Details

Time bar (total: 12.7s)

sample166.0ms

Algorithm
intervals
Results
19.0ms261×body80valid

simplify1.4s

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: 14.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ u t1) (+ t1 u))
3.2b
(* (/ t1 (* (+ u t1) (+ t1 u))) (- v))
17.4b
(/ t1 (* (+ u t1) (+ t1 u)))

rewrite120.0ms

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:
28.0ms
(* (+ u t1) (+ t1 u))
69.0ms
(* (/ t1 (* (+ u t1) (+ t1 u))) (- v))
16.0ms
(/ t1 (* (+ u t1) (+ t1 u)))

series355.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* (+ u t1) (+ t1 u))
220.0ms
(* (/ t1 (* (+ u t1) (+ t1 u))) (- v))
108.0ms
(/ t1 (* (+ u t1) (+ t1 u)))

simplify2.2s

Counts
117 → 117
Iterations
IterNodes
done5000
24485
1556
0171

prune671.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

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:
17.0ms
(/ t1 (+ t1 u))
35.0ms
(/ (* v (/ t1 (+ t1 u))) (+ t1 u))
24.0ms
(* v (/ t1 (+ t1 u)))

series216.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ t1 (+ t1 u))
91.0ms
(/ (* v (/ t1 (+ t1 u))) (+ t1 u))
67.0ms
(* v (/ t1 (+ t1 u)))

simplify831.0ms

Counts
113 → 113
Iterations
IterNodes
done5001
21655
1345
0130

prune534.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t1 (+ t1 u))
0.7b
(/ (* (* (/ t1 (+ t1 u)) (/ v (- t1 u))) (- t1 u)) (+ t1 u))
1.8b
(* (/ t1 (+ t1 u)) (/ v (- t1 u)))
9.9b
(* (* (/ t1 (+ t1 u)) (/ v (- t1 u))) (- t1 u))

rewrite334.0ms

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:
18.0ms
(/ t1 (+ t1 u))
117.0ms
(/ (* (* (/ t1 (+ t1 u)) (/ v (- t1 u))) (- t1 u)) (+ t1 u))
75.0ms
(* (/ t1 (+ t1 u)) (/ v (- t1 u)))
110.0ms
(* (* (/ t1 (+ t1 u)) (/ v (- t1 u))) (- t1 u))

series468.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ t1 (+ t1 u))
203.0ms
(/ (* (* (/ t1 (+ t1 u)) (/ v (- t1 u))) (- t1 u)) (+ t1 u))
101.0ms
(* (/ t1 (+ t1 u)) (/ v (- t1 u)))
109.0ms
(* (* (/ t1 (+ t1 u)) (/ v (- t1 u))) (- t1 u))

simplify588.0ms

Counts
219 → 219
Iterations
IterNodes
done5001
1971
0296

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
139×*-un-lft-identity
129×times-frac
105×add-sqr-sqrt
61×add-cbrt-cube add-exp-log add-cube-cbrt
35×associate-/r*
29×cbrt-undiv div-exp
23×distribute-lft-out
21×associate-*r*
18×associate-*l*
16×distribute-lft-out-- difference-of-squares
13×associate-/r/
12×prod-exp cbrt-unprod
8×associate-/l*
7×div-inv
6×pow1
5×associate-/l/
4×expm1-log1p-u flip3-- log1p-expm1-u flip-- add-log-exp unswap-sqr
3×clear-num frac-2neg flip3-+ flip-+
2×frac-times associate-*l/ associate-*r/
1×pow-prod-down *-commutative
Counts
4 → 236
Calls
4 calls:
67.0ms
(/ (* (/ t1 (+ t1 u)) (/ v (- t1 u))) (/ (+ t1 u) (- t1 u)))
19.0ms
(/ t1 (+ t1 u))
41.0ms
(/ (+ t1 u) (- t1 u))
68.0ms
(* (/ t1 (+ t1 u)) (/ v (- t1 u)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(/ (* (/ t1 (+ t1 u)) (/ v (- t1 u))) (/ (+ t1 u) (- t1 u)))
66.0ms
(/ t1 (+ t1 u))
95.0ms
(/ (+ t1 u) (- t1 u))
126.0ms
(* (/ t1 (+ t1 u)) (/ v (- t1 u)))

simplify585.0ms

Counts
248 → 248
Iterations
IterNodes
done5001
1982
0295

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done25
325
221
115
011

end0.0ms

sample887.0ms

Algorithm
intervals
Results
525.0ms8252×body80valid