Details

Time bar (total: 18.6s)

sample38.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify3.5s

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.4b

localize27.0ms

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)
4.1b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
16.1b
(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 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)
8.0ms
(/ 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)

series341.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
42.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
81.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
196.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify2.0s

Counts
71 → 71
Iterations
IterNodes
done5003
32523
2725
1266
0133

prune520.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma z (+ z 6.012459259764103) 3.350343815022304)
0.1b
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
4.1b
(/ y (fma z (+ z 6.012459259764103) 3.350343815022304))
16.1b
(fma (/ y (fma z (+ z 6.012459259764103) 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 (+ z 6.012459259764103) 3.350343815022304)
0.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
7.0ms
(/ 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)

series383.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma z (+ z 6.012459259764103) 3.350343815022304)
35.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
112.0ms
(/ y (fma z (+ z 6.012459259764103) 3.350343815022304))
200.0ms
(fma (/ y (fma z (+ z 6.012459259764103) 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify1.9s

Counts
71 → 71
Iterations
IterNodes
done5064
32750
2746
1266
0133

prune469.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
0.9b
(/ 1 (/ (fma z (+ z 6.012459259764103) 3.350343815022304) y))
4.0b
(/ (fma z (+ z 6.012459259764103) 3.350343815022304) y)
16.1b
(fma (/ 1 (/ (fma z (+ z 6.012459259764103) 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite25.0ms

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 (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
12.0ms
(/ 1 (/ (fma z (+ z 6.012459259764103) 3.350343815022304) y))
8.0ms
(/ (fma z (+ z 6.012459259764103) 3.350343815022304) y)
1.0ms
(fma (/ 1 (/ (fma z (+ z 6.012459259764103) 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series320.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
78.0ms
(/ 1 (/ (fma z (+ z 6.012459259764103) 3.350343815022304) y))
74.0ms
(/ (fma z (+ z 6.012459259764103) 3.350343815022304) y)
132.0ms
(fma (/ 1 (/ (fma z (+ z 6.012459259764103) 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify2.5s

Counts
139 → 139
Iterations
IterNodes
done5000
33410
21151
1516
0229

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

4.0b
(/ (fma z (+ z 6.012459259764103) 3.350343815022304) y)
15.2b
(sqrt (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525))
15.2b
(sqrt (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525))
16.1b
(fma (/ 1 (/ (fma z (+ z 6.012459259764103) 3.350343815022304) y)) (* (sqrt (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)) (sqrt (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525))) x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
9×times-frac
6×pow1 add-cbrt-cube add-exp-log sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
4 → 69
Calls
4 calls:
7.0ms
(/ (fma z (+ z 6.012459259764103) 3.350343815022304) y)
2.0ms
(sqrt (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525))
2.0ms
(sqrt (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525))
1.0ms
(fma (/ 1 (/ (fma z (+ z 6.012459259764103) 3.350343815022304) y)) (* (sqrt (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)) (sqrt (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525))) x)

series501.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ (fma z (+ z 6.012459259764103) 3.350343815022304) y)
136.0ms
(sqrt (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525))
131.0ms
(sqrt (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525))
156.0ms
(fma (/ 1 (/ (fma z (+ z 6.012459259764103) 3.350343815022304) y)) (* (sqrt (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)) (sqrt (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525))) x)

simplify2.2s

Counts
81 → 81
Iterations
IterNodes
done5000
32291
2743
1287
0140

prune637.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes538.0ms

Accuracy

99.1% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 16.9b

bsearch215.0ms

Steps
ItersRangePoint
7
110585599.62796573
19308167340.91292
124304173.40660763
10
-2.980140140225388e+37
-2.4055631226379928e+27
-2.4257872769742396e+27

simplify12.0ms

Iterations
IterNodes
done40
140
028

end0.0ms

sample1.2s

Algorithm
intervals
Results
881.0ms8000×body80valid