Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	282×	body	80	valid
8.0ms	319×	body	80	nan

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

14.0ms	(+ (- 1.0 z) (log z))
8.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
42.0ms	(* y (+ (- 1.0 z) (log z)))

series297.0ms

Counts

3 → 9

Calls

3 calls:

161.0ms	(+ (- 1.0 z) (log z))
58.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
77.0ms	(* y (+ (- 1.0 z) (log z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5002	370

prune144.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (* y (- 1.0 z)))
0.0b	(* y (- 1.0 z))
0.1b	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
0.2b	(* y (log z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
11×	`add-log-exp`
10×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l`
4×	`sub-neg` `sum-log`
2×	`+-commutative` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`associate-+l+` `flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

3.0ms	(+ (* x 0.5) (* y (- 1.0 z)))
9.0ms	(* y (- 1.0 z))
12.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
4.0ms	(* y (log z))

series174.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* x 0.5) (* y (- 1.0 z)))
37.0ms	(* y (- 1.0 z))
59.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
42.0ms	(* y (log z))

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	405	529
1	1830	482
2	5002	471

prune205.0ms

Filtered

97 candidates to 62 candidates (63.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series733.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt z) (cbrt z))
176.0ms	(cbrt z)
174.0ms	(cbrt z)
176.0ms	(cbrt z)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune284.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

9.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series746.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt y) (cbrt y))
186.0ms	(cbrt y)
180.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	236

prune247.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample954.0ms

Algorithm

intervals

Results

325.0ms	9165×	body	80	valid
261.0ms	9181×	body	80	nan