Details

Time bar (total: 20.4s)

sample102.0ms

Algorithm
intervals
Results
18.0ms266×body80valid

simplify4.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0812
12512
26512
313212
419812
523812
627412
729412
833412
940712
1052812
11131012
done500012

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
18.8b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×add-cube-cbrt swap-sqr distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate-*r* associate-*l* associate-*l/
2×add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-plus distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 70
Calls
2 calls:
72.0ms
(* (+ t1 u) (+ t1 u))
45.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series147.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (+ t1 u) (+ t1 u))
128.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.1s

Counts
76 → 76
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01131078
1365990
21712834
done5000831

prune177.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
0.5b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite162.0ms

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-exp-log add-cbrt-cube
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×add-log-exp
2×frac-2neg distribute-frac-neg clear-num
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 192
Calls
3 calls:
16.0ms
(/ (- t1) (+ t1 u))
18.0ms
(/ v (+ t1 u))
119.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series228.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ (- t1) (+ t1 u))
29.0ms
(/ v (+ t1 u))
132.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.6s

Counts
201 → 201
Iterations

Useful iterations: 2 (362.0ms)

IterNodesCost
02132501
15792385
218172231
done50012231

prune562.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.3b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
0.5b
(* (/ (- t1) (+ t1 u)) v)

rewrite144.0ms

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-exp-log add-cbrt-cube
11×associate-/l*
9×neg-mul-1
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×distribute-frac-neg prod-exp cbrt-unprod
3×flip3-+ associate-*r* flip-+ div-inv add-log-exp
2×distribute-lft-neg-out frac-2neg associate-*l/ clear-num unswap-sqr
1×neg-sub0 div-sub pow-prod-down *-commutative associate-/l/
Counts
3 → 165
Calls
3 calls:
34.0ms
(/ (- t1) (+ t1 u))
48.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
48.0ms
(* (/ (- t1) (+ t1 u)) v)

series352.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(/ (- t1) (+ t1 u))
171.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
104.0ms
(* (/ (- t1) (+ t1 u)) v)

simplify1.8s

Counts
174 → 174
Iterations

Useful iterations: 2 (453.0ms)

IterNodesCost
01921973
14671885
214971725
done50001725

prune450.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.6b
(* (cbrt t1) (cbrt t1))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
2.0ms
(cbrt t1)
2.0ms
(cbrt t1)
2.0ms
(cbrt t1)
18.0ms
(* (cbrt t1) (cbrt t1))

series1.2s

Counts
4 → 12
Calls
4 calls:
302.0ms
(cbrt t1)
271.0ms
(cbrt t1)
261.0ms
(cbrt t1)
325.0ms
(* (cbrt t1) (cbrt t1))

simplify6.0s

Counts
85 → 85
Iterations

Useful iterations: done (6.0s)

IterNodesCost
061524
1115417
2321397
31098379
44542374
done5000364

prune355.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11212
21612
31912
42112
done2112

end0.0ms

sample878.0ms

Algorithm
intervals
Results
515.0ms8244×body80valid