Details

Time bar (total: 12.7s)

sample77.0ms

Algorithm
intervals
Results
11.0ms264×body80valid

simplify1.3s

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
17.0b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite134.0ms

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:
66.0ms
(* (+ t1 u) (+ t1 u))
64.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (+ t1 u) (+ t1 u))
103.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify992.0ms

Counts
76 → 76

prune145.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
1.7b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite155.0ms

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:
21.0ms
(/ v (+ t1 u))
15.0ms
(/ (- t1) (+ t1 u))
103.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series258.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ v (+ t1 u))
58.0ms
(/ (- t1) (+ t1 u))
170.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.0s

Counts
201 → 201

prune532.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ 1 (+ t1 u))
0.7b
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
9.9b
(* (- t1) (/ v (+ t1 u)))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
54×add-exp-log
49×times-frac
46×add-sqr-sqrt
41×add-cube-cbrt
36×associate-*r*
34×add-cbrt-cube
22×prod-exp
14×div-exp distribute-lft-out
12×pow1 cbrt-unprod
11×associate-*l*
8×cbrt-undiv associate-/r* associate-/r/
6×associate-/l*
4×rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down flip-+ div-inv add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
2×frac-2neg clear-num *-commutative unswap-sqr
1×frac-times neg-mul-1 pow-flip associate-*l/ un-div-inv inv-pow
Counts
4 → 167
Calls
4 calls:
12.0ms
(/ v (+ t1 u))
19.0ms
(/ 1 (+ t1 u))
110.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
54.0ms
(* (- t1) (/ v (+ t1 u)))

series289.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ v (+ t1 u))
56.0ms
(/ 1 (+ t1 u))
128.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
58.0ms
(* (- t1) (/ v (+ t1 u)))

simplify1.4s

Counts
179 → 179

prune502.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.8b
(/ (- 1) (/ (+ t1 u) t1))
1.7b
(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

rewrite296.0ms

Algorithm
rewrite-expression-head
Rules
605×times-frac
428×*-un-lft-identity
309×add-sqr-sqrt
288×add-cube-cbrt
165×associate-*l*
99×distribute-lft-neg-in distribute-rgt-neg-in
70×distribute-lft-out
33×neg-mul-1
31×add-exp-log add-cbrt-cube
25×div-inv
20×associate-/r*
18×associate-*r*
13×cbrt-undiv div-exp associate-/l*
6×prod-exp associate-/r/ cbrt-unprod unswap-sqr
5×pow1
3×add-log-exp
2×frac-2neg flip3-+ distribute-frac-neg clear-num flip-+
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 450
Calls
3 calls:
13.0ms
(/ v (+ t1 u))
35.0ms
(/ (- 1) (/ (+ t1 u) t1))
204.0ms
(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series256.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ v (+ t1 u))
76.0ms
(/ (- 1) (/ (+ t1 u) t1))
136.0ms
(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify858.0ms

Counts
459 → 459

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes144.0ms

Accuracy

8.5% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.6s

end0.0ms

sample920.0ms

Algorithm
intervals
Results
523.0ms8292×body80valid