Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	64×	body	640	valid
3.0ms	138×	body	80	valid
2.0ms	38×	body	320	valid
1.0ms	16×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	15	5

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
1.3b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
55×	`times-frac`
50×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
25×	`distribute-lft-out--`
10×	`distribute-lft-out`
9×	`associate-/r*`
8×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `flip--`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip-+`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ 1.0 (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
51.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series226.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1.0 (+ x 1.0))
28.0ms	(/ 1.0 (- x 1.0))
173.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	387	679
1	1331	648
2	5001	644

prune188.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
0.7b	(- (- x 1.0) (+ x 1.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

3.0ms	(- (* x x) (* 1.0 1.0))
30.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
26.0ms	(- (- x 1.0) (+ x 1.0))

series100.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* x x) (* 1.0 1.0))
53.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	471	660
1	2732	582
2	5002	579

prune160.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.5b	(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

3.0ms	(- (* x x) (* 1.0 1.0))
7.0ms	(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* x x) (* 1.0 1.0))
56.0ms	(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	270	337
1	1322	286
2	5001	282

prune92.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- 2.0)) (+ x 1.0))
0.1b	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
65×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
11×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
8×	`div-inv` `distribute-lft-out`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`distribute-frac-neg`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 111

Calls

2 calls:

7.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
18.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

series96.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
71.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	571	1119
1	3006	1036
2	5001	1036

prune202.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	19	6
2	22	6
3	22	6

end0.0ms

sample435.0ms

Algorithm

intervals

Results

147.0ms	1838×	body	640	valid
93.0ms	4209×	body	80	valid
79.0ms	1310×	body	320	valid
25.0ms	643×	body	160	valid