Details

sample53.0ms

Algorithm

intervals

Results

14.0ms	307×	body	80	valid
12.0ms	320×	body	80	nan

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

6.0ms	(* (- a 0.5) b)
8.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series105.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- a 0.5) b)
38.0ms	(- (+ (+ x y) z) (* z (log t)))
37.0ms	(* z (log t))

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	342	380
1	1497	335
2	5002	330

prune210.0ms

Filtered

77 candidates to 52 candidates (67.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

7.0ms	(+ (+ x y) (- z (* z (log t))))
6.0ms	(* (- a 0.5) b)
3.0ms	(- z (* z (log t)))
4.0ms	(* z (log t))

series146.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (+ x y) (- z (* z (log t))))
29.0ms	(* (- a 0.5) b)
47.0ms	(- z (* z (log t)))
37.0ms	(* z (log t))

simplify63.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	518	585
1	2153	538
2	5001	529

prune278.0ms

Filtered

101 candidates to 67 candidates (66.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (- z (* (log (sqrt t)) z)) (* z (log (sqrt t))))
0.2b	(- z (* (log (sqrt t)) z))
0.3b	(* (log (sqrt t)) z)
0.3b	(* z (log (sqrt t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
20×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
11×	`add-log-exp`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`log-pow`
4×	`diff-log`
3×	`sub-neg`
2×	`flip3--` `distribute-rgt-out--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-` `distribute-lft-out--`

Counts

4 → 96

Calls

4 calls:

7.0ms	(- (- z (* (log (sqrt t)) z)) (* z (log (sqrt t))))
3.0ms	(- z (* (log (sqrt t)) z))
4.0ms	(* (log (sqrt t)) z)
5.0ms	(* z (log (sqrt t)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(- (- z (* (log (sqrt t)) z)) (* z (log (sqrt t))))
99.0ms	(- z (* (log (sqrt t)) z))
117.0ms	(* (log (sqrt t)) z)
87.0ms	(* z (log (sqrt t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	400	803
1	1561	718
2	5001	649

prune360.0ms

Filtered

108 candidates to 74 candidates (68.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.2b	(* z (- 1 (log (sqrt t))))
0.2b	(- (* z (- 1 (log (sqrt t)))) (* (log (sqrt t)) z))
0.3b	(* (log (sqrt t)) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
8.0ms	(* z (- 1 (log (sqrt t))))
7.0ms	(- (* z (- 1 (log (sqrt t)))) (* (log (sqrt t)) z))
5.0ms	(* (log (sqrt t)) z)

series375.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- a 0.5) b)
107.0ms	(* z (- 1 (log (sqrt t))))
120.0ms	(- (* z (- 1 (log (sqrt t)))) (* (log (sqrt t)) z))
118.0ms	(* (log (sqrt t)) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	425	611
1	1741	550
2	5001	527

prune303.0ms

Filtered

99 candidates to 69 candidates (69.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes387.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	13
1	27	13

end0.0ms

sample1.5s

Algorithm

intervals

Results

444.0ms	9186×	body	80	valid
382.0ms	9194×	body	80	nan
1.0ms	4×	body	640	valid
0.0ms	1×	body	1280	valid