Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

347×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 9.8b

localize11.0ms

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))

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

series152.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* (* z 9.0) t)
57.0ms	(- (* x y) (* (* z 9.0) t))
75.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (14.0ms)

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

prune227.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.4b

localize10.0ms

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))

rewrite23.0ms

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)))
12.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series152.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* z (* 9.0 t))
61.0ms	(- (* x y) (* z (* 9.0 t)))
71.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (13.0ms)

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

prune224.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.4b

localize10.0ms

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))

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

series163.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* 9.0 (* t z))
58.0ms	(- (* x y) (* 9.0 (* t z)))
77.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (12.0ms)

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

prune220.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.4b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
13×	`prod-exp`
10×	`pow1` `associate-r`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`expm1-log1p-u` `flip3--` `times-frac` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `-commutative`
1×	`sub-neg` `fma-neg` `diff-log` `associate-*r/` `prod-diff` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

6.0ms	(* (* z 9.0) t)
3.0ms	(- (* x y) (* (* z 9.0) t))
23.0ms	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* a 2.0)))

series154.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (* z 9.0) t)
62.0ms	(- (* x y) (* (* z 9.0) t))
72.0ms	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* a 2.0)))

simplify72.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	408	565
1	1869	477
2	5002	473

prune219.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.4b

regimes594.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample741.0ms

Algorithm

intervals

Results

399.0ms

11159×

body

valid