Details

Time bar (total: 21.9s)

sample147.0ms

Algorithm
intervals
Results
57.0ms71×body1280valid
33.0ms63×body640valid
19.0ms177×body80valid
11.0ms30×body320valid
8.0ms14×body160valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
04813
116113
294413
3500212
done500212

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 34.4b

localize20.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
3.7b
(* (/ (pow t 3.0) (* l l)) (sin k))
14.8b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
18.2b
(/ (pow t 3.0) (* l l))

rewrite635.0ms

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×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u 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 → 152
Calls
4 calls:
77.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
33.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
505.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
11.0ms
(/ (pow t 3.0) (* l l))

series1.4s

Counts
4 → 12
Calls
4 calls:
339.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
260.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
659.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
176.0ms
(/ (pow t 3.0) (* l l))

simplify119.0ms

Counts
164 → 164
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08171679
147261405
250011405
done50011405

prune539.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 18.5b

localize27.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
3.7b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
9.7b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
14.8b
(* (* (* (* (/ (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))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
346×add-exp-log
203×prod-exp
97×div-exp
82×add-cbrt-cube
55×associate-*l/
46×cbrt-unprod
41×pow-exp
35×frac-times
32×pow1
28×pow-to-exp
22×*-un-lft-identity
19×pow-prod-down
17×add-sqr-sqrt add-cube-cbrt
16×tan-quot
15×times-frac associate-*r/
13×cbrt-undiv
11×associate-*r*
8×flip3-+ flip-+
5×associate-/l*
4×expm1-log1p-u unpow-prod-down log1p-expm1-u add-log-exp sqr-pow
3×associate-*l* associate-/r* *-commutative distribute-lft-out
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv
Counts
4 → 212
Calls
4 calls:
186.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
54.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
9.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
924.0ms
(* (* (* (* (/ (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))

series1.6s

Counts
4 → 12
Calls
4 calls:
377.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
305.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
203.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
755.0ms
(* (* (* (* (/ (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))

simplify61.0ms

Counts
224 → 224
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011963855
150013336
done50013336

prune767.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 12.6b

localize38.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
2.0b
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
3.7b
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (/ (pow (cbrt t) 3.0) l)) (sin k))
14.8b
(* (* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite2.6s

Algorithm
rewrite-expression-head
Rules
1587×add-exp-log
1114×prod-exp
381×div-exp
280×pow-exp
172×pow-to-exp
119×add-cbrt-cube
76×cbrt-unprod
55×associate-*l/
35×frac-times
33×pow1 associate-*r/
19×pow-prod-down
16×tan-quot
15×cbrt-undiv *-un-lft-identity
11×associate-*r*
10×add-sqr-sqrt add-cube-cbrt
8×flip3-+ flip-+
6×unpow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow-unpow associate-*l* *-commutative distribute-lft-out
2×pow-pow
1×distribute-rgt-in distribute-lft-in pow1/3 sqr-pow
Counts
4 → 393
Calls
4 calls:
3.0ms
(pow (cbrt t) 3.0)
469.0ms
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
144.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (/ (pow (cbrt t) 3.0) l)) (sin k))
1.9s
(* (* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series1.7s

Counts
4 → 12
Calls
4 calls:
304.0ms
(pow (cbrt t) 3.0)
377.0ms
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
292.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (/ (pow (cbrt t) 3.0) l)) (sin k))
745.0ms
(* (* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify88.0ms

Counts
405 → 405
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
016799381
150027054
done50027054

prune862.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 12.1b

localize38.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
2.0b
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
4.0b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
14.8b
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
1884×add-exp-log
1325×prod-exp
432×div-exp
334×pow-exp
199×pow-to-exp
151×add-cbrt-cube
96×cbrt-unprod
47×associate-*l/
40×add-sqr-sqrt
37×associate-*l*
35×frac-times
34×pow1 times-frac
33×associate-*r/
32×*-un-lft-identity
27×add-cube-cbrt
20×unpow-prod-down pow-prod-down
19×cbrt-undiv
16×tan-quot
12×associate-*r*
10×cbrt-prod
8×flip3-+ flip-+
5×unswap-sqr
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp sqr-pow
3×distribute-lft-out
1×distribute-rgt-in distribute-lft-in div-inv
Counts
4 → 494
Calls
4 calls:
76.0ms
(* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
231.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
30.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.0s
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series1.9s

Counts
4 → 12
Calls
4 calls:
292.0ms
(* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
376.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
238.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
984.0ms
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify112.0ms

Counts
506 → 506
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
0183211365
150018648
done50018648

prune989.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 11.6b

regimes787.0ms

Accuracy

12.7% (6.8b remaining)

Error of 16.5b against oracle of 9.7b and baseline of 17.5b

bsearch634.0ms

Steps
ItersRangePoint
10
3.0561487330222832e+99
8.42354195630604e+114
2.6298142138033434e+112
9
7.134776156661246e-80
1.3739249656508784e-74
3.3841965472717056e-77
7
-6.540912977329925e-122
-2.0597641827982725e-123
-1.4374109414254249e-122
10
-1.1759810920181224e+35
-9.15937870925839e+18
-6.624617014004735e+24

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116165
1116165
done116165

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.7s2070×body1280valid
912.0ms1719×body640valid
662.0ms5988×body80valid
314.0ms848×body320valid
102.0ms395×body160valid