Details

sample157.0ms

Algorithm

intervals

Results

80.0ms	1740×	body	80	nan
14.0ms	257×	body	80	valid

simplify58.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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))
0.6b	(+ (log (+ x y)) (log z))

rewrite148.0ms

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)
99.0ms	(+ (- (+ (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))

series483.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(- (+ (log (+ x y)) (log z)) t)
192.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
68.0ms	(+ (log (+ x y)) (log z))

simplify58.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

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

prune386.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite534.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

488.0ms	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
23.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
8.0ms	(+ (log (sqrt (+ x y))) (log z))

series581.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))
125.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
113.0ms	(+ (log (sqrt (+ x y))) (log z))

simplify71.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	780	1487
1	2817	1345
2	5001	1330

prune495.0ms

Filtered

130 candidates to 92 candidates (70.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

20.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
8.0ms	(+ (log (sqrt (+ x y))) (log z))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series594.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
109.0ms	(+ (log (sqrt (+ x y))) (log z))
174.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify87.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	368	669
1	977	601
2	3426	576
3	5001	576

prune447.0ms

Filtered

95 candidates to 70 candidates (73.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
0.5b	(+ (log (sqrt (+ x y))) (log z))
0.6b	(cbrt t)
4.9b	(pow t 1/3)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
24×	`distribute-lft-out`
22×	`pow1`
17×	`log-prod` `log-pow`
14×	`associate-+l+`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`sqrt-prod`
6×	`associate-+l-` `log-div` `sqrt-div`
5×	`add-exp-log` `flip3-+` `flip-+` `add-log-exp`
4×	`associate-+r+` `sum-log` `add-cbrt-cube`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
2×	`+-commutative` `associate-+r-`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 90

Calls

4 calls:

20.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
8.0ms	(+ (log (sqrt (+ x y))) (log z))
0.0ms	(cbrt t)
1.0ms	(pow t 1/3)

series586.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
107.0ms	(+ (log (sqrt (+ x y))) (log z))
180.0ms	(cbrt t)
172.0ms	(pow t 1/3)

simplify110.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	424	677
1	1205	603
2	4444	578
3	5002	576

prune529.0ms

Filtered

102 candidates to 72 candidates (70.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes738.0ms

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	22	14
1	22	14

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	55681×	body	80	nan
429.0ms	8024×	body	80	valid