Details

Time bar (total: 1.1m)

sample801.0ms

Algorithm
intervals
Results
250.0ms71×body2560valid
238.0ms129×body1280valid
165.0ms28×body5120valid
71.0ms87×body640valid
19.0ms31×body320valid
11.0ms56×body80valid
11.0ms15×body160valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
01925
14425
214825
381623
4462521
done500021

prune8.0ms

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))

rewrite437.0ms

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×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
1×associate-/l/
Counts
4 → 362
Calls
4 calls:
127.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
52.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
12.0ms
(/ (pow t 3.0) (* l l))
196.0ms
(/ (/ 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:
502.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
362.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
285.0ms
(/ (pow t 3.0) (* l l))
925.0ms
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

simplify1.1s

Counts
374 → 374
Iterations

Useful iterations: done (1.1s)

IterNodesCost
067010352
115169848
done50009342

prune2.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 16.6b

localize40.0ms

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)))

rewrite350.0ms

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:
37.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
30.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
18.0ms
(* (pow k 2.0) (pow t 1.0))
143.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series2.3s

Counts
4 → 12
Calls
4 calls:
565.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
127.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
559.0ms
(* (pow k 2.0) (pow t 1.0))
1.0s
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify2.0s

Counts
620 → 620
Iterations

Useful iterations: done (2.0s)

IterNodesCost
049115125
1122012973
2298412703
done500012259

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 13.2b

localize35.0ms

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)))

rewrite683.0ms

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:
7.0ms
(pow (sin k) 2)
94.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
18.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
214.0ms
(* (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)))

series1.8s

Counts
4 → 12
Calls
4 calls:
20.0ms
(pow (sin k) 2)
597.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
159.0ms
(/ (* (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)))

simplify2.0s

Counts
1480 → 1480
Iterations

Useful iterations: done (2.0s)

IterNodesCost
060550477
1152531964
2321231674
done500130411

prune1.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 10.2b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.0s

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:
8.0ms
(pow (sin k) 2)
236.0ms
(* (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))))
18.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
113.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series2.2s

Counts
4 → 12
Calls
4 calls:
25.0ms
(pow (sin k) 2)
1.0s
(* (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))))
147.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
1.0s
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify3.4s

Counts
4445 → 4445
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01163192280
12611149599
24561145264
done5001133207

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 10.0b

regimes676.0ms

Accuracy

52.6% (3.9b remaining)

Error of 13.9b against oracle of 10.1b and baseline of 18.3b

bsearch3.0ms

simplify9.0ms

Iterations

Useful iterations: done (9.0ms)

IterNodesCost
056119
169115
done69111

end0.0ms

sample32.4s

Algorithm
intervals
Results
9.5s4128×body1280valid
9.2s2246×body2560valid
7.0s918×body5120valid
3.6s2543×body640valid
1.4s1024×body320valid
563.0ms2021×body80valid
257.0ms440×body160valid