Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

332×

body

valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(+ (* (- 1.0 x) y) (* x z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- 1.0 x) y)
6.0ms	(+ (* (- 1.0 x) y) (* x z))

series64.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- 1.0 x) y)
35.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify100.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	184	181
1	787	167
2	4082	166
3	5001	166

prune63.0ms

Filtered

39 candidates to 29 candidates (74.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

13.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))

series365.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
88.0ms	(cbrt (- 1.0 x))
87.0ms	(cbrt (- 1.0 x))
88.0ms	(cbrt (- 1.0 x))

simplify151.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	316	847
1	1003	807
2	4432	750
3	5001	746

prune305.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0.0b

Counts

116 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
0.1b	(* (sqrt (- 1.0 x)) y)
0.1b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-l*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

3.0ms	(sqrt (- 1.0 x))
12.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
7.0ms	(* (sqrt (- 1.0 x)) y)
14.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series186.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (- 1.0 x))
38.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
87.0ms	(* (sqrt (- 1.0 x)) y)
31.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	408	651
1	1430	563
2	5002	549

prune176.0ms

Filtered

97 candidates to 66 candidates (68.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Merged error: 0.0b

Counts

100 → 3

regimes64.0ms

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	11	4
1	11	4

end0.0ms

sample506.0ms

Algorithm

intervals

Results

295.0ms

10186×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Details

sample20.0ms

simplify29.0ms

prune2.0ms

localize6.0ms

rewrite13.0ms

series64.0ms

simplify100.0ms

prune63.0ms

localize10.0ms

rewrite25.0ms

series365.0ms

simplify151.0ms

prune305.0ms

localize9.0ms

rewrite38.0ms

series186.0ms

simplify46.0ms

prune176.0ms

regimes64.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample506.0ms

Profiling

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4