Details

sample47.0ms

Algorithm

intervals

Results

29.0ms

362×

body

valid

simplify86.0ms

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: 8.2b

localize11.0ms

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))

rewrite24.0ms

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:

10.0ms	(* (* z 9.0) t)
3.0ms	(- (* x y) (* (* z 9.0) t))
9.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series156.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (* z 9.0) t)
62.0ms	(- (* x y) (* (* z 9.0) t))
74.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (14.0ms)

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

prune226.0ms

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))

rewrite20.0ms

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

series165.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* 9.0 (* t z))
60.0ms	(- (* x y) (* 9.0 (* t z)))
78.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	336	437
1	1324	374
2	5001	374

prune209.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.8b

localize12.0ms

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)))

rewrite34.0ms

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-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `associate-l` `prod-diff` `*-commutative` `inv-pow`

Counts

4 → 127

Calls

4 calls:

7.0ms	(* (* z 9.0) t)
11.0ms	(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
3.0ms	(- (* x y) (* (* z 9.0) t))
6.0ms	(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* z 9.0) t)
138.0ms	(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
63.0ms	(- (* x y) (* (* z 9.0) t))
58.0ms	(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

simplify87.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	515	1244
1	2627	1094
2	5001	1045

prune353.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 7.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (* a (/ 2.0 (- (* x y) (* (* z 9.0) t)))))
0.3b	(- (* x y) (* (* z 9.0) t))
1.1b	(/ 2.0 (- (* x y) (* (* z 9.0) t)))
6.5b	(* a (/ 2.0 (- (* x y) (* (* z 9.0) t))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`add-cbrt-cube`
15×	`associate-r`
11×	`div-exp`
9×	`pow1`
8×	`prod-exp`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp`
5×	`associate-/r/`
4×	`expm1-log1p-u` `associate-/r*` `cbrt-unprod` `log1p-expm1-u`
3×	`rec-exp` `flip3--` `1-exp` `associate-l` `flip--` `div-inv`
2×	`pow-flip` `frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `unswap-sqr`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `*-commutative` `inv-pow`

Counts

4 → 118

Calls

4 calls:

12.0ms	(/ 1 (* a (/ 2.0 (- (* x y) (* (* z 9.0) t)))))
3.0ms	(- (* x y) (* (* z 9.0) t))
5.0ms	(/ 2.0 (- (* x y) (* (* z 9.0) t)))
15.0ms	(* a (/ 2.0 (- (* x y) (* (* z 9.0) t))))

series312.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(/ 1 (* a (/ 2.0 (- (* x y) (* (* z 9.0) t)))))
64.0ms	(- (* x y) (* (* z 9.0) t))
46.0ms	(/ 2.0 (- (* x y) (* (* z 9.0) t)))
65.0ms	(* a (/ 2.0 (- (* x y) (* (* z 9.0) t))))

simplify77.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	427	1036
1	2097	904
2	5001	895

prune357.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 7.8b

regimes467.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample1.3s

Algorithm

intervals

Results

916.0ms

11277×

body

valid