Details

Time bar (total: 3.4s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify89.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0387
1727
21676
33546
46466
59216
610606
713316
817926
918606
1018616
1118616
done18616

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
5.1b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
17.5b
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
0.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
5.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series230.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
63.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
141.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify98.0ms

Counts
58 → 58
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0232361
1733322
23221319
35002317
done5002317

prune210.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

16.9b
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
16.9b
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
16.9b
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
17.5b
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (* (* (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
1.0ms
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
1.0ms
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
0.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (* (* (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) x)

series567.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
144.0ms
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
144.0ms
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
137.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (* (* (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) x)

simplify72.0ms

Counts
61 → 61
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0242727
1706658
22611584
35001579
done5001579

prune285.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

17.1b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
17.1b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
17.1b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
17.5b
(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms
(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series407.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
104.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
105.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
91.0ms
(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify74.0ms

Counts
61 → 61
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0194563
1578504
22319479
35002461
done5002461

prune292.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (/ 0.07512208616047561 z) y (fma y 0.0692910599291889 x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ 0.07512208616047561 z) y (fma y 0.0692910599291889 x))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(fma (/ 0.07512208616047561 z) y (fma y 0.0692910599291889 x))

simplify54.0ms

Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03662
17852
228552
3184952
4500252
done500252

prune27.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes175.0ms

Accuracy

98.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 17.0b

bsearch110.0ms

Steps
ItersRangePoint
8
892369.0132880388
49821777349.62285
215659622.07585543
8
-2.3550646907435706e+68
-2.1520535606551395e+65
-2.19347987439559e+65

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03110
13110
done3110

end0.0ms

sample527.0ms

Algorithm
intervals
Results
310.0ms8000×body80valid