Details

Time bar (total: 14.7s)

sample143.0ms

Algorithm
intervals
Results
62.0ms261×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0812
12512
26712
314412
427112
541112
649212
753512
857912
967012
10141712
done500012

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.7b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-cbrt-cube add-exp-log
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×swap-sqr add-cube-cbrt distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*r* associate-*l* associate-*l/ associate-*r/
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac pow-plus pow-prod-down distribute-frac-neg pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 74
Calls
2 calls:
49.0ms
(* (+ t1 u) (+ t1 u))
20.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (+ t1 u) (+ t1 u))
117.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.9s

Counts
80 → 80
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01161120
14301032
23391869
done5001858

prune339.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.8b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-cbrt-cube add-exp-log
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg distribute-frac-neg
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 198
Calls
3 calls:
12.0ms
(/ (- t1) (+ t1 u))
9.0ms
(/ v (+ t1 u))
89.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series286.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(/ (- t1) (+ t1 u))
43.0ms
(/ v (+ t1 u))
162.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.7s

Counts
207 → 207
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02192553
16552446
236652296
done50002290

prune857.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.7b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
3.0b
(* (/ (- t1) (+ t1 u)) v)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
85×times-frac
60×add-sqr-sqrt
55×add-cube-cbrt
46×associate-*l*
27×distribute-lft-neg-in distribute-rgt-neg-in
23×distribute-lft-out
19×add-cbrt-cube add-exp-log
11×associate-/l*
9×neg-mul-1
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp distribute-frac-neg cbrt-unprod
3×expm1-log1p-u flip3-+ associate-*r* flip-+ log1p-expm1-u div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*l/ unswap-sqr
1×neg-sub0 div-sub pow-prod-down *-commutative associate-/l/
Counts
3 → 171
Calls
3 calls:
16.0ms
(/ (- t1) (+ t1 u))
20.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
36.0ms
(* (/ (- t1) (+ t1 u)) v)

series347.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ (- t1) (+ t1 u))
176.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
111.0ms
(* (/ (- t1) (+ t1 u)) v)

simplify1.5s

Counts
180 → 180
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01982031
15251948
228561796
done50001794

prune806.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) v)) (+ t1 u))
9.4b
(cbrt (/ (- t1) (+ t1 u)))
9.4b
(cbrt (/ (- t1) (+ t1 u)))
9.4b
(cbrt (/ (- t1) (+ t1 u)))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
139×*-un-lft-identity
138×cbrt-prod
124×times-frac
75×add-sqr-sqrt add-cube-cbrt
36×distribute-lft-neg-in distribute-rgt-neg-in
32×distribute-lft-out
22×add-exp-log
16×add-cbrt-cube
15×cbrt-div
12×neg-mul-1
9×associate-*l/
8×prod-exp associate-/r/ cbrt-unprod
7×associate-/l/
5×frac-times cbrt-undiv div-exp
4×expm1-log1p-u pow1 associate-/r* flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
3×pow1/3 associate-*r/
1×clear-num frac-2neg associate-/l*
Counts
4 → 211
Calls
4 calls:
157.0ms
(/ (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) v)) (+ t1 u))
13.0ms
(cbrt (/ (- t1) (+ t1 u)))
7.0ms
(cbrt (/ (- t1) (+ t1 u)))
11.0ms
(cbrt (/ (- t1) (+ t1 u)))

series1.2s

Counts
4 → 12
Calls
4 calls:
280.0ms
(/ (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) v)) (+ t1 u))
293.0ms
(cbrt (/ (- t1) (+ t1 u)))
280.0ms
(cbrt (/ (- t1) (+ t1 u)))
298.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify924.0ms

Counts
223 → 223
Iterations

Useful iterations: done (913.0ms)

IterNodesCost
02253973
15113772
220753166
done50013009

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes250.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11212
21612
31912
42112
done2112

end0.0ms

sample1.3s

Algorithm
intervals
Results
913.0ms8252×body80valid