Details

Time bar (total: 18.3s)

sample42.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify3.4s

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

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.6b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.1b
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
5.6b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
18.2b
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite11.0ms

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 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 → 59
Calls
4 calls:
0.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0ms
(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)

series350.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
44.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
99.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
173.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify1.6s

Counts
71 → 71
Iterations
IterNodes
done5003
32523
2725
1266
0133

prune494.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.1b
(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
5.6b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
18.2b
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

rewrite11.0ms

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 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 → 59
Calls
4 calls:
0.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0ms
(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
8.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

series362.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
30.0ms
(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
88.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
223.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

simplify1.6s

Counts
71 → 71
Iterations
IterNodes
done5005
32525
2725
1266
0133

prune480.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
0.6b
(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
5.4b
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
18.2b
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×pow1
4×expm1-log1p-u cbrt-undiv log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp fma-udef
1×associate-/r/ pow-flip inv-pow
Counts
4 → 127
Calls
4 calls:
0.0ms
(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
8.0ms
(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
4.0ms
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
0.0ms
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

series278.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
62.0ms
(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
66.0ms
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
113.0ms
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

simplify1.9s

Counts
139 → 139
Iterations
IterNodes
done5002
33450
21147
1516
0229

prune851.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
0.5b
(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
5.2b
(/ (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) (/ 1 y))
18.2b
(fma (/ (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) (/ 1 y)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
208×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
48×add-exp-log
34×div-exp
30×div-inv
18×add-cbrt-cube
16×associate-/r* associate-/l*
9×cbrt-undiv rec-exp 1-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg fma-udef
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
4 → 282
Calls
4 calls:
0.0ms
(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
5.0ms
(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
21.0ms
(/ (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) (/ 1 y))
1.0ms
(fma (/ (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) (/ 1 y)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

series275.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
47.0ms
(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
68.0ms
(/ (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) (/ 1 y))
125.0ms
(fma (/ (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) (/ 1 y)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

simplify2.4s

Counts
294 → 294
Iterations
IterNodes
done5011
23052
11337
0471

prune1.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes640.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.7b

bsearch216.0ms

Steps
ItersRangePoint
8
8356907.11246281
37605091470.942024
114313904.49730581
9
-527972207551299.94
-985736.6883936576
-95371158.39650728

simplify8.0ms

Iterations
IterNodes
done40
140
028

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8000×body80valid