Details

sample189.0ms

Algorithm

intervals

Results

81.0ms	1901×	body	80	nan
13.0ms	257×	body	80	valid

simplify57.0ms

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: 0.2b

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))

rewrite284.0ms

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:

54.0ms	(- (+ (log (+ x y)) (log z)) t)
189.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
23.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

series503.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(- (+ (log (+ x y)) (log z)) t)
205.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
58.0ms	(* (- a 0.5) (log t))
75.0ms	(+ (log (+ x y)) (log z))

simplify60.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (48.0ms)

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

prune352.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

29.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series665.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
172.0ms	(cbrt z)
168.0ms	(cbrt z)
170.0ms	(cbrt z)

simplify60.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	200	367
1	587	304
2	2130	290
3	5002	289

prune312.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt z))
0.6b	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt (sqrt z))
30.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series671.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (sqrt z))
162.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
175.0ms	(cbrt z)
174.0ms	(cbrt z)

simplify86.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	261	410
1	771	344
2	3042	327
3	5002	322

prune358.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)

rewrite19.0ms

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:

15.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series622.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (log (+ x y)) (log z))
182.0ms	(cbrt t)
183.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify76.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (24.0ms)

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

prune297.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes529.0ms

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	27	19
1	27	19

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.4s	55728×	body	80	nan
418.0ms	8042×	body	80	valid