Details

sample332.0ms

Algorithm

intervals

Results

225.0ms	1799×	body	80	nan
31.0ms	257×	body	80	valid

simplify2.4s

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (log (+ x y)) (log z))
0.2b	(* (- a 0.5) (log t))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.0b	(- (+ (log (+ x y)) (log z)) t)

rewrite290.0ms

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×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--` `distribute-lft-out--`
5×	`associate-l` `associate-+l-`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `insert-posit16`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

Slowest

189.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
43.0ms	(- (+ (log (+ x y)) (log z)) t)
39.0ms	(* (- a 0.5) (log t))
17.0ms	(+ (log (+ x y)) (log z))

series712.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

290.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
246.0ms	(- (+ (log (+ x y)) (log z)) t)
107.0ms	(+ (log (+ x y)) (log z))
69.0ms	(* (- a 0.5) (log t))

simplify958.0ms

Counts: 118 → 118

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

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` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

Slowest

47.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
5.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series757.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

221.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
191.0ms	(cbrt (+ x y))
174.0ms	(cbrt (+ x y))
170.0ms	(cbrt (+ x y))

simplify1.9s

Counts: 111 → 111

prune2.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- a 0.5) (log t))
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.0b	(- (log z) t)

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
22×	`log-prod`
19×	`add-sqr-sqrt`
14×	`add-log-exp`
13×	`add-cube-cbrt`
9×	`pow1` `associate-+l+`
7×	`associate-+r+` `sum-log`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `associate--l+` `add-exp-log` `flip--`
5×	`associate-l`
4×	`associate-r` `frac-add` `associate-+l-` `insert-posit16`
3×	`flip3-+` `diff-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`+-commutative` `log-div` `sub-neg` `difference-of-squares`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

Slowest

115.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
31.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
18.0ms	(* (- a 0.5) (log t))
6.0ms	(- (log z) t)

series933.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

646.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
135.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
83.0ms	(* (- a 0.5) (log t))
68.0ms	(- (log z) t)

simplify1.0s

Counts: 114 → 114

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

Slowest

23.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
6.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))

series705.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

197.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
193.0ms	(cbrt (+ x y))
172.0ms	(cbrt (+ x y))
142.0ms	(cbrt (+ x y))

simplify2.0s

Counts: 111 → 111

prune2.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes883.0ms

Accuracy

0% (0.2b remaining)

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

bsearch6.0ms

end0.0ms

sample14.8s

Algorithm

intervals

Results

10.7s	57172×	body	80	nan
1.5s	8032×	body	80	valid