Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

354×

body

valid

simplify75.0ms

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: 6.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
6.4b	(/ (- (* 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×	`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))
8.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series139.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (* z 9.0) t)
57.0ms	(- (* x y) (* (* z 9.0) t))
64.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (12.0ms)

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

prune202.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(* z (* 9.0 t))
0.5b	(- (* x y) (* z (* 9.0 t)))
6.4b	(/ (- (* 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×	`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)))
8.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series139.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* z (* 9.0 t))
54.0ms	(- (* x y) (* z (* 9.0 t)))
67.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (11.0ms)

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

prune191.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.5b	(- (* x y) (* 9.0 (* t z)))
6.4b	(/ (- (* 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×	`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)))
8.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series141.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* 9.0 (* t z))
55.0ms	(- (* x y) (* 9.0 (* t z)))
65.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (11.0ms)

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

prune193.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.4b

localize11.0ms

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))
5.4b	(/ (* t z) a)
6.2b	(/ (* x y) 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/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

7.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
8.0ms	(* 4.5 (/ (* t z) a))
4.0ms	(/ (* t z) a)
4.0ms	(/ (* x y) a)

series179.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms	(* 4.5 (/ (* t z) a))
23.0ms	(/ (* t z) a)
19.0ms	(/ (* x y) a)

simplify57.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	405	538
1	2002	467
2	5001	467

prune253.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

regimes668.0ms

Accuracy

44.8% (4.1b remaining)

Error of 4.6b against oracle of 0.5b and baseline of 7.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	28
1	47	28

end0.0ms

sample707.0ms

Algorithm

intervals

Results

381.0ms

11177×

body

valid