Details

sample166.0ms

Algorithm

intervals

Results

85.0ms	1708×	body	80	nan
15.0ms	256×	body	80	valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.2b

localize16.0ms

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)))
0.1b	(* (- a 0.5) (log t))
0.5b	(+ (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:

27.0ms	(- (+ (log (+ x y)) (log z)) t)
102.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
10.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series497.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(- (+ (log (+ x y)) (log z)) t)
196.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
58.0ms	(* (- a 0.5) (log t))
72.0ms	(+ (log (+ x y)) (log z))

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (52.0ms)

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

prune387.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

3.0ms	(- (log z) t)
65.0ms	(+ (+ (log (+ x y)) (- (log z) t)) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (- (log z) t))

series488.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (log z) t)
199.0ms	(+ (+ (log (+ x y)) (- (log z) t)) (* (- a 0.5) (log t)))
62.0ms	(* (- a 0.5) (log t))
170.0ms	(+ (log (+ x y)) (- (log z) t))

simplify68.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	635	970
1	2227	914
2	5002	896

prune379.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (log (+ x y)) (- (log z) t))
0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
33×	`*-un-lft-identity`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
24×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`associate-+r+`
9×	`pow1`
8×	`associate-*l/` `distribute-lft-out` `add-log-exp`
5×	`log-pow`
4×	`add-exp-log` `flip3--` `frac-add` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`flip3-+` `associate--l+` `sum-log` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3`
1×	`associate-+r-` `sub-neg` `diff-log`

Counts

4 → 104

Calls

4 calls:

12.0ms	(+ (log (+ x y)) (- (log z) t))
17.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series704.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(+ (log (+ x y)) (- (log z) t))
172.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
187.0ms	(cbrt t)
180.0ms	(cbrt t)

simplify78.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	633	956
1	2288	832
2	5001	806

prune561.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series727.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt t)
177.0ms	(cbrt t)
188.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify133.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	696	136
4	4103	136
5	5002	136

prune329.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes482.0ms

Accuracy

0% (0.2b 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	19	9
1	19	9

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.9s	56228×	body	80	nan
475.0ms	8025×	body	80	valid