Details

sample8.0ms

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	6	2
1	7	2
2	7	2

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ x (- 1.0 x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
11×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

5.0ms

(/ x (- 1.0 x))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(/ x (- 1.0 x))

simplify98.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	168	209
1	566	197
2	2598	195
3	5001	195

prune53.0ms

Filtered

40 candidates to 30 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	4	41

Merged error: 0b

Counts

41 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (/ x (- 1.0 x)))
0.0b	(/ x (- 1.0 x))
3.1b	(log (exp (/ x (- 1.0 x))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
42×	`exp-prod`
32×	`add-cube-cbrt`
22×	`log-pow`
10×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`log-prod` `flip3--` `flip--` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `rem-exp-log`

Counts

3 → 99

Calls

3 calls:

6.0ms	(exp (/ x (- 1.0 x)))
5.0ms	(/ x (- 1.0 x))
7.0ms	(log (exp (/ x (- 1.0 x))))

series129.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(exp (/ x (- 1.0 x)))
37.0ms	(/ x (- 1.0 x))
33.0ms	(log (exp (/ x (- 1.0 x))))

simplify114.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	259	529
1	734	496
2	3043	490
3	5002	490

prune163.0ms

Filtered

108 candidates to 83 candidates (76.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	108	4	112

Merged error: 0b

Counts

112 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (/ x (+ (sqrt 1.0) (sqrt x))) (- (sqrt 1.0) (sqrt x)))
0.1b	(/ x (+ (sqrt 1.0) (sqrt x)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

354×	`times-frac`
348×	`*-un-lft-identity`
300×	`add-sqr-sqrt`
200×	`sqrt-prod`
124×	`add-cube-cbrt`
88×	`difference-of-squares`
68×	`distribute-lft-out`
44×	`distribute-lft-out--`
24×	`associate-/r/` `associate-/l*`
14×	`associate-/r*`
12×	`div-inv`
11×	`flip3-+` `flip-+`
9×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 273

Calls

2 calls:

20.0ms	(/ (/ x (+ (sqrt 1.0) (sqrt x))) (- (sqrt 1.0) (sqrt x)))
7.0ms	(/ x (+ (sqrt 1.0) (sqrt x)))

series862.0ms

Counts

2 → 6

Calls

2 calls:

673.0ms	(/ (/ x (+ (sqrt 1.0) (sqrt x))) (- (sqrt 1.0) (sqrt x)))
189.0ms	(/ x (+ (sqrt 1.0) (sqrt x)))

simplify120.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	869	4741
1	4301	4274
2	5002	4245

prune275.0ms

Filtered

279 candidates to 115 candidates (41.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	279	4	283

Merged error: 0b

Counts

283 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

225×	`add-sqr-sqrt`
200×	`sqrt-prod`
195×	`*-un-lft-identity`
180×	`times-frac`
91×	`add-cube-cbrt`
60×	`associate-r`
52×	`difference-of-squares`
36×	`associate-l`
26×	`distribute-lft-out` `distribute-lft-out--`
19×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/r*`
12×	`associate-/l*`
9×	`unswap-sqr`
8×	`associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv`
3×	`add-log-exp`
2×	`flip3--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 263

Calls

3 calls:

8.0ms	(/ (sqrt x) (+ (sqrt 1.0) (sqrt x)))
8.0ms	(/ (sqrt x) (- (sqrt 1.0) (sqrt x)))
49.0ms	(* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))

series1.4s

Counts

3 → 9

Calls

3 calls:

343.0ms	(/ (sqrt x) (+ (sqrt 1.0) (sqrt x)))
362.0ms	(/ (sqrt x) (- (sqrt 1.0) (sqrt x)))
693.0ms	(* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))

simplify126.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	1005	3653
1	4896	3334
2	5001	3304

prune397.0ms

Filtered

272 candidates to 155 candidates (57.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	272	0	272
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	272	4	276

Merged error: 0b

Counts

276 → 4

regimes29.0ms

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	4	2

end0.0ms

sample201.0ms

Algorithm

intervals

Results

117.0ms

8000×

body

valid