Details

Time bar (total: 20.4s)

sample48.0ms

Algorithm
intervals
Results
22.0ms345×body80valid

simplify5.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27511
316411
425111
531011
636311
749911
8107611
9448611
done500011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.5b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite74.0ms

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:
34.0ms
(* (* z z) (+ z 1.0))
38.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series226.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(* (* z z) (+ z 1.0))
130.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.1s

Counts
57 → 57
Iterations

Useful iterations: 2 (350.0ms)

IterNodesCost
0112858
1343788
21881626
done5000626

prune135.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.5b
(/ x (* z z))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
12.0ms
(/ y (+ z 1.0))
90.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
21.0ms
(/ x (* z z))

series134.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ y (+ z 1.0))
71.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
24.0ms
(/ x (* z z))

simplify1.6s

Counts
116 → 116
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01801501
14851416
218071228
done50001214

prune296.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
67×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×prod-exp cbrt-unprod
35×*-un-lft-identity
29×add-cube-cbrt associate-*l*
26×cbrt-undiv div-exp
19×associate-*r*
17×cbrt-prod
11×pow1
6×frac-times associate-*r/ unswap-sqr
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv distribute-lft-out
2×pow1/3 associate-/r/ *-commutative
1×flip3-+ flip-+
Counts
4 → 143
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
52.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
104.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series802.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(cbrt x)
259.0ms
(cbrt x)
188.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
118.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify2.1s

Counts
155 → 155
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02652776
17962632
232281922
done50011720

prune429.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.1b
(/ z (/ y (+ z 1.0)))
3.4b
(/ (/ x z) (/ z (/ y (+ z 1.0))))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
2681×times-frac
1369×*-un-lft-identity
1085×add-sqr-sqrt add-cube-cbrt
142×distribute-lft-out
123×div-inv
110×associate-/r/
81×associate-/r*
47×flip3-+ flip-+
31×add-exp-log add-cbrt-cube
19×cbrt-undiv div-exp associate-/l*
3×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
3 → 986
Calls
3 calls:
12.0ms
(/ y (+ z 1.0))
18.0ms
(/ z (/ y (+ z 1.0)))
70.0ms
(/ (/ x z) (/ z (/ y (+ z 1.0))))

series159.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ y (+ z 1.0))
46.0ms
(/ z (/ y (+ z 1.0)))
66.0ms
(/ (/ x z) (/ z (/ y (+ z 1.0))))

simplify2.5s

Counts
995 → 995
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0152726823
1422624664
done500024216

prune3.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes231.0ms

Accuracy

81.3% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03189
13683
done3683

end0.0ms

sample1.1s

Algorithm
intervals
Results
663.0ms10772×body80valid