Details

sample103.0ms

Algorithm

intervals

Results

39.0ms	741×	body	80	nan
10.0ms	32×	body	640	valid
10.0ms	181×	body	80	valid
4.0ms	6×	body	1280	valid
4.0ms	21×	body	320	valid
2.0ms	17×	body	160	valid

simplify8.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	26	17
2	48	17
3	87	17
4	191	17
5	422	17
6	980	17
7	2168	17
8	3155	17
9	3303	17
10	3314	17
done	3314	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.1b	(* (- x 1.0) (log y))
5.7b	(log (- 1.0 y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-*l/`
11×	`pow1`
10×	`associate-+r+` `associate-l`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
7×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`associate-+l+` `add-log-exp`
4×	`frac-add`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 109

Calls

4 calls:

14.0ms	(* (- z 1.0) (log (- 1.0 y)))
12.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
11.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series266.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (- z 1.0) (log (- 1.0 y)))
121.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
58.0ms	(* (- x 1.0) (log y))
46.0ms	(log (- 1.0 y))

simplify691.0ms

Counts

121 → 121

Iterations

Useful iterations: done (687.0ms)

Iter	Nodes	Cost
0	253	1844
1	632	1748
2	2315	1592
done	5001	1590

prune378.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.1b	(* (- x 1.0) (log y))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

13.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
38.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
34.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
13.0ms	(* (- x 1.0) (log y))

series503.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
238.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
65.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
54.0ms	(* (- x 1.0) (log y))

simplify1.1s

Counts

141 → 141

Iterations

Useful iterations: 2 (279.0ms)

Iter	Nodes	Cost
0	319	5151
1	894	4731
2	4281	4577
done	5000	4577

prune629.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 1.0) (log (cbrt y)))
0.3b	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt` `associate-+l+`
12×	`associate-+r+`
10×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`flip3--` `associate-r` `associate-l` `flip--`
4×	`frac-add`
3×	`pow1/3`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

12.0ms	(* (- x 1.0) (log (cbrt y)))
17.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series632.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (- x 1.0) (log (cbrt y)))
166.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
171.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify824.0ms

Counts

122 → 122

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	206	1878
1	500	1503
2	2203	1331
done	5001	1331

prune660.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (- (* 0.5 (pow y 2)) (+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2)))))) t)
0.0b	(+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))
0.1b	(* (- x 1.0) (log y))
7.4b	(* z (pow y 2))

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`add-log-exp`
15×	`*-un-lft-identity`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt`
8×	`associate-l` `add-cbrt-cube`
7×	`pow1`
6×	`log-prod` `diff-log`
5×	`sum-log` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`flip3--` `associate-l/` `-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unpow2` `difference-of-squares` `sqr-pow`
1×	`+-commutative` `associate--l-` `pow-to-exp` `associate-+r-` `sub-neg` `flip3-+` `pow-prod-down` `pow-exp` `associate--l+` `log-pow` `flip-+`

Counts

4 → 86

Calls

4 calls:

306.0ms	(- (+ (* (- x 1.0) (log y)) (- (* 0.5 (pow y 2)) (+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2)))))) t)
6.0ms	(+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))
11.0ms	(* (- x 1.0) (log y))
6.0ms	(* z (pow y 2))

series300.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(- (+ (* (- x 1.0) (log y)) (- (* 0.5 (pow y 2)) (+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2)))))) t)
90.0ms	(+ (* 1.0 (* z y)) (* 0.5 (* z (pow y 2))))
58.0ms	(* (- x 1.0) (log y))
29.0ms	(* z (pow y 2))

simplify612.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	194	1653
1	470	1589
2	1761	1438
done	5001	1438

prune294.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	40
1	35	40
done	35	40

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	24144×	body	80	nan
323.0ms	5858×	body	80	valid
239.0ms	784×	body	640	valid
164.0ms	268×	body	1280	valid
131.0ms	698×	body	320	valid
49.0ms	416×	body	160	valid