Details

sample30.0ms

Algorithm

intervals

Results

11.0ms

366×

body

valid

simplify82.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
6.8b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite48.0ms

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:

8.0ms	(- (* x y) (* (* z 9.0) t))
16.0ms	(* (* z 9.0) t)
22.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series141.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* x y) (* (* z 9.0) t))
18.0ms	(* (* z 9.0) t)
69.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	346	438
1	1623	375
2	5002	375

prune190.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.8b

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))
4.7b	(/ (* t z) a)
6.6b	(/ (* x y) a)

rewrite56.0ms

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:

19.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
16.0ms	(* 4.5 (/ (* t z) a))
9.0ms	(/ (* t z) a)
10.0ms	(/ (* x y) a)

series178.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
30.0ms	(* 4.5 (/ (* t z) a))
19.0ms	(/ (* t z) a)
20.0ms	(/ (* x y) a)

simplify56.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (13.0ms)

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

prune266.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.6b

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)))
3.2b	(* t (/ z a))
6.6b	(/ (* x y) a)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-r`
13×	`times-frac`
11×	`pow1`
9×	`associate-*r/`
8×	`prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `log1p-expm1-u`
3×	`associate-/r*`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `clear-num` `frac-sub` `flip--` `associate-/l*` `sub-div`

Counts

4 → 98

Calls

4 calls:

21.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (* t (/ z a))))
24.0ms	(* 4.5 (* t (/ z a)))
13.0ms	(* t (/ z a))
9.0ms	(/ (* x y) a)

series179.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (* t (/ z a))))
28.0ms	(* 4.5 (* t (/ z a)))
23.0ms	(* t (/ z a))
21.0ms	(/ (* x y) a)

simplify65.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	453	557
1	2144	486
2	5001	486

prune263.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (/ (* x y) a))
0.0b	(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
3.3b	(* (* 4.5 t) (/ z a))
6.6b	(/ (* x y) a)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `add-cbrt-cube`
20×	`associate-r`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac`
11×	`pow1` `prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `associate-*r/` `div-exp` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u`
3×	`associate-/r*` `div-inv`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `clear-num` `frac-sub` `flip--` `associate-/l*` `sub-div` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

17.0ms	(* 0.5 (/ (* x y) a))
20.0ms	(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
24.0ms	(* (* 4.5 t) (/ z a))
9.0ms	(/ (* x y) a)

series190.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* 0.5 (/ (* x y) a))
109.0ms	(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
29.0ms	(* (* 4.5 t) (/ z a))
24.0ms	(/ (* x y) a)

simplify73.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	514	626
1	2733	543
2	5001	543

prune255.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes615.0ms

Accuracy

94.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 8.8b

bsearch2.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	49	51
1	52	51
2	58	30
3	61	30
4	67	30
5	78	30
6	85	30
7	86	30
8	86	30

end0.0ms

sample796.0ms

Algorithm

intervals

Results

360.0ms

11158×

body

valid