Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

354×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	6
1	91	6
2	289	6
3	770	6
4	1514	6
5	1860	6
6	1885	6
7	1885	6

prune3.0ms

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))

rewrite17.0ms

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×	`expm1-log1p-u` `times-frac` `associate-r` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

5.0ms	(* (* z 9.0) t)
4.0ms	(- (* x y) (* (* z 9.0) t))
7.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series148.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* (* z 9.0) t)
55.0ms	(- (* x y) (* (* z 9.0) t))
72.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	346	438
1	1623	375
2	5001	375

prune214.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.6b

localize13.0ms

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))

rewrite17.0ms

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×	`expm1-log1p-u` `times-frac` `associate-l` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

5.0ms	(* z (* 9.0 t))
4.0ms	(- (* x y) (* z (* 9.0 t)))
7.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series146.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* z (* 9.0 t))
59.0ms	(- (* x y) (* z (* 9.0 t)))
68.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	342	437
1	1396	374
2	5001	374

prune207.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.6b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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×	`expm1-log1p-u` `times-frac` `associate-l` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

4.0ms	(- (* x y) (* 9.0 (* t z)))
5.0ms	(* 9.0 (* t z))
7.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series151.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* x y) (* 9.0 (* t z)))
21.0ms	(* 9.0 (* t z))
71.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	336	437
1	1324	374
2	5002	374

prune198.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* 9.0 t))
0.2b	(- (* x y) (* z (* 9.0 t)))
0.3b	(/ 1 (/ (* a 2.0) (- (* x y) (* z (* 9.0 t)))))
8.4b	(/ (* a 2.0) (- (* x y) (* z (* 9.0 t))))

rewrite30.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`rec-exp` `1-exp` `associate-l` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `associate-r` `prod-diff` `*-commutative` `inv-pow`

Counts

4 → 127

Calls

4 calls:

5.0ms	(* z (* 9.0 t))
4.0ms	(- (* x y) (* z (* 9.0 t)))
11.0ms	(/ 1 (/ (* a 2.0) (- (* x y) (* z (* 9.0 t)))))
6.0ms	(/ (* a 2.0) (- (* x y) (* z (* 9.0 t))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* z (* 9.0 t))
54.0ms	(- (* x y) (* z (* 9.0 t)))
129.0ms	(/ 1 (/ (* a 2.0) (- (* x y) (* z (* 9.0 t)))))
53.0ms	(/ (* a 2.0) (- (* x y) (* z (* 9.0 t))))

simplify75.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	511	1243
1	2430	1093
2	5001	1044

prune291.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.6b

regimes698.0ms

Accuracy

0% (0.4b remaining)

Error of 7.8b against oracle of 7.3b and baseline of 7.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample745.0ms

Algorithm

intervals

Results

403.0ms

11222×

body

valid