Details

sample331.0ms

Algorithm

intervals

Results

97.0ms	946×	body	80	nan
78.0ms	307×	body	80	valid

simplify1.1s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite3.9s

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp`
25×	`sum-log`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

771.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
3.1s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
47.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

series1.1s

Counts

4 → 12

Calls

4 calls:

287.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
681.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
82.0ms	(* (- b 0.5) (log c))
55.0ms	(* x (log y))

simplify984.0ms

Counts: 107 → 107

prune589.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt c) (cbrt c))
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

17.0ms	(* (cbrt c) (cbrt c))
2.0ms	(cbrt c)
2.0ms	(cbrt c)
2.0ms	(cbrt c)

series1.1s

Counts

4 → 12

Calls

4 calls:

297.0ms	(* (cbrt c) (cbrt c))
244.0ms	(cbrt c)
306.0ms	(cbrt c)
291.0ms	(cbrt c)

simplify871.0ms

Counts: 85 → 85

prune605.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite99.0ms

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:

21.0ms	(* x (log (cbrt y)))
67.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
2.0ms	(cbrt y)
1.0ms	(cbrt y)

series835.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* x (log (cbrt y)))
143.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
277.0ms	(cbrt y)
298.0ms	(cbrt y)

simplify867.0ms

Counts: 114 → 114

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- b 0.5) (log c))
0.3b	(* 3 (log (cbrt y)))
0.3b	(* x (* 3 (log (cbrt y))))
0.6b	(cbrt y)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
33×	`distribute-rgt-in` `distribute-lft-in`
30×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`cbrt-prod`
15×	`pow1`
13×	`add-exp-log` `add-cbrt-cube`
11×	`associate-l`
10×	`associate-r`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`log-pow` `*-commutative`
2×	`pow1/3` `associate-*l/` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

41.0ms	(* (- b 0.5) (log c))
11.0ms	(* 3 (log (cbrt y)))
33.0ms	(* x (* 3 (log (cbrt y))))
1.0ms	(cbrt y)

series907.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (- b 0.5) (log c))
405.0ms	(* 3 (log (cbrt y)))
140.0ms	(* x (* 3 (log (cbrt y))))
290.0ms	(cbrt y)

simplify799.0ms

Counts: 126 → 126

prune841.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.6s

end0.0ms

sample9.4s

Algorithm

intervals

Results

4.4s	27772×	body	80	nan
1.3s	9181×	body	80	valid
3.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid