Details

sample30.0ms

Algorithm

intervals

Results

11.0ms

366×

body

valid

simplify68.0ms

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: 7.2b

localize10.0ms

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))

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-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:

8.0ms	(- (* x y) (* (* z 9.0) t))
18.0ms	(* (* z 9.0) t)
26.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series121.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (* x y) (* (* z 9.0) t))
16.0ms	(* (* z 9.0) t)
60.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (11.0ms)

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

prune185.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.8b

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

rewrite61.0ms

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:

20.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
18.0ms	(* 4.5 (/ (* t z) a))
10.0ms	(/ (* t z) a)
10.0ms	(/ (* x y) a)

series158.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
24.0ms	(* 4.5 (/ (* t z) a))
18.0ms	(/ (* t z) a)
18.0ms	(/ (* x y) a)

simplify58.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (12.0ms)

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

prune259.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

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)

rewrite76.0ms

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` `div-exp` `pow-prod-down`
3×	`associate-/r*`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `frac-sub` `flip--` `associate-/l*` `sub-div`

Counts

4 → 88

Calls

4 calls:

21.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (* t (/ z a))))
27.0ms	(* 4.5 (* t (/ z a)))
14.0ms	(* t (/ z a))
11.0ms	(/ (* x y) a)

series163.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (* t (/ z a))))
25.0ms	(* 4.5 (* t (/ z a)))
21.0ms	(* t (/ z a))
18.0ms	(/ (* x y) a)

simplify60.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	424	505
1	2047	438
2	5002	438

prune254.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite79.0ms

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×	`associate-l` `pow-prod-down`
3×	`associate-/r*` `div-inv`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `frac-sub` `flip--` `associate-/l*` `sub-div` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

21.0ms	(* 0.5 (/ (* x y) a))
21.0ms	(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
24.0ms	(* (* 4.5 t) (/ z a))
10.0ms	(/ (* x y) a)

series174.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 0.5 (/ (* x y) a))
101.0ms	(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
25.0ms	(* (* 4.5 t) (/ z a))
18.0ms	(/ (* x y) a)

simplify72.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	486	572
1	2618	492
2	5002	492

prune240.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes699.0ms

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

sample820.0ms

Algorithm

intervals

Results

356.0ms

11158×

body

valid