Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

294×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	19	3
2	43	3
3	55	3
4	59	3
5	67	3
6	87	3
7	123	3
8	198	3
9	381	3
10	454	3
11	629	3
12	889	3
13	1260	3
14	1682	3
15	2348	3
16	5001	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) y)
0.0b	(- (* (+ x 1.0) y) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
6×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `distribute-lft-out--`
2×	`associate-*l/` `distribute-lft-out` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+`

Counts

2 → 38

Calls

2 calls:

5.0ms	(* (+ x 1.0) y)
10.0ms	(- (* (+ x 1.0) y) x)

series52.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (+ x 1.0) y)
24.0ms	(- (* (+ x 1.0) y) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	154	190
1	614	178
2	3046	176
3	5001	176

prune53.0ms

Filtered

44 candidates to 30 candidates (68.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Merged error: 0b

Counts

45 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
0.1b	(* (sqrt (+ x 1.0)) y)
0.1b	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
28×	`sqrt-prod`
26×	`*-un-lft-identity`
24×	`unswap-sqr`
23×	`associate-r`
22×	`associate-l`
16×	`sqrt-div`
14×	`add-cube-cbrt`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
8×	`flip3-+` `flip-+`
7×	`difference-of-squares`
6×	`add-log-exp`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out`
3×	`*-commutative`
2×	`associate-*r/` `distribute-lft-out--`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `flip--`

Counts

4 → 114

Calls

4 calls:

3.0ms	(sqrt (+ x 1.0))
24.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
6.0ms	(* (sqrt (+ x 1.0)) y)
18.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series200.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sqrt (+ x 1.0))
32.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
95.0ms	(* (sqrt (+ x 1.0)) y)
33.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify45.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	399	964
1	1366	804
2	5001	774

prune164.0ms

Filtered

126 candidates to 75 candidates (59.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	126	3	129

Merged error: 0b

Counts

129 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
5.0b	(* (- (* x x) (* 1.0 1.0)) y)
7.4b	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

525×	`add-sqr-sqrt`
259×	`associate-l`
238×	`*-un-lft-identity`
221×	`difference-of-squares`
212×	`times-frac`
84×	`swap-sqr`
79×	`distribute-lft-out--`
78×	`unswap-sqr`
77×	`*-commutative`
66×	`add-cube-cbrt`
42×	`associate-/l*`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-*l/` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `div-inv`

Counts

3 → 341

Calls

3 calls:

88.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
20.0ms	(* (- (* x x) (* 1.0 1.0)) y)
35.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

series157.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
42.0ms	(* (- (* x x) (* 1.0 1.0)) y)
68.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

simplify112.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	790	3109
1	3635	2773
2	5001	2736

prune285.0ms

Filtered

350 candidates to 134 candidates (38.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	350	0	350
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	350	3	353

Merged error: 0b

Counts

353 → 3

regimes42.0ms

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	8	3
1	8	3

end0.0ms

sample295.0ms

Algorithm

intervals

Results

157.0ms	9100×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid