Details

sample10.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 13.9b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

13.9b

(/ x (+ (* x x) 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
15×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
5×	`associate-/r*`
4×	`associate-l`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

10.0ms

(/ x (+ (* x x) 1.0))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(/ x (+ (* x x) 1.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	162	240
1	534	225
2	1789	222
3	5001	220

prune50.0ms

Filtered

40 candidates to 26 candidates (35.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Merged error: 0b

Counts

41 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.9b	(/ x (+ (pow (* x x) 3) (pow 1.0 3)))
11.8b	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
23.2b	(* (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

rewrite467.0ms

Algorithm

rewrite-expression-head

Rules

344×	`*-un-lft-identity`
191×	`associate-l`
131×	`add-sqr-sqrt`
117×	`pow1`
82×	`distribute-lft-out`
75×	`swap-sqr`
61×	`times-frac`
60×	`add-cube-cbrt`
56×	`associate-r`
46×	`distribute-lft-out--`
43×	`unswap-sqr`
40×	`unpow-prod-down` `pow-unpow` `associate-/r*` `sum-cubes`
36×	`pow-prod-up`
32×	`frac-times`
24×	`pow-prod-down`
23×	`add-exp-log` `add-cbrt-cube`
22×	`pow-sqr`
20×	`flip3-+` `flip-+`
18×	`pow-plus` `*-commutative`
16×	`associate-*l/`
13×	`pow2`
12×	`associate-/l*`
10×	`prod-exp` `cbrt-unprod`
9×	`add-log-exp`
6×	`associate-+r+`
4×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/r/`
3×	`+-commutative` `sub-neg`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `sum-log` `div-inv`
1×	`associate-+r-` `diff-log`

Counts

4 → 371

Calls

4 calls:

20.0ms	(* (* x x) (* x x))
18.0ms	(/ x (+ (pow (* x x) 3) (pow 1.0 3)))
183.0ms	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
225.0ms	(* (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

series455.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* x x) (* x x))
234.0ms	(/ x (+ (pow (* x x) 3) (pow 1.0 3)))
44.0ms	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
137.0ms	(* (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

simplify82.0ms

Algorithm

egg-herbie

Counts

383 → 383

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1387	3602
1	5002	3317

prune561.0ms

Filtered

383 candidates to 165 candidates (56.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	383	0	383
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	383	3	386

Merged error: 0b

Counts

386 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (pow x 3)) (/ 1 x))
0.1b	(/ 1.0 (pow x 5))
0.1b	(/ 1.0 (pow x 3))
20.0b	(- (/ 1.0 (pow x 5)) (- (/ 1.0 (pow x 3)) (/ 1 x)))

rewrite671.0ms

Algorithm

rewrite-expression-head

Rules

3454×	`frac-sub`
2563×	`associate-/r*`
1362×	`associate-/l*`
1241×	`add-sqr-sqrt`
1235×	`*-un-lft-identity`
1197×	`add-cube-cbrt`
796×	`unpow-prod-down`
454×	`frac-2neg` `clear-num`
268×	`sqr-pow`
158×	`unpow3`
70×	`times-frac`
28×	`sub-div`
16×	`difference-of-squares`
15×	`flip3--` `flip--`
14×	`add-exp-log`
11×	`add-log-exp`
10×	`distribute-lft-out--`
8×	`add-cbrt-cube`
6×	`div-exp`
4×	`pow1` `diff-log` `div-inv`
3×	`sub-neg`
2×	`cbrt-undiv` `pow-to-exp` `pow-exp` `associate--r+`
1×	`associate--r-`

Counts

4 → 1963

Calls

4 calls:

31.0ms	(- (/ 1.0 (pow x 3)) (/ 1 x))
5.0ms	(/ 1.0 (pow x 5))
5.0ms	(/ 1.0 (pow x 3))
140.0ms	(- (/ 1.0 (pow x 5)) (- (/ 1.0 (pow x 3)) (/ 1 x)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (/ 1.0 (pow x 3)) (/ 1 x))
50.0ms	(/ 1.0 (pow x 5))
43.0ms	(/ 1.0 (pow x 3))
47.0ms	(- (/ 1.0 (pow x 5)) (- (/ 1.0 (pow x 3)) (/ 1 x)))

simplify520.0ms

Algorithm

egg-herbie

Counts

1975 → 1975

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5001	43372

prune2.7s

Filtered

1975 candidates to 805 candidates (59.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	1975	0	1975
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	1975	3	1978

Merged error: 0b

Counts

1978 → 3

regimes46.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.9b

bsearch60.0ms

Steps

Iters	Range		Point
9	0.0004381094517774334	96283.49646244562	1034.1827258963394
8	-137459.4213561049	-401.9464502943543	-94110.9245102794

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	10
1	27	10

end0.0ms

sample239.0ms

Algorithm

intervals

Results

149.0ms

8000×

body

valid