Details

Time bar (total: 16.0s)

sample40.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
done5000
103779
92852
82267
71902
61547
5966
4418
3167
272
138
018

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.9b

localize20.0ms

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)
0.1b
(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y x)
15.4b
(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

rewrite8.0ms

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)
0.0ms
(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y x)
5.0ms
(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

series353.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
45.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
177.0ms
(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y x)
103.0ms
(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

simplify1.4s

Counts
71 → 71
Iterations
IterNodes
done5002
32290
2606
1229
0118

prune541.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.1b
(fma (* (sqrt (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))) (sqrt (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))) y x)
15.4b
(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))
15.4b
(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
8×add-cbrt-cube add-exp-log
6×associate-/r* associate-/l*
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
2×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
4 → 78
Calls
4 calls:
0.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.0ms
(fma (* (sqrt (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))) (sqrt (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))) y x)
4.0ms
(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))
4.0ms
(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

series387.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
132.0ms
(fma (* (sqrt (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))) (sqrt (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))) y x)
122.0ms
(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))
98.0ms
(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

simplify1.1s

Counts
90 → 90
Iterations
IterNodes
done5002
32298
2604
1213
0110

prune841.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.1b
(fma (exp (log (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))) y x)
0.5b
(exp (log (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))))
15.4b
(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
13×log-prod exp-sum
6×add-cbrt-cube add-exp-log
5×pow1
4×expm1-log1p-u exp-prod log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×fma-udef div-inv
1×cbrt-undiv log-div clear-num frac-2neg exp-diff div-exp log-pow rem-exp-log
Counts
4 → 77
Calls
4 calls:
0.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.0ms
(fma (exp (log (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))) y x)
5.0ms
(exp (log (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))))
4.0ms
(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

series427.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
142.0ms
(fma (exp (log (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))) y x)
125.0ms
(exp (log (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))))
104.0ms
(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

simplify1.3s

Counts
89 → 89
Iterations
IterNodes
done5000
33357
2816
1304
0169

prune635.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ z 6.012459259764103) z)
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.8b
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
20.1b
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-cbrt-cube add-exp-log
14×*-un-lft-identity
12×add-cube-cbrt
10×pow1 associate-*l*
9×associate-*r*
5×flip3-+ flip-+
4×expm1-log1p-u associate-*l/ prod-exp associate-*r/ cbrt-unprod log1p-expm1-u add-log-exp
3×associate-/r* times-frac pow-prod-down *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in div-inv distribute-lft-out associate-/l*
Counts
4 → 96
Calls
4 calls:
16.0ms
(* (+ z 6.012459259764103) z)
28.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
67.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
57.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series436.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (+ z 6.012459259764103) z)
129.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
79.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
156.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.5s

Counts
108 → 108
Iterations
IterNodes
done5002
22942
1579
0200

prune664.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes514.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.3b

bsearch186.0ms

Steps
ItersRangePoint
7
261980.93535209994
64260609.3427585
46621187.15457664
8
-17162450033537.03
-456708930.9521531
-464704203.05911154

simplify3.0ms

Iterations
IterNodes
done40
140
028

end0.0ms

sample1.0s

Algorithm
intervals
Results
788.0ms8000×body80valid