Details

Time bar (total: 30.6s)

sample98.0ms

Algorithm
intervals
Results
19.0ms268×body80valid

simplify11.4s

Counts
1 → 1
Iterations
IterNodes
125243
111284
10681
9461
8399
7365
6329
5270
4221
3134
265
125
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

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:
22.0ms
(* (+ t1 u) (+ t1 u))
32.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (+ t1 u) (+ t1 u))
110.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify492.0ms

Counts
80 → 80
Iterations
IterNodes
22031
1419
0116

prune775.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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)))

rewrite99.0ms

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:
16.0ms
(/ (- t1) (+ t1 u))
14.0ms
(/ v (+ t1 u))
63.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series301.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(/ (- t1) (+ t1 u))
31.0ms
(/ v (+ t1 u))
196.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify5.0s

Counts
207 → 207
Iterations
IterNodes
37467
21941
1634
0219

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize65.0ms

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))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
34×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
9×distribute-lft-neg-in distribute-rgt-neg-in
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
3×neg-mul-1
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 76
Calls
4 calls:
3.0ms
(cbrt (+ t1 u))
1.0ms
(cbrt (- t1))
1.0ms
(cbrt (- t1))
2.0ms
(cbrt (- t1))

series1.0s

Counts
4 → 12
Calls
4 calls:
160.0ms
(cbrt (+ t1 u))
291.0ms
(cbrt (- t1))
313.0ms
(cbrt (- t1))
243.0ms
(cbrt (- t1))

simplify1.0s

Counts
88 → 88
Iterations
IterNodes
42641
3998
2398
1175
091

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

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)))

rewrite62.0ms

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:
14.0ms
(/ v (+ t1 u))
20.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
25.0ms
(* (- t1) (/ v (+ t1 u)))

series215.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ v (+ t1 u))
98.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
71.0ms
(* (- t1) (/ v (+ t1 u)))

simplify4.2s

Counts
122 → 122
Iterations
IterNodes
35566
21279
1403
0142

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
217
117
014

end0.0ms

sample1.2s

Algorithm
intervals
Results
869.0ms8261×body80valid