Details

sample233.0ms

Algorithm

intervals

Results

140.0ms	1762×	body	80	nan
25.0ms	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: 0.3b

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)))
0.2b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite148.0ms

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:

27.0ms	(- (+ (log (+ x y)) (log z)) t)
101.0ms	(+ (- (+ (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))

series491.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(- (+ (log (+ x y)) (log z)) t)
195.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
59.0ms	(* (- a 0.5) (log t))
72.0ms	(+ (log (+ x y)) (log z))

simplify57.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (47.0ms)

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

prune377.0ms

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

3.0ms	(- (log z) t)
42.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
19.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))

series396.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (log z) t)
197.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
88.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
54.0ms	(* (- a 0.5) (log t))

simplify57.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	643	915
1	2283	856
2	5001	845

prune373.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

109.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t)))))
42.0ms	(+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))
22.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))

series685.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t)))))
249.0ms	(+ (log (sqrt (+ x y))) (+ (- (log z) t) (* (- a 0.5) (log t))))
91.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
55.0ms	(* (- a 0.5) (log t))

simplify72.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	779	1434
1	2793	1317
2	5001	1309

prune498.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (log z) t) (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t)))))
0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

39×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
29×	`associate-+l+`
26×	`*-un-lft-identity`
24×	`cbrt-prod` `associate-*l/` `frac-add`
19×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`flip3--` `flip--`
16×	`add-log-exp`
13×	`associate-+r+`
7×	`sum-log`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
3×	`associate--l+`
2×	`+-commutative` `pow1/3` `diff-log` `distribute-lft-out--`
1×	`associate-+l-` `sub-neg` `log-pow`

Counts

4 → 110

Calls

4 calls:

41.0ms	(+ (- (log z) t) (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t)))))
17.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series704.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(+ (- (log z) t) (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t)))))
172.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
178.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify117.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	852	1867
1	4440	1656
2	5001	1629

prune706.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes431.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample7.2s

Algorithm

intervals

Results

4.5s	57386×	body	80	nan
751.0ms	8023×	body	80	valid