Details

sample358.0ms

Algorithm

intervals

Results

186.0ms	1724×	body	80	nan
25.0ms	257×	body	80	valid

simplify1.1s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite795.0ms

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:

55.0ms	(- (+ (log (+ x y)) (log z)) t)
23.0ms	(* (- a 0.5) (log t))
691.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
23.0ms	(+ (log (+ x y)) (log z))

series818.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(- (+ (log (+ x y)) (log z)) t)
83.0ms	(* (- a 0.5) (log t))
366.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
96.0ms	(+ (log (+ x y)) (log z))

simplify987.0ms

Counts: 114 → 114

prune587.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

1.2s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
43.0ms	(* (log (sqrt t)) (- a 0.5))
56.0ms	(* (log (sqrt t)) (- a 0.5))
22.0ms	(+ (log (+ x y)) (log z))

series679.0ms

Counts

4 → 12

Calls

4 calls:

400.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
85.0ms	(* (log (sqrt t)) (- a 0.5))
95.0ms	(* (log (sqrt t)) (- a 0.5))
99.0ms	(+ (log (+ x y)) (log z))

simplify1.6s

Counts: 126 → 126

prune830.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite904.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

566.0ms	(+ (+ (log (+ x y)) (+ (- (log z) t) (* (log (sqrt t)) (+ (- a 0.5) a)))) (* (log (sqrt t)) (- 0.5)))
125.0ms	(* (log (sqrt t)) (+ (- a 0.5) a))
127.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (log (sqrt t)) (+ (- a 0.5) a))))
83.0ms	(+ (- (log z) t) (* (log (sqrt t)) (+ (- a 0.5) a)))

series1.2s

Counts

4 → 12

Calls

4 calls:

415.0ms	(+ (+ (log (+ x y)) (+ (- (log z) t) (* (log (sqrt t)) (+ (- a 0.5) a)))) (* (log (sqrt t)) (- 0.5)))
104.0ms	(* (log (sqrt t)) (+ (- a 0.5) a))
467.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (log (sqrt t)) (+ (- a 0.5) a))))
230.0ms	(+ (- (log z) t) (* (log (sqrt t)) (+ (- a 0.5) a)))

simplify1.3s

Counts: 106 → 106

prune556.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
12.0ms	(+ (log (+ x y)) (log z))

series851.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt t)
235.0ms	(cbrt t)
252.0ms	(cbrt t)
106.0ms	(+ (log (+ x y)) (log z))

simplify928.0ms

Counts: 69 → 69

prune395.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes920.0ms

Accuracy

8% (0.2b remaining)

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

bsearch0.0ms

simplify570.0ms

end0.0ms

sample11.6s

Algorithm

intervals

Results

6.8s	56762×	body	80	nan
881.0ms	8032×	body	80	valid