Details

Time bar (total: 18.5s)

sample229.0ms

Algorithm
intervals
Results
117.0ms265×body80valid

simplify2.0s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.8b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite78.0ms

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:
51.0ms
(* (+ t1 u) (+ t1 u))
21.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series184.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (+ t1 u) (+ t1 u))
150.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify2.2s

Counts
80 → 80
Iterations
IterNodes
done5001
23391
1430
0116

prune331.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.7b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite141.0ms

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))
103.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series326.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(/ (- t1) (+ t1 u))
48.0ms
(/ v (+ t1 u))
205.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.0s

Counts
207 → 207
Iterations
IterNodes
done5000
23665
1655
0219

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.4b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
7.0b
(* (- t1) (/ v (+ t1 u)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-cbrt-cube add-exp-log
18×associate-*r*
10×associate-*l*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*r/ unswap-sqr
1×neg-mul-1 pow-prod-down distribute-frac-neg *-commutative associate-/l/
Counts
3 → 113
Calls
3 calls:
9.0ms
(/ v (+ t1 u))
23.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
57.0ms
(* (- t1) (/ v (+ t1 u)))

series270.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ v (+ t1 u))
146.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
86.0ms
(* (- t1) (/ v (+ t1 u)))

simplify2.4s

Counts
122 → 122
Iterations
IterNodes
done5001
23169
1413
0142

prune680.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.5b
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
7.0b
(* (- t1) (/ v (+ t1 u)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
49×add-exp-log
37×times-frac
36×add-sqr-sqrt associate-*r*
31×add-cbrt-cube add-cube-cbrt
22×prod-exp
12×div-exp cbrt-unprod
11×associate-*l*
10×pow1 distribute-lft-out
7×cbrt-undiv
6×associate-/r/
4×associate-/r* pow-prod-down associate-*r/
3×distribute-lft-neg-out distribute-lft-neg-in expm1-log1p-u rec-exp distribute-rgt-neg-in flip3-+ 1-exp flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times clear-num neg-mul-1 frac-2neg associate-*l/ un-div-inv
Counts
3 → 136
Calls
3 calls:
18.0ms
(/ v (+ t1 u))
70.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
33.0ms
(* (- t1) (/ v (+ t1 u)))

series213.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ v (+ t1 u))
118.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
58.0ms
(* (- t1) (/ v (+ t1 u)))

simplify3.6s

Counts
145 → 145
Iterations
IterNodes
done5000
24330
1573
0181

prune674.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes277.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done21
321
218
112
08

end0.0ms

sample1.3s

Algorithm
intervals
Results
930.0ms8247×body80valid