Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

293×

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

Counts

1 → 27

Calls

1 calls:

3.0ms

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

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify91.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	86	226
1	235	208
2	598	208
3	1534	208
4	4378	208
5	5002	208

prune50.0ms

Filtered

30 candidates to 22 candidates (73.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Merged error: 0.0b

Counts

31 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))
0.1b	(pow (/ (fabs (- x y)) (fabs y)) 3)
13.1b	(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
41×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
8×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`pow1`
3×	`pow-unpow` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube`

Counts

3 → 115

Calls

3 calls:

3.0ms	(/ (fabs (- x y)) (fabs y))
5.0ms	(pow (/ (fabs (- x y)) (fabs y)) 3)
5.0ms	(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

series42.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (fabs (- x y)) (fabs y))
27.0ms	(pow (/ (fabs (- x y)) (fabs y)) 3)
7.0ms	(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	317	1061
1	1463	978
2	5002	970

prune172.0ms

Filtered

124 candidates to 61 candidates (49.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	123	3	126

Merged error: 0b

Counts

126 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (fabs (- x y)) (sqrt (fabs y))) 3)
0.6b	(pow (/ 1 (sqrt (fabs y))) 3)
13.1b	(cbrt (* (pow (/ 1 (sqrt (fabs y))) 3) (pow (/ (fabs (- x y)) (sqrt (fabs y))) 3)))
17.2b	(* (pow (/ 1 (sqrt (fabs y))) 3) (pow (/ (fabs (- x y)) (sqrt (fabs y))) 3))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

364×	`add-sqr-sqrt`
256×	`times-frac`
164×	`unpow-prod-down` `cube-prod`
144×	`*-un-lft-identity`
128×	`sqrt-prod`
112×	`add-cube-cbrt`
96×	`unswap-sqr`
60×	`add-exp-log`
50×	`associate-r` `associate-l`
34×	`pow-exp`
24×	`prod-exp` `sqr-pow`
17×	`div-exp`
12×	`pow-to-exp` `add-cbrt-cube`
10×	`cube-div`
8×	`pow1` `div-inv`
6×	`pow-unpow` `pow-pow`
5×	`rec-exp` `1-exp`
4×	`cube-mult` `unpow3` `add-log-exp` `rem-cube-cbrt`
3×	`cbrt-div` `pow-flip`
2×	`cbrt-undiv` `frac-times` `associate-r/` `pow-prod-down` `associate-l/`
1×	`cbrt-prod` `sqrt-pow1` `pow1/2` `pow1/3` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `inv-pow`

Counts

4 → 380

Calls

4 calls:

6.0ms	(pow (/ (fabs (- x y)) (sqrt (fabs y))) 3)
7.0ms	(pow (/ 1 (sqrt (fabs y))) 3)
14.0ms	(cbrt (* (pow (/ 1 (sqrt (fabs y))) 3) (pow (/ (fabs (- x y)) (sqrt (fabs y))) 3)))
52.0ms	(* (pow (/ 1 (sqrt (fabs y))) 3) (pow (/ (fabs (- x y)) (sqrt (fabs y))) 3))

series127.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(pow (/ (fabs (- x y)) (sqrt (fabs y))) 3)
43.0ms	(pow (/ 1 (sqrt (fabs y))) 3)
8.0ms	(cbrt (* (pow (/ 1 (sqrt (fabs y))) 3) (pow (/ (fabs (- x y)) (sqrt (fabs y))) 3)))
36.0ms	(* (pow (/ 1 (sqrt (fabs y))) 3) (pow (/ (fabs (- x y)) (sqrt (fabs y))) 3))

simplify74.0ms

Algorithm

egg-herbie

Counts

392 → 392

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	838	5917
1	5002	5266

prune480.0ms

Filtered

392 candidates to 127 candidates (32.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	392	0	392
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	392	3	395

Merged error: 0b

Counts

395 → 3

regimes54.0ms

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

sample305.0ms

Algorithm

intervals

Results

164.0ms

9079×

body

valid