Details

Time bar (total: 15.0s)

sample105.0ms

Algorithm
intervals
Results
18.0ms262×body80valid

simplify1.6s

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
18.3b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite131.0ms

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:
57.0ms
(* (+ t1 u) (+ t1 u))
66.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series150.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(* (+ t1 u) (+ t1 u))
130.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.1s

Counts
76 → 76

prune220.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite188.0ms

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:
22.0ms
(/ (- t1) (+ t1 u))
14.0ms
(/ v (+ t1 u))
133.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- t1) (+ t1 u))
28.0ms
(/ v (+ t1 u))
184.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.0s

Counts
201 → 201

prune477.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ t1 u) v)
0.0b
(/ (- t1) (+ t1 u))
0.9b
(/ 1 (/ (+ t1 u) v))
1.8b
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

rewrite305.0ms

Algorithm
rewrite-expression-head
Rules
289×times-frac
248×*-un-lft-identity
185×add-sqr-sqrt
152×add-cube-cbrt
64×add-exp-log
53×associate-*r*
46×associate-*l* distribute-lft-out
34×add-cbrt-cube
30×div-exp
27×distribute-lft-neg-in distribute-rgt-neg-in
23×associate-/r*
17×associate-/l*
14×cbrt-undiv prod-exp
12×div-inv
10×unswap-sqr
9×neg-mul-1
7×pow1
6×rec-exp 1-exp associate-/r/ cbrt-unprod
4×add-log-exp
3×frac-2neg flip3-+ clear-num flip-+
2×distribute-frac-neg associate-/l/
1×distribute-lft-neg-out neg-sub0 frac-times pow-flip div-sub associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 334
Calls
4 calls:
42.0ms
(/ (+ t1 u) v)
29.0ms
(/ (- t1) (+ t1 u))
34.0ms
(/ 1 (/ (+ t1 u) v))
181.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

series350.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (+ t1 u) v)
61.0ms
(/ (- t1) (+ t1 u))
74.0ms
(/ 1 (/ (+ t1 u) v))
178.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

simplify584.0ms

Counts
346 → 346

prune995.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ t1 u) v)
0.5b
(/ (/ (- t1) (/ (+ t1 u) v)) (+ t1 u))
8.2b
(/ (- t1) (/ (+ t1 u) v))

rewrite361.0ms

Algorithm
rewrite-expression-head
Rules
2364×times-frac
1668×*-un-lft-identity
962×add-sqr-sqrt add-cube-cbrt
353×distribute-lft-out
291×distribute-lft-neg-in distribute-rgt-neg-in
179×associate-/l*
97×neg-mul-1
69×div-inv
23×associate-/r*
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
8×associate-/r/
3×pow1 frac-2neg div-sub distribute-frac-neg clear-num associate-/l/ add-log-exp
2×neg-sub0 flip3-+ flip-+
Counts
3 → 1086
Calls
3 calls:
29.0ms
(/ (+ t1 u) v)
157.0ms
(/ (/ (- t1) (/ (+ t1 u) v)) (+ t1 u))
32.0ms
(/ (- t1) (/ (+ t1 u) v))

series310.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (+ t1 u) v)
172.0ms
(/ (/ (- t1) (/ (+ t1 u) v)) (+ t1 u))
101.0ms
(/ (- t1) (/ (+ t1 u) v))

simplify1.6s

Counts
1095 → 1095

prune2.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (1.2b remaining)

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

bsearch1.0ms

simplify1.1s

end0.0ms

sample1.4s

Algorithm
intervals
Results
986.0ms8248×body80valid