Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

266×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	17	3

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: 3.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- y (* z t))
3.4b	(/ x (- y (* z t)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 41

Calls

2 calls:

3.0ms	(- y (* z t))
4.0ms	(/ x (- y (* z t)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(- y (* z t))
33.0ms	(/ x (- y (* z t)))

simplify133.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	157	244
1	479	225
2	1401	225
3	4323	224
4	5001	224

prune105.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	39	8	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	9	48

Merged error: 3.3b

Counts

48 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.6b	(/ 1 (/ (- y (* z t)) x))
3.4b	(/ (- y (* z t)) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `associate-/r*`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `associate-/r/` `inv-pow`

Counts

3 → 118

Calls

3 calls:

3.0ms	(- y (* z t))
7.0ms	(/ 1 (/ (- y (* z t)) x))
5.0ms	(/ (- y (* z t)) x)

series166.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- y (* z t))
96.0ms	(/ 1 (/ (- y (* z t)) x))
43.0ms	(/ (- y (* z t)) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	409	937
1	1775	836
2	5001	759

prune189.0ms

Filtered

127 candidates to 70 candidates (55.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	128	8	136

Merged error: 3.3b

Counts

136 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.5b	(/ 1 (- y (* z t)))
3.3b	(/ (/ 1 (- y (* z t))) (/ 1 x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

474×	`times-frac`
221×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
47×	`add-exp-log`
34×	`div-exp`
32×	`div-inv`
31×	`associate-/r/`
18×	`associate-/l*`
17×	`add-cbrt-cube`
16×	`flip3--` `associate-/r*` `flip--`
9×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`add-log-exp`
4×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `associate-/l/` `inv-pow`

Counts

3 → 300

Calls

3 calls:

3.0ms	(- y (* z t))
5.0ms	(/ 1 (- y (* z t)))
15.0ms	(/ (/ 1 (- y (* z t))) (/ 1 x))

series170.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- y (* z t))
45.0ms	(/ 1 (- y (* z t)))
98.0ms	(/ (/ 1 (- y (* z t))) (/ 1 x))

simplify66.0ms

Algorithm

egg-herbie

Counts

309 → 309

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1353	3622
1	5002	3043

prune435.0ms

Filtered

309 candidates to 146 candidates (47.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	307	2	309
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	309	8	317

Merged error: 3.3b

Counts

317 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ (/ 1 (- y (* z t))) (/ 1 x))
15.4b	(cbrt (/ (/ 1 (- y (* z t))) (/ 1 x)))
15.4b	(cbrt (/ (/ 1 (- y (* z t))) (/ 1 x)))
15.4b	(cbrt (/ (/ 1 (- y (* z t))) (/ 1 x)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

1806×	`times-frac`
805×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
600×	`cbrt-prod`
118×	`div-inv`
110×	`associate-/r/`
53×	`flip3--` `flip--`
44×	`add-exp-log`
32×	`div-exp`
16×	`add-cbrt-cube`
15×	`associate-/l*`
13×	`associate-/r*`
8×	`cbrt-undiv` `rec-exp` `1-exp`
4×	`pow1` `add-log-exp`
3×	`cbrt-div` `pow1/3`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 882

Calls

4 calls:

12.0ms	(/ (/ 1 (- y (* z t))) (/ 1 x))
16.0ms	(cbrt (/ (/ 1 (- y (* z t))) (/ 1 x)))
20.0ms	(cbrt (/ (/ 1 (- y (* z t))) (/ 1 x)))
16.0ms	(cbrt (/ (/ 1 (- y (* z t))) (/ 1 x)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (/ 1 (- y (* z t))) (/ 1 x))
133.0ms	(cbrt (/ (/ 1 (- y (* z t))) (/ 1 x)))
129.0ms	(cbrt (/ (/ 1 (- y (* z t))) (/ 1 x)))
134.0ms	(cbrt (/ (/ 1 (- y (* z t))) (/ 1 x)))

simplify204.0ms

Algorithm

egg-herbie

Counts

894 → 894

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	1744	14437
1	5001	13173

prune1.9s

Filtered

894 candidates to 399 candidates (44.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	894	0	894
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	894	8	902

Merged error: 3.3b

Counts

902 → 8

regimes187.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.8b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample406.0ms

Algorithm

intervals

Results

196.0ms

8361×

body

valid