Details

Time bar (total: 14.5s)

sample248.0ms

Algorithm
intervals
Results
21.0ms262×body80valid

simplify721.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
101226
9555
8476
7436
6412
5356
4239
3132
265
125
08

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite112.0ms

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×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 → 192
Calls
3 calls:
12.0ms
(/ (- v) (+ u t1))
9.0ms
(/ t1 (+ u t1))
82.0ms
(* (/ (- v) (+ u t1)) (/ t1 (+ u t1)))

series178.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (- v) (+ u t1))
61.0ms
(/ t1 (+ u t1))
79.0ms
(* (/ (- v) (+ u t1)) (/ t1 (+ u t1)))

simplify1.8s

Counts
201 → 201
Iterations
IterNodes
done5000
23634
1645
0212

prune859.0ms

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

rewrite78.0ms

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-*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×flip3-+ associate-*r* flip-+ div-inv add-log-exp
2×clear-num frac-2neg associate-*l/ unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 98
Calls
3 calls:
17.0ms
(/ t1 (+ t1 u))
24.0ms
(/ (* (/ t1 (+ t1 u)) v) (+ t1 u))
30.0ms
(* (/ t1 (+ t1 u)) v)

series436.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ t1 (+ t1 u))
227.0ms
(/ (* (/ t1 (+ t1 u)) v) (+ t1 u))
142.0ms
(* (/ t1 (+ t1 u)) v)

simplify1.1s

Counts
107 → 107
Iterations
IterNodes
done5000
22014
1343
0129

prune536.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- v) (+ u t1))
0.0b
(/ 1 (+ t1 u))
0.2b
(* t1 (/ 1 (+ t1 u)))
1.0b
(* (/ (- v) (+ u t1)) (* t1 (/ 1 (+ t1 u))))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
128×*-un-lft-identity
106×times-frac
78×add-sqr-sqrt
71×add-cube-cbrt
54×add-exp-log
49×associate-*l*
34×add-cbrt-cube
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
22×prod-exp
19×associate-*r*
14×div-exp
13×associate-/l*
12×pow1 cbrt-unprod
9×neg-mul-1
8×cbrt-undiv associate-/r* associate-/r/
5×associate-*r/
4×rec-exp flip3-+ 1-exp pow-prod-down flip-+ div-inv add-log-exp
3×un-div-inv unswap-sqr
2×frac-times clear-num frac-2neg distribute-frac-neg *-commutative
1×distribute-lft-neg-out neg-sub0 div-sub associate-*l/ pow-flip inv-pow
Counts
4 → 227
Calls
4 calls:
21.0ms
(/ (- v) (+ u t1))
10.0ms
(/ 1 (+ t1 u))
24.0ms
(* t1 (/ 1 (+ t1 u)))
114.0ms
(* (/ (- v) (+ u t1)) (* t1 (/ 1 (+ t1 u))))

series233.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (- v) (+ u t1))
50.0ms
(/ 1 (+ t1 u))
53.0ms
(* t1 (/ 1 (+ t1 u)))
90.0ms
(* (/ (- v) (+ u t1)) (* t1 (/ 1 (+ t1 u))))

simplify1.7s

Counts
239 → 239
Iterations
IterNodes
done5001
24083
1757
0253

prune940.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ t1 u))
0.5b
(cbrt (+ t1 u))
0.6b
(* (cbrt (+ t1 u)) (cbrt (+ t1 u)))
2.4b
(* (* (/ 1 (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ t1 (cbrt (+ t1 u)))) v)

rewrite464.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
36×prod-exp
33×*-un-lft-identity
32×cbrt-prod
26×add-cbrt-cube
23×add-sqr-sqrt
16×pow1 cbrt-div cbrt-unprod
15×div-exp add-cube-cbrt
10×associate-*r*
9×swap-sqr
8×flip3-+ pow1/3 associate-*l* flip-+ distribute-lft-out
7×cbrt-undiv
6×associate-*l/
5×frac-times pow-prod-down
4×rec-exp 1-exp add-log-exp unswap-sqr
3×associate-*r/
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 120
Calls
4 calls:
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))
47.0ms
(* (cbrt (+ t1 u)) (cbrt (+ t1 u)))
406.0ms
(* (* (/ 1 (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ t1 (cbrt (+ t1 u)))) v)

series778.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (+ t1 u))
218.0ms
(cbrt (+ t1 u))
243.0ms
(* (cbrt (+ t1 u)) (cbrt (+ t1 u)))
168.0ms
(* (* (/ 1 (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (/ t1 (cbrt (+ t1 u)))) v)

simplify1.8s

Counts
132 → 132
Iterations
IterNodes
done5000
23438
1613
0210

prune641.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes254.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done34
534
432
326
222
119
011

end0.0ms

sample1.3s

Algorithm
intervals
Results
939.0ms8249×body80valid