Details

Time bar (total: 51.1s)

sample692.0ms

Algorithm
intervals
Results
223.0ms36×body5120valid
185.0ms69×body2560valid
157.0ms126×body1280valid
64.0ms79×body640valid
16.0ms30×body320valid
11.0ms62×body80valid
3.0ms7×body160valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
01925
14425
214825
381623
4462521
done500021

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 41.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ (pow t 3.0) (* l l)) (sin k))
0.8b
(/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)))
16.2b
(/ (pow t 3.0) (* l l))
29.1b
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

rewrite375.0ms

Algorithm
rewrite-expression-head
Rules
343×times-frac
282×add-exp-log
153×unpow-prod-down
145×add-sqr-sqrt
138×add-cube-cbrt *-un-lft-identity
137×div-exp
103×prod-exp
65×add-cbrt-cube
58×associate-*l/
57×associate-/r/
38×tan-quot
34×pow-exp
33×div-inv
24×cbrt-undiv pow-to-exp
21×cbrt-unprod
20×associate-/l*
19×frac-times associate-*r/ associate-/r*
15×sqr-pow
11×associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×frac-2neg associate-*r* clear-num
1×pow-prod-down *-commutative associate-/l/
Counts
4 → 367
Calls
4 calls:
43.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
124.0ms
(/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)))
12.0ms
(/ (pow t 3.0) (* l l))
163.0ms
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

series2.1s

Counts
4 → 12
Calls
4 calls:
376.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
594.0ms
(/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)))
254.0ms
(/ (pow t 3.0) (* l l))
869.0ms
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

simplify842.0ms

Counts
379 → 379
Iterations

Useful iterations: done (808.0ms)

IterNodesCost
066610587
1151110077
done50009521

prune2.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 14.8b

localize44.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (* (pow k 2.0) (pow t 1.0)))
5.1b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
8.6b
(* (pow k 2.0) (pow t 1.0))
16.3b
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite297.0ms

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×expm1-log1p-u log1p-expm1-u div-inv associate-/l* add-log-exp
3×unpow2
2×frac-2neg clear-num *-commutative
1×pow-flip associate-*r/ inv-pow
Counts
4 → 608
Calls
4 calls:
18.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
28.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
37.0ms
(* (pow k 2.0) (pow t 1.0))
134.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series2.1s

Counts
4 → 12
Calls
4 calls:
504.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
146.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
484.0ms
(* (pow k 2.0) (pow t 1.0))
920.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify1.9s

Counts
620 → 620
Iterations

Useful iterations: done (1.9s)

IterNodesCost
049115125
1122012973
2298412703
done500012259

prune969.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.7b

localize51.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (sin k) 2)
1.0b
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
5.1b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
16.3b
(* (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)))

rewrite632.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 1468
Calls
4 calls:
8.0ms
(pow (sin k) 2)
70.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
26.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
239.0ms
(* (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)))

series1.7s

Counts
4 → 12
Calls
4 calls:
39.0ms
(pow (sin k) 2)
488.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
133.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
1.0s
(* (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)))

simplify2.1s

Counts
1480 → 1480
Iterations

Useful iterations: done (2.0s)

IterNodesCost
060550477
1152531964
2321231674
done500130411

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (sin k) 2)
2.9b
(* (pow (/ (* (cbrt 1) (cbrt 1)) (pow k (/ 2.0 2))) 1.0) (* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2))))
5.1b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
13.2b
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
22030×add-exp-log
15939×prod-exp
12558×pow-exp
9152×div-exp
6078×pow-to-exp
1300×rec-exp 1-exp
34×unpow-prod-down
32×add-cbrt-cube
26×times-frac associate-*l*
25×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
13×associate-*r* cbrt-unprod
8×associate-/r* sqr-pow
6×cbrt-undiv
5×pow1
4×expm1-log1p-u log1p-expm1-u div-inv unpow2 add-log-exp
3×pow-unpow associate-*r/ unswap-sqr
2×*-commutative
1×pow-pow frac-2neg clear-num associate-/l*
Counts
4 → 4433
Calls
4 calls:
6.0ms
(pow (sin k) 2)
291.0ms
(* (pow (/ (* (cbrt 1) (cbrt 1)) (pow k (/ 2.0 2))) 1.0) (* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2))))
34.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
106.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series2.5s

Counts
4 → 12
Calls
4 calls:
30.0ms
(pow (sin k) 2)
941.0ms
(* (pow (/ (* (cbrt 1) (cbrt 1)) (pow k (/ 2.0 2))) 1.0) (* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2))))
146.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
1.4s
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify3.7s

Counts
4445 → 4445
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01163192280
12611149599
24561145264
done5001133207

prune991.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.8b

regimes1.1s

Accuracy

55.3% (3.9b remaining)

Error of 12.9b against oracle of 9.0b and baseline of 17.7b

bsearch4.0ms

simplify24.0ms

Iterations

Useful iterations: done (24.0ms)

IterNodesCost
065159
182157
done82155

end0.0ms

sample21.0s

Algorithm
intervals
Results
6.0s947×body5120valid
5.9s2169×body2560valid
5.2s4138×body1280valid
2.0s2505×body640valid
555.0ms976×body320valid
367.0ms2045×body80valid
162.0ms431×body160valid