Details

Time bar (total: 33.4s)

sample34.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify6.2s

Counts
1 → 1
Iterations
IterNodes
done2529
112529
102182
91689
81203
71037
6864
5633
4359
3162
270
138
018

prune59.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.1b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0b
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
5.3b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
17.8b
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
1.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
7.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series463.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
41.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
146.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
236.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify4.3s

Counts
75 → 75
Iterations
IterNodes
done5003
32598
2741
1270
0137

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma z (+ z 6.012459259764103) 3.350343815022304)
0.0b
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
5.3b
(/ y (fma z (+ z 6.012459259764103) 3.350343815022304))
17.8b
(fma (/ y (fma z (+ z 6.012459259764103) 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 63
Calls
4 calls:
2.0ms
(fma z (+ z 6.012459259764103) 3.350343815022304)
2.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
11.0ms
(/ y (fma z (+ z 6.012459259764103) 3.350343815022304))
1.0ms
(fma (/ y (fma z (+ z 6.012459259764103) 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series473.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(fma z (+ z 6.012459259764103) 3.350343815022304)
42.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
116.0ms
(/ y (fma z (+ z 6.012459259764103) 3.350343815022304))
288.0ms
(fma (/ y (fma z (+ z 6.012459259764103) 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify4.7s

Counts
75 → 75
Iterations
IterNodes
done5011
32769
2762
1270
0137

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ y (* (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))))
16.8b
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
16.8b
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
17.8b
(fma (/ y (* (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-cbrt-cube add-exp-log
8×*-un-lft-identity add-cube-cbrt
6×pow1 sqrt-prod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod fma-udef div-inv
Counts
4 → 67
Calls
4 calls:
17.0ms
(/ y (* (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))))
3.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
5.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
2.0ms
(fma (/ y (* (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series560.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(/ y (* (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))))
81.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
84.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
267.0ms
(fma (/ y (* (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify3.8s

Counts
79 → 79
Iterations
IterNodes
done5000
32318
2810
1296
0135

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

1.7b
(exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))
5.3b
(/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
17.5b
(log (fma (+ z 6.012459259764103) z 3.350343815022304))
17.8b
(fma (/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×log-prod times-frac
15×exp-sum
6×pow1 associate-/r* add-cbrt-cube add-exp-log
4×expm1-log1p-u exp-prod insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×log-pow
1×cbrt-undiv clear-num frac-2neg div-exp rem-log-exp fma-udef div-inv rem-exp-log
Counts
4 → 86
Calls
4 calls:
9.0ms
(exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))
13.0ms
(/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
2.0ms
(log (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(fma (/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series524.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))
125.0ms
(/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
95.0ms
(log (fma (+ z 6.012459259764103) z 3.350343815022304))
263.0ms
(fma (/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify4.3s

Counts
98 → 98
Iterations
IterNodes
done5000
32678
21088
1377
0186

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes1.1s

Accuracy

97.9% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 16.4b

bsearch290.0ms

Steps
ItersRangePoint
8
94859.26993337883
968457078.2664605
60821021.3888767
10
-1.884313823524989e+71
-8.353436009901676e+53
-8.569003806210261e+53

simplify14.0ms

Iterations
IterNodes
done40
140
028

end0.0ms

sample1.2s

Algorithm
intervals
Results
806.0ms8000×body80valid