Details

Time bar (total: 9.8s)

sample27.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
01821
13818
27218
314217
427517
545817
667217
780217
898517
9111817
10117817
11117917
done117917

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.1b
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
3.2b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
14.7b
(fma (/ y (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
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 59
Calls
4 calls:
0.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
2.0ms
(/ 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)

series241.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
25.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
61.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
134.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.3s

Counts
71 → 71
Iterations

Useful iterations: 3 (291.0ms)

IterNodesCost
0129985
1249962
2731854
33215849
done5001849

prune261.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

14.5b
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
14.5b
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
14.5b
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
14.7b
(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)

rewrite3.0ms

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:
0.0ms
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
0.0ms
(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)

series568.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
143.0ms
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
144.0ms
(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
132.0ms
(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)

simplify882.0ms

Counts
61 → 61
Iterations

Useful iterations: 3 (248.0ms)

IterNodesCost
01081532
12441488
26911187
32719995
done5000995

prune280.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
14.0b
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.0b
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
14.7b
(fma (* (/ (* (cbrt y) (cbrt y)) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (/ (cbrt y) (sqrt (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×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod
2×rem-sqrt-square sqrt-pow1 pow1/2
1×pow1/3 fma-udef
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms
(fma (* (/ (* (cbrt y) (cbrt y)) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (/ (cbrt y) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series440.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
56.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
51.0ms
(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
159.0ms
(fma (* (/ (* (cbrt y) (cbrt y)) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (/ (cbrt y) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify672.0ms

Counts
65 → 65
Iterations

Useful iterations: 3 (184.0ms)

IterNodesCost
0103934
1203884
2529748
31829598
done5000598

prune286.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.8b
(exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))
3.2b
(/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
14.6b
(log (fma (+ z 6.012459259764103) z 3.350343815022304))
14.7b
(fma (/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×log-prod times-frac
15×exp-sum
6×pow1 add-exp-log associate-/r* add-cbrt-cube
4×expm1-log1p-u exp-prod log1p-expm1-u add-log-exp
3×associate-/l*
2×log-pow
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num fma-udef div-inv rem-exp-log
Counts
4 → 82
Calls
4 calls:
2.0ms
(exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))
4.0ms
(/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
1.0ms
(log (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms
(fma (/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series289.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))
59.0ms
(/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
69.0ms
(log (fma (+ z 6.012459259764103) z 3.350343815022304))
138.0ms
(fma (/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.7s

Counts
94 → 94
Iterations

Useful iterations: 3 (405.0ms)

IterNodesCost
01801536
13581313
210171155
341471148
done50001148

prune466.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes268.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.0b

bsearch107.0ms

Steps
ItersRangePoint
7
2942.2625356967415
64063.92193037696
63485.56364381746
7
-3.5710064929965375e+19
-4.5045000713410016e+17
-4.5762540562748646e+17

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02443
12835
done2835

end0.0ms

sample509.0ms

Algorithm
intervals
Results
326.0ms8000×body80valid