Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

8.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify85.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	212	315
1	707	297
2	2968	293
3	5001	292

prune61.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	3	51

Merged error: 0b

Counts

51 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (exp (/ (+ x 1.0) (- 1.0 x))))
0.0b	(/ (+ x 1.0) (- 1.0 x))
0.0b	(exp (/ (+ x 1.0) (- 1.0 x)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`add-exp-log` `associate-/r/`
5×	`associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `log-prod` `flip3--` `flip--` `log1p-expm1-u` `div-inv`
2×	`rem-log-exp` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 124

Calls

3 calls:

10.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
11.0ms	(/ (+ x 1.0) (- 1.0 x))
10.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
33.0ms	(/ (+ x 1.0) (- 1.0 x))
92.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))

simplify103.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	322	752
1	924	705
2	3627	694
3	5001	685

prune196.0ms

Filtered

133 candidates to 92 candidates (69.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	134	2	136

Merged error: 0b

Counts

136 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

8.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify84.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	212	315
1	707	297
2	2968	293
3	5001	292

prune62.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	50	2	52

Merged error: 0b

Counts

52 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- x 1.0))
14.7b	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

1195×	`add-sqr-sqrt`
528×	`times-frac`
495×	`difference-of-squares`
479×	`*-un-lft-identity`
243×	`associate-l`
205×	`*-commutative` `unswap-sqr`
204×	`swap-sqr`
175×	`associate-r`
155×	`distribute-lft-out--`
135×	`add-cube-cbrt`
33×	`associate-/l*`
18×	`prod-diff`
16×	`associate-/r*`
13×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
4×	`pow1` `associate-r/` `associate-l/`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `div-sub` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 658

Calls

2 calls:

10.0ms	(* (- 1.0 x) (- x 1.0))
57.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- 1.0 x) (- x 1.0))
69.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

simplify113.0ms

Algorithm

egg-herbie

Counts

664 → 664

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1375	7003
1	5001	6179

prune347.0ms

Filtered

664 candidates to 160 candidates (24.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	664	0	664
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	664	2	666

Merged error: 0b

Counts

666 → 2

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	3
1	13	3
2	13	3

end0.0ms

sample222.0ms

Algorithm

intervals

Results

136.0ms

8000×

body

valid