Details

Time bar (total: 1.1m)

sample712.0ms

Algorithm
intervals
Results
251.0ms135×body1280valid
186.0ms58×body2560valid
120.0ms19×body5120valid
78.0ms86×body640valid
19.0ms28×body320valid
12.0ms61×body80valid
5.0ms12×body160valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
01925
14425
214825
381623
4462521
done500021

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 40.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (pow t 3.0) (* l l)) (sin k))
1.2b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
16.6b
(/ (pow t 3.0) (* l l))
30.2b
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

rewrite380.0ms

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:
36.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
112.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
14.0ms
(/ (pow t 3.0) (* l l))
193.0ms
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

series1.9s

Counts
4 → 12
Calls
4 calls:
281.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
518.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
250.0ms
(/ (pow t 3.0) (* l l))
854.0ms
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

simplify883.0ms

Counts
374 → 374
Iterations

Useful iterations: done (868.0ms)

IterNodesCost
067010352
115169848
done50009342

prune1.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 16.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (* (pow k 2.0) (pow t 1.0)))
3.5b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
6.8b
(* (pow k 2.0) (pow t 1.0))
17.3b
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite212.0ms

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:
18.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
25.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
21.0ms
(* (pow k 2.0) (pow t 1.0))
81.0ms
(* (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:
564.0ms
(/ 1 (* (pow k 2.0) (pow t 1.0)))
108.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
427.0ms
(* (pow k 2.0) (pow t 1.0))
1.1s
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify2.1s

Counts
620 → 620
Iterations

Useful iterations: done (2.1s)

IterNodesCost
049115125
1122012973
2298412703
done500012259

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 12.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (sin k) 2)
0.5b
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
3.5b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
17.3b
(* (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)))

rewrite606.0ms

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:
6.0ms
(pow (sin k) 2)
60.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
17.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
169.0ms
(* (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)))

series1.7s

Counts
4 → 12
Calls
4 calls:
36.0ms
(pow (sin k) 2)
543.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
155.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
964.0ms
(* (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)))

simplify2.0s

Counts
1480 → 1480
Iterations

Useful iterations: done (1.9s)

IterNodesCost
060550477
1152531964
2321231674
done500130411

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0)))
2.0b
(* (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))))
3.5b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
13.5b
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite2.5s

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:
37.0ms
(/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0)))
236.0ms
(* (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))))
19.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
106.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series2.6s

Counts
4 → 12
Calls
4 calls:
515.0ms
(/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0)))
1.0s
(* (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))))
127.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
990.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify3.6s

Counts
5782 → 5782
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01484226187
13385190742
done5000190248

prune1.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.7b

regimes515.0ms

Accuracy

44.9% (5.0b remaining)

Error of 13.6b against oracle of 8.6b and baseline of 17.7b

bsearch1.7s

Steps
ItersRangePoint
9
6.663579023451854e+147
2.9782181803749555e+154
9.15073887402541e+153
9
1.2896822248683738e-160
3.5672657208799707e-153
6.864140584531932e-157
8
-1.5893335989949588e-127
-7.924262207262679e-131
-1.0114228661124026e-130

simplify10.0ms

Iterations

Useful iterations: done (10.0ms)

IterNodesCost
059160
173156
done73152

end0.0ms

sample31.7s

Algorithm
intervals
Results
8.6s2274×body2560valid
8.4s956×body5120valid
8.2s4079×body1280valid
3.5s2510×body640valid
1.3s983×body320valid
601.0ms2062×body80valid
204.0ms445×body160valid