Details

sample214.0ms

Algorithm

intervals

Results

88.0ms	821×	body	80	nan
18.0ms	36×	body	640	valid
16.0ms	176×	body	80	valid
14.0ms	14×	body	1280	valid
6.0ms	22×	body	320	valid
2.0ms	9×	body	160	valid

simplify203.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b	(* x (log y))
5.7b	(log (- 1.0 y))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 86

Calls

4 calls:

17.0ms	(* z (log (- 1.0 y)))
86.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
9.0ms	(* x (log y))
10.0ms	(log (- 1.0 y))

series325.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* z (log (- 1.0 y)))
116.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
42.0ms	(* x (log y))
54.0ms	(log (- 1.0 y))

simplify714.0ms

Counts: 98 → 98

prune338.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.0b	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.3b	(* x (log y))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

19.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
49.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
86.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
10.0ms	(* x (log y))

series603.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
261.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
112.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
43.0ms	(* x (log y))

simplify798.0ms

Counts: 113 → 113

prune626.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

24.0ms	(* x (* 2 (log (cbrt y))))
16.0ms	(* x (log (cbrt y)))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series879.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* x (* 2 (log (cbrt y))))
124.0ms	(* x (log (cbrt y)))
298.0ms	(cbrt y)
309.0ms	(cbrt y)

simplify1.6s

Counts: 108 → 108

prune588.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 47

Calls

4 calls:

3.0ms	(cbrt (cbrt y))
1.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.3s

Counts

4 → 12

Calls

4 calls:

422.0ms	(cbrt (cbrt y))
268.0ms	(cbrt y)
311.0ms	(cbrt y)
265.0ms	(cbrt y)

simplify2.5s

Counts: 59 → 59

prune586.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes230.0ms

Accuracy

-4.2% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.4s

end0.0ms

sample6.5s

Algorithm

intervals

Results

2.2s	24298×	body	80	nan
979.0ms	5476×	body	80	valid
699.0ms	397×	body	1280	valid
519.0ms	911×	body	640	valid
277.0ms	767×	body	320	valid
79.0ms	478×	body	160	valid