Details

Time bar (total: 1.4m)

sample1.5s

Algorithm
intervals
Results
808.0ms69×body2560valid
255.0ms33×body5120valid
241.0ms134×body1280valid
109.0ms89×body640valid
25.0ms28×body320valid
17.0ms61×body80valid
6.0ms10×body160valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01925
14425
214825
384123
done500121

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 38.3b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ (pow t 3.0) (* l l)) (sin k))
0.8b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
13.6b
(/ (pow t 3.0) (* l l))
28.3b
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

rewrite559.0ms

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:
70.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
165.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
24.0ms
(/ (pow t 3.0) (* l l))
250.0ms
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

series2.7s

Counts
4 → 12
Calls
4 calls:
486.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
609.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
362.0ms
(/ (pow t 3.0) (* l l))
1.2s
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

simplify1.5s

Counts
374 → 374
Iterations

Useful iterations: done (1.4s)

IterNodesCost
067010352
117859880
done50019414

prune3.7s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 13.5b

localize76.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 1 (* (pow k 2.0) (pow t 1.0)))
3.4b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
6.2b
(* (pow k 2.0) (pow t 1.0))
16.0b
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite389.0ms

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:
36.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
34.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
38.0ms
(* (pow k 2.0) (pow t 1.0))
153.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series2.9s

Counts
4 → 12
Calls
4 calls:
693.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
184.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
700.0ms
(* (pow k 2.0) (pow t 1.0))
1.4s
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify1.2s

Counts
620 → 620
Iterations

Useful iterations: done (1.1s)

IterNodesCost
049115125
1148113001
done500112725

prune2.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.5b

localize78.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (sin k) 2)
0.8b
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
3.4b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
16.0b
(* (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)))

rewrite858.0ms

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)
94.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
34.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
291.0ms
(* (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)))

series2.3s

Counts
4 → 12
Calls
4 calls:
37.0ms
(pow (sin k) 2)
737.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
180.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
1.3s
(* (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)))

simplify1.6s

Counts
1480 → 1480
Iterations

Useful iterations: done (1.5s)

IterNodesCost
060550477
1205133540
done500131701

prune1.9s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.1b

localize89.0ms

Local error

Found 4 expressions with local error:

1.2b
(/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0)))
3.4b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
4.4b
(* (pow (/ 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))))
12.0b
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite3.3s

Algorithm
rewrite-expression-head
Rules
25023×add-exp-log
19197×prod-exp
16899×pow-exp
11140×div-exp
7959×pow-to-exp
2990×rec-exp 1-exp
51×unpow-prod-down
43×times-frac
40×associate-*l*
37×add-cbrt-cube
36×add-sqr-sqrt
31×add-cube-cbrt *-un-lft-identity
14×cbrt-unprod
13×associate-*r*
9×associate-/r* sqr-pow
8×cbrt-undiv
5×pow1 div-inv
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
3×associate-*r/ unpow2 unswap-sqr
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 5770
Calls
4 calls:
39.0ms
(/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0)))
34.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
411.0ms
(* (pow (/ 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))))
176.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series3.4s

Counts
4 → 12
Calls
4 calls:
696.0ms
(/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0)))
170.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
1.3s
(* (pow (/ 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))))
1.3s
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify4.0s

Counts
5782 → 5782
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01484226187
done5000203113

prune4.8s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 9.2b

regimes1.3s

Accuracy

5.5% (7.3b remaining)

Error of 18.2b against oracle of 10.8b and baseline of 18.6b

bsearch1.0s

Steps
ItersRangePoint
10
-3.493383993063454e+114
-4.894566258717386e+103
-3.4500322461818804e+114

simplify57.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04272
15272
done5272

end0.0ms

sample41.0s

Algorithm
intervals
Results
11.9s2225×body2560valid
11.7s4071×body1280valid
9.6s985×body5120valid
4.3s2512×body640valid
985.0ms1010×body320valid
731.0ms2094×body80valid
318.0ms434×body160valid