Details

Time bar (total: 18.7s)

sample123.0ms

Algorithm
intervals
Results
11.0ms266×body80valid

simplify5.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0812
12512
26712
314412
423012
528812
633912
737812
842212
950712
1068612
11157512
done500112

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite110.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 74
Calls
2 calls:
44.0ms
(* (+ t1 u) (+ t1 u))
61.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (+ t1 u) (+ t1 u))
106.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.5s

Counts
80 → 80
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01171120
13741025
21783869
done5001858

prune202.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite169.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 198
Calls
3 calls:
19.0ms
(/ (- t1) (+ t1 u))
22.0ms
(/ v (+ t1 u))
119.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series266.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ (- t1) (+ t1 u))
32.0ms
(/ v (+ t1 u))
176.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.7s

Counts
207 → 207
Iterations

Useful iterations: 2 (464.0ms)

IterNodesCost
02192553
15882436
218532282
done50012282

prune547.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

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)

rewrite170.0ms

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×expm1-log1p-u flip3-+ associate-*r* flip-+ log1p-expm1-u 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 → 171
Calls
3 calls:
20.0ms
(/ (- t1) (+ t1 u))
61.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
82.0ms
(* (/ (- t1) (+ t1 u)) v)

series369.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(/ (- t1) (+ t1 u))
159.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
138.0ms
(* (/ (- t1) (+ t1 u)) v)

simplify1.7s

Counts
180 → 180
Iterations

Useful iterations: 2 (475.0ms)

IterNodesCost
01982031
14761942
215311782
done50011782

prune580.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

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)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
78×cbrt-prod
37×add-sqr-sqrt
33×*-un-lft-identity
29×add-cube-cbrt
23×distribute-rgt-neg-in
21×distribute-lft-neg-in
15×swap-sqr
13×associate-*r* associate-*l*
11×pow1
9×pow1/3
7×neg-mul-1
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 125
Calls
4 calls:
4.0ms
(cbrt (- t1))
4.0ms
(cbrt (- t1))
3.0ms
(cbrt (- t1))
44.0ms
(* (cbrt (- t1)) (cbrt (- t1)))

series1.2s

Counts
4 → 12
Calls
4 calls:
277.0ms
(cbrt (- t1))
344.0ms
(cbrt (- t1))
268.0ms
(cbrt (- t1))
338.0ms
(* (cbrt (- t1)) (cbrt (- t1)))

simplify2.2s

Counts
137 → 137
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0951096
1155997
2406925
3845878
42397829
done5000814

prune617.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11212
21612
31912
42112
done2112

end0.0ms

sample1.4s

Algorithm
intervals
Results
529.0ms8244×body80valid