Details

Time bar (total: 2.8m)

sample838.0ms

Algorithm
intervals
Results
297.0ms76×body2560valid
201.0ms30×body5120valid
147.0ms109×body1280valid
107.0ms87×body640valid
22.0ms39×body320valid
13.0ms65×body80valid
7.0ms17×body160valid

simplify503.0ms

Counts
1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 38.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ k t) 2.0)
1.7b
(* (pow t 3.0) (tan k))
19.0b
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
29.5b
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

rewrite354.0ms

Algorithm
rewrite-expression-head
Rules
337×add-exp-log
220×prod-exp
71×div-exp
65×add-cbrt-cube
51×pow-exp
34×pow-to-exp cbrt-unprod
30×unpow-prod-down
28×add-sqr-sqrt
24×associate-*l*
23×add-cube-cbrt *-un-lft-identity
19×times-frac
12×cbrt-undiv
5×pow1 associate-*r/
4×associate-*r* add-log-exp sqr-pow
3×tan-quot pow-unpow div-inv unswap-sqr
2×*-commutative
1×pow-pow frac-2neg associate-*l/ clear-num associate-/r* associate-/r/ associate-/l*
Counts
4 → 179
Calls
4 calls:
13.0ms
(pow (/ k t) 2.0)
33.0ms
(* (pow t 3.0) (tan k))
197.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
87.0ms
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

series1.4s

Counts
4 → 12
Calls
4 calls:
105.0ms
(pow (/ k t) 2.0)
353.0ms
(* (pow t 3.0) (tan k))
585.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
369.0ms
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

simplify2.3s

Counts
191 → 191

prune632.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 19.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 1 (* (pow k 2.0) (pow t 1.0)))
5.2b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
7.6b
(* (pow k 2.0) (pow t 1.0))
14.3b
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite324.0ms

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:
34.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
36.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
33.0ms
(* (pow k 2.0) (pow t 1.0))
119.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series2.2s

Counts
4 → 12
Calls
4 calls:
575.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
170.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
506.0ms
(* (pow k 2.0) (pow t 1.0))
977.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify1.7s

Counts
612 → 612

prune808.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 15.3b

localize42.0ms

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))))
5.2b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
14.3b
(* (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)))

rewrite603.0ms

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:
4.0ms
(pow (sin k) 2)
53.0ms
(/ 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))
181.0ms
(* (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)))

series1.5s

Counts
4 → 12
Calls
4 calls:
26.0ms
(pow (sin k) 2)
457.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
135.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
927.0ms
(* (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)))

simplify2.5s

Counts
1472 → 1472

prune906.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.4b

localize58.0ms

Local error

Found 4 expressions with local error:

0.8b
(pow (cbrt (sin k)) 4)
0.8b
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
2.4b
(/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2))
14.3b
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2)))

rewrite5.3s

Algorithm
rewrite-expression-head
Rules
28004×times-frac
11423×add-sqr-sqrt
10970×add-cube-cbrt *-un-lft-identity
10470×add-exp-log
7729×unpow-prod-down
6478×div-exp
5244×prod-exp
4340×pow-exp
3843×cbrt-prod
3557×associate-*r*
2573×pow-to-exp
1342×sqr-pow
668×unpow2
620×rec-exp 1-exp
326×associate-/l*
303×div-inv
108×unswap-sqr
47×add-cbrt-cube
23×cbrt-undiv associate-/r/
12×associate-/r*
11×associate-*l*
8×cbrt-unprod
6×pow1
4×add-log-exp
3×pow-unpow
2×pow-pow frac-2neg clear-num
1×pow-flip pow1/3 associate-*r/ *-commutative associate-/l/ inv-pow
Counts
4 → 9570
Calls
4 calls:
8.0ms
(pow (cbrt (sin k)) 4)
69.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
276.0ms
(/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2))
2.7s
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2)))

series1.8s

Counts
4 → 12
Calls
4 calls:
231.0ms
(pow (cbrt (sin k)) 4)
539.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
116.0ms
(/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2))
941.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2)))

simplify12.0s

Counts
9582 → 9582

prune1.6m

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 5.5b

regimes1.2s

Accuracy

22.4% (4.2b remaining)

Error of 10.8b against oracle of 6.6b and baseline of 12.0b

bsearch7.0ms

simplify1.7s

end0.0ms

sample30.0s

Algorithm
intervals
Results
7.6s2202×body2560valid
7.4s955×body5120valid
7.3s4042×body1280valid
4.8s2524×body640valid
1.2s1018×body320valid
585.0ms2030×body80valid
250.0ms453×body160valid