Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	295×	body	80	valid
7.0ms	250×	body	80	nan

simplify59.0ms

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 2 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

14.0ms	(+ (- 1.0 z) (log z))
41.0ms	(* y (+ (- 1.0 z) (log z)))

series235.0ms

Counts

2 → 6

Calls

2 calls:

158.0ms	(+ (- 1.0 z) (log z))
77.0ms	(* y (+ (- 1.0 z) (log z)))

simplify31.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	247	273
1	1060	236
2	5001	235

prune112.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

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

series136.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
41.0ms	(* y (log z))

simplify124.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	249	284
1	977	249
2	4898	228
3	5001	228

prune123.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
30×	`log-prod`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `associate-+r+`
15×	`sqrt-prod`
14×	`pow1` `distribute-rgt-in` `distribute-lft-in`
13×	`associate-r`
9×	`distribute-lft-out` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`log-pow`
6×	`associate-l`
4×	`associate-+l+` `distribute-lft-out--`
3×	`flip3-+` `sum-log` `flip-+`
2×	`+-commutative` `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 → 110

Calls

4 calls:

17.0ms	(+ (- 1.0 z) (log (sqrt z)))
42.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
17.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
8.0ms	(* y (log (sqrt z)))

series352.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (- 1.0 z) (log (sqrt z)))
87.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
114.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
90.0ms	(* y (log (sqrt z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	509	902
1	2007	817
2	5001	772

prune302.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 2 (log (sqrt z))) (- 1.0 z))
0.0b	(log (sqrt z))
0.2b	(* y (+ (* 2 (log (sqrt z))) (- 1.0 z)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

10.0ms	(+ (* 2 (log (sqrt z))) (- 1.0 z))
1.0ms	(log (sqrt z))
33.0ms	(* y (+ (* 2 (log (sqrt z))) (- 1.0 z)))

series245.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ (* 2 (log (sqrt z))) (- 1.0 z))
66.0ms	(log (sqrt z))
106.0ms	(* y (+ (* 2 (log (sqrt z))) (- 1.0 z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	373	541
1	1365	483
2	5001	472

prune213.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes98.0ms

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	19	8
1	19	8

end0.0ms

sample951.0ms

Algorithm

intervals

Results

332.0ms	9136×	body	80	valid
246.0ms	9265×	body	80	nan