Details

Time bar (total: 13.2s)

sample157.0ms

Algorithm
intervals
Results
67.0ms263×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done2002
122002
111306
10538
9373
8319
7285
6269
5223
4188
3122
263
125
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize37.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
16.6b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-cbrt-cube add-exp-log
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×swap-sqr add-cube-cbrt distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*r* associate-*l* associate-*l/ associate-*r/
2×insert-posit16 add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac pow-plus pow-prod-down distribute-frac-neg pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 72
Calls
2 calls:
28.0ms
(* (+ t1 u) (+ t1 u))
35.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series162.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (+ t1 u) (+ t1 u))
137.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.2s

Counts
78 → 78
Iterations
IterNodes
done2000
32000
21948
1419
0114

prune274.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

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-cbrt-cube add-exp-log
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×insert-posit16 add-log-exp
2×clear-num frac-2neg distribute-frac-neg
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 195
Calls
3 calls:
19.0ms
(/ v (+ t1 u))
19.0ms
(/ (- t1) (+ t1 u))
55.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series251.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ v (+ t1 u))
51.0ms
(/ (- t1) (+ t1 u))
172.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.0s

Counts
204 → 204
Iterations
IterNodes
done2000
22000
1647
0216

prune759.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
9.1b
(cbrt (/ (- t1) (+ t1 u)))
9.1b
(cbrt (/ (- t1) (+ t1 u)))
9.1b
(cbrt (/ (- t1) (+ t1 u)))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
147×*-un-lft-identity
138×cbrt-prod
132×times-frac
81×add-sqr-sqrt add-cube-cbrt
36×distribute-lft-neg-in distribute-rgt-neg-in
33×distribute-lft-out
27×cbrt-div
25×add-exp-log
18×associate-*r*
17×frac-times add-cbrt-cube associate-*l/
13×pow1
12×neg-mul-1 prod-exp cbrt-unprod
8×associate-/r/
7×associate-*r/
6×pow-prod-down
4×flip3-+ flip-+ insert-posit16 div-inv add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative
Counts
4 → 226
Calls
4 calls:
270.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
4.0ms
(cbrt (/ (- t1) (+ t1 u)))
4.0ms
(cbrt (/ (- t1) (+ t1 u)))
4.0ms
(cbrt (/ (- t1) (+ t1 u)))

series1.4s

Counts
4 → 12
Calls
4 calls:
273.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
239.0ms
(cbrt (/ (- t1) (+ t1 u)))
249.0ms
(cbrt (/ (- t1) (+ t1 u)))
653.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify1.4s

Counts
238 → 238
Iterations
IterNodes
done2004
32004
21837
1617
0258

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
1.1b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
6.0b
(* (- t1) (/ v (+ t1 u)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-cbrt-cube add-exp-log
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-+ insert-posit16 div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*r/ unswap-sqr
1×neg-mul-1 pow-prod-down distribute-frac-neg *-commutative associate-/l/
Counts
3 → 110
Calls
3 calls:
14.0ms
(/ v (+ t1 u))
31.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
38.0ms
(* (- t1) (/ v (+ t1 u)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ v (+ t1 u))
95.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
80.0ms
(* (- t1) (/ v (+ t1 u)))

simplify1.2s

Counts
119 → 119
Iterations
IterNodes
done2002
32002
21556
1401
0139

prune527.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done21
421
319
216
112
08

end0.0ms

sample1.0s

Algorithm
intervals
Results
768.0ms8240×body80valid