Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

261×

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: 2.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- y (* z t))
2.9b	(/ x (- y (* z t)))

rewrite7.0ms

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:

2.0ms	(- y (* z t))
4.0ms	(/ x (- y (* z t)))

series64.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify106.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (36.0ms)

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

prune90.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	8	48

Merged error: 2.9b

Counts

48 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.6b	(/ 1 (/ (- y (* z t)) x))
2.7b	(/ (- y (* z t)) x)

rewrite18.0ms

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))
6.0ms	(/ 1 (/ (- y (* z t)) x))
5.0ms	(/ (- y (* z t)) x)

series165.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- y (* z t))
98.0ms	(/ 1 (/ (- y (* z t)) x))
39.0ms	(/ (- y (* z t)) x)

simplify47.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (37.0ms)

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

prune157.0ms

Filtered

127 candidates to 71 candidates (55.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	127	8	135

Merged error: 2.9b

Counts

135 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.2b	(/ 1 (- y (* z t)))
3.0b	(/ (/ 1 (- y (* z t))) (/ 1 x))

rewrite36.0ms

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))
4.0ms	(/ 1 (- y (* z t)))
12.0ms	(/ (/ 1 (- y (* z t))) (/ 1 x))

series173.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- y (* z t))
42.0ms	(/ 1 (- y (* z t)))
102.0ms	(/ (/ 1 (- y (* z t))) (/ 1 x))

simplify66.0ms

Algorithm

egg-herbie

Counts

309 → 309

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1353	3622
1	5002	3043

prune369.0ms

Filtered

309 candidates to 146 candidates (47.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	307	2	309
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	309	8	317

Merged error: 2.9b

Counts

317 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.6b	(/ 1 (* (- y (* z t)) (/ 1 x)))
2.8b	(* (- y (* z t)) (/ 1 x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

3.0ms	(- y (* z t))
8.0ms	(/ 1 (* (- y (* z t)) (/ 1 x)))
9.0ms	(* (- y (* z t)) (/ 1 x))

series174.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- y (* z t))
100.0ms	(/ 1 (* (- y (* z t)) (/ 1 x)))
46.0ms	(* (- y (* z t)) (/ 1 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	376	597
1	1726	478
2	5002	453

prune128.0ms

Filtered

105 candidates to 58 candidates (55.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	105	8	113

Merged error: 2.9b

Counts

113 → 8

regimes188.0ms

Accuracy

0% (0.1b remaining)

Error of 2.8b against oracle of 2.7b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample437.0ms

Algorithm

intervals

Results

211.0ms

8372×

body

valid