Details

Time bar (total: 17.0s)

sample167.0ms

Algorithm
intervals
Results
14.0ms266×body80valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5026
123812
111306
10538
9373
8319
7285
6269
5223
4188
3122
263
125
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
19.8b
(/ (* (- 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×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 → 70
Calls
2 calls:
34.0ms
(* (+ t1 u) (+ t1 u))
27.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (+ t1 u) (+ t1 u))
109.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.3s

Counts
76 → 76
Iterations
IterNodes
done5128
21960
1416
0112

prune295.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite142.0ms

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×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 → 192
Calls
3 calls:
17.0ms
(/ (- t1) (+ t1 u))
9.0ms
(/ v (+ t1 u))
101.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series261.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ (- t1) (+ t1 u))
40.0ms
(/ v (+ t1 u))
164.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.9s

Counts
201 → 201
Iterations
IterNodes
done5000
22392
1644
0213

prune802.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize36.0ms

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)))
5.3b
(cbrt (/ (- t1) (+ t1 u)))
5.3b
(cbrt (/ (- t1) (+ t1 u)))
5.3b
(cbrt (/ (- t1) (+ t1 u)))

rewrite533.0ms

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-+ div-inv add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative
Counts
4 → 222
Calls
4 calls:
498.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
7.0ms
(cbrt (/ (- t1) (+ t1 u)))
7.0ms
(cbrt (/ (- t1) (+ t1 u)))
11.0ms
(cbrt (/ (- t1) (+ t1 u)))

series1.1s

Counts
4 → 12
Calls
4 calls:
263.0ms
(* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (cbrt (/ (- t1) (+ t1 u)))) (/ v (+ t1 u)))
253.0ms
(cbrt (/ (- t1) (+ t1 u)))
296.0ms
(cbrt (/ (- t1) (+ t1 u)))
326.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify1.8s

Counts
234 → 234
Iterations
IterNodes
done5001
21671
1605
0256

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.8b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
6.1b
(* (- t1) (/ v (+ t1 u)))

rewrite86.0ms

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-+ 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 → 107
Calls
3 calls:
22.0ms
(/ v (+ t1 u))
30.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
28.0ms
(* (- t1) (/ v (+ t1 u)))

series258.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ v (+ t1 u))
124.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
102.0ms
(* (- t1) (/ v (+ t1 u)))

simplify1.8s

Counts
116 → 116
Iterations
IterNodes
done5000
21538
1401
0136

prune582.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes328.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done21
421
319
216
112
08

end0.0ms

sample746.0ms

Algorithm
intervals
Results
511.0ms8258×body80valid