Details

Time bar (total: 17.2s)

sample77.0ms

Algorithm
intervals
Results
44.0ms373×body80valid
14.0ms124×body80nan

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done2000
62000
5639
4204
387
247
126
012

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (+ k 10) k) 1)
0.0b
(* (+ k 10) k)
0.0b
(* (pow k m) a)
1.3b
(/ (* (pow k m) a) (+ (* (+ k 10) k) 1))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
18×add-sqr-sqrt
13×*-un-lft-identity add-cbrt-cube
11×associate-*l* add-cube-cbrt
7×prod-exp
6×pow1 associate-*r* add-log-exp
4×unpow-prod-down div-exp insert-posit16 unswap-sqr
3×associate-/r* flip3-+ times-frac cbrt-unprod flip-+
2×pow-to-exp cbrt-undiv associate-*l/ pow-exp associate-/r/ *-commutative sqr-pow
1×+-commutative clear-num sum-log frac-2neg pow-prod-down div-inv distribute-lft-out associate-/l*
Counts
4 → 86
Calls
4 calls:
9.0ms
(+ (* (+ k 10) k) 1)
14.0ms
(* (+ k 10) k)
12.0ms
(* (pow k m) a)
32.0ms
(/ (* (pow k m) a) (+ (* (+ k 10) k) 1))

series416.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* (+ k 10) k) 1)
77.0ms
(* (+ k 10) k)
155.0ms
(* (pow k m) a)
151.0ms
(/ (* (pow k m) a) (+ (* (+ k 10) k) 1))

simplify1.4s

Counts
98 → 98
Iterations
IterNodes
done2018
32018
21531
1458
0175

prune529.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ k 10) k)
0.0b
(* (pow k m) a)
0.3b
(/ 1 (+ (* (+ k 10) k) 1))
1.3b
(* (* (pow k m) a) (/ 1 (+ (* (+ k 10) k) 1)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
32×prod-exp
31×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
22×add-cbrt-cube
21×associate-*r*
18×times-frac
12×associate-*l*
10×div-exp
9×pow1
8×cbrt-unprod
5×pow-to-exp rec-exp 1-exp pow-exp
4×unpow-prod-down associate-/r/ insert-posit16 add-log-exp unswap-sqr
3×cbrt-undiv associate-/r* flip3-+ *-commutative flip-+ associate-/l*
2×pow-prod-down associate-*l/ div-inv sqr-pow
1×clear-num frac-2neg associate-*r/ un-div-inv pow-flip distribute-lft-out inv-pow
Counts
4 → 130
Calls
4 calls:
31.0ms
(* (+ k 10) k)
17.0ms
(* (pow k m) a)
33.0ms
(/ 1 (+ (* (+ k 10) k) 1))
47.0ms
(* (* (pow k m) a) (/ 1 (+ (* (+ k 10) k) 1)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (+ k 10) k)
115.0ms
(* (pow k m) a)
40.0ms
(/ 1 (+ (* (+ k 10) k) 1))
139.0ms
(* (* (pow k m) a) (/ 1 (+ (* (+ k 10) k) 1)))

simplify1.4s

Counts
142 → 142
Iterations
IterNodes
done2011
32011
21925
1608
0226

prune551.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 (sqrt (+ (* (+ k 10) k) 1))) (sqrt (+ (* (+ k 10) k) 1)))
1.3b
(* (* (pow k m) a) (/ (/ 1 (sqrt (+ (* (+ k 10) k) 1))) (sqrt (+ (* (+ k 10) k) 1))))
16.1b
(sqrt (+ (* (+ k 10) k) 1))
16.1b
(sqrt (+ (* (+ k 10) k) 1))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
522×times-frac
276×add-sqr-sqrt
274×*-un-lft-identity add-cube-cbrt
270×sqrt-prod
150×associate-*r*
83×add-exp-log
35×prod-exp
34×sqrt-div
30×add-cbrt-cube div-exp associate-/r/
24×associate-/l*
17×flip3-+ flip-+
15×pow1 div-inv
9×cbrt-undiv cbrt-unprod
6×associate-/r* sqrt-pow1 pow1/2 pow-div
5×pow-to-exp rec-exp 1-exp pow-exp pow-flip
4×insert-posit16 add-log-exp
2×rem-sqrt-square
1×clear-num frac-2neg associate-*l* pow-prod-down associate-*r/ *-commutative inv-pow associate-/l/
Counts
4 → 420
Calls
4 calls:
52.0ms
(/ (/ 1 (sqrt (+ (* (+ k 10) k) 1))) (sqrt (+ (* (+ k 10) k) 1)))
90.0ms
(* (* (pow k m) a) (/ (/ 1 (sqrt (+ (* (+ k 10) k) 1))) (sqrt (+ (* (+ k 10) k) 1))))
22.0ms
(sqrt (+ (* (+ k 10) k) 1))
22.0ms
(sqrt (+ (* (+ k 10) k) 1))

series224.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (/ 1 (sqrt (+ (* (+ k 10) k) 1))) (sqrt (+ (* (+ k 10) k) 1)))
118.0ms
(* (* (pow k m) a) (/ (/ 1 (sqrt (+ (* (+ k 10) k) 1))) (sqrt (+ (* (+ k 10) k) 1))))
47.0ms
(sqrt (+ (* (+ k 10) k) 1))
32.0ms
(sqrt (+ (* (+ k 10) k) 1))

simplify1.6s

Counts
432 → 432
Iterations
IterNodes
done2000
22000
11508
0498

prune2.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (+ (* (sqrt (+ k 10)) (* (sqrt (+ k 10)) k)) 1))
0.2b
(* (sqrt (+ k 10)) k)
0.3b
(* (sqrt (+ k 10)) (* (sqrt (+ k 10)) k))
1.3b
(* (* (pow k m) a) (/ 1 (+ (* (sqrt (+ k 10)) (* (sqrt (+ k 10)) k)) 1)))

rewrite333.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
32×prod-exp
28×add-sqr-sqrt *-un-lft-identity
25×add-cbrt-cube
24×add-cube-cbrt
19×associate-*r*
18×times-frac
15×associate-*l*
14×pow1 sqrt-div
10×div-exp associate-*l/ cbrt-unprod
9×flip3-+ sqrt-prod flip-+
5×rec-exp 1-exp pow-prod-down
4×frac-times pow-to-exp pow-exp associate-/r/ insert-posit16 add-log-exp
3×cbrt-undiv associate-/r* associate-*r/ *-commutative associate-/l*
2×div-inv distribute-lft-out unswap-sqr
1×clear-num frac-2neg un-div-inv pow-flip inv-pow
Counts
4 → 139
Calls
4 calls:
80.0ms
(/ 1 (+ (* (sqrt (+ k 10)) (* (sqrt (+ k 10)) k)) 1))
15.0ms
(* (sqrt (+ k 10)) k)
43.0ms
(* (sqrt (+ k 10)) (* (sqrt (+ k 10)) k))
191.0ms
(* (* (pow k m) a) (/ 1 (+ (* (sqrt (+ k 10)) (* (sqrt (+ k 10)) k)) 1)))

series374.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1 (+ (* (sqrt (+ k 10)) (* (sqrt (+ k 10)) k)) 1))
110.0ms
(* (sqrt (+ k 10)) k)
67.0ms
(* (sqrt (+ k 10)) (* (sqrt (+ k 10)) k))
169.0ms
(* (* (pow k m) a) (/ 1 (+ (* (sqrt (+ k 10)) (* (sqrt (+ k 10)) k)) 1)))

simplify1.1s

Counts
151 → 151
Iterations
IterNodes
done2000
22000
1697
0260

prune766.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

94.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch133.0ms

Steps
ItersRangePoint
8
5.776542735442803e+111
1.6513188856043666e+114
6.005951583124144e+111

simplify13.0ms

Iterations
IterNodes
done65
365
260
153
036

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.2s11974×body80valid
676.0ms4200×body80nan