Details

sample157.0ms

Algorithm

intervals

Results

67.0ms	1501×	body	80	nan
14.0ms	257×	body	80	valid

simplify59.0ms

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

localize16.0ms

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))
0.5b	(+ (log (+ x y)) (log z))

rewrite277.0ms

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:

53.0ms	(- (+ (log (+ x y)) (log z)) t)
185.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
24.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (log z))

series453.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(- (+ (log (+ x y)) (log z)) t)
178.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
51.0ms	(* (- a 0.5) (log t))
69.0ms	(+ (log (+ x y)) (log z))

simplify56.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (47.0ms)

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

prune362.0ms

Pruning

8 alts after pruning (8 fresh and 0 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))

rewrite52.0ms

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:

37.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))

series505.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
121.0ms	(cbrt (+ x y))
117.0ms	(cbrt (+ x y))
118.0ms	(cbrt (+ x y))

simplify139.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (131.0ms)

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

prune452.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite842.0ms

Algorithm

rewrite-expression-head

Rules

31×	`log-prod`
28×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
20×	`frac-add`
18×	`add-cube-cbrt`
16×	`pow1` `flip3--` `flip--` `add-log-exp`
15×	`associate-+r+`
14×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
12×	`sqrt-prod`
11×	`associate-r` `associate-l`
10×	`associate-*r/` `log-pow`
9×	`sum-log`
8×	`add-exp-log` `add-cbrt-cube`
5×	`associate-+l+` `flip3-+` `flip-+` `distribute-lft-out`
4×	`associate-+l-`
2×	`+-commutative` `sub-neg` `log-div` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

24.0ms	(* (log (sqrt t)) (- a 0.5))
24.0ms	(* (- a 0.5) (log (sqrt t)))
774.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (- a 0.5) (log (sqrt t))))
14.0ms	(+ (log (+ x y)) (log z))

series460.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (log (sqrt t)) (- a 0.5))
52.0ms	(* (- a 0.5) (log (sqrt t)))
272.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (- a 0.5) (log (sqrt t))))
69.0ms	(+ (log (+ x y)) (log z))

simplify115.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	1030	2099
1	4648	1933
2	5002	1906

prune541.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-pow`
42×	`pow1`
41×	`*-un-lft-identity`
37×	`log-prod`
30×	`sqrt-pow1` `sqrt-prod`
28×	`add-sqr-sqrt`
27×	`associate-r`
20×	`add-cube-cbrt` `pow1/2`
16×	`distribute-rgt-out`
15×	`distribute-lft-out`
10×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `distribute-lft-in` `associate-l`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `sum-log` `flip-+`
4×	`frac-times` `flip3--` `associate-*l/` `distribute-rgt1-in` `flip--`
3×	`associate-+l-`
2×	`+-commutative` `log-div` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`associate-+r-` `diff-log`

Counts

4 → 156

Calls

4 calls:

84.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (+ (log (sqrt t)) (log (sqrt (sqrt t)))))))
27.0ms	(* (- a 0.5) (log (sqrt (sqrt t))))
60.0ms	(* (- a 0.5) (+ (log (sqrt t)) (log (sqrt (sqrt t)))))
16.0ms	(+ (log (sqrt t)) (log (sqrt (sqrt t))))

series866.0ms

Counts

4 → 12

Calls

4 calls:

487.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (+ (log (sqrt t)) (log (sqrt (sqrt t)))))))
98.0ms	(* (- a 0.5) (log (sqrt (sqrt t))))
120.0ms	(* (- a 0.5) (+ (log (sqrt t)) (log (sqrt (sqrt t)))))
159.0ms	(+ (log (sqrt t)) (log (sqrt (sqrt t))))

simplify84.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	858	1673
1	3332	1541
2	5001	1505

prune643.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes473.0ms

Accuracy

0% (0.3b 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	22	15
1	24	15
2	24	15

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.5s	56893×	body	80	nan
436.0ms	8032×	body	80	valid