Details

sample226.0ms

Algorithm

intervals

Results

133.0ms	1738×	body	80	nan
24.0ms	257×	body	80	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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))

rewrite151.0ms

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:

29.0ms	(- (+ (log (+ x y)) (log z)) t)
102.0ms	(+ (- (+ (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))

series486.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(- (+ (log (+ x y)) (log z)) t)
195.0ms	(+ (- (+ (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))

simplify61.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

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

prune381.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

3.0ms	(- (log z) t)
65.0ms	(+ (+ (log (+ x y)) (- (log z) t)) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
17.0ms	(+ (log (+ x y)) (- (log z) t))

series496.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (log z) t)
203.0ms	(+ (+ (log (+ x y)) (- (log z) t)) (* (- a 0.5) (log t)))
55.0ms	(* (- a 0.5) (log t))
173.0ms	(+ (log (+ x y)) (- (log z) t))

simplify61.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	635	970
1	2227	914
2	5002	896

prune401.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t)) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.2b	(+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t))
0.5b	(+ (log (+ x y)) (log (sqrt z)))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

195.0ms	(+ (+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t)) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
42.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t))
7.0ms	(+ (log (+ x y)) (log (sqrt z)))

series712.0ms

Counts

4 → 12

Calls

4 calls:

309.0ms	(+ (+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t)) (* (- a 0.5) (log t)))
66.0ms	(* (- a 0.5) (log t))
179.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (- (log (sqrt z)) t))
157.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify123.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	1080	2488
1	4725	2368
2	5002	2348

prune567.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

23.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))

series590.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
142.0ms	(cbrt (+ x y))
138.0ms	(cbrt (+ x y))
131.0ms	(cbrt (+ x y))

simplify145.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	246	671
1	881	634
2	4190	584
3	5001	580

prune438.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes449.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms

sample7.0s

Algorithm

intervals

Results

4.2s	56411×	body	80	nan
740.0ms	8034×	body	80	valid