Details

Time bar (total: 5.5s)

sample139.0ms

Algorithm
intervals
Results
19.0ms264×body80valid

simplify100.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
20.2b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite142.0ms

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:
50.0ms
(* (+ t1 u) (+ t1 u))
87.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (+ t1 u) (+ t1 u))
117.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify65.0ms

Counts
76 → 76

prune209.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
1.3b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite146.0ms

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:
19.0ms
(/ v (+ t1 u))
15.0ms
(/ (- t1) (+ t1 u))
94.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series326.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ v (+ t1 u))
77.0ms
(/ (- t1) (+ t1 u))
211.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify52.0ms

Counts
201 → 201

prune635.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt v)
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-+ flip-+ distribute-lft-out
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt v)
7.0ms
(cbrt (+ t1 u))
8.0ms
(cbrt (+ t1 u))
9.0ms
(cbrt (+ t1 u))

series815.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt v)
215.0ms
(cbrt (+ t1 u))
177.0ms
(cbrt (+ t1 u))
185.0ms
(cbrt (+ t1 u))

simplify92.0ms

Counts
65 → 65

prune426.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.7b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
7.6b
(* (- t1) (/ v (+ t1 u)))

rewrite95.0ms

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))
30.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
50.0ms
(* (- t1) (/ v (+ t1 u)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ v (+ t1 u))
136.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
75.0ms
(* (- t1) (/ v (+ t1 u)))

simplify71.0ms

Counts
116 → 116

prune373.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes157.0ms

Accuracy

14.5% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify57.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
611.0ms8265×body80valid