Details

Time bar (total: 50.1s)

sample361.0ms

Algorithm
intervals
Results
124.0ms73×body1280valid
113.0ms191×body80valid
62.0ms51×body640valid
17.0ms21×body320valid
7.0ms13×body160valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
01925
14825
216025
388225
4495024
done500024

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize52.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
4.1b
(* (/ (pow t 3.0) (* l l)) (sin k))
16.0b
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (fma 2 1.0 (pow (/ k t) 2.0)))
16.6b
(/ (pow t 3.0) (* l l))

rewrite341.0ms

Algorithm
rewrite-expression-head
Rules
119×add-exp-log
59×times-frac add-cbrt-cube
49×prod-exp
43×div-exp
39×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
21×cbrt-unprod
19×cbrt-undiv
17×associate-/l*
16×associate-*l/
12×associate-*l* associate-/r/
11×pow1
10×tan-quot unpow-prod-down
8×pow-to-exp pow-exp
7×div-inv
6×associate-*r*
5×frac-times associate-*r/
4×expm1-log1p-u pow-prod-down associate-/r* log1p-expm1-u add-log-exp unswap-sqr sqr-pow
2×frac-2neg clear-num *-commutative
1×associate-/l/
Counts
4 → 178
Calls
4 calls:
84.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
36.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
177.0ms
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (fma 2 1.0 (pow (/ k t) 2.0)))
36.0ms
(/ (pow t 3.0) (* l l))

series2.2s

Counts
4 → 12
Calls
4 calls:
594.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
353.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
995.0ms
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (fma 2 1.0 (pow (/ k t) 2.0)))
287.0ms
(/ (pow t 3.0) (* l l))

simplify2.2s

Counts
190 → 190
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03714464
19304301
233093731
done50013730

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 23.6b

localize48.0ms

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))
4.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
8.3b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
16.0b
(/ (/ 2.0 (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))) (fma 2 1.0 (pow (/ k t) 2.0)))

rewrite557.0ms

Algorithm
rewrite-expression-head
Rules
333×add-exp-log
157×prod-exp
132×div-exp
103×times-frac
88×add-cbrt-cube
72×add-sqr-sqrt
59×add-cube-cbrt *-un-lft-identity
46×associate-*l/
36×cbrt-unprod
35×associate-*l*
33×pow-exp
29×cbrt-undiv
28×associate-/r/
25×frac-times
24×unpow-prod-down
22×pow-to-exp
20×tan-quot
19×associate-/l*
15×pow1 associate-*r/
10×cbrt-prod
8×sqr-pow
7×pow-prod-down div-inv
6×associate-*r* associate-/r*
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num *-commutative
1×associate-/l/
Counts
4 → 266
Calls
4 calls:
203.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
48.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
10.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
276.0ms
(/ (/ 2.0 (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))) (fma 2 1.0 (pow (/ k t) 2.0)))

series2.3s

Counts
4 → 12
Calls
4 calls:
492.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
376.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
277.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
1.1s
(/ (/ 2.0 (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))) (fma 2 1.0 (pow (/ k t) 2.0)))

simplify3.3s

Counts
278 → 278
Iterations

Useful iterations: done (3.2s)

IterNodesCost
05638511
114168094
248247039
done50007038

prune2.1s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 17.4b

localize54.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
2.0b
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
4.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
16.0b
(/ (/ 2.0 (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))) (fma 2 1.0 (pow (/ k t) 2.0)))

rewrite2.6s

Algorithm
rewrite-expression-head
Rules
3047×add-exp-log
1679×prod-exp
1234×div-exp
365×add-cbrt-cube
313×pow-to-exp pow-exp
223×cbrt-unprod
135×associate-*l/
132×cbrt-undiv
112×times-frac
90×frac-times
70×add-sqr-sqrt
60×associate-/r/
57×add-cube-cbrt *-un-lft-identity
40×tan-quot
38×associate-*r/
36×pow1 associate-*l*
22×pow-prod-down associate-/l*
20×unpow-prod-down
10×cbrt-prod
7×associate-*r*
6×div-inv
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×associate-/r* *-commutative
1×frac-2neg clear-num associate-/l/
Counts
4 → 727
Calls
4 calls:
297.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
990.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
40.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.2s
(/ (/ 2.0 (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))) (fma 2 1.0 (pow (/ k t) 2.0)))

series2.4s

Counts
4 → 12
Calls
4 calls:
469.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
553.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
326.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.1s
(/ (/ 2.0 (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))) (fma 2 1.0 (pow (/ k t) 2.0)))

simplify1.6s

Counts
739 → 739
Iterations

Useful iterations: done (1.5s)

IterNodesCost
090632662
1232327328
done500023803

prune3.1s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 15.4b

localize73.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
2.0b
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
4.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
16.0b
(/ (/ 2.0 (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))) (fma 2 1.0 (pow (/ k t) 2.0)))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
2252×add-exp-log
1224×prod-exp
932×div-exp
274×add-cbrt-cube
212×pow-to-exp pow-exp
162×cbrt-unprod
112×times-frac
106×cbrt-undiv associate-*l/
85×frac-times
73×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity associate-/r/
55×associate-*r/
40×tan-quot
35×associate-*l*
26×unpow-prod-down
22×associate-/l*
21×pow1
13×cbrt-prod
11×pow-prod-down
6×associate-*r* div-inv
5×unswap-sqr sqr-pow
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r*
2×pow-pow *-commutative
1×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 564
Calls
4 calls:
4.0ms
(pow (cbrt t) 3.0)
761.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
51.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.1s
(/ (/ 2.0 (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))) (fma 2 1.0 (pow (/ k t) 2.0)))

series2.6s

Counts
4 → 12
Calls
4 calls:
455.0ms
(pow (cbrt t) 3.0)
601.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
350.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.2s
(/ (/ 2.0 (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))) (fma 2 1.0 (pow (/ k t) 2.0)))

simplify1.6s

Counts
576 → 576
Iterations

Useful iterations: done (1.5s)

IterNodesCost
092025596
1234822998
done500120142

prune2.4s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 12.9b

regimes1.1s

Accuracy

30.8% (3.1b remaining)

Error of 14.5b against oracle of 11.4b and baseline of 15.9b

bsearch859.0ms

Steps
ItersRangePoint
10
1.4465949216929953e-102
7.592268556268885e-87
2.7937020586527505e-102
9
-4.058275967241832e-80
-4.230586875784936e-85
-6.345800069812645e-84
7
-2.7913152028957945e+157
-1.669457049351627e+156
-5.21677149703151e+156

simplify16.0ms

Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
057192
171192
done71192

end0.0ms

sample11.5s

Algorithm
intervals
Results
4.8s2111×body1280valid
3.1s1726×body640valid
1.8s5913×body80valid
823.0ms867×body320valid
221.0ms417×body160valid