Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	32	12
1	172	11
2	974	9
3	5001	8

prune7.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

18.0b

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

rewrite128.0ms

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` `expm1-log1p-u` `flip3--` `frac-2neg` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 681

Calls

1 calls:

66.0ms

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

series93.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

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

simplify147.0ms

Algorithm

egg-herbie

Counts

684 → 684

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	2410	9101
1	5001	8877

prune748.0ms

Filtered

684 candidates to 232 candidates (66.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	682	2	684
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	683	2	685

Merged error: 0b

Counts

685 → 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)))

rewrite419.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+`
1×	`pow-prod-down`

Counts

3 → 1474

Calls

3 calls:

12.0ms	(/ i (- (* 2.0 i) (sqrt 1.0)))
244.0ms	(* (/ 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)))

series411.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(/ i (- (* 2.0 i) (sqrt 1.0)))
212.0ms	(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))
103.0ms	(/ i (+ (* 2.0 i) (sqrt 1.0)))

simplify246.0ms

Algorithm

egg-herbie

Counts

1483 → 1483

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5001	21733

prune1.8s

Filtered

1483 candidates to 635 candidates (57.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	1483	0	1483
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	1483	2	1485

Merged error: 0b

Counts

1485 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))
18.1b	(* (* i i) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

678×	`add-sqr-sqrt`
300×	`times-frac`
275×	`unswap-sqr`
273×	`associate-r`
225×	`*-un-lft-identity`
186×	`associate-l`
146×	`add-cube-cbrt`
97×	`add-exp-log`
80×	`associate-/r*`
74×	`swap-sqr`
72×	`difference-of-squares`
57×	`prod-exp` `*-commutative`
46×	`associate-*r/`
43×	`add-cbrt-cube`
24×	`distribute-lft-out--`
21×	`cbrt-unprod`
18×	`div-exp`
13×	`pow1`
9×	`cbrt-undiv` `rec-exp` `1-exp`
7×	`associate-/l*`
6×	`pow-prod-down`
4×	`associate-*l/` `associate-/r/`
3×	`pow-flip` `clear-num` `un-div-inv`
2×	`expm1-log1p-u` `flip3--` `frac-2neg` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`inv-pow`

Counts

2 → 488

Calls

2 calls:

46.0ms	(/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))
94.0ms	(* (* i i) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))

series157.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))
90.0ms	(* (* i i) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))

simplify90.0ms

Algorithm

egg-herbie

Counts

494 → 494

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1561	5455
1	5001	5029

prune537.0ms

Filtered

494 candidates to 227 candidates (54.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	494	0	494
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	494	2	496

Merged error: 0b

Counts

496 → 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

sample397.0ms

Algorithm

intervals

Results

233.0ms	8000×	body	80	valid
66.0ms	8000×	pre	80	true