Details

sample312.0ms

Algorithm

intervals

Results

164.0ms	1917×	body	80	nan
20.0ms	258×	body	80	valid

simplify956.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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))
0.5b	(+ (log (+ x y)) (log z))

rewrite389.0ms

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:

61.0ms	(- (+ (log (+ x y)) (log z)) t)
251.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
33.0ms	(* (- a 0.5) (log t))
41.0ms	(+ (log (+ x y)) (log z))

series833.0ms

Counts

4 → 12

Calls

4 calls:

302.0ms	(- (+ (log (+ x y)) (log z)) t)
328.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
86.0ms	(* (- a 0.5) (log t))
118.0ms	(+ (log (+ x y)) (log z))

simplify1.0s

Counts: 114 → 114

prune627.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
31×	`pow1`
30×	`distribute-lft-out`
22×	`log-pow`
20×	`cbrt-div`
12×	`cbrt-prod`
11×	`flip3-+` `flip-+`
10×	`associate-+l-` `log-div`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow-prod-down` `add-log-exp`
4×	`add-exp-log` `frac-times` `add-cbrt-cube`
3×	`pow1/3` `sum-log`
2×	`associate-+r-` `associate-r/` `associate-l/`
1×	`+-commutative` `associate-+l+` `associate-+r+` `log-prod`

Counts

4 → 81

Calls

4 calls:

144.0ms	(+ (log (* (cbrt (+ x y)) (cbrt (+ x y)))) (+ (log (cbrt (+ x y))) (log z)))
4.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))

series928.0ms

Counts

4 → 12

Calls

4 calls:

352.0ms	(+ (log (* (cbrt (+ x y)) (cbrt (+ x y)))) (+ (log (cbrt (+ x y))) (log z)))
205.0ms	(cbrt (+ x y))
190.0ms	(cbrt (+ x y))
181.0ms	(cbrt (+ x y))

simplify1.3s

Counts: 93 → 93

prune1.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
26×	`*-un-lft-identity`
24×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 98

Calls

4 calls:

78.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
28.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series854.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
107.0ms	(+ (log (+ x y)) (log z))
234.0ms	(cbrt t)
276.0ms	(cbrt t)

simplify1.0s

Counts: 110 → 110

prune921.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt t)
2.0ms	(cbrt t)
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

326.0ms	(cbrt t)
332.0ms	(cbrt t)
325.0ms	(cbrt t)
360.0ms	(cbrt t)

simplify1.5s

Counts: 56 → 56

prune529.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes736.0ms

Accuracy

-0% (0.3b remaining)

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

bsearch0.0ms

simplify1.1s

end0.0ms

sample13.6s

Algorithm

intervals

Results

8.0s	57603×	body	80	nan
1.1s	8041×	body	80	valid