Details

sample15.0ms

Algorithm

intervals

Results

4.0ms	62×	body	640	valid
3.0ms	136×	body	80	valid
2.0ms	38×	body	320	valid
1.0ms	20×	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

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.1b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `flip-+`

Counts

2 → 58

Calls

2 calls:

5.0ms	(/ 1.0 (+ x 1.0))
40.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series84.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ 1.0 (+ x 1.0))
55.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify155.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	266	392
1	898	369
2	4185	367
3	5001	367

prune112.0ms

Filtered

64 candidates to 47 candidates (73.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize6.0ms

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))
2.7b	(- x (+ x 1.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
12×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`add-log-exp`
5×	`pow1` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`flip3--` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

12.0ms	(* (+ x 1.0) x)
14.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

series87.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (+ x 1.0) x)
34.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	345	395
1	2045	325
2	5003	316

prune112.0ms

Filtered

72 candidates to 48 candidates (66.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.1b	(* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
43×	`times-frac`
28×	`add-cube-cbrt`
19×	`associate-r`
18×	`associate-l`
16×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `associate-/r*` `associate-/r/` `cbrt-unprod` `unswap-sqr`
3×	`div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`flip3-+` `flip-+` `add-log-exp`
1×	`frac-times` `frac-2neg` `sub0-neg` `associate-r/` `distribute-frac-neg` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `distribute-rgt-neg-out`

Counts

2 → 95

Calls

2 calls:

5.0ms	(/ 1.0 (+ x 1.0))
32.0ms	(* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))

series66.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ 1.0 (+ x 1.0))
36.0ms	(* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))

simplify58.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	491	665
1	2424	595
2	5002	595

prune179.0ms

Filtered

101 candidates to 72 candidates (71.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0))))
0.4b	(cbrt (/ 1.0 (+ x 1.0)))
0.4b	(cbrt (/ 1.0 (+ x 1.0)))
0.4b	(cbrt (/ 1.0 (+ x 1.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 180

Calls

4 calls:

35.0ms	(* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0))))
4.0ms	(cbrt (/ 1.0 (+ x 1.0)))
4.0ms	(cbrt (/ 1.0 (+ x 1.0)))
3.0ms	(cbrt (/ 1.0 (+ x 1.0)))

series639.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0))))
155.0ms	(cbrt (/ 1.0 (+ x 1.0)))
153.0ms	(cbrt (/ 1.0 (+ x 1.0)))
156.0ms	(cbrt (/ 1.0 (+ x 1.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	479	1982
1	1933	1904
2	5001	1784

prune500.0ms

Filtered

192 candidates to 137 candidates (71.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	14
1	17	14
2	21	14
3	32	14
4	35	14
5	37	14
6	37	14

end0.0ms

sample398.0ms

Algorithm

intervals

Results

128.0ms	1864×	body	640	valid
88.0ms	4267×	body	80	valid
69.0ms	1270×	body	320	valid
25.0ms	599×	body	160	valid