Details

sample398.0ms

Algorithm

intervals

Results

220.0ms	1959×	body	80	nan
26.0ms	256×	body	80	valid

simplify1.2s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite352.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

294.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
43.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (log z))

series509.0ms

Counts

3 → 9

Calls

3 calls:

323.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
95.0ms	(* (- a 0.5) (log t))
91.0ms	(+ (log (+ x y)) (log z))

simplify1.1s

Counts: 89 → 89

prune381.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a (/ 1.0 2.0)) (log t))))
0.1b	(* (- a (/ 1.0 2.0)) (log t))
0.2b	(+ (- (log z) t) (* (- a (/ 1.0 2.0)) (log t)))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
22×	`add-sqr-sqrt` `log-prod`
14×	`add-log-exp`
13×	`add-cube-cbrt`
9×	`pow1` `associate-+l+`
7×	`associate-+r+` `sum-log`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-l` `associate-*l/` `associate--l+` `add-cbrt-cube` `flip--`
4×	`associate-+l-` `associate-r` `frac-add`
3×	`flip3-+` `diff-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
2×	`+-commutative` `sub-neg` `log-div`
1×	`associate-+r-` `times-frac` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

12.0ms	(- (log z) t)
108.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a (/ 1.0 2.0)) (log t))))
46.0ms	(* (- a (/ 1.0 2.0)) (log t))
40.0ms	(+ (- (log z) t) (* (- a (/ 1.0 2.0)) (log t)))

series541.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (log z) t)
296.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a (/ 1.0 2.0)) (log t))))
60.0ms	(* (- a (/ 1.0 2.0)) (log t))
103.0ms	(+ (- (log z) t) (* (- a (/ 1.0 2.0)) (log t)))

simplify953.0ms

Counts: 111 → 111

prune549.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite18.0ms

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:

12.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.0s

Counts

4 → 12

Calls

4 calls:

283.0ms	(* (cbrt t) (cbrt t))
222.0ms	(cbrt t)
261.0ms	(cbrt t)
261.0ms	(cbrt t)

simplify813.0ms

Counts: 85 → 85

prune473.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (pow t 1/3) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.0b	(pow t 1/3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-l`
6×	`associate-r` `unswap-sqr`
5×	`pow1` `pow1/3` `add-cbrt-cube`
4×	`add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `unpow1/3` `pow-exp` `cbrt-unprod`
1×	`pow-pow` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 75

Calls

4 calls:

22.0ms	(* (pow t 1/3) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
3.0ms	(pow t 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

251.0ms	(* (pow t 1/3) (cbrt t))
280.0ms	(cbrt t)
295.0ms	(cbrt t)
275.0ms	(pow t 1/3)

simplify1.4s

Counts: 87 → 87

prune471.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes550.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.4s

end0.0ms

sample10.9s

Algorithm

intervals

Results

6.3s	55271×	body	80	nan
1000.0ms	8032×	body	80	valid