Details

Time bar (total: 9.5s)

sample112.0ms

Algorithm
intervals
Results
52.0ms269×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2002
111500
10683
9461
8399
7365
6329
5270
4221
3134
265
125
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
18.9b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite64.0ms

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:
44.0ms
(* (+ t1 u) (+ t1 u))
18.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (+ t1 u) (+ t1 u))
118.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify491.0ms

Counts
82 → 82
Iterations
IterNodes
done2000
1427
0118

prune304.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

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:
10.0ms
(/ (- t1) (+ t1 u))
8.0ms
(/ v (+ t1 u))
40.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series275.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- t1) (+ t1 u))
48.0ms
(/ v (+ t1 u))
174.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify439.0ms

Counts
210 → 210
Iterations
IterNodes
done2001
1656
0222

prune783.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ t1 u))
0.6b
(cbrt v)
0.6b
(cbrt v)
0.6b
(cbrt v)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 59
Calls
4 calls:
5.0ms
(cbrt (+ t1 u))
1.0ms
(cbrt v)
1.0ms
(cbrt v)
2.0ms
(cbrt v)

series992.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt (+ t1 u))
242.0ms
(cbrt v)
274.0ms
(cbrt v)
299.0ms
(cbrt v)

simplify650.0ms

Counts
71 → 71
Iterations
IterNodes
done2000
31072
2428
1169
081

prune394.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ 1 (+ t1 u))
0.1b
(* (- t1) (/ 1 (+ t1 u)))
1.0b
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
70×*-un-lft-identity
54×add-exp-log
50×times-frac
48×add-sqr-sqrt
41×add-cube-cbrt
36×associate-*r*
34×add-cbrt-cube
22×prod-exp
14×div-exp distribute-lft-out
12×pow1 cbrt-unprod
11×associate-*l*
8×cbrt-undiv associate-/r* associate-/r/
6×associate-/l*
4×expm1-log1p-u rec-exp flip3-+ 1-exp pow-prod-down associate-*r/ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in un-div-inv unswap-sqr
2×frac-times clear-num frac-2neg associate-*l/ *-commutative
1×neg-mul-1 pow-flip inv-pow
Counts
4 → 182
Calls
4 calls:
10.0ms
(/ v (+ t1 u))
8.0ms
(/ 1 (+ t1 u))
19.0ms
(* (- t1) (/ 1 (+ t1 u)))
46.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ v (+ t1 u))
38.0ms
(/ 1 (+ t1 u))
48.0ms
(* (- t1) (/ 1 (+ t1 u)))
153.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

simplify542.0ms

Counts
194 → 194
Iterations
IterNodes
done2001
1577
0201

prune727.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes172.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done20
320
218
112
08

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s8272×body80valid