Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

321×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(+ (* (- 1.0 x) y) (* x z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

6.0ms	(* (- 1.0 x) y)
6.0ms	(+ (* (- 1.0 x) y) (* x z))

series66.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 x) y)
36.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify119.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	196	192
1	847	175
2	4460	175
3	5001	174

prune97.0ms

Filtered

44 candidates to 33 candidates (75.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* x z) 3)
0.3b	(* (* x z) (* x z))
4.2b	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
39.5b	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (fma (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z)) (* (* x z) (* x z))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
26×	`*-un-lft-identity`
21×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
8×	`fma-def`
6×	`add-log-exp`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`pow-unpow` `associate-/r*`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `flip3-+` `pow-plus` `unpow3` `cube-prod` `pow-exp` `flip-+` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow2` `pow-to-exp` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 122

Calls

4 calls:

4.0ms	(pow (* x z) 3)
6.0ms	(* (* x z) (* x z))
10.0ms	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
13.0ms	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (fma (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z)) (* (* x z) (* x z))))

series869.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(pow (* x z) 3)
261.0ms	(* (* x z) (* x z))
239.0ms	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
316.0ms	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (fma (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z)) (* (* x z) (* x z))))

simplify106.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	429	1406
1	2241	1284
2	5001	1277

prune358.0ms

Filtered

134 candidates to 84 candidates (62.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample426.0ms

Algorithm

intervals

Results

229.0ms

10141×

body

valid

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3