Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	256×	pre	80	true
8.0ms	262×	pre	80	false
5.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	12	3
2	12	3

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: 8.0b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
7.1b	(- (/ x0 (- 1.0 x1)) x0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

5.0ms	(/ x0 (- 1.0 x1))
11.0ms	(- (/ x0 (- 1.0 x1)) x0)

series76.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ x0 (- 1.0 x1))
44.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify93.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	244	328
1	801	315
2	3123	310
3	5001	310

prune82.0ms

Filtered

58 candidates to 44 candidates (75.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Merged error: 6.9b

Counts

59 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
1.0b	(/ x0 (- 1.0 x1))
1.0b	(/ x0 (- 1.0 x1))
6.4b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
34×	`add-cube-cbrt`
15×	`associate-/r*`
13×	`difference-of-squares`
12×	`distribute-lft-out--`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 124

Calls

4 calls:

5.0ms	(/ x0 (- 1.0 x1))
5.0ms	(/ x0 (- 1.0 x1))
5.0ms	(/ x0 (- 1.0 x1))
12.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series175.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ x0 (- 1.0 x1))
35.0ms	(/ x0 (- 1.0 x1))
33.0ms	(/ x0 (- 1.0 x1))
73.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify162.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	288	828
1	1116	773
2	4811	759
3	5001	759

prune245.0ms

Filtered

136 candidates to 103 candidates (75.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	136	2	138

Merged error: 6.2b

Counts

138 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (/ x0 (- 1.0 x1)) x0)
1.0b	(/ x0 (- 1.0 x1))
1.0b	(/ x0 (- 1.0 x1))
6.4b	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ (/ x0 (- 1.0 x1)) x0)
6.0ms	(/ x0 (- 1.0 x1))
5.0ms	(/ x0 (- 1.0 x1))
13.0ms	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

series175.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (/ x0 (- 1.0 x1)) x0)
33.0ms	(/ x0 (- 1.0 x1))
35.0ms	(/ x0 (- 1.0 x1))
71.0ms	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

simplify44.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	358	705
1	1431	666
2	5001	645

prune193.0ms

Filtered

110 candidates to 83 candidates (75.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	111	1	112

Merged error: 5.7b

Counts

112 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
1.0b	(/ x0 (- 1.0 x1))
1.3b	(pow (/ x0 (- 1.0 x1)) 3)
5.7b	(- (pow (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) 3) (pow (* x0 x0) 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
60×	`times-frac`
43×	`add-cube-cbrt`
23×	`unpow-prod-down` `cube-prod`
22×	`difference-of-squares`
15×	`distribute-lft-out--`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
8×	`associate-/r/`
7×	`sqr-pow`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `flip3--` `flip--`
4×	`div-inv`
3×	`cbrt-undiv` `pow-unpow` `div-exp`
2×	`frac-2neg` `pow-exp` `clear-num` `rem-cube-cbrt`
1×	`difference-cubes` `cube-div` `cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `diff-log` `unpow3`

Counts

4 → 158

Calls

4 calls:

5.0ms	(/ x0 (- 1.0 x1))
9.0ms	(/ x0 (- 1.0 x1))
8.0ms	(pow (/ x0 (- 1.0 x1)) 3)
9.0ms	(- (pow (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) 3) (pow (* x0 x0) 3))

series241.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ x0 (- 1.0 x1))
34.0ms	(/ x0 (- 1.0 x1))
60.0ms	(pow (/ x0 (- 1.0 x1)) 3)
111.0ms	(- (pow (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) 3) (pow (* x0 x0) 3))

simplify106.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	666	1282
1	3242	1191
2	5001	1177

prune559.0ms

Filtered

170 candidates to 106 candidates (62.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	168	2	170
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	169	2	171

Merged error: 5.0b

Counts

171 → 2

regimes54.0ms

Accuracy

0% (0.4b remaining)

Error of 5.7b against oracle of 5.3b and baseline of 5.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	50
1	46	50

end0.0ms

sample890.0ms

Algorithm

intervals

Results

224.0ms	7983×	pre	80	false
224.0ms	8000×	pre	80	true
175.0ms	8000×	body	80	valid