t)) t) #s(literal -6 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 t)) 12) t)) 8) t)) 6)
(+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 16 binary64) t)) t)) t) #s(literal -6 binary64))
4
#s(literal 4 binary64)
(+ 4 (* -4 (pow t 2)))
(+.f64 (*.f64 (*.f64 t t) #s(literal -4 binary64)) #s(literal 4 binary64))
(+ 4 (* (pow t 2) (- (* 8 t) 4)))
(+.f64 #s(literal 4 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal -4 binary64) (*.f64 t #s(literal 8 binary64))))))
(+ 4 (* (pow t 2) (- (* t (+ 8 (* -12 t))) 4)))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal -4 binary64) (*.f64 t (+.f64 #s(literal 8 binary64) (*.f64 t #s(literal -12 binary64)))))))
(/ 8 t)
(/.f64 #s(literal 8 binary64) t)
(/ (- 8 (* 12 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -12 binary64) t)) t)
(/ (- (+ 8 (/ 16 (pow t 2))) (* 12 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 16 binary64) t)) t)) t)
(/ (- (+ 8 (/ 16 (pow t 2))) (+ (* 12 (/ 1 t)) (* 20 (/ 1 (pow t 3))))) t)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 16 binary64) t)) t) (+.f64 #s(literal 8 binary64) (/.f64 (/.f64 #s(literal -20 binary64) t) (*.f64 t t)))) t)
(/ 8 t)
(/.f64 #s(literal 8 binary64) t)
(* -1 (/ (- (* 12 (/ 1 t)) 8) t))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -12 binary64) t)) t)
(* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 t)) 12) t)) 8) t))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 16 binary64) t)) t)) t)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 t)) 16) t)) 12) t)) 8) t))
(/.f64 (-.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -20 binary64) t)) t)) t)) (-.f64 #s(literal 0 binary64) t))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
(+.f64 (/.f64 (/.f64 #s(literal 4/81 binary64) t) (*.f64 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
#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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 (pow t 2)))
(-.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (- (* 2 t) 1)))
(+.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) (- (* t (+ 2 (* -1 t))) 1)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal -1 binary64) (*.f64 t (-.f64 #s(literal 2 binary64) t)))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(- (+ 1/6 (* 2/9 (/ 1 t))) (/ 1/27 (pow t 2)))
(+.f64 (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) #s(literal 1/6 binary64))
(+ 1/6 (+ (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) (pow t 2))) (* 2/9 (/ 1 t))))
(+.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(+ 1/6 (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t)))
(+.f64 (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) #s(literal 1/6 binary64))
(+ 1/6 (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t)))
(+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (+.f64 (/.f64 #s(literal -1/27 binary64) t) (/.f64 #s(literal -4/81 binary64) (*.f64 t 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 t (*.f64 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 (/.f64 #s(literal 12 binary64) t) #s(literal -8 binary64)) t))
(- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 16 binary64) t)) 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 (/.f64 #s(literal 12 binary64) t) #s(literal -8 binary64)) t))
(+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 16 binary64) t)) t)) t))
(* 4 (pow t 2))
(*.f64 (*.f64 t t) #s(literal 4 binary64))
(* (pow t 2) (+ 4 (* -8 t)))
(*.f64 t (*.f64 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 (/.f64 #s(literal 12 binary64) t) #s(literal -8 binary64)) t))
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 16 binary64) t)) 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 (/.f64 #s(literal 12 binary64) t) #s(literal -8 binary64)) t))
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 16 binary64) t)) t)) t))
2
#s(literal 2 binary64)
(+ 2 (* 2 t))
(+.f64 #s(literal 2 binary64) (*.f64 t #s(literal 2 binary64)))
(+ 2 (* t (+ 2 (* -2 t))))
(+.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -2 binary64)))))
(+ 2 (* t (+ 2 (* t (- (* 2 t) 2)))))
(+.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)))))))
4
#s(literal 4 binary64)
(- 4 (* 2 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t))
(- (+ 4 (/ 2 (pow t 2))) (* 2 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t))
(- (+ 4 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t)) t))
4
#s(literal 4 binary64)
(- 4 (* 2 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t))
(+ 4 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t))
(+ 4 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t)) t))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* t (+ 2 (* -2 t)))
(*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -2 binary64))))
(* t (+ 2 (* t (- (* 2 t) 2))))
(*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t #s(literal 2 binary64))))))
(* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))))
(*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -2 binary64))))))))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 t)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t))
(- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t))
(- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t)) t))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 t)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t))
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t)) t))
2
#s(literal 2 binary64)
(+ 2 (* -2 t))
(+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 2 (* t (- (* 2 t) 2)))
(+.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t #s(literal 2 binary64)))))
(+ 2 (* t (- (* t (+ 2 (* -2 t))) 2)))
(+.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -2 binary64)))))))
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ (- 2 (* 2 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t)
(/ (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)) t)
(/ (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) t)
(/.f64 (+.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)) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(* -1 (/ (- (* 2 (/ 1 t)) 2) t))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)) t)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 2) t))
(/.f64 (+.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)) t)

eval96.0ms (1.2%)

Compiler

Compiled 25770 to 3237 computations (87.4% saved)

prune75.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New6708678
Fresh000
Picked112
Done000
Total6719680
Accuracy
100.0%
Counts
680 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶59.1%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))))
51.1%
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
✓100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
▶51.1%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
▶51.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
50.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
51.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
▶59.2%
#s(literal 5/6 binary64)
▶59.5%
#s(literal 1/2 binary64)
Compiler

Compiled 140 to 109 computations (22.1% saved)

simplify187.0ms (2.3%)

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 t)
✓cost-diff0
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓cost-diff0
(/.f64 #s(literal -8 binary64) t)
✓cost-diff0
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))))
✓cost-diff0
(/.f64 #s(literal -2/9 binary64) t)
✓cost-diff0
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
Rules
2492×sum5-define
2332×sum3-define
2138×sum4-define
1948×fma-define
1510×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02085
14481
211981
332981
469581
592881
6100981
7103881
8107381
9108881
10118281
11318681
12467881
13615181
14756381
0803981
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
1/2
5/6
(+ 5/6 (/ -2/9 t))
5/6
(/ -2/9 t)
-2/9
t
(- 1 (/ 1 (+ 6 (/ -8 t))))
1
(/ 1 (+ 6 (/ -8 t)))
(+ 6 (/ -8 t))
6
(/ -8 t)
-8
t
(+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))
1/2
(* (* t t) (+ 1 (* t (+ t -2))))
(* t t)
t
(+ 1 (* t (+ t -2)))
1
(* t (+ t -2))
(+ t -2)
-2
Outputs
1/2
#s(literal 1/2 binary64)
5/6
#s(literal 5/6 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 (/ 1 (+ 6 (/ -8 t))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 8 binary64) t))))
1
#s(literal 1 binary64)
(/ 1 (+ 6 (/ -8 t)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t)))
(+ 6 (/ -8 t))
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))
6
#s(literal 6 binary64)
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
-8
#s(literal -8 binary64)
t
(+ 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)
(*.f64 t t)
t
(+ 1 (* t (+ t -2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(* t (+ t -2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(+ t -2)
(+.f64 t #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize78.0ms (1%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓accuracy100.0%
(*.f64 t t)
✓accuracy100.0%
(*.f64 t (+.f64 t #s(literal -2 binary64)))
✓accuracy99.9%
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
✓accuracy100.0%
(/.f64 #s(literal -8 binary64) t)
✓accuracy100.0%
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t)))
✓accuracy100.0%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓accuracy99.5%
(/.f64 #s(literal -2/9 binary64) t)
Results
53.0ms256×0valid
Compiler

Compiled 89 to 21 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 7.0ms (24.1% of total)
ival-mult: 7.0ms (24.1% of total)
...c/correct-round.rkt:119:19: 7.0ms (24.1% of total)
ival-add: 6.0ms (20.7% of total)
ival-sub: 1.0ms (3.4% of total)
const: 1.0ms (3.4% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
11 → 132
Calls
Call 1
Inputs
#<alt (+ 5/6 (/ -2/9 t))>
#<alt (/ -2/9 t)>
#<alt (- 1 (/ 1 (+ 6 (/ -8 t))))>
#<alt (/ 1 (+ 6 (/ -8 t)))>
#<alt (+ 6 (/ -8 t))>
#<alt (/ -8 t)>
#<alt (+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))>
#<alt (* (* t t) (+ 1 (* t (+ t -2))))>
#<alt (* t t)>
#<alt (+ 1 (* t (+ t -2)))>
#<alt (* t (+ t -2))>
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>
#<alt (+ 1 (* 1/8 t))>
#<alt (+ 1 (* t (+ 1/8 (* 3/32 t))))>
#<alt (+ 1 (* t (+ 1/8 (* t (+ 3/32 (* 9/128 t))))))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* 8/27 (/ 1 t))) t)))>
#<alt (- (+ 5/6 (* -1 (/ (+ 8/27 (* 32/81 (/ 1 t))) (pow t 2)))) (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* 8/27 (/ 1 t))) t)))>
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (+ (/ 32/81 (pow t 2)) (* 8/27 (/ 1 t)))) t)))>
#<alt (* -1/8 t)>
#<alt (* t (- (* -3/32 t) 1/8))>
#<alt (* t (- (* t (- (* -9/128 t) 3/32)) 1/8))>
#<alt (* t (- (* t (- (* t (- (* -27/512 t) 9/128)) 3/32)) 1/8))>
#<alt 1/6>
#<alt (+ 1/6 (* 2/9 (/ 1 t)))>
#<alt (+ 1/6 (+ (/ 8/27 (pow t 2)) (* 2/9 (/ 1 t))))>
#<alt (+ 1/6 (+ (/ 8/27 (pow t 2)) (+ (* 2/9 (/ 1 t)) (* 32/81 (/ 1 (pow t 3))))))>
#<alt 1/6>
#<alt (+ 1/6 (* 2/9 (/ 1 t)))>
#<alt (+ 1/6 (+ (/ 8/27 (pow t 2)) (* 2/9 (/ 1 t))))>
#<alt (+ 1/6 (* -1 (/ (- (* -1 (/ (+ 8/27 (* 32/81 (/ 1 t))) t)) 2/9) t)))>
#<alt (/ -8 t)>
#<alt (/ (- (* 6 t) 8) t)>
#<alt (/ (- (* 6 t) 8) t)>
#<alt (/ (- (* 6 t) 8) t)>
#<alt 6>
#<alt (- 6 (* 8 (/ 1 t)))>
#<alt (- 6 (* 8 (/ 1 t)))>
#<alt (- 6 (* 8 (/ 1 t)))>
#<alt 6>
#<alt (- 6 (* 8 (/ 1 t)))>
#<alt (- 6 (* 8 (/ 1 t)))>
#<alt (- 6 (* 8 (/ 1 t)))>
#<alt (/ -8 t)>
#<alt (/ -8 t)>
#<alt (/ -8 t)>
#<alt (/ -8 t)>
#<alt (/ -8 t)>
#<alt (/ -8 t)>
#<alt (/ -8 t)>
#<alt (/ -8 t)>
#<alt (/ -8 t)>
#<alt (/ -8 t)>
#<alt (/ -8 t)>
#<alt (/ -8 t)>
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* t (- t 2))))>
#<alt (* (pow t 2) (+ 1 (* t (- t 2))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt 1>
#<alt (+ 1 (* -2 t))>
#<alt (+ 1 (* t (- t 2)))>
#<alt (+ 1 (* t (- t 2)))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* -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
@0
(+ 6 (/ -8 t))
0.0ms
t
@0
(+ 5/6 (/ -2/9 t))
0.0ms
t
@inf
(+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))
0.0ms
t
@0
(/ -8 t)
0.0ms
t
@0
(/ -2/9 t)

rewrite331.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
3744×/-lowering-/.f32
3744×/-lowering-/.f64
2770×*-lowering-*.f32
2770×*-lowering-*.f64
2002×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02069
114465
2126965
0826665
Stop Event
1×iter limit
1×node limit
Counts
11 → 353
Calls
Call 1
Inputs
(+ 5/6 (/ -2/9 t))
(/ -2/9 t)
(- 1 (/ 1 (+ 6 (/ -8 t))))
(/ 1 (+ 6 (/ -8 t)))
(+ 6 (/ -8 t))
(/ -8 t)
(+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))
(* (* t t) (+ 1 (* t (+ t -2))))
(* t t)
(+ 1 (* t (+ t -2)))
(* t (+ t -2))
Outputs
(+.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))) (neg.f64 (/.f64 (/.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 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
(-.f64 (/.f64 #s(literal 25/36 binary64) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) (/.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(-.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) 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 #s(literal 1 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))))
(/.f64 (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 25/36 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2/9 binary64) (/.f64 t #s(literal -2/9 binary64))) #s(literal -5/27 binary64)) t)))
(/.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 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 25/36 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2/9 binary64) (/.f64 t #s(literal -2/9 binary64))) #s(literal -5/27 binary64)) t))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.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 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (-.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))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 25/36 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2/9 binary64) (/.f64 t #s(literal -2/9 binary64))) #s(literal -5/27 binary64)) t)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 25/36 binary64) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 25/36 binary64) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) (/.f64 #s(literal 25/36 binary64) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) (/.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))) (*.f64 (/.f64 #s(literal 25/36 binary64) (-.f64 #s(literal 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 (/.f64 #s(literal 25/36 binary64) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) (/.f64 #s(literal 25/36 binary64) (-.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 #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 #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)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))
(*.f64 (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 25/36 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2/9 binary64) (/.f64 t #s(literal -2/9 binary64))) #s(literal -5/27 binary64)) t))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 t t) #s(literal 4 binary64)) (*.f64 t #s(literal -2 binary64))) (*.f64 t (+.f64 #s(literal -8 binary64) (*.f64 t (*.f64 t t))))))
(/.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 (*.f64 t t) #s(literal 4 binary64)) (*.f64 t #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 t (*.f64 t t))) 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 (*.f64 t t)) (*.f64 t (*.f64 t t))) (*.f64 #s(literal -8 binary64) (*.f64 t (*.f64 t t)))) (+.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 (*.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 t #s(literal -2 binary64))) (*.f64 (*.f64 t t) (*.f64 t #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 t #s(literal -2 binary64)))) (-.f64 (*.f64 t t) (*.f64 t #s(literal -2 binary64))))
(/.f64 (*.f64 t (+.f64 #s(literal -8 binary64) (*.f64 t (*.f64 t t)))) (-.f64 (+.f64 (*.f64 t t) #s(literal 4 binary64)) (*.f64 t #s(literal -2 binary64))))
(/.f64 (*.f64 t (+.f64 (*.f64 t t) #s(literal -4 binary64))) (+.f64 t #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 t (*.f64 t t))) t) (-.f64 (+.f64 (*.f64 t t) #s(literal 4 binary64)) (*.f64 t #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 t t) #s(literal -4 binary64)) t) (+.f64 t #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) (*.f64 #s(literal -8 binary64) (*.f64 t (*.f64 t t))))) (neg.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 (*.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 t #s(literal -2 binary64))) (*.f64 (*.f64 t t) (*.f64 t #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 t #s(literal -2 binary64))))) (neg.f64 (-.f64 (*.f64 t t) (*.f64 t #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 t (+.f64 #s(literal -8 binary64) (*.f64 t (*.f64 t t))))) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (*.f64 t t) #s(literal 4 binary64)) (*.f64 t #s(literal -2 binary64)))))
(/.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 #s(literal -8 binary64) (*.f64 t (*.f64 t t))) t)) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (*.f64 t t) #s(literal 4 binary64)) (*.f64 t #s(literal -2 binary64)))))
(/.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 #s(literal -8 binary64) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t)))) (+.f64 (*.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 t #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 t t)))))
(/.f64 (-.f64 (*.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 t #s(literal -2 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 (*.f64 t t)) (*.f64 t (*.f64 t t))) (*.f64 #s(literal -8 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 (*.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 t #s(literal -2 binary64))) (*.f64 (*.f64 t t) (*.f64 t #s(literal -2 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t #s(literal -2 binary64)) (*.f64 t #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 t #s(literal -2 binary64)))))
(*.f64 (*.f64 t (+.f64 #s(literal -8 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 t t) #s(literal 4 binary64)) (*.f64 t #s(literal -2 binary64)))))
(*.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 #s(literal -8 binary64) (*.f64 t (*.f64 t t))) t) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 t t) #s(literal 4 binary64)) (*.f64 t #s(literal -2 binary64)))))
(*.f64 (*.f64 (+.f64 (*.f64 t t) #s(literal -4 binary64)) t) (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal 2 binary64))))

simplify235.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
2438×fma-lowering-fma.f32
2438×fma-lowering-fma.f64
2022×fma-define
2008×sum4-define
1850×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0140817
1383775
2998745
32433697
46105697
08377697
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
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
(+ 1 (* 1/8 t))
(+ 1 (* t (+ 1/8 (* 3/32 t))))
(+ 1 (* t (+ 1/8 (* t (+ 3/32 (* 9/128 t))))))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* 8/27 (/ 1 t))) t)))
(- (+ 5/6 (* -1 (/ (+ 8/27 (* 32/81 (/ 1 t))) (pow t 2)))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* 8/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (+ (/ 32/81 (pow t 2)) (* 8/27 (/ 1 t)))) t)))
(* -1/8 t)
(* t (- (* -3/32 t) 1/8))
(* t (- (* t (- (* -9/128 t) 3/32)) 1/8))
(* t (- (* t (- (* t (- (* -27/512 t) 9/128)) 3/32)) 1/8))
1/6
(+ 1/6 (* 2/9 (/ 1 t)))
(+ 1/6 (+ (/ 8/27 (pow t 2)) (* 2/9 (/ 1 t))))
(+ 1/6 (+ (/ 8/27 (pow t 2)) (+ (* 2/9 (/ 1 t)) (* 32/81 (/ 1 (pow t 3))))))
1/6
(+ 1/6 (* 2/9 (/ 1 t)))
(+ 1/6 (+ (/ 8/27 (pow t 2)) (* 2/9 (/ 1 t))))
(+ 1/6 (* -1 (/ (- (* -1 (/ (+ 8/27 (* 32/81 (/ 1 t))) t)) 2/9) t)))
(/ -8 t)
(/ (- (* 6 t) 8) t)
(/ (- (* 6 t) 8) t)
(/ (- (* 6 t) 8) t)
6
(- 6 (* 8 (/ 1 t)))
(- 6 (* 8 (/ 1 t)))
(- 6 (* 8 (/ 1 t)))
6
(- 6 (* 8 (/ 1 t)))
(- 6 (* 8 (/ 1 t)))
(- 6 (* 8 (/ 1 t)))
(/ -8 t)
(/ -8 t)
(/ -8 t)
(/ -8 t)
(/ -8 t)
(/ -8 t)
(/ -8 t)
(/ -8 t)
(/ -8 t)
(/ -8 t)
(/ -8 t)
(/ -8 t)
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))
(pow t 2)
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* t (- t 2))))
(* (pow t 2) (+ 1 (* t (- t 2))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
1
(+ 1 (* -2 t))
(+ 1 (* t (- t 2)))
(+ 1 (* t (- t 2)))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* -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
(/ -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
#s(literal 1 binary64)
(+ 1 (* 1/8 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))
(+ 1 (* t (+ 1/8 (* 3/32 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 1/8 binary64) (*.f64 t #s(literal 3/32 binary64)))))
(+ 1 (* t (+ 1/8 (* t (+ 3/32 (* 9/128 t))))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 1/8 binary64) (*.f64 t (+.f64 #s(literal 3/32 binary64) (*.f64 t #s(literal 9/128 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 (/ (+ 2/9 (* 8/27 (/ 1 t))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal -8/27 binary64) t)) t))
(- (+ 5/6 (* -1 (/ (+ 8/27 (* 32/81 (/ 1 t))) (pow t 2)))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal 8/27 binary64) (/.f64 #s(literal 32/81 binary64) t)) t)) t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+ 5/6 (* -1 (/ (+ 2/9 (* 8/27 (/ 1 t))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal -8/27 binary64) t)) t))
(+ 5/6 (* -1 (/ (+ 2/9 (+ (/ 32/81 (pow t 2)) (* 8/27 (/ 1 t)))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal 8/27 binary64) (/.f64 #s(literal 32/81 binary64) t)) t)) t))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(* t (- (* -3/32 t) 1/8))
(*.f64 t (+.f64 #s(literal -1/8 binary64) (*.f64 t #s(literal -3/32 binary64))))
(* t (- (* t (- (* -9/128 t) 3/32)) 1/8))
(*.f64 t (+.f64 #s(literal -1/8 binary64) (*.f64 t (+.f64 #s(literal -3/32 binary64) (*.f64 t #s(literal -9/128 binary64))))))
(* t (- (* t (- (* t (- (* -27/512 t) 9/128)) 3/32)) 1/8))
(*.f64 t (+.f64 #s(literal -1/8 binary64) (*.f64 t (+.f64 #s(literal -3/32 binary64) (*.f64 t (+.f64 #s(literal -9/128 binary64) (*.f64 t #s(literal -27/512 binary64))))))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(+ 1/6 (+ (/ 8/27 (pow t 2)) (* 2/9 (/ 1 t))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 8/27 binary64) t))))
(+ 1/6 (+ (/ 8/27 (pow t 2)) (+ (* 2/9 (/ 1 t)) (* 32/81 (/ 1 (pow t 3))))))
(+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal 8/27 binary64) (/.f64 #s(literal 32/81 binary64) t)) t)) t))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(+ 1/6 (+ (/ 8/27 (pow t 2)) (* 2/9 (/ 1 t))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 8/27 binary64) t))))
(+ 1/6 (* -1 (/ (- (* -1 (/ (+ 8/27 (* 32/81 (/ 1 t))) t)) 2/9) t)))
(+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal 8/27 binary64) (/.f64 #s(literal 32/81 binary64) t)) t)) t))
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
(/ (- (* 6 t) 8) t)
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))
(/ (- (* 6 t) 8) t)
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))
(/ (- (* 6 t) 8) t)
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))
6
#s(literal 6 binary64)
(- 6 (* 8 (/ 1 t)))
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))
(- 6 (* 8 (/ 1 t)))
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))
(- 6 (* 8 (/ 1 t)))
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))
6
#s(literal 6 binary64)
(- 6 (* 8 (/ 1 t)))
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))
(- 6 (* 8 (/ 1 t)))
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))
(- 6 (* 8 (/ 1 t)))
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.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)))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
1
#s(literal 1 binary64)
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 1 (* t (- t 2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(+ 1 (* t (- t 2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* t (- t 2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* t (- t 2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* t (- t 2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))

eval74.0ms (0.9%)

Compiler

Compiled 11490 to 1362 computations (88.1% saved)

prune60.0ms (0.8%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New4814485
Fresh213
Picked145
Done011
Total48410494
Accuracy
100.0%
Counts
494 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.1%
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
▶11.2%
(-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
▶51.9%
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
✓100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
✓51.1%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓51.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
▶50.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
▶20.0%
#s(literal 1 binary64)
✓59.2%
#s(literal 5/6 binary64)
✓59.5%
#s(literal 1/2 binary64)
Compiler

Compiled 112 to 88 computations (21.4% saved)

simplify136.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓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 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
✓cost-diff0
(*.f64 t #s(literal -1/8 binary64))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
✓cost-diff0
(*.f64 t t)
✓cost-diff0
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
Rules
1434×fnmadd-define
1118×fmsub-define
1092×fnmsub-define
1056×fma-lowering-fma.f32
1056×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01875
14569
211468
325668
436168
545568
654868
765468
8108768
9130268
10159668
11189368
12253768
13341468
14438168
15458568
16474468
17487868
18490068
0490068
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* t t) 1/2)
(* t t)
t
1/2
1
(- 1 (* t -1/8))
1
(* t -1/8)
t
-1/8
(- 1 (+ (/ 2/9 t) 1/6))
1
(+ (/ 2/9 t) 1/6)
(/ 2/9 t)
2/9
t
1/6
(+ 1/2 (* (* t t) (+ 1 (* t -2))))
1/2
(* (* t t) (+ 1 (* t -2)))
(* t t)
t
(+ 1 (* t -2))
1
(* t -2)
-2
Outputs
(+ (* t t) 1/2)
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(* t t)
(*.f64 t t)
t
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(- 1 (* t -1/8))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))
1
#s(literal 1 binary64)
(* t -1/8)
(*.f64 t #s(literal -1/8 binary64))
t
-1/8
#s(literal -1/8 binary64)
(- 1 (+ (/ 2/9 t) 1/6))
(+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))
1
#s(literal 1 binary64)
(+ (/ 2/9 t) 1/6)
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
2/9
#s(literal 2/9 binary64)
t
1/6
#s(literal 1/6 binary64)
(+ 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)

localize159.0ms (2%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓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 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
✓accuracy99.5%
(/.f64 #s(literal 2/9 binary64) t)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
✓accuracy100.0%
(*.f64 t #s(literal -1/8 binary64))
✓accuracy100.0%
(*.f64 t t)
✓accuracy100.0%
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
Results
133.0ms256×0valid
Compiler

Compiled 78 to 19 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
...c/correct-round.rkt:119:19: 80.0ms (81.7% of total)
ival-mult: 7.0ms (7.1% of total)
ival-add: 5.0ms (5.1% of total)
ival-sub: 3.0ms (3.1% of total)
ival-div: 2.0ms (2% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
11 → 132
Calls
Call 1
Inputs
#<alt (+ (* t t) 1/2)>
#<alt (* t t)>
#<alt (- 1 (* t -1/8))>
#<alt (* t -1/8)>
#<alt (- 1 (+ (/ 2/9 t) 1/6))>
#<alt (+ (/ 2/9 t) 1/6)>
#<alt (/ 2/9 t)>
#<alt (+ 1/2 (* (* t t) (+ 1 (* t -2))))>
#<alt (* (* t t) (+ 1 (* t -2)))>
#<alt (+ 1 (* t -2))>
#<alt (* t -2)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (pow t 2))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt 1>
#<alt (+ 1 (* 1/8 t))>
#<alt (+ 1 (* 1/8 t))>
#<alt (+ 1 (* 1/8 t))>
#<alt (* 1/8 t)>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* 1/8 t)>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* -1/8 t)>
#<alt (* -1/8 t)>
#<alt (* -1/8 t)>
#<alt (* -1/8 t)>
#<alt (* -1/8 t)>
#<alt (* -1/8 t)>
#<alt (* -1/8 t)>
#<alt (* -1/8 t)>
#<alt (* -1/8 t)>
#<alt (* -1/8 t)>
#<alt (* -1/8 t)>
#<alt (* -1/8 t)>
#<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 (* 1/6 t)) t)>
#<alt (/ (+ 2/9 (* 1/6 t)) t)>
#<alt (/ (+ 2/9 (* 1/6 t)) t)>
#<alt 1/6>
#<alt (+ 1/6 (* 2/9 (/ 1 t)))>
#<alt (+ 1/6 (* 2/9 (/ 1 t)))>
#<alt (+ 1/6 (* 2/9 (/ 1 t)))>
#<alt 1/6>
#<alt (+ 1/6 (* 2/9 (/ 1 t)))>
#<alt (+ 1/6 (* 2/9 (/ 1 t)))>
#<alt (+ 1/6 (* 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 1>
#<alt (+ 1 (* -2 t))>
#<alt (+ 1 (* -2 t))>
#<alt (+ 1 (* -2 t))>
#<alt (* -2 t)>
#<alt (* t (- (/ 1 t) 2))>
#<alt (* t (- (/ 1 t) 2))>
#<alt (* t (- (/ 1 t) 2))>
#<alt (* -2 t)>
#<alt (* -1 (* t (- 2 (/ 1 t))))>
#<alt (* -1 (* t (- 2 (/ 1 t))))>
#<alt (* -1 (* t (- 2 (/ 1 t))))>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
Calls

33 calls:

TimeVariablePointExpression
0.0ms
t
@0
(+ (/ 2/9 t) 1/6)
0.0ms
t
@inf
(* t -1/8)
0.0ms
t
@inf
(* (* t t) (+ 1 (* t -2)))
0.0ms
t
@-inf
(* t -1/8)
0.0ms
t
@inf
(* t -2)

rewrite315.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
3510×/-lowering-/.f32
3510×/-lowering-/.f64
3340×*-lowering-*.f32
3340×*-lowering-*.f64
2140×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01858
112552
2114551
0858251
Stop Event
1×iter limit
1×node limit
Counts
11 → 325
Calls
Call 1
Inputs
(+ (* t t) 1/2)
(* t t)
(- 1 (* t -1/8))
(* t -1/8)
(- 1 (+ (/ 2/9 t) 1/6))
(+ (/ 2/9 t) 1/6)
(/ 2/9 t)
(+ 1/2 (* (* t t) (+ 1 (* t -2))))
(* (* t t) (+ 1 (* t -2)))
(+ 1 (* t -2))
(* t -2)
Outputs
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 (*.f64 t t) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 (*.f64 t t) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 t t) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(fma.f64 t t #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 t t) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 t t)) (-.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t))))))
(/.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 1/8 binary64)) (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/4 binary64)) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))
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(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))))) (neg.f64 (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t))) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t))) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t)))))) (neg.f64 (-.f64 (*.f64 t t) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t))))))
(/.f64 (neg.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal -2 binary64)) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (*.f64 t t))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal -2 binary64)) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 4 binary64))) (*.f64 t t))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t))) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t)))) (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t))) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t)))) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))) (*.f64 t t))
(*.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) t)
(*.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t))) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t))))))))
(*.f64 (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t))) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t))))))
(*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal -2 binary64)) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))))))
(*.f64 (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal -2 binary64)) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 4 binary64))) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))))
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64))
(fma.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal -2 binary64)) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (+.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal -2 binary64)) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))) (*.f64 (*.f64 t t) #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal -2 binary64)) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal -2 binary64)) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal -2 binary64)) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 t t) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 t #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) t)
(*.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))

simplify147.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1986×fnmadd-define
1606×*-lowering-*.f32
1606×*-lowering-*.f64
1094×fma-define
1000×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059598
1149555
2447546
31421546
44401546
08292546
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
(+ 1 (* 1/8 t))
(+ 1 (* 1/8 t))
(+ 1 (* 1/8 t))
(* 1/8 t)
(* t (+ 1/8 (/ 1 t)))
(* t (+ 1/8 (/ 1 t)))
(* t (+ 1/8 (/ 1 t)))
(* 1/8 t)
(* t (+ 1/8 (/ 1 t)))
(* t (+ 1/8 (/ 1 t)))
(* t (+ 1/8 (/ 1 t)))
(* -1/8 t)
(* -1/8 t)
(* -1/8 t)
(* -1/8 t)
(* -1/8 t)
(* -1/8 t)
(* -1/8 t)
(* -1/8 t)
(* -1/8 t)
(* -1/8 t)
(* -1/8 t)
(* -1/8 t)
(/ -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 (* 1/6 t)) t)
(/ (+ 2/9 (* 1/6 t)) t)
(/ (+ 2/9 (* 1/6 t)) t)
1/6
(+ 1/6 (* 2/9 (/ 1 t)))
(+ 1/6 (* 2/9 (/ 1 t)))
(+ 1/6 (* 2/9 (/ 1 t)))
1/6
(+ 1/6 (* 2/9 (/ 1 t)))
(+ 1/6 (* 2/9 (/ 1 t)))
(+ 1/6 (* 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))))
1
(+ 1 (* -2 t))
(+ 1 (* -2 t))
(+ 1 (* -2 t))
(* -2 t)
(* t (- (/ 1 t) 2))
(* t (- (/ 1 t) 2))
(* t (- (/ 1 t) 2))
(* -2 t)
(* -1 (* t (- 2 (/ 1 t))))
(* -1 (* t (- 2 (/ 1 t))))
(* -1 (* t (- 2 (/ 1 t))))
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))
(+ 1 (* 1/8 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))
(+ 1 (* 1/8 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))
(* 1/8 t)
(*.f64 t #s(literal 1/8 binary64))
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))
(* 1/8 t)
(*.f64 t #s(literal 1/8 binary64))
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(/ -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 (* 1/6 t)) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (*.f64 t #s(literal 1/6 binary64))) t)
(/ (+ 2/9 (* 1/6 t)) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (*.f64 t #s(literal 1/6 binary64))) t)
(/ (+ 2/9 (* 1/6 t)) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (*.f64 t #s(literal 1/6 binary64))) t)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -2 (pow t 3))
(*.f64 t (*.f64 t (*.f64 t #s(literal -2 binary64))))
(* (pow t 3) (- (/ 1 t) 2))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -2 (pow t 3))
(*.f64 t (*.f64 t (*.f64 t #s(literal -2 binary64))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* -2 t)))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (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 (* -2 t)))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* -2 (pow t 3))
(*.f64 t (*.f64 t (*.f64 t #s(literal -2 binary64))))
(* (pow t 3) (- (/ 1 t) 2))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 3) (- (/ 1 t) 2))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 3) (- (/ 1 t) 2))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* -2 (pow t 3))
(*.f64 t (*.f64 t (*.f64 t #s(literal -2 binary64))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* t (- (/ 1 t) 2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* t (- (/ 1 t) 2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* t (- (/ 1 t) 2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -1 (* t (- 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -1 (* t (- 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -1 (* t (- 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))

eval72.0ms (0.9%)

Compiler

Compiled 9300 to 1022 computations (89% saved)

prune45.0ms (0.6%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New4772479
Fresh000
Picked055
Done055
Total47712489
Accuracy
100.0%
Counts
489 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶11.1%
(/.f64 (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal 1 binary64)))
▶11.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)))))
✓51.1%
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
✓11.2%
(-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
✓51.9%
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
✓100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
✓51.1%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓51.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓50.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
✓20.0%
#s(literal 1 binary64)
✓59.2%
#s(literal 5/6 binary64)
✓59.5%
#s(literal 1/2 binary64)
Compiler

Compiled 108 to 82 computations (24.1% saved)

simplify207.0ms (2.6%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 t t)
✓cost-diff0
(*.f64 (*.f64 t t) #s(literal 1/64 binary64))
✓cost-diff0
(-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 t #s(literal 1/8 binary64))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)))))
Rules
2006×sum3-define
1952×sum5-define
1290×fnmadd-define
1114×fmsub-define
1062×fnmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01493
14793
211283
324683
462783
5146683
6329883
7451483
8684583
9701683
10701683
11701683
12708383
0708383
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (/ (- 1 (* t 1/8)) (- 1 (* (* t t) 1/64))))
1
(/ (- 1 (* t 1/8)) (- 1 (* (* t t) 1/64)))
(- 1 (* t 1/8))
(* t 1/8)
t
1/8
(- 1 (* (* t t) 1/64))
(* (* t t) 1/64)
(* t t)
1/64
(/ (- (* (* t t) 1/64) 1) (- (* t 1/8) 1))
(- (* (* t t) 1/64) 1)
(* (* t t) 1/64)
(* t t)
t
1/64
1
(- (* t 1/8) 1)
(* t 1/8)
1/8
Outputs
(/ 1 (/ (- 1 (* t 1/8)) (- 1 (* (* t t) 1/64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal -1/64 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64))))
1
#s(literal 1 binary64)
(/ (- 1 (* t 1/8)) (- 1 (* (* t t) 1/64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal -1/64 binary64)))))
(- 1 (* t 1/8))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(* t 1/8)
(*.f64 t #s(literal 1/8 binary64))
t
1/8
#s(literal 1/8 binary64)
(- 1 (* (* t t) 1/64))
(+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal -1/64 binary64))))
(* (* t t) 1/64)
(*.f64 t (*.f64 t #s(literal 1/64 binary64)))
(* t t)
(*.f64 t t)
1/64
#s(literal 1/64 binary64)
(/ (- (* (* t t) 1/64) 1) (- (* t 1/8) 1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal -1/64 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64))))
(- (* (* t t) 1/64) 1)
(+.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) #s(literal -1 binary64))
(* (* t t) 1/64)
(*.f64 t (*.f64 t #s(literal 1/64 binary64)))
(* t t)
(*.f64 t t)
t
1/64
#s(literal 1/64 binary64)
1
#s(literal 1 binary64)
(- (* t 1/8) 1)
(+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))
(* t 1/8)
(*.f64 t #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)

localize66.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 t t)
✓accuracy100.0%
(*.f64 t #s(literal 1/8 binary64))
✓accuracy99.7%
(*.f64 (*.f64 t t) #s(literal 1/64 binary64))
✓accuracy78.5%
(/.f64 (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 t #s(literal 1/8 binary64))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)))))
✓accuracy99.7%
(*.f64 (*.f64 t t) #s(literal 1/64 binary64))
✓accuracy78.4%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))))
Results
40.0ms256×0valid
Compiler

Compiled 97 to 15 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (36.5% of total)
ival-sub: 5.0ms (30.4% of total)
ival-div: 5.0ms (30.4% of total)
const: 1.0ms (6.1% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
8 → 96
Calls
Call 1
Inputs
#<alt (/ 1 (/ (- 1 (* t 1/8)) (- 1 (* (* t t) 1/64))))>
#<alt (/ (- 1 (* t 1/8)) (- 1 (* (* t t) 1/64)))>
#<alt (- 1 (* t 1/8))>
#<alt (* t 1/8)>
#<alt (/ (- (* (* t t) 1/64) 1) (- (* t 1/8) 1))>
#<alt (- (* (* t t) 1/64) 1)>
#<alt (* (* t t) 1/64)>
#<alt (* t t)>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 t))>
#<alt (+ 1 (* 1/8 t))>
#<alt (+ 1 (* 1/8 t))>
#<alt (* 1/8 t)>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* 1/8 t)>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt 1>
#<alt (+ 1 (* -1/8 t))>
#<alt (+ 1 (* t (- (* 1/64 t) 1/8)))>
#<alt (+ 1 (* t (- (* t (+ 1/64 (* -1/512 t))) 1/8)))>
#<alt (/ 8 t)>
#<alt (/ (- 8 (* 64 (/ 1 t))) t)>
#<alt (/ (- (+ 8 (/ 512 (pow t 2))) (* 64 (/ 1 t))) t)>
#<alt (/ (- (+ 8 (/ 512 (pow t 2))) (+ (* 64 (/ 1 t)) (* 4096 (/ 1 (pow t 3))))) t)>
#<alt (/ 8 t)>
#<alt (* -1 (/ (- (* 64 (/ 1 t)) 8) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 512 (/ 1 t)) 64) t)) 8) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ 1 t)) 512) t)) 64) t)) 8) t))>
#<alt 1>
#<alt (+ 1 (* -1/8 t))>
#<alt (+ 1 (* -1/8 t))>
#<alt (+ 1 (* -1/8 t))>
#<alt (* -1/8 t)>
#<alt (* t (- (/ 1 t) 1/8))>
#<alt (* t (- (/ 1 t) 1/8))>
#<alt (* t (- (/ 1 t) 1/8))>
#<alt (* -1/8 t)>
#<alt (* -1 (* t (- 1/8 (/ 1 t))))>
#<alt (* -1 (* t (- 1/8 (/ 1 t))))>
#<alt (* -1 (* t (- 1/8 (/ 1 t))))>
#<alt (* 1/8 t)>
#<alt (* 1/8 t)>
#<alt (* 1/8 t)>
#<alt (* 1/8 t)>
#<alt (* 1/8 t)>
#<alt (* 1/8 t)>
#<alt (* 1/8 t)>
#<alt (* 1/8 t)>
#<alt (* 1/8 t)>
#<alt (* 1/8 t)>
#<alt (* 1/8 t)>
#<alt (* 1/8 t)>
#<alt 1>
#<alt (+ 1 (* 1/8 t))>
#<alt (+ 1 (* 1/8 t))>
#<alt (+ 1 (* 1/8 t))>
#<alt (* 1/8 t)>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* 1/8 t)>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt (* t (+ 1/8 (/ 1 t)))>
#<alt -1>
#<alt (- (* 1/64 (pow t 2)) 1)>
#<alt (- (* 1/64 (pow t 2)) 1)>
#<alt (- (* 1/64 (pow t 2)) 1)>
#<alt (* 1/64 (pow t 2))>
#<alt (* (pow t 2) (- 1/64 (/ 1 (pow t 2))))>
#<alt (* (pow t 2) (- 1/64 (/ 1 (pow t 2))))>
#<alt (* (pow t 2) (- 1/64 (/ 1 (pow t 2))))>
#<alt (* 1/64 (pow t 2))>
#<alt (* (pow t 2) (- 1/64 (/ 1 (pow t 2))))>
#<alt (* (pow t 2) (- 1/64 (/ 1 (pow t 2))))>
#<alt (* (pow t 2) (- 1/64 (/ 1 (pow t 2))))>
#<alt (* 1/64 (pow t 2))>
#<alt (* 1/64 (pow t 2))>
#<alt (* 1/64 (pow t 2))>
#<alt (* 1/64 (pow t 2))>
#<alt (* 1/64 (pow t 2))>
#<alt (* 1/64 (pow t 2))>
#<alt (* 1/64 (pow t 2))>
#<alt (* 1/64 (pow t 2))>
#<alt (* 1/64 (pow t 2))>
#<alt (* 1/64 (pow t 2))>
#<alt (* 1/64 (pow t 2))>
#<alt (* 1/64 (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)>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
t
@-inf
(/ (- (* (* t t) 1/64) 1) (- (* t 1/8) 1))
0.0ms
t
@0
(/ 1 (/ (- 1 (* t 1/8)) (- 1 (* (* t t) 1/64))))
0.0ms
t
@inf
(/ 1 (/ (- 1 (* t 1/8)) (- 1 (* (* t t) 1/64))))
0.0ms
t
@inf
(/ (- (* (* t t) 1/64) 1) (- (* t 1/8) 1))
0.0ms
t
@inf
(* (* t t) 1/64)

rewrite440.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
3260×/-lowering-/.f32
3260×/-lowering-/.f64
3100×*-lowering-*.f32
3100×*-lowering-*.f64
1538×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01463
110635
299034
0853134
Stop Event
1×iter limit
1×node limit
Counts
8 → 780
Calls
Call 1
Inputs
(/ 1 (/ (- 1 (* t 1/8)) (- 1 (* (* t t) 1/64))))
(/ (- 1 (* t 1/8)) (- 1 (* (* t t) 1/64)))
(- 1 (* t 1/8))
(* t 1/8)
(/ (- (* (* t t) 1/64) 1) (- (* t 1/8) 1))
(- (* (* t t) 1/64) 1)
(* (* t t) 1/64)
(* t t)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal -1/8 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) t)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t)) #s(literal 1/8 binary64)))
(+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))))
(+.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))))
(+.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal 1/8 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal 1/8 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) #s(literal -1/64 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))))))
(+.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 1/64 binary64)) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 t t) (/.f64 #s(literal 1/64 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 t t) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal 1/8 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(-.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4096 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64))))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64))))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4096 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/262144 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/262144 binary64))) (+.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4096 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64)))))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4096 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64)))))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64)))))))) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/262144 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64)))))))))
(-.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/262144 binary64))) (*.f64 (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4096 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4096 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64)))))) (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4096 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4096 binary64))) (*.f64 (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 1/64 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))))) (/.f64 (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1/4096 binary64) (*.f64 (/.f64 (*.f64 t t) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 t t) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/4096 binary64) (*.f64 (/.f64 (*.f64 t t) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 t t) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64)))))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/4096 binary64) (*.f64 (/.f64 (*.f64 t t) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 t t) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4096 binary64) (*.f64 (/.f64 (*.f64 t t) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 t t) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))))))
(fma.f64 t #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 t (/.f64 (*.f64 t #s(literal 1/64 binary64)) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))))
(fma.f64 #s(literal 1/8 binary64) t #s(literal 1 binary64))
(fma.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 t t) (/.f64 #s(literal 1/64 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))))
(fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 t t) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))))
(fma.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/64 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (/.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) (+.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal -1 binary64))))
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(*.f64 (*.f64 t t) #s(literal 1/64 binary64))
(*.f64 #s(literal 1/64 binary64) (*.f64 t t))
(*.f64 #s(literal 1/64 binary64) (*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) t)))
(*.f64 (*.f64 t (*.f64 t #s(literal 1/64 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 t t) #s(literal -1/64 binary64)))
(*.f64 (*.f64 t #s(literal -1/8 binary64)) (*.f64 t #s(literal -1/8 binary64)))
(*.f64 (*.f64 t #s(literal 1/64 binary64)) t)
(*.f64 (*.f64 (*.f64 t #s(literal 1/8 binary64)) t) #s(literal 1/8 binary64))
(*.f64 (*.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) t)
(*.f64 (pow.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) t)) #s(literal 1/64 binary64))
(exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)))
(pow.f64 t #s(literal 2 binary64))
(pow.f64 (*.f64 t t) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 t t))
(*.f64 t t)
(*.f64 (*.f64 t t) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t)))

simplify449.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
1914×fma-lowering-fma.f32
1914×fma-lowering-fma.f64
1744×fmsub-define
1680×fnmadd-define
1550×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075463
1226424
2510422
31200420
43586420
08356420
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
1
(+ 1 (* 1/8 t))
(+ 1 (* 1/8 t))
(+ 1 (* 1/8 t))
(* 1/8 t)
(* t (+ 1/8 (/ 1 t)))
(* t (+ 1/8 (/ 1 t)))
(* t (+ 1/8 (/ 1 t)))
(* 1/8 t)
(* t (+ 1/8 (/ 1 t)))
(* t (+ 1/8 (/ 1 t)))
(* t (+ 1/8 (/ 1 t)))
1
(+ 1 (* -1/8 t))
(+ 1 (* t (- (* 1/64 t) 1/8)))
(+ 1 (* t (- (* t (+ 1/64 (* -1/512 t))) 1/8)))
(/ 8 t)
(/ (- 8 (* 64 (/ 1 t))) t)
(/ (- (+ 8 (/ 512 (pow t 2))) (* 64 (/ 1 t))) t)
(/ (- (+ 8 (/ 512 (pow t 2))) (+ (* 64 (/ 1 t)) (* 4096 (/ 1 (pow t 3))))) t)
(/ 8 t)
(* -1 (/ (- (* 64 (/ 1 t)) 8) t))
(* -1 (/ (- (* -1 (/ (- (* 512 (/ 1 t)) 64) t)) 8) t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ 1 t)) 512) t)) 64) t)) 8) t))
1
(+ 1 (* -1/8 t))
(+ 1 (* -1/8 t))
(+ 1 (* -1/8 t))
(* -1/8 t)
(* t (- (/ 1 t) 1/8))
(* t (- (/ 1 t) 1/8))
(* t (- (/ 1 t) 1/8))
(* -1/8 t)
(* -1 (* t (- 1/8 (/ 1 t))))
(* -1 (* t (- 1/8 (/ 1 t))))
(* -1 (* t (- 1/8 (/ 1 t))))
(* 1/8 t)
(* 1/8 t)
(* 1/8 t)
(* 1/8 t)
(* 1/8 t)
(* 1/8 t)
(* 1/8 t)
(* 1/8 t)
(* 1/8 t)
(* 1/8 t)
(* 1/8 t)
(* 1/8 t)
1
(+ 1 (* 1/8 t))
(+ 1 (* 1/8 t))
(+ 1 (* 1/8 t))
(* 1/8 t)
(* t (+ 1/8 (/ 1 t)))
(* t (+ 1/8 (/ 1 t)))
(* t (+ 1/8 (/ 1 t)))
(* 1/8 t)
(* t (+ 1/8 (/ 1 t)))
(* t (+ 1/8 (/ 1 t)))
(* t (+ 1/8 (/ 1 t)))
-1
(- (* 1/64 (pow t 2)) 1)
(- (* 1/64 (pow t 2)) 1)
(- (* 1/64 (pow t 2)) 1)
(* 1/64 (pow t 2))
(* (pow t 2) (- 1/64 (/ 1 (pow t 2))))
(* (pow t 2) (- 1/64 (/ 1 (pow t 2))))
(* (pow t 2) (- 1/64 (/ 1 (pow t 2))))
(* 1/64 (pow t 2))
(* (pow t 2) (- 1/64 (/ 1 (pow t 2))))
(* (pow t 2) (- 1/64 (/ 1 (pow t 2))))
(* (pow t 2) (- 1/64 (/ 1 (pow t 2))))
(* 1/64 (pow t 2))
(* 1/64 (pow t 2))
(* 1/64 (pow t 2))
(* 1/64 (pow t 2))
(* 1/64 (pow t 2))
(* 1/64 (pow t 2))
(* 1/64 (pow t 2))
(* 1/64 (pow t 2))
(* 1/64 (pow t 2))
(* 1/64 (pow t 2))
(* 1/64 (pow t 2))
(* 1/64 (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)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 t))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(+ 1 (* 1/8 t))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(+ 1 (* 1/8 t))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(+ 1 (* t (- (* 1/64 t) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -1/8 binary64) (*.f64 t #s(literal 1/64 binary64)))))
(+ 1 (* t (- (* t (+ 1/64 (* -1/512 t))) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal -1/8 binary64) (*.f64 t (+.f64 #s(literal 1/64 binary64) (*.f64 t #s(literal -1/512 binary64)))))))
(/ 8 t)
(/.f64 #s(literal 8 binary64) t)
(/ (- 8 (* 64 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) t)) t)
(/ (- (+ 8 (/ 512 (pow t 2))) (* 64 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 512 binary64) t) #s(literal -64 binary64)) t)) t)
(/ (- (+ 8 (/ 512 (pow t 2))) (+ (* 64 (/ 1 t)) (* 4096 (/ 1 (pow t 3))))) t)
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal -64 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4096 binary64) t) #s(literal -512 binary64)) t)) t)) t)
(/ 8 t)
(/.f64 #s(literal 8 binary64) t)
(* -1 (/ (- (* 64 (/ 1 t)) 8) t))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) t)) t)
(* -1 (/ (- (* -1 (/ (- (* 512 (/ 1 t)) 64) t)) 8) t))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 512 binary64) t) #s(literal -64 binary64)) t)) t)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ 1 t)) 512) t)) 64) t)) 8) t))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal -64 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4096 binary64) t) #s(literal -512 binary64)) t)) t)) t)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(+ 1 (* -1/8 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(+ 1 (* -1/8 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(* t (- (/ 1 t) 1/8))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(* t (- (/ 1 t) 1/8))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(* t (- (/ 1 t) 1/8))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(* -1/8 t)
(*.f64 t #s(literal -1/8 binary64))
(* -1 (* t (- 1/8 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(* -1 (* t (- 1/8 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(* -1 (* t (- 1/8 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 t))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(+ 1 (* 1/8 t))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(+ 1 (* 1/8 t))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(* 1/8 t)
(*.f64 #s(literal 1/8 binary64) t)
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
(* t (+ 1/8 (/ 1 t)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) t))
-1
#s(literal -1 binary64)
(- (* 1/64 (pow t 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 t t)))
(- (* 1/64 (pow t 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 t t)))
(- (* 1/64 (pow t 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 t t)))
(* 1/64 (pow t 2))
(*.f64 #s(literal 1/64 binary64) (*.f64 t t))
(* (pow t 2) (- 1/64 (/ 1 (pow t 2))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 t t)))
(* (pow t 2) (- 1/64 (/ 1 (pow t 2))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 t t)))
(* (pow t 2) (- 1/64 (/ 1 (pow t 2))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 t t)))
(* 1/64 (pow t 2))
(*.f64 #s(literal 1/64 binary64) (*.f64 t t))
(* (pow t 2) (- 1/64 (/ 1 (pow t 2))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 t t)))
(* (pow t 2) (- 1/64 (/ 1 (pow t 2))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 t t)))
(* (pow t 2) (- 1/64 (/ 1 (pow t 2))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 t t)))
(* 1/64 (pow t 2))
(*.f64 #s(literal 1/64 binary64) (*.f64 t t))
(* 1/64 (pow t 2))
(*.f64 #s(literal 1/64 binary64) (*.f64 t t))
(* 1/64 (pow t 2))
(*.f64 #s(literal 1/64 binary64) (*.f64 t t))
(* 1/64 (pow t 2))
(*.f64 #s(literal 1/64 binary64) (*.f64 t t))
(* 1/64 (pow t 2))
(*.f64 #s(literal 1/64 binary64) (*.f64 t t))
(* 1/64 (pow t 2))
(*.f64 #s(literal 1/64 binary64) (*.f64 t t))
(* 1/64 (pow t 2))
(*.f64 #s(literal 1/64 binary64) (*.f64 t t))
(* 1/64 (pow t 2))
(*.f64 #s(literal 1/64 binary64) (*.f64 t t))
(* 1/64 (pow t 2))
(*.f64 #s(literal 1/64 binary64) (*.f64 t t))
(* 1/64 (pow t 2))
(*.f64 #s(literal 1/64 binary64) (*.f64 t t))
(* 1/64 (pow t 2))
(*.f64 #s(literal 1/64 binary64) (*.f64 t t))
(* 1/64 (pow t 2))
(*.f64 #s(literal 1/64 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)

eval240.0ms (3%)

Compiler

Compiled 30044 to 2037 computations (93.2% saved)

prune84.0ms (1%)

Pruning

12 alts after pruning (0 fresh and 12 done)

PrunedKeptTotal
New9480948
Fresh000
Picked022
Done01010
Total94812960
Accuracy
100.0%
Counts
960 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓11.1%
(/.f64 (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal 1 binary64)))
✓11.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)))))
✓51.1%
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
✓11.2%
(-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
✓51.9%
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
✓100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
✓51.1%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓51.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓50.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
✓20.0%
#s(literal 1 binary64)
✓59.2%
#s(literal 5/6 binary64)
✓59.5%
#s(literal 1/2 binary64)
Compiler

Compiled 259 to 152 computations (41.3% saved)

regimes34.0ms (0.4%)

Counts
16 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))
Calls

7 calls:

7.0ms
t
5.0ms
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
5.0ms
(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
4.0ms
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
4.0ms
(+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))
Results
AccuracySegmentsBranch
100.0%1t
100.0%1(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))
100.0%1(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
100.0%1(+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))
100.0%1(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
100.0%1(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
100.0%1(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
Compiler

Compiled 132 to 58 computations (56.1% saved)

regimes6.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
Calls

1 calls:

5.0ms
t
Results
AccuracySegmentsBranch
100.0%1t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 t #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)))))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
Calls

1 calls:

4.0ms
t
Results
AccuracySegmentsBranch
99.5%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
Calls

1 calls:

4.0ms
t
Results
AccuracySegmentsBranch
99.5%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
t
Results
AccuracySegmentsBranch
99.4%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
t
Results
AccuracySegmentsBranch
99.4%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/8 binary64)))
Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
Calls

1 calls:

3.0ms
t
Results
AccuracySegmentsBranch
99.4%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)
#s(literal 1 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
99.1%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.2%)

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

1 calls:

18.0ms
t
Results
AccuracySegmentsBranch
99.1%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
59.5%1t
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch34.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
3.3367552752849006e-8
269019244852.29272
11.0ms
-0.6139588199174438
-0.08949129629198092
Results
22.0ms256×0valid
Compiler

Compiled 430 to 325 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 7.0ms (49.3% of total)
ival-sub: 2.0ms (14.1% of total)
ival-add: 2.0ms (14.1% of total)
ival-mult: 2.0ms (14.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
3.3367552752849006e-8
269019244852.29272
11.0ms
-0.6139588199174438
-0.08949129629198092
Results
20.0ms256×0valid
Compiler

Compiled 398 to 309 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 7.0ms (50.1% of total)
ival-sub: 2.0ms (14.3% of total)
ival-add: 2.0ms (14.3% of total)
ival-mult: 2.0ms (14.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch70.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
3.3367552752849006e-8
269019244852.29272
48.0ms
-0.6139588199174438
-0.08949129629198092
Results
57.0ms256×0valid
Compiler

Compiled 302 to 229 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-div: 43.0ms (84.9% of total)
ival-add: 3.0ms (5.9% of total)
ival-sub: 2.0ms (3.9% of total)
ival-mult: 2.0ms (3.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch49.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
3.3367552752849006e-8
269019244852.29272
20.0ms
-13937174729.739893
-0.6139588199174438
Results
30.0ms320×0valid
Compiler

Compiled 334 to 255 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 12.0ms (53.1% of total)
ival-sub: 5.0ms (22.1% of total)
ival-add: 3.0ms (13.3% of total)
ival-mult: 2.0ms (8.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
3.3367552752849006e-8
269019244852.29272
25.0ms
-13937174729.739893
-0.6139588199174438
Results
35.0ms320×0valid
Compiler

Compiled 314 to 235 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 9.0ms (49.8% of total)
ival-sub: 3.0ms (16.6% of total)
ival-add: 3.0ms (16.6% of total)
ival-mult: 2.0ms (11.1% of total)
const: 1.0ms (5.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
3.3367552752849006e-8
269019244852.29272
22.0ms
-13937174729.739893
-0.6139588199174438
Results
32.0ms320×0valid
Compiler

Compiled 234 to 175 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 12.0ms (48.9% of total)
ival-add: 6.0ms (24.4% of total)
ival-sub: 3.0ms (12.2% of total)
ival-mult: 2.0ms (8.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch67.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
3.3367552752849006e-8
269019244852.29272
33.0ms
-0.6139588199174438
-0.08949129629198092
Results
42.0ms256×0valid
Compiler

Compiled 130 to 111 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 29.0ms (81% of total)
ival-sub: 2.0ms (5.6% of total)
ival-add: 2.0ms (5.6% of total)
ival-mult: 2.0ms (5.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify44.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
312×unsub-neg_binary64
194×distribute-lft-neg-in_binary64
190×neg-mul-1_binary64
132×neg-sub0_binary64
116×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083220
1125220
2155220
3197220
4248220
5273220
6302220
7347220
8410220
9530220
10704220
11807220
12893220
13960220
14999220
151006220
161007220
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
(if (<=.f64 t #s(literal -8286623314361713/18014398509481984 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t)))) (if (<=.f64 t #s(literal 3/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))))
(if (<=.f64 t #s(literal -2206763817411543/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t)))) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))))
(if (<=.f64 t #s(literal -2476979795053773/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t)))) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))))
(if (<=.f64 t #s(literal -889460926405673/1125899906842624 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))))
(if (<=.f64 t #s(literal -889460926405673/1125899906842624 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -8106479329266893/9007199254740992 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 5/6 binary64)))
(if (<=.f64 t #s(literal -5944751508129055/18014398509481984 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 5/6 binary64)))
#s(literal 1/2 binary64)
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
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(if (<=.f64 t #s(literal -5944751508129055/18014398509481984 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 5/6 binary64)))
#s(literal 1/2 binary64)

soundness989.0ms (12.3%)

Rules
2856×fma-lowering-fma.f32
2856×fma-lowering-fma.f64
2062×sum3-define
1970×fmsub-define
1910×fmm-def
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02361114
1760983
22051951
35382950
08638950
01226
12425
25425
315519
462119
5283318
0821818
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 357 to 192 computations (46.2% saved)

preprocess58.0ms (0.7%)

Compiler

Compiled 510 to 198 computations (61.2% saved)

end0.0ms (0%)

Profiling

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