Details

Time bar (total: 38.4s)

sample129.0ms

Algorithm
intervals
Results
26.0ms268×body80valid

simplify9.6s

Counts
1 → 1
Iterations
IterNodes
124599
111092
10536
9373
8319
7285
6269
5223
4188
3122
263
125
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
18.5b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-cbrt-cube add-exp-log
12×flip3-+ flip-+
pow1
add-sqr-sqrt frac-times associate-/r/
swap-sqr add-cube-cbrt distribute-lft-out
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*r* associate-*l* associate-*l/ associate-*r/
add-log-exp
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 → 70
Calls
2 calls:
40.0ms
(* (+ t1 u) (+ t1 u))
33.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (+ t1 u) (+ t1 u))
143.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify7.3s

Counts
76 → 76
Iterations
IterNodes
314634
21978
1410
0112

prune634.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
0.8b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite80.0ms

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*
neg-mul-1
associate-/r* associate-/r/
cbrt-undiv div-exp
pow1
flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
add-log-exp
clear-num frac-2neg distribute-frac-neg
distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 192
Calls
3 calls:
15.0ms
(/ (- t1) (+ t1 u))
14.0ms
(/ v (+ t1 u))
43.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series259.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- t1) (+ t1 u))
38.0ms
(/ v (+ t1 u))
175.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify5.5s

Counts
201 → 201
Iterations
IterNodes
37686
21931
1624
0213

prune1.7s

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 t1)
0.6b
(cbrt t1)
0.6b
(cbrt t1)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
add-sqr-sqrt add-cube-cbrt
pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
cbrt-div
flip3-+ flip-+ distribute-lft-out
Counts
4 → 47
Calls
4 calls:
2.0ms
(cbrt (+ t1 u))
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)

series1.0s

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt (+ t1 u))
266.0ms
(cbrt t1)
260.0ms
(cbrt t1)
306.0ms
(cbrt t1)

simplify817.0ms

Counts
59 → 59
Iterations
IterNodes
42136
3831
2341
1143
069

prune836.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.5b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
6.4b
(* (- t1) (/ v (+ t1 u)))

rewrite83.0ms

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*
distribute-lft-out
associate-/r*
cbrt-undiv div-exp associate-/r/
pow1
prod-exp cbrt-unprod associate-/l*
distribute-lft-neg-in distribute-rgt-neg-in flip3-+ flip-+ div-inv add-log-exp
distribute-lft-neg-out clear-num frac-2neg associate-*r/ unswap-sqr
neg-mul-1 pow-prod-down distribute-frac-neg *-commutative associate-/l/
Counts
3 → 107
Calls
3 calls:
14.0ms
(/ v (+ t1 u))
35.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
32.0ms
(* (- t1) (/ v (+ t1 u)))

series234.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ v (+ t1 u))
89.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
94.0ms
(* (- t1) (/ v (+ t1 u)))

simplify7.7s

Counts
116 → 116
Iterations
IterNodes
35814
21294
1394
0136

prune917.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
638
538
435
329
226
122
014

end0.0ms

sample1.1s

Algorithm
intervals
Results
823.0ms8261×body80valid