Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

354×

body

valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	6
1	89	6
2	277	6
3	735	6
4	1436	6
5	1714	6
6	1730	6
7	1730	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.2b	(- (* x y) (* (* z 9.0) t))
8.5b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

5.0ms	(* (* z 9.0) t)
3.0ms	(- (* x y) (* (* z 9.0) t))
7.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series134.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (* z 9.0) t)
49.0ms	(- (* x y) (* (* z 9.0) t))
65.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	326	399
1	1408	341
2	5002	341

prune170.0ms

Filtered

63 candidates to 44 candidates (69.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.2b	(- (* x y) (* z (* 9.0 t)))
8.5b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

5.0ms	(* z (* 9.0 t))
3.0ms	(- (* x y) (* z (* 9.0 t)))
7.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series135.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* z (* 9.0 t))
53.0ms	(- (* x y) (* z (* 9.0 t)))
65.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	318	398
1	1325	340
2	5002	340

prune163.0ms

Filtered

63 candidates to 43 candidates (68.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
0.2b	(* (* z 9.0) t)
5.3b	(/ (* x y) (* a 2.0))
6.4b	(/ (* (* z 9.0) t) (* a 2.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`add-cube-cbrt`
4×	`div-inv`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `associate-/l`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `associate-l` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `difference-of-squares`

Counts

4 → 81

Calls

4 calls:

7.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
5.0ms	(* (* z 9.0) t)
5.0ms	(/ (* x y) (* a 2.0))
8.0ms	(/ (* (* z 9.0) t) (* a 2.0))

series177.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
17.0ms	(* (* z 9.0) t)
27.0ms	(/ (* x y) (* a 2.0))
29.0ms	(/ (* (* z 9.0) t) (* a 2.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	452	605
1	2932	489
2	5003	489

prune194.0ms

Filtered

93 candidates to 54 candidates (58.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
0.2b	(/ (* z 9.0) a)
4.3b	(* (/ (* z 9.0) a) (/ t 2.0))
5.3b	(/ (* x y) (* a 2.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

6.0ms	(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
4.0ms	(/ (* z 9.0) a)
12.0ms	(* (/ (* z 9.0) a) (/ t 2.0))
5.0ms	(/ (* x y) (* a 2.0))

series248.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
87.0ms	(/ (* z 9.0) a)
28.0ms	(* (/ (* z 9.0) a) (/ t 2.0))
28.0ms	(/ (* x y) (* a 2.0))

simplify91.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	627	726
1	3660	609
2	5002	609

prune253.0ms

Filtered

116 candidates to 75 candidates (64.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes668.0ms

Accuracy

41.2% (4.5b remaining)

Error of 4.5b against oracle of 0.0b and baseline of 7.7b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	48
1	66	48
2	66	48

end0.0ms

sample766.0ms

Algorithm

intervals

Results

398.0ms

11222×

body

valid