Details

sample31.0ms

Algorithm

intervals

Results

11.0ms

356×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
7.9b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite55.0ms

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:

18.0ms	(* (* z 9.0) t)
8.0ms	(- (* x y) (* (* z 9.0) t))
27.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series122.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(* (* z 9.0) t)
46.0ms	(- (* x y) (* (* z 9.0) t))
60.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

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

prune162.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
7.8b	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
30×	`add-exp-log`
25×	`times-frac`
20×	`*-un-lft-identity` `add-cbrt-cube`
18×	`add-cube-cbrt`
16×	`associate-r`
14×	`associate-l`
11×	`prod-exp`
10×	`pow1`
8×	`div-exp`
7×	`cbrt-unprod`
6×	`unswap-sqr`
5×	`add-log-exp`
4×	`cbrt-undiv` `pow-prod-down`
2×	`rec-exp` `1-exp` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-r/` `associate-l/` `flip--`

Counts

3 → 86

Calls

3 calls:

20.0ms	(* (* z 9.0) t)
9.0ms	(- (* x y) (* (* z 9.0) t))
36.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

series171.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(* (* z 9.0) t)
46.0ms	(- (* x y) (* (* z 9.0) t))
109.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	513	759
1	2281	650
2	5002	644

prune428.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.3b	(- (* x y) (* z (* 9.0 t)))
7.9b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite52.0ms

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:

18.0ms	(* z (* 9.0 t))
9.0ms	(- (* x y) (* z (* 9.0 t)))
23.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series121.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(* z (* 9.0 t))
48.0ms	(- (* x y) (* z (* 9.0 t)))
57.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

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

prune148.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 7.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(- (* x y) (* 9.0 (* t z)))
0.3b	(* 9.0 (* t z))
7.9b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite53.0ms

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:

11.0ms	(- (* x y) (* 9.0 (* t z)))
17.0ms	(* 9.0 (* t z))
24.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series126.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (* x y) (* 9.0 (* t z)))
20.0ms	(* 9.0 (* t z))
58.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

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

prune130.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 7.9b

regimes378.0ms

Accuracy

0% (0.5b remaining)

Error of 7.9b against oracle of 7.4b and baseline of 7.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample838.0ms

Algorithm

intervals

Results

363.0ms

11232×

body

valid