Details

Time bar (total: 49.2s)

sample258.0ms

Algorithm
intervals
Results
82.0ms68×body1280valid
77.0ms190×body80valid
49.0ms60×body640valid
13.0ms20×body320valid
6.0ms14×body160valid

simplify455.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize34.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (/ (pow t 3.0) (* l l)) (sin k))
3.2b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
12.6b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
14.0b
(/ (pow t 3.0) (* l l))

rewrite972.0ms

Algorithm
rewrite-expression-head
Rules
108×add-exp-log
58×prod-exp
52×add-cbrt-cube
26×cbrt-unprod
24×div-exp
21×add-sqr-sqrt
20×pow1
19×*-un-lft-identity
17×times-frac
16×associate-*l/
14×add-cube-cbrt
13×associate-*l*
11×associate-*r*
10×frac-times unpow-prod-down pow-prod-down
8×tan-quot cbrt-undiv pow-to-exp pow-exp
7×associate-/l*
6×associate-*r/
4×flip3-+ flip-+ add-log-exp unswap-sqr sqr-pow
3×*-commutative distribute-lft-out
2×div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r*
Counts
4 → 144
Calls
4 calls:
44.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
99.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
807.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
13.0ms
(/ (pow t 3.0) (* l l))

series2.0s

Counts
4 → 12
Calls
4 calls:
362.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
447.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
922.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
254.0ms
(/ (pow t 3.0) (* l l))

simplify2.0s

Counts
156 → 156

prune870.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 14.6b

localize71.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
3.3b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
4.8b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
12.6b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
304×add-exp-log
184×prod-exp
78×add-cbrt-cube
77×div-exp
50×add-sqr-sqrt
49×times-frac
44×associate-*l/ cbrt-unprod
42×*-un-lft-identity
37×add-cube-cbrt
36×associate-*l*
34×frac-times
33×pow-exp
29×pow1
24×unpow-prod-down
22×pow-to-exp
17×pow-prod-down
16×tan-quot
14×associate-*r/
12×cbrt-undiv
11×associate-*r*
10×cbrt-prod
8×flip3-+ flip-+ sqr-pow
5×associate-/l* unswap-sqr
4×add-log-exp
3×associate-/r* *-commutative distribute-lft-out
2×div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 229
Calls
4 calls:
217.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
39.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
10.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
1.2s
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series2.6s

Counts
4 → 12
Calls
4 calls:
575.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
340.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
287.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
1.4s
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify822.0ms

Counts
241 → 241

prune1.6s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 10.8b

localize50.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
3.2b
(* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
3.3b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
12.6b
(* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite2.7s

Algorithm
rewrite-expression-head
Rules
1050×add-exp-log
674×times-frac
554×prod-exp
435×div-exp
404×unpow-prod-down
381×associate-*l*
343×add-sqr-sqrt
335×*-un-lft-identity
330×add-cube-cbrt
202×cbrt-prod
151×add-cbrt-cube
145×pow-to-exp pow-exp
78×cbrt-unprod
68×sqr-pow
47×associate-*l/
37×cbrt-undiv
35×frac-times
34×pow1
20×pow-prod-down
16×tan-quot
15×associate-*r/
12×associate-*r* div-inv
8×flip3-+ flip-+
5×unswap-sqr
4×*-commutative add-log-exp
3×distribute-lft-out
1×distribute-rgt-in distribute-lft-in associate-/r/
Counts
4 → 710
Calls
4 calls:
273.0ms
(* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
421.0ms
(* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
39.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.8s
(* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series2.6s

Counts
4 → 12
Calls
4 calls:
404.0ms
(* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
597.0ms
(* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
401.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.2s
(* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify1.6s

Counts
722 → 722

prune5.2s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 8.2b

localize46.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
3.3b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
8.0b
(/ (* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) (/ l (pow (cbrt t) 3.0)))
10.4b
(* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
576×add-exp-log
347×prod-exp
183×div-exp
128×times-frac
103×add-cbrt-cube
80×add-sqr-sqrt
72×*-un-lft-identity
67×pow-to-exp add-cube-cbrt pow-exp
56×unpow-prod-down
53×cbrt-unprod
36×associate-*l*
34×associate-/r*
28×cbrt-prod associate-*l/
25×associate-*r/
23×cbrt-undiv
19×frac-times
14×tan-quot
13×pow1
11×associate-*r* associate-/l/
10×sqr-pow
8×flip3-+ flip-+
5×pow-prod-down unswap-sqr
4×div-inv add-log-exp
3×*-commutative distribute-lft-out
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r/ associate-/l*
Counts
4 → 320
Calls
4 calls:
182.0ms
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
43.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
868.0ms
(/ (* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) (/ l (pow (cbrt t) 3.0)))
1.1s
(* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series3.2s

Counts
4 → 12
Calls
4 calls:
528.0ms
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
408.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.0s
(/ (* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) (/ l (pow (cbrt t) 3.0)))
1.3s
(* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify970.0ms

Counts
332 → 332

prune1.8s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 7.0b

regimes1.1s

Accuracy

56.8% (3.7b remaining)

Error of 10.3b against oracle of 6.7b and baseline of 15.1b

bsearch1.4s

Steps
ItersRangePoint
10
8.279237761881496e-107
1.4206270779423288e-90
1.0655729228826958e-98
8
-1.1781732827790982e-94
-2.370366396851732e-99
-1.4961512058302025e-95
8
-8.789741073613912e+103
-5.895200267153928e+100
-1.7777002924731655e+101

simplify2.3s

end0.0ms

sample10.9s

Algorithm
intervals
Results
4.1s2156×body1280valid
2.4s5980×body80valid
1.9s1681×body640valid
1.6s839×body320valid
189.0ms409×body160valid