Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

347×

body

valid

simplify67.0ms

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: 9.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
9.3b	(/ (- (* 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:

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

series140.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (* z 9.0) t)
52.0ms	(- (* x y) (* (* z 9.0) t))
71.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

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

prune190.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.5b	(- (* x y) (* z (* 9.0 t)))
9.3b	(/ (- (* x y) (* z (* 9.0 t))) (* 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	(* z (* 9.0 t))
3.0ms	(- (* x y) (* z (* 9.0 t)))
9.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series138.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* z (* 9.0 t))
52.0ms	(- (* x y) (* z (* 9.0 t)))
68.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (15.0ms)

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

prune379.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.5b	(- (* x y) (* 9.0 (* t z)))
9.3b	(/ (- (* 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)))
8.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series142.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* 9.0 (* t z))
53.0ms	(- (* x y) (* 9.0 (* t z)))
69.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (11.0ms)

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

prune173.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (* x y) (* (* z 9.0) t)) 2.0)
0.2b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
9.4b	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
34×	`times-frac`
33×	`add-exp-log`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
23×	`add-cbrt-cube`
16×	`associate-r`
14×	`associate-l`
11×	`pow1` `prod-exp`
9×	`div-exp`
7×	`cbrt-unprod`
6×	`add-log-exp` `unswap-sqr`
5×	`cbrt-undiv`
4×	`pow-prod-down`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`rec-exp` `flip3--` `1-exp` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `associate-l/` `clear-num`

Counts

4 → 116

Calls

4 calls:

7.0ms	(/ (- (* x y) (* (* z 9.0) t)) 2.0)
7.0ms	(* (* z 9.0) t)
2.0ms	(- (* x y) (* (* z 9.0) t))
19.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

series261.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (- (* x y) (* (* z 9.0) t)) 2.0)
17.0ms	(* (* z 9.0) t)
57.0ms	(- (* x y) (* (* z 9.0) t))
124.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	569	1044
1	2580	913
2	5001	907

prune327.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 9.4b

regimes435.0ms

Accuracy

0% (0.5b remaining)

Error of 8.0b against oracle of 7.6b and baseline of 8.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample708.0ms

Algorithm

intervals

Results

376.0ms

11159×

body

valid