Details

Time bar (total: 13.8s)

sample121.0ms

Algorithm
intervals
Results
21.0ms263×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done2008
122008
111500
10683
9461
8399
7365
6329
5270
4221
3134
265
125
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
16.6b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite84.0ms

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 insert-posit16 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 → 76
Calls
2 calls:
48.0ms
(* (+ t1 u) (+ t1 u))
32.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (+ t1 u) (+ t1 u))
110.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify929.0ms

Counts
82 → 82
Iterations
IterNodes
done2000
22000
1427
0118

prune276.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite101.0ms

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 insert-posit16 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 → 201
Calls
3 calls:
17.0ms
(/ v (+ t1 u))
24.0ms
(/ (- t1) (+ t1 u))
54.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series263.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ v (+ t1 u))
64.0ms
(/ (- t1) (+ t1 u))
163.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify965.0ms

Counts
210 → 210
Iterations
IterNodes
done2000
22000
1656
0222

prune879.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
9.1b
(cbrt (/ (- t1) (+ t1 u)))
9.1b
(cbrt (/ (- t1) (+ t1 u)))
9.1b
(cbrt (/ (- t1) (+ t1 u)))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
147×*-un-lft-identity
138×cbrt-prod
132×times-frac
81×add-sqr-sqrt add-cube-cbrt
36×distribute-lft-neg-in distribute-rgt-neg-in
33×distribute-lft-out
27×cbrt-div
25×add-exp-log
18×associate-*r*
17×frac-times add-cbrt-cube associate-*l/
13×pow1
12×neg-mul-1 prod-exp cbrt-unprod
8×associate-/r/
7×associate-*r/
6×pow-prod-down
4×expm1-log1p-u flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative
Counts
4 → 234
Calls
4 calls:
254.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
4.0ms
(cbrt (/ (- t1) (+ t1 u)))
4.0ms
(cbrt (/ (- t1) (+ t1 u)))
4.0ms
(cbrt (/ (- t1) (+ t1 u)))

series1.1s

Counts
4 → 12
Calls
4 calls:
275.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
256.0ms
(cbrt (/ (- t1) (+ t1 u)))
326.0ms
(cbrt (/ (- t1) (+ t1 u)))
289.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify1.4s

Counts
246 → 246
Iterations
IterNodes
done2006
32006
21811
1614
0262

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
1.1b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
6.0b
(* (- t1) (/ v (+ t1 u)))

rewrite88.0ms

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-+ insert-posit16 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 → 116
Calls
3 calls:
9.0ms
(/ v (+ t1 u))
39.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
39.0ms
(* (- t1) (/ v (+ t1 u)))

series234.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ v (+ t1 u))
113.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
81.0ms
(* (- t1) (/ v (+ t1 u)))

simplify1.3s

Counts
125 → 125
Iterations
IterNodes
done2062
32062
21491
1415
0145

prune552.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done21
421
319
216
112
08

end0.0ms

sample1.1s

Algorithm
intervals
Results
849.0ms8240×body80valid