Details

sample238.0ms

Algorithm

intervals

Results

145.0ms	1761×	body	80	nan
25.0ms	256×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

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))

rewrite145.0ms

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)
97.0ms	(+ (- (+ (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))

series483.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(- (+ (log (+ x y)) (log z)) t)
191.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
70.0ms	(+ (log (+ x y)) (log z))

simplify57.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (48.0ms)

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

prune365.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

3.0ms	(- (log z) t)
40.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
20.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
10.0ms	(* (- a 0.5) (log t))

series400.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (log z) t)
193.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
88.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
58.0ms	(* (- a 0.5) (log t))

simplify58.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	643	915
1	2283	856
2	5001	845

prune361.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`log-prod`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-+l+` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 57

Calls

4 calls:

6.0ms	(+ (log (+ x y)) (log z))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series602.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (log (+ x y)) (log z))
175.0ms	(cbrt t)
174.0ms	(cbrt t)
177.0ms	(cbrt t)

simplify95.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	185	279
1	378	255
2	949	246
3	3081	245
4	5002	245

prune318.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.1b	(pow t 1/3)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
7×	`log-prod`
6×	`cbrt-prod`
5×	`add-exp-log` `distribute-lft-out`
4×	`associate-+l+` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-+r+`
2×	`associate-+l-` `log-div` `flip3-+` `pow1/3` `flip-+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sum-log` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

6.0ms	(+ (log (+ x y)) (log z))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(pow t 1/3)

series606.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (log (+ x y)) (log z))
176.0ms	(cbrt t)
181.0ms	(cbrt t)
174.0ms	(pow t 1/3)

simplify53.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	241	284
1	594	251
2	1894	242
3	5003	237

prune324.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes473.0ms

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

sample7.3s

Algorithm

intervals

Results

4.5s	55455×	body	80	nan
801.0ms	8031×	body	80	valid