Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

312×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	4
1	18	4
2	32	4
3	47	4
4	57	4
5	75	4
6	109	4
7	178	4
8	397	4
9	1369	4
10	5002	4

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 10.6b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))
10.0b	(/ (+ x (* y (- z x))) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `times-frac`
10×	`distribute-lft-out`
8×	`associate-l`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `associate-/l*` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in`
3×	`associate-/r*`
2×	`flip3-+` `associate-*r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

11.0ms	(+ x (* y (- z x)))
6.0ms	(* y (- z x))
12.0ms	(/ (+ x (* y (- z x))) z)

series126.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ x (* y (- z x)))
42.0ms	(* y (- z x))
51.0ms	(/ (+ x (* y (- z x))) z)

simplify149.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	255	474
1	1029	442
2	4698	442
3	5002	442

prune117.0ms

Filtered

89 candidates to 54 candidates (39.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	6	90

Merged error: 3.0b

Counts

90 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x z) y)
0.0b	(- (+ (/ x z) y) (/ (* x y) z))
5.8b	(/ (* x y) z)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
38×	`times-frac`
36×	`add-cube-cbrt` `frac-sub` `associate-/l*`
19×	`flip3-+` `flip-+`
18×	`associate-r` `associate-l`
10×	`add-log-exp`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`*-commutative`
3×	`pow1` `frac-2neg` `clear-num` `difference-of-squares`
2×	`cbrt-undiv` `+-commutative` `diff-log` `div-exp` `associate--l+` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `prod-exp` `flip--` `cbrt-unprod` `div-inv`

Counts

3 → 133

Calls

3 calls:

7.0ms	(+ (/ x z) y)
26.0ms	(- (+ (/ x z) y) (/ (* x y) z))
8.0ms	(/ (* x y) z)

series79.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (/ x z) y)
36.0ms	(- (+ (/ x z) y) (/ (* x y) z))
22.0ms	(/ (* x y) z)

simplify126.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	727	1420
1	3915	1388
2	5001	1388

prune241.0ms

Filtered

142 candidates to 106 candidates (25.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	139	3	142
Fresh	4	0	4
Picked	1	0	1
Done	0	1	1
Total	144	4	148

Merged error: 0b

Counts

148 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x z) y)
0.0b	(- (+ (/ x z) y) (/ y (/ z x)))
4.6b	(/ y (/ z x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
72×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
63×	`add-cube-cbrt`
42×	`associate-/r*`
38×	`frac-sub`
20×	`flip3-+` `flip-+`
12×	`associate-/l*`
10×	`add-log-exp`
9×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
4×	`frac-2neg` `clear-num`
3×	`pow1` `cbrt-undiv` `div-exp` `difference-of-squares`
2×	`+-commutative` `diff-log` `associate--l+` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `flip--`

Counts

3 → 148

Calls

3 calls:

7.0ms	(+ (/ x z) y)
31.0ms	(- (+ (/ x z) y) (/ y (/ z x)))
7.0ms	(/ y (/ z x))

series76.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (/ x z) y)
32.0ms	(- (+ (/ x z) y) (/ y (/ z x)))
21.0ms	(/ y (/ z x))

simplify133.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	873	1664
1	4346	1626
2	5002	1626

prune294.0ms

Filtered

157 candidates to 126 candidates (19.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	157	4	161

Merged error: 0b

Counts

161 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series749.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt z)
185.0ms	(cbrt x)
186.0ms	(cbrt x)
183.0ms	(cbrt x)

simplify66.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	69	156
1	145	144
2	346	136
3	1269	136
4	5001	136

prune149.0ms

Filtered

56 candidates to 48 candidates (14.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	56	4	60

Merged error: 0b

Counts

60 → 4

regimes74.0ms

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	9	5
1	9	5

end0.0ms

sample457.0ms

Algorithm

intervals

Results

250.0ms

10115×

body

valid