Details

sample306.0ms

Algorithm

intervals

Results

157.0ms	1766×	body	80	nan
21.0ms	256×	body	80	valid

simplify47.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

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)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite417.0ms

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:

56.0ms	(- (+ (log (+ x y)) (log z)) t)
286.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
52.0ms	(* (- a 0.5) (log t))
19.0ms	(+ (log (+ x y)) (log z))

series703.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(- (+ (log (+ x y)) (log z)) t)
275.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
68.0ms	(* (- a 0.5) (log t))
96.0ms	(+ (log (+ x y)) (log z))

simplify68.0ms

Counts: 114 → 114

prune656.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

69.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
8.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))

series856.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
187.0ms	(cbrt (+ x y))
235.0ms	(cbrt (+ x y))
213.0ms	(cbrt (+ x y))

simplify60.0ms

Counts: 107 → 107

prune799.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`pow1`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`log-pow` `distribute-lft-out`
5×	`log-prod`
4×	`add-exp-log` `associate-+l+` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `pow-prod-down` `flip-+`
1×	`+-commutative` `associate-+r+` `sum-log`

Counts

4 → 57

Calls

4 calls:

40.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.5s

Counts

4 → 12

Calls

4 calls:

292.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
314.0ms	(cbrt z)
238.0ms	(cbrt z)
609.0ms	(cbrt z)

simplify68.0ms

Counts: 69 → 69

prune567.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)
5.2b	(pow z 1/3)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`pow1`
9×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`log-pow` `distribute-lft-out`
6×	`cbrt-prod`
5×	`add-exp-log` `log-prod`
4×	`associate-+l+` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
2×	`associate-+l-` `log-div` `flip3-+` `pow1/3` `pow-prod-down` `flip-+`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `pow-pow` `unpow1/3` `pow-exp` `sum-log` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

46.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
3.0ms	(pow z 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

242.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
337.0ms	(cbrt z)
273.0ms	(cbrt z)
317.0ms	(pow z 1/3)

simplify66.0ms

Counts: 76 → 76

prune513.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

-0.5% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify62.0ms

end0.0ms

sample13.6s

Algorithm

intervals

Results

7.6s	56459×	body	80	nan
1.5s	8029×	body	80	valid