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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

10.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify82.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	203	309
1	678	292
2	2792	286
3	5001	286

prune58.0ms

Filtered

48 candidates to 32 candidates (66.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Merged error: 0b

Counts

49 → 3

localize10.0ms

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)))

rewrite32.0ms

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×	`log-prod` `flip3--` `flip--` `div-inv`
2×	`rem-log-exp` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 118

Calls

3 calls:

10.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
7.0ms	(/ (+ x 1.0) (- 1.0 x))
10.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
40.0ms	(/ (+ x 1.0) (- 1.0 x))
98.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))

simplify101.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	307	731
1	881	688
2	3385	670
3	5001	667

prune178.0ms

Filtered

127 candidates to 86 candidates (67.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	128	2	130

Merged error: 0b

Counts

130 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

9.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify81.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	203	309
1	678	292
2	2792	286
3	5001	286

prune53.0ms

Filtered

48 candidates to 31 candidates (64.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Merged error: 0b

Counts

50 → 2

localize10.0ms

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)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

1183×	`add-sqr-sqrt`
528×	`times-frac`
495×	`difference-of-squares`
467×	`*-un-lft-identity`
243×	`associate-l`
205×	`*-commutative` `unswap-sqr`
204×	`swap-sqr`
175×	`associate-r`
155×	`distribute-lft-out--`
123×	`add-cube-cbrt`
33×	`associate-/l*`
16×	`associate-/r*`
13×	`flip3--` `flip--`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
4×	`pow1` `associate-r/` `associate-l/`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `div-sub` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 636

Calls

2 calls:

8.0ms	(* (- 1.0 x) (- x 1.0))
39.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 x) (- x 1.0))
72.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

simplify108.0ms

Algorithm

egg-herbie

Counts

642 → 642

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1283	6714
1	5002	6000

prune313.0ms

Filtered

642 candidates to 154 candidates (24.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	642	0	642
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	642	2	644

Merged error: 0b

Counts

644 → 2

regimes20.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample223.0ms

Algorithm

intervals

Results

134.0ms

8000×

body

valid