Details

sample16.0ms

Algorithm

intervals

Results

4.0ms	54×	body	640	valid
3.0ms	136×	body	80	valid
3.0ms	44×	body	320	valid
1.0ms	22×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	12	4
2	12	4

prune1.0ms

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: 17.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
4.5b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
90×	`frac-sub`
70×	`associate-/r*`
65×	`add-sqr-sqrt`
60×	`associate-/l*`
53×	`add-cube-cbrt`
28×	`times-frac`
20×	`frac-2neg` `clear-num`
16×	`distribute-lft-out`
8×	`distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `diff-log` `div-exp` `flip--` `flip-+`

Counts

2 → 147

Calls

2 calls:

9.0ms	(/ 1.0 (+ x 1.0))
24.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series89.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ 1.0 (+ x 1.0))
57.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify119.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	952	1500
1	4633	1427
2	5001	1424

prune222.0ms

Filtered

153 candidates to 93 candidates (60.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	151	3	154

Merged error: 0.6b

Counts

154 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
3.9b	(- x (+ x 1.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

204×	`*-un-lft-identity`
195×	`times-frac`
187×	`add-sqr-sqrt`
135×	`associate-r`
110×	`associate-l`
95×	`add-cube-cbrt`
32×	`distribute-lft-out`
31×	`*-commutative` `unswap-sqr`
30×	`distribute-lft-out--`
17×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/l*` `difference-of-squares`
13×	`associate-/r*`
8×	`add-log-exp`
5×	`pow1` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-*l/`
2×	`flip3--` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/` `associate--r+`
1×	`+-commutative` `sub-neg` `frac-2neg` `pow-prod-down` `clear-num` `sum-log` `div-inv`

Counts

3 → 284

Calls

3 calls:

6.0ms	(* (+ x 1.0) x)
22.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
6.0ms	(- x (+ x 1.0))

series89.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (+ x 1.0) x)
40.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1136	2802
1	5001	2650

prune439.0ms

Filtered

293 candidates to 178 candidates (60.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	289	4	293
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	291	5	296

Merged error: 0.0b

Counts

296 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ 1.0 (/ x (- 0 1.0))) (+ x 1.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

867×	`times-frac`
609×	`*-un-lft-identity`
451×	`add-sqr-sqrt`
345×	`add-cube-cbrt`
96×	`associate-/l*`
89×	`associate-/r/`
79×	`distribute-lft-out`
53×	`distribute-lft-out--` `difference-of-squares`
50×	`associate-/r*`
27×	`associate-/l/`
22×	`div-inv`
16×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
7×	`frac-2neg` `clear-num`
6×	`cbrt-undiv` `div-exp`
1×	`pow1` `flip3-+` `flip-+` `add-log-exp`

Counts

1 → 439

Calls

1 calls:

37.0ms

(/ (/ 1.0 (/ x (- 0 1.0))) (+ x 1.0))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(/ (/ 1.0 (/ x (- 0 1.0))) (+ x 1.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

442 → 442

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1759	5242
1	5001	5065

prune800.0ms

Filtered

442 candidates to 282 candidates (63.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	441	1	442
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	441	6	447

Merged error: 0.0b

Counts

447 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 98

Calls

4 calls:

11.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))

series389.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
92.0ms	(cbrt (+ x 1.0))
92.0ms	(cbrt (+ x 1.0))
92.0ms	(cbrt (+ x 1.0))

simplify166.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	321	829
1	1059	773
2	4960	678
3	5002	678

prune265.0ms

Filtered

110 candidates to 75 candidates (68.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	111	5	116

Merged error: 0.0b

Counts

116 → 5

regimes18.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample401.0ms

Algorithm

intervals

Results

141.0ms	1886×	body	640	valid
88.0ms	4248×	body	80	valid
66.0ms	1225×	body	320	valid
24.0ms	644×	body	160	valid