Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

361×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
8.0b	(/ (- (* 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-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))
17.0ms	(* (* z 9.0) t)
26.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series125.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (* x y) (* (* z 9.0) t))
15.0ms	(* (* z 9.0) t)
61.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

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

prune243.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
8.0b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite50.0ms

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:

8.0ms	(- (* x y) (* z (* 9.0 t)))
16.0ms	(* z (* 9.0 t))
25.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series122.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify46.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	318	398
1	1325	340
2	5001	340

prune249.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.2b

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))
6.5b	(/ (* x y) a)
6.6b	(/ (* t z) a)

rewrite58.0ms

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:

16.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
20.0ms	(* 4.5 (/ (* t z) a))
10.0ms	(/ (* x y) a)
10.0ms	(/ (* t z) a)

series161.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
29.0ms	(* 4.5 (/ (* t z) a))
17.0ms	(/ (* x y) a)
17.0ms	(/ (* t z) a)

simplify53.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (12.0ms)

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

prune308.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
5.1b	(/ x (/ a y))
6.6b	(/ (* t z) a)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
53×	`add-sqr-sqrt`
51×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
7×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
6×	`pow1` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-/l*`
3×	`associate-r/` `associate-l*`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `associate-/r/` `*-commutative` `frac-sub` `flip--` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

15.0ms	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
18.0ms	(* 4.5 (/ (* t z) a))
9.0ms	(/ x (/ a y))
10.0ms	(/ (* t z) a)

series138.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
24.0ms	(* 4.5 (/ (* t z) a))
19.0ms	(/ x (/ a y))
18.0ms	(/ (* t z) a)

simplify71.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	600	842
1	2819	771
2	5001	771

prune549.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes595.0ms

Accuracy

83.1% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 8.1b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	28
1	45	28

end0.0ms

sample721.0ms

Algorithm

intervals

Results

388.0ms

11256×

body

valid