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` `expm1-log1p-u` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

5.0ms

(/ x (- 1.0 x))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(/ x (- 1.0 x))

simplify98.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	175	214
1	591	201
2	2753	200
3	5001	200

prune56.0ms

Filtered

42 candidates to 32 candidates (76.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0b

Counts

43 → 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))))

rewrite23.0ms

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×	`expm1-log1p-u` `log-prod` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `rem-exp-log`

Counts

3 → 105

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:

58.0ms	(exp (/ x (- 1.0 x)))
36.0ms	(/ x (- 1.0 x))
34.0ms	(log (exp (/ x (- 1.0 x))))

simplify125.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	273	545
1	775	510
2	3243	506
3	5002	506

prune174.0ms

Filtered

114 candidates to 89 candidates (78.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	114	4	118

Merged error: 0b

Counts

118 → 4

localize9.0ms

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)))

rewrite46.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 277

Calls

2 calls:

18.0ms	(/ (/ x (+ (sqrt 1.0) (sqrt x))) (- (sqrt 1.0) (sqrt x)))
7.0ms	(/ x (+ (sqrt 1.0) (sqrt x)))

series859.0ms

Counts

2 → 6

Calls

2 calls:

672.0ms	(/ (/ x (+ (sqrt 1.0) (sqrt x))) (- (sqrt 1.0) (sqrt x)))
187.0ms	(/ x (+ (sqrt 1.0) (sqrt x)))

simplify121.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	889	4772
1	4360	4244
2	5002	4244

prune288.0ms

Filtered

283 candidates to 119 candidates (42.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	283	4	287

Merged error: 0b

Counts

287 → 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))))

rewrite91.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 269

Calls

3 calls:

8.0ms	(/ (sqrt x) (+ (sqrt 1.0) (sqrt x)))
9.0ms	(/ (sqrt x) (- (sqrt 1.0) (sqrt x)))
56.0ms	(* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))

series1.4s

Counts

3 → 9

Calls

3 calls:

340.0ms	(/ (sqrt x) (+ (sqrt 1.0) (sqrt x)))
343.0ms	(/ (sqrt x) (- (sqrt 1.0) (sqrt x)))
705.0ms	(* (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))))

simplify139.0ms

Algorithm

egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1042	3704
1	4999	3418
2	5001	3418

prune441.0ms

Filtered

278 candidates to 161 candidates (57.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	278	4	282

Merged error: 0b

Counts

282 → 4

regimes30.0ms

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

sample192.0ms

Algorithm

intervals

Results

111.0ms

8000×

body

valid