Details

sample19.0ms

Algorithm

intervals

Results

5.0ms	54×	body	640	valid
3.0ms	136×	body	80	valid
3.0ms	44×	body	320	valid
1.0ms	22×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 17.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

746×	`*-un-lft-identity`
589×	`times-frac`
558×	`add-sqr-sqrt`
410×	`add-cube-cbrt`
378×	`prod-diff`
110×	`frac-sub`
103×	`associate-/r*`
89×	`distribute-lft-out--`
87×	`distribute-lft-out`
86×	`associate-/r/`
72×	`difference-of-squares`
69×	`associate-/l*`
44×	`div-inv`
24×	`flip-+`
23×	`frac-2neg` `flip3-+` `clear-num`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
7×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp`
1×	`sub-neg` `diff-log`

Counts

3 → 613

Calls

3 calls:

6.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (+ x 1.0))
49.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series226.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ 1.0 (- x 1.0))
25.0ms	(/ 1.0 (+ x 1.0))
171.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify150.0ms

Algorithm

egg-herbie

Counts

622 → 622

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	2038	14974
1	5001	12366

prune1.1s

Filtered

622 candidates to 321 candidates (51.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	619	3	622
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	620	3	623

Merged error: 0.6b

Counts

623 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

1186×	`add-sqr-sqrt`
794×	`*-un-lft-identity`
561×	`times-frac`
490×	`difference-of-squares`
305×	`distribute-lft-out--`
272×	`associate-r`
216×	`swap-sqr`
214×	`*-commutative` `unswap-sqr`
174×	`associate-l`
138×	`add-cube-cbrt`
75×	`distribute-lft-out`
33×	`associate-/r*`
29×	`prod-diff`
17×	`associate-/l*`
14×	`add-log-exp`
11×	`associate--l+`
8×	`frac-sub`
7×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
6×	`diff-log` `associate-*r/` `associate-/l/`
5×	`fma-neg`
4×	`flip3-+` `flip-+`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `sum-log` `associate-/r/` `log1p-expm1-u` `associate--r+`
1×	`+-commutative` `associate--l-` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv`

Counts

2 → 700

Calls

2 calls:

53.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
12.0ms	(- (- x 1.0) (+ x 1.0))

series66.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify116.0ms

Algorithm

egg-herbie

Counts

706 → 706

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1354	8289
1	5002	7952

prune439.0ms

Filtered

706 candidates to 156 candidates (22.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	703	3	706
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	706	3	709

Merged error: 0.6b

Counts

709 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

1259×	`add-sqr-sqrt`
627×	`times-frac`
500×	`difference-of-squares`
431×	`*-un-lft-identity`
340×	`associate-r`
240×	`swap-sqr`
234×	`*-commutative` `unswap-sqr`
191×	`add-cube-cbrt`
182×	`associate-l`
102×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
100×	`distribute-lft-out--`
34×	`neg-mul-1`
33×	`associate-/r*`
19×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `distribute-frac-neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 698

Calls

1 calls:

41.0ms

(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

simplify102.0ms

Algorithm

egg-herbie

Counts

701 → 701

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1321	6621
1	5001	6374

prune403.0ms

Filtered

701 candidates to 148 candidates (21.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	695	6	701
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	697	7	704

Merged error: 0.0b

Counts

704 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

2252×	`add-sqr-sqrt`
2224×	`times-frac`
1490×	`*-un-lft-identity`
708×	`add-cube-cbrt`
678×	`difference-of-squares`
594×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
565×	`sqrt-prod`
282×	`associate-r` `associate-l`
278×	`distribute-lft-out`
207×	`*-commutative` `unswap-sqr`
136×	`associate-/l*`
113×	`swap-sqr` `distribute-lft-out--`
48×	`associate-/r/`
24×	`div-inv`
23×	`flip3-+` `flip-+`
19×	`associate-/l/` `distribute-neg-frac`
18×	`associate-/r*`
11×	`neg-mul-1`
9×	`add-exp-log` `add-cbrt-cube`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `flip3--` `div-sub` `distribute-frac-neg` `prod-exp` `flip--` `cbrt-unprod`

Counts

2 → 1361

Calls

2 calls:

10.0ms	(/ (* 1.0 2.0) (+ (fabs 1.0) x))
58.0ms	(/ (- (/ (* 1.0 2.0) (+ (fabs 1.0) x))) (- x (sqrt (* 1.0 1.0))))

series245.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ (* 1.0 2.0) (+ (fabs 1.0) x))
182.0ms	(/ (- (/ (* 1.0 2.0) (+ (fabs 1.0) x))) (- x (sqrt (* 1.0 1.0))))

simplify247.0ms

Algorithm

egg-herbie

Counts

1367 → 1367

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	3131	24194
1	5002	23896

prune1.9s

Filtered

1367 candidates to 541 candidates (39.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1364	3	1367
Fresh	5	0	5
Picked	0	1	1
Done	0	1	1
Total	1369	5	1374

Merged error: 0b

Counts

1374 → 5

regimes23.0ms

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	18	9
1	24	9
2	24	9

end0.0ms

sample457.0ms

Algorithm

intervals

Results

156.0ms	1892×	body	640	valid
101.0ms	4247×	body	80	valid
78.0ms	1215×	body	320	valid
27.0ms	646×	body	160	valid