Details

Time bar (total: 1.0m)

sample871.0ms

Algorithm
intervals
Results
282.0ms71×body2560valid
246.0ms129×body1280valid
169.0ms28×body5120valid
86.0ms87×body640valid
23.0ms31×body320valid
13.0ms56×body80valid
7.0ms15×body160valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
01925
14425
214625
379823
4446721
done500021

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
1.0b
(* (/ (pow t 3.0) (* l l)) (sin k))
14.5b
(/ (pow t 3.0) (* l l))
30.4b
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

rewrite367.0ms

Algorithm
rewrite-expression-head
Rules
340×times-frac
272×add-exp-log
153×unpow-prod-down
144×add-sqr-sqrt
137×add-cube-cbrt *-un-lft-identity
128×div-exp
103×prod-exp
59×add-cbrt-cube
58×associate-*l/
54×associate-/r/
38×tan-quot
34×pow-exp
32×div-inv
24×pow-to-exp
21×cbrt-unprod
19×cbrt-undiv frac-times associate-*r/
18×associate-/r*
17×associate-/l*
15×sqr-pow
12×associate-*l*
11×pow1
6×associate-*r*
4×pow-prod-down add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
1×associate-/l/
Counts
4 → 354
Calls
4 calls:
114.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
61.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
23.0ms
(/ (pow t 3.0) (* l l))
142.0ms
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

series1.8s

Counts
4 → 12
Calls
4 calls:
447.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
342.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
240.0ms
(/ (pow t 3.0) (* l l))
793.0ms
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

simplify837.0ms

Counts
366 → 366
Iterations

Useful iterations: done (822.0ms)

IterNodesCost
066210242
115049739
done50019233

prune2.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 16.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 1 (* (pow k 2.0) (pow t 1.0)))
5.0b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
6.9b
(* (pow k 2.0) (pow t 1.0))
16.7b
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite288.0ms

Algorithm
rewrite-expression-head
Rules
1645×add-exp-log
1122×prod-exp
899×pow-exp
688×div-exp
509×pow-to-exp
140×rec-exp 1-exp
37×add-sqr-sqrt
29×unpow-prod-down
25×add-cbrt-cube
22×times-frac
20×add-cube-cbrt *-un-lft-identity
19×associate-*r*
18×associate-*l*
13×sqr-pow
12×unswap-sqr
9×associate-/r*
7×cbrt-unprod
6×cbrt-undiv
5×pow1
4×div-inv associate-/l* add-log-exp
3×unpow2
2×frac-2neg clear-num *-commutative
1×pow-flip associate-*r/ inv-pow
Counts
4 → 600
Calls
4 calls:
25.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
30.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
21.0ms
(* (pow k 2.0) (pow t 1.0))
109.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series2.0s

Counts
4 → 12
Calls
4 calls:
492.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
130.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
484.0ms
(* (pow k 2.0) (pow t 1.0))
901.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify2.2s

Counts
612 → 612
Iterations

Useful iterations: 2 (714.0ms)

IterNodesCost
048315017
1109613295
2284012595
done500012595

prune1.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 13.5b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sin k) 2)
0.8b
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
5.0b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
16.7b
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite787.0ms

Algorithm
rewrite-expression-head
Rules
5603×add-exp-log
4515×prod-exp
3078×pow-exp
2032×div-exp
1869×pow-to-exp
434×rec-exp 1-exp
27×add-cbrt-cube
23×add-sqr-sqrt
22×times-frac
20×unpow-prod-down
18×add-cube-cbrt *-un-lft-identity
12×associate-*r*
11×associate-*l*
9×associate-/r*
8×cbrt-unprod
7×cbrt-undiv
6×pow1 sqr-pow
4×div-inv associate-/l* unpow2 add-log-exp
3×pow-unpow unswap-sqr
2×frac-2neg clear-num
1×pow-flip pow-pow associate-*r/ *-commutative inv-pow
Counts
4 → 1460
Calls
4 calls:
8.0ms
(pow (sin k) 2)
75.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
39.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
275.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series1.6s

Counts
4 → 12
Calls
4 calls:
36.0ms
(pow (sin k) 2)
501.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
136.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
973.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify1.9s

Counts
1472 → 1472
Iterations

Useful iterations: 2 (888.0ms)

IterNodesCost
059750343
1126233112
2294031574
done500031574

prune946.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 11.9b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sin k) 2)
3.7b
(* (pow (/ (sqrt 1) (pow k (/ 2.0 2))) 1.0) (* (/ (* (cos k) (pow l 2)) (pow (sin k) 2)) (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0)))
5.0b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
11.3b
(* (/ (* (cos k) (pow l 2)) (pow (sin k) 2)) (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
13925×add-exp-log
10128×prod-exp
8234×pow-exp
5894×div-exp
4214×pow-to-exp
910×rec-exp 1-exp
84×unpow-prod-down
62×associate-*l*
61×times-frac
49×add-sqr-sqrt
44×add-cube-cbrt *-un-lft-identity
32×add-cbrt-cube
21×sqrt-prod
13×cbrt-unprod sqr-pow
12×associate-*r*
8×associate-/r*
6×cbrt-undiv
5×pow1
4×div-inv unpow2 add-log-exp
3×pow-unpow unswap-sqr
2×associate-*l/ *-commutative
1×pow-pow frac-2neg associate-*r/ clear-num associate-/l*
Counts
4 → 3170
Calls
4 calls:
4.0ms
(pow (sin k) 2)
320.0ms
(* (pow (/ (sqrt 1) (pow k (/ 2.0 2))) 1.0) (* (/ (* (cos k) (pow l 2)) (pow (sin k) 2)) (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0)))
34.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
137.0ms
(* (/ (* (cos k) (pow l 2)) (pow (sin k) 2)) (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0))

series1.4s

Counts
4 → 12
Calls
4 calls:
45.0ms
(pow (sin k) 2)
595.0ms
(* (pow (/ (sqrt 1) (pow k (/ 2.0 2))) 1.0) (* (/ (* (cos k) (pow l 2)) (pow (sin k) 2)) (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0)))
141.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
571.0ms
(* (/ (* (cos k) (pow l 2)) (pow (sin k) 2)) (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0))

simplify2.5s

Counts
3182 → 3182
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
0963125712
11766108547
23705105073
done5000105073

prune1.4s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.7b

regimes522.0ms

Accuracy

0% (5.7b remaining)

Error of 18.2b against oracle of 12.4b and baseline of 18.2b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02539
13238
done3238

end0.0ms

sample33.2s

Algorithm
intervals
Results
9.1s2246×body2560valid
8.6s4128×body1280valid
6.7s918×body5120valid
4.7s2543×body640valid
1.7s2021×body80valid
1.0s1024×body320valid
382.0ms440×body160valid