Details

Time bar (total: 3.3s)

sample21.0ms

Algorithm
intervals
Results
10.0ms262×body80valid

simplify62.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
19.1b
(/ (* (- 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:
33.0ms
(* (+ t1 u) (+ t1 u))
30.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (+ t1 u) (+ t1 u))
86.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify56.0ms

Counts
76 → 76

prune129.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.5b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite104.0ms

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:
14.0ms
(/ (- t1) (+ t1 u))
11.0ms
(/ v (+ t1 u))
71.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series236.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ (- t1) (+ t1 u))
44.0ms
(/ v (+ t1 u))
134.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify55.0ms

Counts
201 → 201

prune378.0ms

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))
5.5b
(* (- t1) (/ v (+ t1 u)))

rewrite76.0ms

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))
27.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
34.0ms
(* (- t1) (/ v (+ t1 u)))

series168.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ v (+ t1 u))
84.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
53.0ms
(* (- t1) (/ v (+ t1 u)))

simplify45.0ms

Counts
116 → 116

prune217.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (+ t1 u))
0.2b
(/ 1 (/ (+ t1 u) (* (- t1) (/ v (+ t1 u)))))
0.5b
(/ (+ t1 u) (* (- t1) (/ v (+ t1 u))))
5.5b
(* (- t1) (/ v (+ t1 u)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
70×*-un-lft-identity
54×add-exp-log
49×add-sqr-sqrt
44×add-cube-cbrt
34×add-cbrt-cube
26×div-exp
18×associate-*r*
14×cbrt-undiv associate-/r*
13×distribute-lft-out
10×associate-*l* prod-exp associate-/r/ associate-/l*
8×div-inv
7×pow1
6×associate-*r/ cbrt-unprod
4×rec-exp 1-exp add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in frac-2neg flip3-+ clear-num flip-+
2×associate-/l/ unswap-sqr
1×distribute-lft-neg-out neg-mul-1 pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 174
Calls
4 calls:
13.0ms
(/ v (+ t1 u))
36.0ms
(/ 1 (/ (+ t1 u) (* (- t1) (/ v (+ t1 u)))))
33.0ms
(/ (+ t1 u) (* (- t1) (/ v (+ t1 u))))
33.0ms
(* (- t1) (/ v (+ t1 u)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ v (+ t1 u))
130.0ms
(/ 1 (/ (+ t1 u) (* (- t1) (/ v (+ t1 u)))))
43.0ms
(/ (+ t1 u) (* (- t1) (/ v (+ t1 u))))
54.0ms
(* (- t1) (/ v (+ t1 u)))

simplify80.0ms

Counts
186 → 186

prune295.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample691.0ms

Algorithm
intervals
Results
416.0ms8278×body80valid