Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

362×

body

valid

simplify63.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.4b	(* (* z 9.0) t)
8.5b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite16.0ms

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:

3.0ms	(- (* x y) (* (* z 9.0) t))
5.0ms	(* (* z 9.0) t)
7.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series134.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* x y) (* (* z 9.0) t))
17.0ms	(* (* z 9.0) t)
65.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (13.0ms)

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

prune155.0ms

Filtered

63 candidates to 44 candidates (69.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
8.5b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite16.0ms

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:

3.0ms	(- (* x y) (* z (* 9.0 t)))
5.0ms	(* z (* 9.0 t))
7.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series134.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* x y) (* z (* 9.0 t)))
17.0ms	(* z (* 9.0 t))
64.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	318	398
1	1325	340
2	5001	340

prune168.0ms

Filtered

63 candidates to 41 candidates (65.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 8.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* 9.0 (* t z)))
0.2b	(* 9.0 (* t z))
8.5b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite16.0ms

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:

3.0ms	(- (* x y) (* 9.0 (* t z)))
5.0ms	(* 9.0 (* t z))
7.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series139.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* x y) (* 9.0 (* t z)))
24.0ms	(* 9.0 (* t z))
65.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	311	398
1	1209	340
2	5001	340

prune143.0ms

Filtered

63 candidates to 41 candidates (65.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 8.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
5.7b	(/ (* x y) a)
7.0b	(/ (* t z) a)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

8.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms	(* 4.5 (/ (* t z) a))
4.0ms	(/ (* x y) a)
4.0ms	(/ (* t z) a)

series171.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms	(* 4.5 (/ (* t z) a))
19.0ms	(/ (* x y) a)
19.0ms	(/ (* t z) a)

simplify48.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	381	486
1	1921	419
2	5001	419

prune195.0ms

Filtered

95 candidates to 62 candidates (65.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

regimes619.0ms

Accuracy

46.8% (4.2b remaining)

Error of 4.6b against oracle of 0.4b and baseline of 8.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	38
1	59	38

end0.0ms

sample713.0ms

Algorithm

intervals

Results

389.0ms

11217×

body

valid