Details

Time bar (total: 42.5s)

sample70.0ms

Algorithm
intervals
Results
33.0ms256×body80valid

simplify7.0s

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

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.1b

localize113.0ms

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)
4.9b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
17.6b
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite18.0ms

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)
11.0ms
(/ 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)

series472.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
36.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
122.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
274.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify5.4s

Counts
75 → 75
Iterations
IterNodes
done5003
32598
2741
1270
0137

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize125.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
0.6b
(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
4.7b
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
17.6b
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite58.0ms

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 insert-posit16 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 → 131
Calls
4 calls:
1.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
28.0ms
(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
11.0ms
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
1.0ms
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series446.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
105.0ms
(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
66.0ms
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
214.0ms
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify6.4s

Counts
143 → 143
Iterations
IterNodes
done5040
33591
21172
1520
0233

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize136.0ms

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)
4.9b
(/ y (fma z (+ z 6.012459259764103) 3.350343815022304))
17.6b
(fma (* 1 (/ y (fma z (+ z 6.012459259764103) 3.350343815022304))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite36.0ms

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:
3.0ms
(fma z (+ z 6.012459259764103) 3.350343815022304)
3.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
23.0ms
(/ y (fma z (+ z 6.012459259764103) 3.350343815022304))
3.0ms
(fma (* 1 (/ y (fma z (+ z 6.012459259764103) 3.350343815022304))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series508.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(fma z (+ z 6.012459259764103) 3.350343815022304)
58.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
150.0ms
(/ y (fma z (+ z 6.012459259764103) 3.350343815022304))
269.0ms
(fma (* 1 (/ y (fma z (+ z 6.012459259764103) 3.350343815022304))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify5.3s

Counts
75 → 75
Iterations
IterNodes
done5003
32536
2726
1277
0138

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize197.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1 (* (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 1) (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) y)))
17.0b
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
17.0b
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
17.6b
(fma (/ 1 (* (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 1) (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) y))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log
35×div-exp
22×add-cbrt-cube
18×prod-exp
13×1-exp
10×add-sqr-sqrt
9×pow1 cbrt-undiv
8×*-un-lft-identity add-cube-cbrt
7×rec-exp
6×sqrt-prod
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×times-frac associate-/r/ associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 pow-flip
1×frac-times clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ associate-*r/ fma-udef div-inv inv-pow
Counts
4 → 95
Calls
4 calls:
83.0ms
(/ 1 (* (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 1) (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) y)))
4.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
7.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(fma (/ 1 (* (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 1) (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) y))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series460.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ 1 (* (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 1) (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) y)))
75.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
107.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
191.0ms
(fma (/ 1 (* (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 1) (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) y))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify7.4s

Counts
107 → 107
Iterations
IterNodes
done5002
33971
21140
1475
0187

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes994.0ms

Accuracy

99.5% (0.1b remaining)

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

bsearch254.0ms

Steps
ItersRangePoint
8
32.81305289360078
23716.851585869685
23415.342663009633
9
-46788795361090.23
-209901990.47645873
-482031916.41914016

simplify24.0ms

Iterations
IterNodes
done33
133
026

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8000×body80valid