Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	308×	body	80	valid
8.0ms	280×	body	80	nan

simplify70.0ms

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

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))))
0.1b	(* 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)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(+ (- 1.0 z) (log z))
61.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
74.0ms	(* 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	5002	370

prune158.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
40×	`distribute-lft-out`
26×	`pow1`
20×	`log-pow`
14×	`associate-+r+`
13×	`associate-r` `add-log-exp`
12×	`add-sqr-sqrt` `log-prod`
10×	`add-cube-cbrt` `distribute-lft-out--`
8×	`sum-log`
6×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
4×	`flip3-+` `flip-+`
3×	`+-commutative` `associate-+l-` `associate-+l+` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-*r/`
1×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

46.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
15.0ms	(+ (- 1.0 z) (log (sqrt z)))
74.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
190.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
61.0ms	(+ (- 1.0 z) (log (sqrt z)))
67.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
113.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

simplify62.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	506	933
1	1993	818
2	5001	799

prune277.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.0b	(* y (- 1.0 z))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite37.0ms

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` `distribute-lft-in`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-+r+`
6×	`associate-l`
4×	`sub-neg` `associate-+l+` `sum-log`
2×	`+-commutative` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `log-pow` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 86

Calls

4 calls:

11.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
9.0ms	(* y (- 1.0 z))
6.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series232.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
33.0ms	(* y (- 1.0 z))
97.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
39.0ms	(* y (log z))

simplify60.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	436	538
1	1993	482
2	5001	472

prune229.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 z) (log (sqrt z)))
0.1b	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* (log (sqrt z)) y))
0.1b	(* y (+ (- 1.0 z) (log (sqrt z))))
0.3b	(* (log (sqrt z)) y)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

15.0ms	(+ (- 1.0 z) (log (sqrt z)))
16.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* (log (sqrt z)) y))
46.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
4.0ms	(* (log (sqrt z)) y)

series396.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (- 1.0 z) (log (sqrt z)))
123.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* (log (sqrt z)) y))
91.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
120.0ms	(* (log (sqrt z)) y)

simplify59.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	455	690
1	1916	621
2	5002	605

prune262.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes116.0ms

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	18	10
1	18	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

336.0ms	9193×	body	80	valid
266.0ms	9327×	body	80	nan