Details

sample55.0ms

Algorithm

intervals

Results

15.0ms	307×	body	80	valid
13.0ms	320×	body	80	nan

simplify47.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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))

rewrite23.0ms

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)))
7.0ms	(* z (log t))

series102.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (- a 0.5) b)
34.0ms	(- (+ (+ 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

prune215.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite25.0ms

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:

9.0ms	(+ (+ x y) (- z (* z (log t))))
6.0ms	(* (- a 0.5) b)
3.0ms	(- z (* z (log t)))
4.0ms	(* z (log t))

series147.0ms

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))

simplify60.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (53.0ms)

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

prune283.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)))

rewrite22.0ms

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:

6.0ms	(- (- 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)))

series427.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(- (- z (* (log (sqrt t)) z)) (* z (log (sqrt t))))
101.0ms	(- z (* (log (sqrt t)) z))
120.0ms	(* (log (sqrt t)) z)
89.0ms	(* z (log (sqrt t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (41.0ms)

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

prune357.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
10.0ms	(* z (- 1 (log (sqrt t))))
9.0ms	(- (* z (- 1 (log (sqrt t)))) (* z (log (sqrt t))))
6.0ms	(* z (log (sqrt t)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- a 0.5) b)
104.0ms	(* z (- 1 (log (sqrt t))))
115.0ms	(- (* z (- 1 (log (sqrt t)))) (* z (log (sqrt t))))
85.0ms	(* z (log (sqrt t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	504	808
1	1948	720
2	5002	695

prune373.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes392.0ms

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

469.0ms	9186×	body	80	valid
407.0ms	9194×	body	80	nan
1.0ms	4×	body	640	valid
0.0ms	1×	body	1280	valid