Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	31	12
1	168	11
2	965	9
3	5001	8

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 18.6b

Counts

2 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

18.0b

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

1040×	`add-sqr-sqrt`
600×	`times-frac`
459×	`associate-l`
414×	`*-un-lft-identity`
411×	`associate-r`
318×	`add-cube-cbrt`
313×	`unswap-sqr`
219×	`swap-sqr`
144×	`difference-of-squares`
105×	`*-commutative`
48×	`distribute-lft-out--`
40×	`associate-/r*`
22×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/l*`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
2×	`associate-*l/` `associate-/r/`
1×	`pow1` `flip3--` `frac-2neg` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 679

Calls

1 calls:

55.0ms

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify141.0ms

Algorithm

egg-herbie

Counts

682 → 682

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2393	9135
1	5001	8911

prune530.0ms

Filtered

682 candidates to 230 candidates (66.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	680	2	682
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	681	2	683

Merged error: 0b

Counts

683 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ i (- (* 2.0 i) (sqrt 1.0)))
0.0b	(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))
0.0b	(/ i (+ (* 2.0 i) (sqrt 1.0)))

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

1916×	`add-sqr-sqrt`
1457×	`*-un-lft-identity`
1322×	`times-frac`
771×	`add-cube-cbrt`
726×	`frac-times`
641×	`associate-/l*`
637×	`associate-/r*`
634×	`associate-r`
388×	`difference-of-squares`
327×	`associate-l`
265×	`unswap-sqr`
194×	`sqrt-prod` `distribute-lft-out--`
182×	`associate-/l/`
148×	`distribute-lft-out`
139×	`swap-sqr`
95×	`clear-num`
93×	`frac-2neg`
66×	`associate-*r/`
60×	`associate-/r/`
50×	`*-commutative`
48×	`add-exp-log` `add-cbrt-cube`
31×	`div-inv`
28×	`flip3--` `flip--`
19×	`cbrt-undiv` `div-exp`
14×	`prod-exp` `cbrt-unprod`
11×	`associate-*l/`
5×	`pow1`
4×	`un-div-inv`
3×	`add-log-exp`
2×	`flip3-+` `flip-+`
1×	`pow-prod-down`

Counts

3 → 1468

Calls

3 calls:

11.0ms	(/ i (- (* 2.0 i) (sqrt 1.0)))
249.0ms	(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))
11.0ms	(/ i (+ (* 2.0 i) (sqrt 1.0)))

series399.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(/ i (- (* 2.0 i) (sqrt 1.0)))
209.0ms	(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))
93.0ms	(/ i (+ (* 2.0 i) (sqrt 1.0)))

simplify236.0ms

Algorithm

egg-herbie

Counts

1477 → 1477

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5001	22625

prune1.9s

Filtered

1477 candidates to 623 candidates (57.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	1477	0	1477
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	1477	2	1479

Merged error: 0b

Counts

1479 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0))
18.1b	(* (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* i i) (* 2.0 2.0)))

rewrite364.0ms

Algorithm

rewrite-expression-head

Rules

2033×	`add-sqr-sqrt`
855×	`associate-/r*`
754×	`*-un-lft-identity`
693×	`frac-times`
592×	`unswap-sqr`
480×	`add-cube-cbrt`
451×	`associate-r`
442×	`times-frac`
437×	`associate-/l*`
397×	`associate-l`
369×	`difference-of-squares`
334×	`swap-sqr`
146×	`*-commutative`
123×	`distribute-lft-out--`
83×	`add-exp-log`
58×	`clear-num`
57×	`frac-2neg`
45×	`add-cbrt-cube`
36×	`prod-exp`
33×	`associate-*r/`
28×	`div-exp`
21×	`associate-*l/`
18×	`cbrt-unprod`
14×	`cbrt-undiv`
6×	`rec-exp` `1-exp`
5×	`pow1`
4×	`associate-/r/`
3×	`un-div-inv` `div-inv`
2×	`flip3--` `flip--` `add-log-exp`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

2 → 1228

Calls

2 calls:

27.0ms	(/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0))
222.0ms	(* (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* i i) (* 2.0 2.0)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0))
91.0ms	(* (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* i i) (* 2.0 2.0)))

simplify253.0ms

Algorithm

egg-herbie

Counts

1234 → 1234

Iterations

Useful iterations: 1 (80.0ms)

Iter	Nodes	Cost
0	4363	15041
1	5001	14344

prune825.0ms

Filtered

1234 candidates to 355 candidates (71.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	1234	0	1234
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	1234	2	1236

Merged error: 0b

Counts

1236 → 2

regimes11.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	11
1	15	11

end0.0ms

sample430.0ms

Algorithm

intervals

Results

248.0ms	8000×	body	80	valid
76.0ms	8000×	pre	80	true