Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

362×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
7.8b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite19.0ms

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:

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

series141.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (* z 9.0) t)
54.0ms	(- (* x y) (* (* z 9.0) t))
69.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

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

prune168.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.3b	(- (* x y) (* 9.0 (* t z)))
7.8b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite18.0ms

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:

6.0ms	(* 9.0 (* t z))
3.0ms	(- (* x y) (* 9.0 (* t z)))
9.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series145.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* 9.0 (* t z))
56.0ms	(- (* x y) (* 9.0 (* t z)))
68.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	311	398
1	1209	340
2	5002	340

prune160.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
0.3b	(- (* x y) (* (* z 9.0) t))
7.8b	(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
35×	`add-exp-log`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
23×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-/r*`
11×	`associate-/r/`
10×	`pow1`
7×	`cbrt-undiv` `prod-exp`
6×	`flip3--` `flip--` `div-inv` `add-log-exp`
5×	`cbrt-unprod`
4×	`associate-/l*`
3×	`rec-exp` `1-exp` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `associate-l` `*-commutative` `inv-pow`

Counts

4 → 117

Calls

4 calls:

6.0ms	(* (* z 9.0) t)
10.0ms	(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
2.0ms	(- (* x y) (* (* z 9.0) t))
6.0ms	(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* z 9.0) t)
129.0ms	(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
54.0ms	(- (* x y) (* (* z 9.0) t))
56.0ms	(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

simplify72.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	494	1193
1	2502	1050
2	5002	1003

prune276.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (* (* a 2.0) (/ 1 (- (* x y) (* (* z 9.0) t)))))
0.3b	(- (* x y) (* (* z 9.0) t))
1.1b	(/ 1 (- (* x y) (* (* z 9.0) t)))
6.6b	(* (* a 2.0) (/ 1 (- (* x y) (* (* z 9.0) t))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 140

Calls

4 calls:

21.0ms	(/ 1 (* (* a 2.0) (/ 1 (- (* x y) (* (* z 9.0) t)))))
2.0ms	(- (* x y) (* (* z 9.0) t))
6.0ms	(/ 1 (- (* x y) (* (* z 9.0) t)))
16.0ms	(* (* a 2.0) (/ 1 (- (* x y) (* (* z 9.0) t))))

series272.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ 1 (* (* a 2.0) (/ 1 (- (* x y) (* (* z 9.0) t)))))
59.0ms	(- (* x y) (* (* z 9.0) t))
35.0ms	(/ 1 (- (* x y) (* (* z 9.0) t)))
52.0ms	(* (* a 2.0) (/ 1 (- (* x y) (* (* z 9.0) t))))

simplify78.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	544	1301
1	2671	1042
2	5001	1001

prune239.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 7.8b

regimes428.0ms

Accuracy

0% (0.4b remaining)

Error of 7.7b against oracle of 7.4b and baseline of 7.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample700.0ms

Algorithm

intervals

Results

375.0ms

11277×

body

valid