Details

sample39.0ms

Algorithm

intervals

Results

15.0ms	399×	body	80	valid
4.0ms	134×	body	80	nan

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	24	7
1	48	7
2	96	6
3	256	6
4	891	6
5	3963	6
6	5002	6

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.0b

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))
2.1b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite81.0ms

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:

6.0ms	(+ 1.0 (* 10.0 k))
12.0ms	(* a (pow k m))
23.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
38.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 1.0 (* 10.0 k))
66.0ms	(* a (pow k m))
19.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
127.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify59.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	457	599
1	2146	533
2	5001	526

prune209.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.3b	(/ (pow k m) (+ (+ 1.0 (* 10.0 k)) (* k k)))
1.8b	(* a (/ (pow k m) (+ (+ 1.0 (* 10.0 k)) (* k k))))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 121

Calls

4 calls:

6.0ms	(+ 1.0 (* 10.0 k))
23.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
31.0ms	(/ (pow k m) (+ (+ 1.0 (* 10.0 k)) (* k k)))
71.0ms	(* a (/ (pow k m) (+ (+ 1.0 (* 10.0 k)) (* k k))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ 1.0 (* 10.0 k))
19.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
66.0ms	(/ (pow k m) (+ (+ 1.0 (* 10.0 k)) (* k k)))
128.0ms	(* a (/ (pow k m) (+ (+ 1.0 (* 10.0 k)) (* k k))))

simplify77.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	613	1313
1	2800	1220
2	5001	1214

prune352.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 2.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* a (pow k m)))
0.3b	(cbrt (* a (pow k m)))
0.3b	(cbrt (* a (pow k m)))
2.1b	(/ (* (* (cbrt (* a (pow k m))) (cbrt (* a (pow k m)))) (cbrt (* a (pow k m)))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `times-frac` `pow1/3` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (* a (pow k m)))
5.0ms	(cbrt (* a (pow k m)))
5.0ms	(cbrt (* a (pow k m)))
70.0ms	(/ (* (* (cbrt (* a (pow k m))) (cbrt (* a (pow k m)))) (cbrt (* a (pow k m)))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series687.0ms

Counts

4 → 12

Calls

4 calls:

308.0ms	(cbrt (* a (pow k m)))
119.0ms	(cbrt (* a (pow k m)))
117.0ms	(cbrt (* a (pow k m)))
142.0ms	(/ (* (* (cbrt (* a (pow k m))) (cbrt (* a (pow k m)))) (cbrt (* a (pow k m)))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify58.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	423	837
1	1836	652
2	5002	599

prune204.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 2.0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

Error of 2.2b against oracle of 2.2b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

450.0ms	11973×	body	80	valid
142.0ms	4297×	body	80	nan