Details

sample239.0ms

Algorithm

intervals

Results

96.0ms	843×	body	80	nan
20.0ms	35×	body	640	valid
18.0ms	175×	body	80	valid
12.0ms	10×	body	1280	valid
8.0ms	23×	body	320	valid
3.0ms	13×	body	160	valid

simplify12.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize15.0ms

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))
6.3b	(log (- 1.0 y))

rewrite125.0ms

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:

15.0ms	(* z (log (- 1.0 y)))
49.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
47.0ms	(* x (log y))
12.0ms	(log (- 1.0 y))

series332.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* z (log (- 1.0 y)))
136.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
44.0ms	(* x (log y))
68.0ms	(log (- 1.0 y))

simplify106.0ms

Counts: 98 → 98

prune394.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

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

rewrite249.0ms

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:

79.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
39.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
107.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
18.0ms	(* x (log y))

series692.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
185.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
182.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
55.0ms	(* x (log y))

simplify220.0ms

Counts: 113 → 113

prune713.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

10.0ms	(* x (log (cbrt y)))
61.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series882.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* x (log (cbrt y)))
154.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
291.0ms	(cbrt y)
293.0ms	(cbrt y)

simplify47.0ms

Counts: 114 → 114

prune947.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
4.0ms	(cbrt (cbrt y))
3.0ms	(cbrt (cbrt y))

series1.4s

Counts

4 → 12

Calls

4 calls:

332.0ms	(cbrt y)
279.0ms	(cbrt y)
404.0ms	(cbrt (cbrt y))
353.0ms	(cbrt (cbrt y))

simplify61.0ms

Counts: 62 → 62

prune730.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes234.0ms

Accuracy

-4.6% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify55.0ms

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.0s	24189×	body	80	nan
491.0ms	5553×	body	80	valid
455.0ms	901×	body	640	valid
321.0ms	388×	body	1280	valid
230.0ms	731×	body	320	valid
111.0ms	458×	body	160	valid