Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

269×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 3.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- y (* z t))
3.9b	(/ 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)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- y (* z t))
36.0ms	(/ x (- y (* z t)))

simplify110.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (37.0ms)

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

prune102.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	35	12	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	12	48

Merged error: 3.8b

Counts

48 → 12

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.8b	(/ 1 (- y (* z t)))
3.4b	(* x (/ 1 (- y (* z t))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
19×	`add-cube-cbrt`
16×	`add-exp-log`
15×	`associate-r`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 83

Calls

3 calls:

3.0ms	(- y (* z t))
4.0ms	(/ 1 (- y (* z t)))
8.0ms	(* x (/ 1 (- y (* z t))))

series105.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- y (* z t))
41.0ms	(/ 1 (- y (* z t)))
36.0ms	(* x (/ 1 (- y (* z t))))

simplify70.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	264	479
1	1071	416
2	3863	386
3	5001	386

prune134.0ms

Filtered

92 candidates to 54 candidates (58.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	92	12	104

Merged error: 3.8b

Counts

104 → 12

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.7b	(/ 1 (/ (- y (* z t)) x))
3.6b	(/ (- 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)

series170.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- y (* z t))
99.0ms	(/ 1 (/ (- y (* z t)) x))
43.0ms	(/ (- y (* z t)) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (40.0ms)

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

prune177.0ms

Filtered

127 candidates to 69 candidates (54.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	3	7	10
Picked	0	1	1
Done	0	1	1
Total	128	11	139

Merged error: 3.8b

Counts

139 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.8b	(/ 1 (- y (* z t)))
3.5b	(/ (/ 1 (- y (* z t))) (/ 1 x))

rewrite45.0ms

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)))
13.0ms	(/ (/ 1 (- y (* z t))) (/ 1 x))

series172.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- y (* z t))
42.0ms	(/ 1 (- y (* z t)))
98.0ms	(/ (/ 1 (- y (* z t))) (/ 1 x))

simplify63.0ms

Algorithm

egg-herbie

Counts

309 → 309

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1353	3622
1	5002	3043

prune381.0ms

Filtered

309 candidates to 144 candidates (46.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	308	1	309
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	309	11	320

Merged error: 3.8b

Counts

320 → 11

regimes237.0ms

Accuracy

0% (0.2b remaining)

Error of 2.8b against oracle of 2.6b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample530.0ms

Algorithm

intervals

Results

274.0ms

8372×

body

valid