Details

sample174.0ms

Algorithm

intervals

Results

90.0ms	1853×	body	80	nan
14.0ms	256×	body	80	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

28.0ms	(- (+ (log (+ x y)) (log z)) t)
101.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series489.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(- (+ (log (+ x y)) (log z)) t)
196.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
54.0ms	(* (- a 0.5) (log t))
72.0ms	(+ (log (+ x y)) (log z))

simplify60.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924

prune400.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.4b	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
0.5b	(+ (log (+ x y)) (log (sqrt z)))

rewrite623.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
28×	`log-prod`
24×	`pow1`
23×	`distribute-lft-out`
19×	`add-sqr-sqrt`
18×	`associate-+r+` `log-pow`
15×	`add-cube-cbrt` `add-log-exp`
11×	`sum-log`
8×	`associate-+l+`
7×	`associate-+l-`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-*l/` `sqrt-prod` `add-cbrt-cube`
5×	`flip3--` `flip3-+` `associate-l` `flip--` `flip-+`
4×	`log-div` `associate-r` `frac-add`
3×	`+-commutative` `diff-log`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

573.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
28.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
7.0ms	(+ (log (+ x y)) (log (sqrt z)))

series636.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
54.0ms	(* (- a 0.5) (log t))
160.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
143.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	759	1405
1	2762	1276
2	5002	1251

prune481.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
0.5b	(+ (log (+ x y)) (log (sqrt z)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
23×	`distribute-lft-out`
21×	`pow1`
17×	`log-pow`
16×	`log-prod`
12×	`associate-+r+`
11×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-prod` `associate-+l-` `sqrt-prod`
5×	`associate-+l+` `add-log-exp`
4×	`add-exp-log` `log-div` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `pow1/3`

Counts

4 → 80

Calls

4 calls:

29.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
7.0ms	(+ (log (+ x y)) (log (sqrt z)))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series688.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
152.0ms	(+ (log (+ x y)) (log (sqrt z)))
179.0ms	(cbrt t)
182.0ms	(cbrt t)

simplify79.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	350	629
1	921	566
2	3098	537
3	5002	511

prune441.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (log (+ x y)) (log (+ x y)))
0.5b	(- (log z) (log (+ x y)))
0.7b	(pow (log (+ x y)) 3)
0.7b	(pow (log z) 3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
27×	`pow1`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`log-prod`
14×	`log-pow`
8×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
6×	`pow-unpow` `swap-sqr`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l` `associate--r+` `distribute-lft-out--` `add-log-exp`
3×	`associate--l+` `distribute-lft-out`
2×	`cube-mult` `pow-to-exp` `log-div` `pow-pow` `unpow3` `pow-exp` `associate--r-` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `flip3-+` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

8.0ms	(* (log (+ x y)) (log (+ x y)))
6.0ms	(- (log z) (log (+ x y)))
2.0ms	(pow (log (+ x y)) 3)
2.0ms	(pow (log z) 3)

series740.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (log (+ x y)) (log (+ x y)))
75.0ms	(- (log z) (log (+ x y)))
311.0ms	(pow (log (+ x y)) 3)
181.0ms	(pow (log z) 3)

simplify64.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	346	605
1	1729	516
2	5002	483

prune430.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes531.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	24
1	29	24

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.7s	56762×	body	80	nan
457.0ms	8025×	body	80	valid