Details

Time bar (total: 5.9s)

sample34.0ms

Algorithm
intervals
Results
17.0ms338×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12711
27411
315811
424511
531111
637211
749811
8102311
9370211
done500011

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
16.0b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
8.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (* z z) (+ z 1.0))
15.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify496.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
0112858
1375794
22002626
done5001626

prune88.0ms

Filtered
34 candidates to 57 candidates (-67.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New49857
Fresh000
Picked101
Done000
Total50858

Merged error: 7.9b

Counts
58 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

5.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.6b
(/ x (* z z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×associate-/r/ add-log-exp
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative flip-+
Counts
2 → 74
Calls
2 calls:
15.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.0ms
(/ x (* z z))

series22.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.0ms
(/ x (* z z))

simplify456.0ms

Counts
80 → 80
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
01501125
14681059
22028893
done5000893

prune127.0ms

Filtered
51 candidates to 80 candidates (-56.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New74680
Fresh437
Picked101
Done000
Total79988

Merged error: 0.0b

Counts
88 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

1.9b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
3.4b
(* (/ x z) (/ y (+ z 1.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
91×add-exp-log
55×add-cbrt-cube
40×prod-exp
36×add-sqr-sqrt
34×times-frac
30×*-un-lft-identity div-exp
26×associate-*l*
24×add-cube-cbrt
22×cbrt-unprod
19×associate-*r*
17×cbrt-undiv
9×pow1
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ unswap-sqr
3×div-inv distribute-lft-out
2×associate-/r/ *-commutative add-log-exp
1×flip3-+ flip-+
Counts
2 → 116
Calls
2 calls:
15.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
17.0ms
(* (/ x z) (/ y (+ z 1.0)))

series24.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
12.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify672.0ms

Counts
122 → 122
Iterations

Useful iterations: 2 (263.0ms)

IterNodesCost
02282044
17351820
232901446
done50011446

prune151.0ms

Filtered
72 candidates to 122 candidates (-69.4%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1175122
Fresh268
Picked011
Done000
Total11912131

Merged error: 0.0b

Counts
131 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.9b
(* (/ 1 z) (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
2.9b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
688×add-exp-log
379×prod-exp
252×div-exp
213×add-cbrt-cube
128×cbrt-unprod
82×cbrt-undiv
76×1-exp
26×rec-exp
22×frac-times associate-*r/
20×associate-*l*
18×pow1
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
10×associate-*l/
9×pow-prod-down
6×cbrt-prod
4×add-log-exp
2×pow1/3 associate-*r* *-commutative div-inv
Counts
4 → 263
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
26.0ms
(* (/ 1 z) (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
18.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series89.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(cbrt x)
24.0ms
(cbrt x)
15.0ms
(* (/ 1 z) (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
16.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify407.0ms

Counts
275 → 275
Iterations

Useful iterations: done (399.0ms)

IterNodesCost
03907748
114136157
done50013872

prune142.0ms

Filtered
86 candidates to 275 candidates (-219.8%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New2741275
Fresh01010
Picked101
Done011
Total27512287

Merged error: 0b

Counts
287 → 12

regimes454.0ms

Accuracy

20.7% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 3.0b

bsearch31.0ms

Steps
ItersRangePoint
6
4.8461344139268896e-188
3.5804338955674786e-187
1.5217393649656762e-187
7
-3.1471820945010626e-136
-5.261615727066757e-138
-1.1629871688018849e-137

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02045
12933
done2933

end0.0ms

sample837.0ms

Algorithm
intervals
Results
409.0ms10679×body80valid

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