Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	286×	body	80	valid
7.0ms	281×	body	80	nan

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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

rewrite69.0ms

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:

9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
15.0ms	(+ (- 1.0 z) (log z))
43.0ms	(* y (+ (- 1.0 z) (log z)))

series312.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
168.0ms	(+ (- 1.0 z) (log z))
80.0ms	(* y (+ (- 1.0 z) (log z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5001	370

prune157.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

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:

11.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
15.0ms	(+ (- 1.0 z) (log z))
41.0ms	(* y (+ (- 1.0 z) (log z)))

series311.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
175.0ms	(+ (- 1.0 z) (log z))
77.0ms	(* y (+ (- 1.0 z) (log z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5001	370

prune175.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.2b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

12.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
6.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series203.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
98.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
39.0ms	(* y (log z))

simplify50.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	368	448
1	1478	396
2	5002	380

prune173.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

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` `add-cbrt-cube`
4×	`associate-+l+` `log-pow` `distribute-lft-out--`
3×	`associate-+r+` `log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `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:

15.0ms	(+ (* y (+ (- 1.0 z) (log z))) (* x 0.5))
14.0ms	(+ (- 1.0 z) (log z))
44.0ms	(* y (+ (- 1.0 z) (log z)))

series316.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (* y (+ (- 1.0 z) (log z))) (* x 0.5))
170.0ms	(+ (- 1.0 z) (log z))
81.0ms	(* y (+ (- 1.0 z) (log z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	351	422
1	1472	374
2	5001	373

prune147.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes181.0ms

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

sample936.0ms

Algorithm

intervals

Results

317.0ms	9177×	body	80	valid
249.0ms	9163×	body	80	nan