Details

sample38.0ms

Algorithm

intervals

Results

17.0ms	378×	body	80	valid
5.0ms	147×	body	80	nan

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	12	15
1	24	15
2	47	13
3	91	13
4	220	13
5	650	13
6	2326	13
done	5000	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(* a (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
1.4b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`prod-exp`
4×	`pow1` `unpow-prod-down` `div-exp` `sum-log`
3×	`flip3-+` `times-frac` `associate-l` `associate-/r*` `flip-+` `unswap-sqr`
2×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-exp` `associate-/r/` `cbrt-unprod` `sqr-pow`
1×	`associate-+l+` `frac-2neg` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 74

Calls

4 calls:

2.0ms	(+ 1.0 (* 10.0 k))
6.0ms	(* a (pow k m))
10.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
18.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ 1.0 (* 10.0 k))
60.0ms	(* a (pow k m))
18.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
114.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify677.0ms

Counts

86 → 86

Iterations

Useful iterations: done (674.0ms)

Iter	Nodes	Cost
0	171	1264
1	455	1098
2	1525	988
done	5000	984

prune222.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* a (* (cbrt (pow k m)) (cbrt (pow k m)))) (cbrt (pow k m)))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b	(* (cbrt (pow k m)) (cbrt (pow k m)))
1.4b	(/ (* (* a (* (cbrt (pow k m)) (cbrt (pow k m)))) (cbrt (pow k m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

59×	`cbrt-prod`
45×	`add-sqr-sqrt`
29×	`add-exp-log`
23×	`unpow-prod-down`
21×	`add-cube-cbrt` `*-un-lft-identity`
20×	`pow1` `associate-r`
17×	`add-cbrt-cube`
16×	`unswap-sqr`
13×	`prod-exp` `cbrt-unprod` `sqr-pow`
11×	`associate-l`
10×	`swap-sqr`
9×	`add-log-exp`
8×	`pow-prod-down`
6×	`pow1/3`
4×	`cbrt-undiv` `div-exp`
3×	`times-frac` `associate-/r*` `sum-log`
2×	`flip3-+` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+`
1×	`+-commutative` `pow2` `associate-+l+` `frac-2neg` `pow-plus` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 132

Calls

4 calls:

60.0ms	(* (* a (* (cbrt (pow k m)) (cbrt (pow k m)))) (cbrt (pow k m)))
10.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
15.0ms	(* (cbrt (pow k m)) (cbrt (pow k m)))
68.0ms	(/ (* (* a (* (cbrt (pow k m)) (cbrt (pow k m)))) (cbrt (pow k m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (* a (* (cbrt (pow k m)) (cbrt (pow k m)))) (cbrt (pow k m)))
18.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
103.0ms	(* (cbrt (pow k m)) (cbrt (pow k m)))
123.0ms	(/ (* (* a (* (cbrt (pow k m)) (cbrt (pow k m)))) (cbrt (pow k m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify881.0ms

Counts

144 → 144

Iterations

Useful iterations: 2 (328.0ms)

Iter	Nodes	Cost
0	239	2932
1	619	2672
2	2529	2077
done	5000	2077

prune421.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.1b	(/ (/ (* a (pow (cbrt (pow k m)) 3)) (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
15.4b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
15.4b	(sqrt (+ 1.0 (* k (+ 10.0 k))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`sqrt-prod`
59×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
55×	`add-cube-cbrt`
22×	`add-exp-log`
20×	`sqrt-div`
16×	`associate-/r/`
15×	`add-cbrt-cube`
12×	`associate-/l*`
11×	`flip3-+` `flip-+`
9×	`div-exp`
8×	`pow1` `div-inv`
6×	`associate-/r*`
5×	`cbrt-undiv`
4×	`associate-r` `prod-exp` `add-log-exp`
3×	`associate-l`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/` `cbrt-unprod`
1×	`distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `pow-prod-down` `pow-exp` `clear-num` `*-commutative` `associate-/l/` `distribute-lft-out` `unswap-sqr`

Counts

4 → 164

Calls

4 calls:

10.0ms	(* k (+ 10.0 k))
30.0ms	(/ (/ (* a (pow (cbrt (pow k m)) 3)) (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
11.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
3.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))

series265.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* k (+ 10.0 k))
121.0ms	(/ (/ (* a (pow (cbrt (pow k m)) 3)) (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
49.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
52.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))

simplify932.0ms

Counts

176 → 176

Iterations

Useful iterations: 2 (390.0ms)

Iter	Nodes	Cost
0	331	6201
1	851	4675
2	2918	4356
done	5000	4356

prune541.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (/ a (sqrt (sqrt (+ 1.0 (* k (+ 10.0 k)))))) (* (/ (sqrt (+ (* k (+ 10.0 k)) 1.0)) (pow k m)) (sqrt (sqrt (+ (* k (+ 10.0 k)) 1.0)))))
15.4b	(sqrt (+ 1.0 (* k (+ 10.0 k))))
15.4b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
15.4b	(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
63×	`sqrt-prod`
48×	`add-sqr-sqrt`
45×	`add-cube-cbrt` `*-un-lft-identity`
41×	`add-exp-log`
33×	`associate-/l*`
25×	`add-cbrt-cube`
22×	`sqrt-div`
21×	`div-exp`
11×	`cbrt-undiv`
9×	`associate-/r/`
8×	`prod-exp`
7×	`pow1` `flip3-+` `flip-+`
4×	`cbrt-unprod` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv`
2×	`frac-times` `pow-to-exp` `associate-*r/` `pow-exp`
1×	`frac-2neg` `associate-l/` `clear-num` `associate-/r` `associate-/l/`

Counts

4 → 144

Calls

4 calls:

36.0ms	(/ (/ a (sqrt (sqrt (+ 1.0 (* k (+ 10.0 k)))))) (* (/ (sqrt (+ (* k (+ 10.0 k)) 1.0)) (pow k m)) (sqrt (sqrt (+ (* k (+ 10.0 k)) 1.0)))))
3.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))
8.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
8.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series275.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(/ (/ a (sqrt (sqrt (+ 1.0 (* k (+ 10.0 k)))))) (* (/ (sqrt (+ (* k (+ 10.0 k)) 1.0)) (pow k m)) (sqrt (sqrt (+ (* k (+ 10.0 k)) 1.0)))))
48.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))
51.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
54.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify834.0ms

Counts

156 → 156

Iterations

Useful iterations: 2 (341.0ms)

Iter	Nodes	Cost
0	320	5376
1	828	4549
2	2683	3529
done	5001	3529

prune770.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.4b

regimes87.0ms

Accuracy

0% (0.1b remaining)

Error of 1.9b against oracle of 1.9b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	20	26
done	20	26

end0.0ms

sample986.0ms

Algorithm

intervals

Results

493.0ms	11895×	body	80	valid
146.0ms	4267×	body	80	nan