Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

295×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	9	4
2	9	4

prune2.0ms

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	(/ (fabs (- x y)) (fabs y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

3.0ms

(/ (fabs (- x y)) (fabs y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(/ (fabs (- x y)) (fabs y))

simplify84.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	236
1	237	218
2	600	218
3	1536	218
4	4404	218
5	5002	218

prune60.0ms

Filtered

32 candidates to 24 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	4	33

Merged error: 0b

Counts

33 → 4

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (fabs (- x y)) (/ 1 (fabs y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

7.0ms

(* (fabs (- x y)) (/ 1 (fabs y)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (fabs (- x y)) (/ 1 (fabs y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	181	289
1	730	247
2	2578	229
3	4915	229
4	5001	229

prune65.0ms

Filtered

41 candidates to 26 candidates (63.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	41	4	45

Merged error: 0b

Counts

45 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
0.4b	(/ (fabs (- x y)) (sqrt (fabs y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
154×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
144×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 218

Calls

2 calls:

10.0ms	(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
4.0ms	(/ (fabs (- x y)) (sqrt (fabs y)))

series24.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
17.0ms	(/ (fabs (- x y)) (sqrt (fabs y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	539	3471
1	1884	3126
2	5001	3064

prune267.0ms

Filtered

224 candidates to 102 candidates (45.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	224	4	228

Merged error: 0b

Counts

228 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))
2.5b	(exp (log (/ (fabs (- x y)) (fabs y))))
2.7b	(log (/ (fabs (- x y)) (fabs y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
13×	`exp-sum`
8×	`add-exp-log`
5×	`pow1` `add-cbrt-cube`
4×	`exp-prod`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`log-div` `div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `frac-2neg` `exp-diff` `clear-num` `rem-exp-log`

Counts

3 → 83

Calls

3 calls:

3.0ms	(/ (fabs (- x y)) (fabs y))
4.0ms	(exp (log (/ (fabs (- x y)) (fabs y))))
3.0ms	(log (/ (fabs (- x y)) (fabs y)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (fabs (- x y)) (fabs y))
7.0ms	(exp (log (/ (fabs (- x y)) (fabs y))))
28.0ms	(log (/ (fabs (- x y)) (fabs y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 4 (80.0ms)

Iter	Nodes	Cost
0	187	731
1	504	686
2	1433	666
3	4211	648
4	5001	647

prune179.0ms

Filtered

92 candidates to 65 candidates (70.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	92	4	96

Merged error: 0b

Counts

96 → 4

regimes59.0ms

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	4

end0.0ms

sample365.0ms

Algorithm

intervals

Results

216.0ms

9101×

body

valid