Details

Time bar (total: 13.2s)

sample119.0ms

Algorithm
intervals
Results
11.0ms262×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5000
101417
9670
8579
7535
6492
5411
4271
3144
267
125
08

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ u t1) (+ t1 u))
3.1b
(* (/ t1 (* (+ u t1) (+ t1 u))) (- v))
16.1b
(/ t1 (* (+ u t1) (+ t1 u)))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube associate-*l* add-exp-log
18×flip3-+ flip-+
16×add-sqr-sqrt *-un-lft-identity associate-/r/
14×associate-*r*
12×frac-times add-cube-cbrt
7×pow1 associate-*l/
6×times-frac prod-exp associate-*r/ cbrt-unprod
4×cbrt-undiv div-exp
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in log1p-expm1-u associate-/l* add-log-exp
2×pow-prod-down *-commutative div-inv distribute-lft-out unswap-sqr
1×distribute-rgt-in clear-num associate-/r* neg-mul-1 frac-2neg distribute-lft-in distribute-rgt-neg-out
Counts
3 → 108
Calls
3 calls:
41.0ms
(* (+ u t1) (+ t1 u))
77.0ms
(* (/ t1 (* (+ u t1) (+ t1 u))) (- v))
24.0ms
(/ t1 (* (+ u t1) (+ t1 u)))

series276.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* (+ u t1) (+ t1 u))
154.0ms
(* (/ t1 (* (+ u t1) (+ t1 u))) (- v))
96.0ms
(/ t1 (* (+ u t1) (+ t1 u)))

simplify2.4s

Counts
117 → 117
Iterations
IterNodes
done5000
24485
1556
0171

prune658.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t1 (+ t1 u))
0.4b
(/ (* v (/ t1 (+ t1 u))) (+ t1 u))
2.4b
(* v (/ t1 (+ t1 u)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
29×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt
19×add-cbrt-cube add-exp-log
18×associate-*r*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×expm1-log1p-u flip3-+ associate-*l* flip-+ log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 104
Calls
3 calls:
20.0ms
(/ t1 (+ t1 u))
34.0ms
(/ (* v (/ t1 (+ t1 u))) (+ t1 u))
34.0ms
(* v (/ t1 (+ t1 u)))

series202.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ t1 (+ t1 u))
84.0ms
(/ (* v (/ t1 (+ t1 u))) (+ t1 u))
58.0ms
(* v (/ t1 (+ t1 u)))

simplify785.0ms

Counts
113 → 113
Iterations
IterNodes
done5001
21655
1345
0130

prune581.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ t1 u))
0.2b
(* t1 (/ 1 (+ t1 u)))
0.4b
(/ (* v (* t1 (/ 1 (+ t1 u)))) (+ t1 u))
2.4b
(* v (* t1 (/ 1 (+ t1 u))))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
44×*-un-lft-identity
34×add-cbrt-cube
32×add-sqr-sqrt
30×times-frac
25×add-cube-cbrt
22×prod-exp
19×associate-*r*
14×div-exp
12×pow1 cbrt-unprod
9×distribute-lft-out
8×cbrt-undiv associate-/r*
7×associate-*r/
6×associate-*l* associate-/r/
4×expm1-log1p-u rec-exp 1-exp pow-prod-down log1p-expm1-u associate-/l* add-log-exp
3×flip3-+ un-div-inv flip-+ div-inv unswap-sqr
2×clear-num frac-2neg *-commutative associate-/l/
1×pow-flip inv-pow
Counts
4 → 143
Calls
4 calls:
19.0ms
(/ 1 (+ t1 u))
46.0ms
(* t1 (/ 1 (+ t1 u)))
57.0ms
(/ (* v (* t1 (/ 1 (+ t1 u)))) (+ t1 u))
59.0ms
(* v (* t1 (/ 1 (+ t1 u))))

series228.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ 1 (+ t1 u))
57.0ms
(* t1 (/ 1 (+ t1 u)))
70.0ms
(/ (* v (* t1 (/ 1 (+ t1 u)))) (+ t1 u))
52.0ms
(* v (* t1 (/ 1 (+ t1 u))))

simplify1.4s

Counts
155 → 155
Iterations
IterNodes
done5002
22809
1450
0161

prune590.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t1 (+ t1 u))
0.4b
(/ (* (* (/ t1 (+ t1 u)) (/ v (- t1 u))) (- t1 u)) (+ t1 u))
1.0b
(* (/ t1 (+ t1 u)) (/ v (- t1 u)))
11.1b
(* (* (/ t1 (+ t1 u)) (/ v (- t1 u))) (- t1 u))

rewrite350.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
65×add-sqr-sqrt
61×add-cbrt-cube add-exp-log
47×times-frac
45×add-cube-cbrt
26×associate-*r*
22×prod-exp cbrt-unprod
19×frac-times cbrt-undiv div-exp associate-*l*
18×prod-diff
13×associate-*l/
11×distribute-rgt-in pow1 distribute-lft-in associate-*r/ associate-/l/
9×flip3-- flip-- distribute-lft-out
8×associate-/r* associate-/r/
4×expm1-log1p-u pow-prod-down log1p-expm1-u div-inv associate-/l* distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
3×flip3-+ flip-+
2×clear-num sub-neg frac-2neg *-commutative
Counts
4 → 207
Calls
4 calls:
19.0ms
(/ t1 (+ t1 u))
116.0ms
(/ (* (* (/ t1 (+ t1 u)) (/ v (- t1 u))) (- t1 u)) (+ t1 u))
84.0ms
(* (/ t1 (+ t1 u)) (/ v (- t1 u)))
121.0ms
(* (* (/ t1 (+ t1 u)) (/ v (- t1 u))) (- t1 u))

series492.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ t1 (+ t1 u))
194.0ms
(/ (* (* (/ t1 (+ t1 u)) (/ v (- t1 u))) (- t1 u)) (+ t1 u))
137.0ms
(* (/ t1 (+ t1 u)) (/ v (- t1 u)))
113.0ms
(* (* (/ t1 (+ t1 u)) (/ v (- t1 u))) (- t1 u))

simplify550.0ms

Counts
219 → 219
Iterations
IterNodes
done5001
1971
0296

prune986.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done32
432
329
223
117
010

end0.0ms

sample1.4s

Algorithm
intervals
Results
982.0ms8249×body80valid