Details

Time bar (total: 3.6s)

sample27.0ms

Algorithm
intervals
Results
15.0ms263×body80valid

simplify60.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.2b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×add-cube-cbrt swap-sqr distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate-*r* associate-*l* associate-*l/
2×add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-plus distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 70
Calls
2 calls:
42.0ms
(* (+ t1 u) (+ t1 u))
22.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (+ t1 u) (+ t1 u))
83.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify53.0ms

Counts
76 → 76

prune127.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.2b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite110.0ms

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-exp-log add-cbrt-cube
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×frac-2neg distribute-frac-neg clear-num
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 192
Calls
3 calls:
15.0ms
(/ (- t1) (+ t1 u))
13.0ms
(/ v (+ t1 u))
72.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series201.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (- t1) (+ t1 u))
31.0ms
(/ v (+ t1 u))
128.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify55.0ms

Counts
201 → 201

prune390.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.5b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
7.0b
(* (- t1) (/ v (+ t1 u)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-exp-log add-cbrt-cube
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 distribute-rgt-neg-in flip3-+ flip-+ div-inv add-log-exp
2×distribute-lft-neg-out frac-2neg associate-*r/ clear-num unswap-sqr
1×neg-mul-1 distribute-frac-neg pow-prod-down *-commutative associate-/l/
Counts
3 → 107
Calls
3 calls:
11.0ms
(/ v (+ t1 u))
24.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
36.0ms
(* (- t1) (/ v (+ t1 u)))

series164.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ v (+ t1 u))
80.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
55.0ms
(* (- t1) (/ v (+ t1 u)))

simplify44.0ms

Counts
116 → 116

prune222.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.2b
(/ (/ v (+ t1 u)) (+ t1 u))
9.7b
(* (- t1) (/ (/ v (+ t1 u)) (+ t1 u)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
267×times-frac
261×*-un-lft-identity
134×add-sqr-sqrt
125×add-cube-cbrt
78×associate-*r*
68×distribute-lft-out
24×associate-/r/
21×associate-/l*
19×add-exp-log add-cbrt-cube
12×flip3-+ flip-+ div-inv
10×associate-*l*
8×associate-/r*
7×cbrt-undiv div-exp
5×pow1
3×distribute-lft-neg-in distribute-rgt-neg-in prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×distribute-lft-neg-out neg-mul-1 associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 252
Calls
3 calls:
11.0ms
(/ v (+ t1 u))
28.0ms
(/ (/ v (+ t1 u)) (+ t1 u))
79.0ms
(* (- t1) (/ (/ v (+ t1 u)) (+ t1 u)))

series159.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ v (+ t1 u))
56.0ms
(/ (/ v (+ t1 u)) (+ t1 u))
76.0ms
(* (- t1) (/ (/ v (+ t1 u)) (+ t1 u)))

simplify78.0ms

Counts
261 → 261

prune443.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample951.0ms

Algorithm
intervals
Results
679.0ms8242×body80valid