Details

Time bar (total: 12.0s)

sample121.0ms

Algorithm
intervals
Results
20.0ms261×body80valid

simplify1.6s

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
18.9b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite178.0ms

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:
73.0ms
(* (+ t1 u) (+ t1 u))
97.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (+ t1 u) (+ t1 u))
98.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.0s

Counts
76 → 76

prune186.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
1.1b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite160.0ms

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:
11.0ms
(/ v (+ t1 u))
15.0ms
(/ (- t1) (+ t1 u))
126.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series252.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ v (+ t1 u))
51.0ms
(/ (- t1) (+ t1 u))
160.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify909.0ms

Counts
201 → 201

prune529.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.9b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
5.1b
(* (- t1) (/ v (+ t1 u)))

rewrite96.0ms

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))
44.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
38.0ms
(* (- t1) (/ v (+ t1 u)))

series235.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ v (+ t1 u))
118.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
68.0ms
(* (- t1) (/ v (+ t1 u)))

simplify834.0ms

Counts
116 → 116

prune272.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))
0.9b
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
46×associate-*l*
45×add-exp-log times-frac
39×add-sqr-sqrt
31×add-cube-cbrt
29×add-cbrt-cube
18×cbrt-div prod-exp cbrt-unprod
13×cbrt-undiv div-exp associate-*r* distribute-lft-out
12×cbrt-prod distribute-lft-neg-in distribute-rgt-neg-in
10×flip3-+ associate-/r/ flip-+
6×pow1
5×frac-times
4×neg-mul-1 add-log-exp unswap-sqr
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×distribute-lft-neg-out distribute-frac-neg pow-prod-down *-commutative
Counts
4 → 138
Calls
4 calls:
8.0ms
(cbrt (+ t1 u))
8.0ms
(cbrt (+ t1 u))
7.0ms
(cbrt (+ t1 u))
162.0ms
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))

series790.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(cbrt (+ t1 u))
177.0ms
(cbrt (+ t1 u))
177.0ms
(cbrt (+ t1 u))
224.0ms
(* (/ (- t1) (+ t1 u)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))

simplify1.5s

Counts
150 → 150

prune695.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.2s

end0.0ms

sample885.0ms

Algorithm
intervals
Results
516.0ms8247×body80valid