Details

Time bar (total: 43.3s)

sample130.0ms

Algorithm
intervals
Results
11.0ms261×body80valid

simplify7.5s

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.4b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
22.1b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite144.0ms

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:
74.0ms
(* (+ t1 u) (+ t1 u))
61.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series235.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* (+ t1 u) (+ t1 u))
196.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify3.2s

Counts
78 → 78
Iterations
IterNodes
done5161
21931
1419
0114

prune771.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.4b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite184.0ms

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
(/ (- t1) (+ t1 u))
21.0ms
(/ v (+ t1 u))
119.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series445.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ (- t1) (+ t1 u))
73.0ms
(/ v (+ t1 u))
284.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify4.5s

Counts
204 → 204
Iterations
IterNodes
done5000
22411
1647
0216

prune2.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (+ t1 u) t1)
0.1b
(/ -1 (/ (+ t1 u) t1))
1.4b
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
184×*-un-lft-identity
141×add-sqr-sqrt
120×add-cube-cbrt
53×associate-*l*
34×add-cbrt-cube add-exp-log
32×distribute-lft-out
23×associate-/r*
18×associate-*r*
14×cbrt-undiv div-exp
12×div-inv
10×associate-/l*
6×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
4×insert-posit16 add-log-exp
3×clear-num frac-2neg flip3-+ flip-+
2×associate-/l/
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 253
Calls
4 calls:
15.0ms
(/ v (+ t1 u))
34.0ms
(/ (+ t1 u) t1)
20.0ms
(/ -1 (/ (+ t1 u) t1))
157.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series428.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ v (+ t1 u))
33.0ms
(/ (+ t1 u) t1)
74.0ms
(/ -1 (/ (+ t1 u) t1))
270.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify5.4s

Counts
265 → 265
Iterations
IterNodes
done5015
23585
1930
0299

prune2.9s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize90.0ms

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))))
6.4b
(cbrt (/ (- t1) (+ t1 u)))
6.4b
(cbrt (/ (- t1) (+ t1 u)))
6.4b
(cbrt (/ (- t1) (+ t1 u)))

rewrite373.0ms

Algorithm
rewrite-expression-head
Rules
138×cbrt-prod
133×*-un-lft-identity
120×times-frac
73×add-sqr-sqrt add-cube-cbrt
36×distribute-lft-neg-in distribute-rgt-neg-in
30×distribute-lft-out
27×cbrt-div
25×add-exp-log
17×frac-times
16×pow1
15×add-cbrt-cube
13×prod-exp cbrt-unprod
12×neg-mul-1
11×associate-*l/ associate-*r/
8×pow-prod-down
6×associate-/r/
4×insert-posit16 add-log-exp
3×flip3-+ pow1/3 flip-+ div-inv
2×cbrt-undiv div-exp
1×associate-*r* associate-*l* *-commutative
Counts
4 → 210
Calls
4 calls:
296.0ms
(* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) (/ v (+ t1 u))))
12.0ms
(cbrt (/ (- t1) (+ t1 u)))
12.0ms
(cbrt (/ (- t1) (+ t1 u)))
26.0ms
(cbrt (/ (- t1) (+ t1 u)))

series1.7s

Counts
4 → 12
Calls
4 calls:
319.0ms
(* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) (/ v (+ t1 u))))
448.0ms
(cbrt (/ (- t1) (+ t1 u)))
474.0ms
(cbrt (/ (- t1) (+ t1 u)))
455.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify8.0s

Counts
222 → 222
Iterations
IterNodes
done5001
34274
21327
1514
0228

prune2.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes816.0ms

Accuracy

0% (1.6b remaining)

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

bsearch0.0ms

simplify17.0ms

Iterations
IterNodes
done21
421
319
216
112
08

end0.0ms

sample1.2s

Algorithm
intervals
Results
815.0ms8270×body80valid