Details

sample40.0ms

Algorithm

intervals

Results

24.0ms

358×

body

valid

simplify71.0ms

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: 7.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.6b	(- (* x y) (* (* z 9.0) t))
7.2b	(/ (- (* 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×	`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:

6.0ms	(* (* z 9.0) t)
3.0ms	(- (* x y) (* (* z 9.0) t))
8.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series142.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (* z 9.0) t)
55.0ms	(- (* x y) (* (* z 9.0) t))
69.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (11.0ms)

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

prune194.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.6b	(- (* x y) (* z (* 9.0 t)))
7.2b	(/ (- (* 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×	`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:

6.0ms	(* z (* 9.0 t))
3.0ms	(- (* x y) (* z (* 9.0 t)))
8.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series136.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* z (* 9.0 t))
52.0ms	(- (* x y) (* z (* 9.0 t)))
66.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (10.0ms)

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

prune186.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (/ (* x y) a))
0.2b	(* 4.5 (/ (* t z) a))
4.7b	(/ (* t z) a)
8.0b	(/ (* x y) a)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp`
6×	`associate-l` `associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l*` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

8.0ms	(* 0.5 (/ (* x y) a))
8.0ms	(* 4.5 (/ (* t z) a))
3.0ms	(/ (* t z) a)
3.0ms	(/ (* x y) a)

series99.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 0.5 (/ (* x y) a))
28.0ms	(* 4.5 (/ (* t z) a))
19.0ms	(/ (* t z) a)
23.0ms	(/ (* x y) a)

simplify50.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	388	484
1	2044	398
2	5002	398

prune288.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (/ x (/ a y)))
0.2b	(* 4.5 (/ (* t z) a))
4.5b	(/ x (/ a y))
4.7b	(/ (* t z) a)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
98×	`add-sqr-sqrt`
87×	`add-cube-cbrt` `*-un-lft-identity`
51×	`associate-r`
32×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
11×	`div-inv`
10×	`cbrt-undiv` `div-exp`
8×	`pow1` `prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r/` `-commutative`

Counts

4 → 192

Calls

4 calls:

18.0ms	(* 0.5 (/ x (/ a y)))
8.0ms	(* 4.5 (/ (* t z) a))
5.0ms	(/ x (/ a y))
4.0ms	(/ (* t z) a)

series107.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* 0.5 (/ x (/ a y)))
27.0ms	(* 4.5 (/ (* t z) a))
20.0ms	(/ x (/ a y))
25.0ms	(/ (* t z) a)

simplify89.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	723	1084
1	3698	993
2	5001	993

prune576.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes652.0ms

Accuracy

95% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 8.0b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	52
1	61	52

end0.0ms

sample1.0s

Algorithm

intervals

Results

695.0ms

11079×

body

valid