Details

Time bar (total: 31.5s)

sample110.0ms

Algorithm
intervals
Results
17.0ms264×body80valid

simplify2.5s

Counts
1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize41.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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/
insert-posit16 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 → 72
Calls
2 calls:
Slowest
25.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
22.0ms
(* (+ t1 u) (+ t1 u))

series162.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
138.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
24.0ms
(* (+ t1 u) (+ t1 u))

simplify601.0ms

Counts
78 → 78

prune734.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

1.8b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite64.0ms

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
insert-posit16 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 → 195
Calls
3 calls:
Slowest
43.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
9.0ms
(/ (- t1) (+ t1 u))
7.0ms
(/ v (+ t1 u))

series280.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
178.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
59.0ms
(/ (- t1) (+ t1 u))
43.0ms
(/ v (+ t1 u))

simplify685.0ms

Counts
204 → 204

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (/ (- t1) (+ t1 u)) v)
1.0b
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ 1 (+ t1 u))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
127×*-un-lft-identity
105×times-frac
76×add-sqr-sqrt
71×add-cube-cbrt
54×add-exp-log
47×associate-*l*
34×add-cbrt-cube
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
22×prod-exp
21×associate-*r*
14×div-exp
13×associate-/l*
12×pow1 cbrt-unprod
neg-mul-1
cbrt-undiv associate-/r* associate-/r/
rec-exp flip3-+ 1-exp pow-prod-down associate-*l/ flip-+ insert-posit16 div-inv add-log-exp
distribute-lft-neg-out distribute-frac-neg
clear-num frac-2neg *-commutative unswap-sqr
neg-sub0 frac-times div-sub associate-*r/ un-div-inv pow-flip inv-pow
Counts
4 → 229
Calls
4 calls:
Slowest
56.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
37.0ms
(* (/ (- t1) (+ t1 u)) v)
18.0ms
(/ (- t1) (+ t1 u))
17.0ms
(/ 1 (+ t1 u))

series817.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
538.0ms
(* (/ (- t1) (+ t1 u)) v)
182.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
58.0ms
(/ (- t1) (+ t1 u))
39.0ms
(/ 1 (+ t1 u))

simplify692.0ms

Counts
241 → 241

prune2.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))
0.3b
(/ -1 (/ (+ t1 u) t1))
0.0b
(/ v (+ t1 u))
0.0b
(/ (+ t1 u) t1)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
184×*-un-lft-identity
141×add-sqr-sqrt
120×add-cube-cbrt
53×associate-*l*
34×add-cbrt-cube add-exp-log
32×distribute-lft-out
23×associate-/r*
18×associate-*r*
14×cbrt-undiv div-exp
12×div-inv
10×associate-/l*
pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
insert-posit16 add-log-exp
clear-num frac-2neg flip3-+ flip-+
associate-/l/
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 253
Calls
4 calls:
Slowest
39.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))
13.0ms
(/ (+ t1 u) t1)
9.0ms
(/ -1 (/ (+ t1 u) t1))
7.0ms
(/ v (+ t1 u))

series315.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
189.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))
52.0ms
(/ -1 (/ (+ t1 u) t1))
46.0ms
(/ v (+ t1 u))
27.0ms
(/ (+ t1 u) t1)

simplify1.2s

Counts
265 → 265

prune2.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (1.4b remaining)

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

bsearch15.3s

end0.0ms

sample1.1s

Algorithm
intervals
Results
799.0ms8274×body80valid