Details

sample382.0ms

Algorithm

intervals

Results

222.0ms	1858×	body	80	nan
24.0ms	258×	body	80	valid

simplify88.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

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))

rewrite478.0ms

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:

108.0ms	(- (+ (log (+ x y)) (log z)) t)
282.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
24.0ms	(+ (log (+ x y)) (log z))

series770.0ms

Counts

4 → 12

Calls

4 calls:

287.0ms	(- (+ (log (+ x y)) (log z)) t)
284.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
88.0ms	(* (- a 0.5) (log t))
111.0ms	(+ (log (+ x y)) (log z))

simplify72.0ms

Counts: 114 → 114

prune667.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.4b	(+ (log (sqrt (+ x y))) (log z))
0.4b	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

1.2s	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
49.0ms	(* (- a 0.5) (log t))
30.0ms	(+ (log (sqrt (+ x y))) (log z))
47.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))

series796.0ms

Counts

4 → 12

Calls

4 calls:

411.0ms	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
72.0ms	(* (- a 0.5) (log t))
138.0ms	(+ (log (sqrt (+ x y))) (log z))
175.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))

simplify73.0ms

Counts: 130 → 130

prune800.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (log z) (log (sqrt (+ x y))))
0.5b	(* (log (sqrt (+ x y))) (log (sqrt (+ x y))))
0.7b	(pow (log (sqrt (+ x y))) 3)
0.7b	(pow (log z) 3)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

33×	`pow1` `*-un-lft-identity`
26×	`log-pow`
25×	`add-sqr-sqrt`
24×	`log-prod`
21×	`add-cube-cbrt`
12×	`sqrt-prod`
10×	`unpow-prod-down` `cube-prod`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
6×	`pow-unpow` `sqrt-pow1` `pow1/2` `associate-r` `associate-l`
4×	`distribute-lft-out--` `add-log-exp`
3×	`associate--l+` `distribute-lft-out`
2×	`cube-mult` `pow-to-exp` `log-div` `pow-pow` `sqrt-div` `unpow3` `pow-exp` `associate--r-` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `flip3-+` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 133

Calls

4 calls:

21.0ms	(- (log z) (log (sqrt (+ x y))))
29.0ms	(* (log (sqrt (+ x y))) (log (sqrt (+ x y))))
4.0ms	(pow (log (sqrt (+ x y))) 3)
4.0ms	(pow (log z) 3)

series1.0s

Counts

4 → 12

Calls

4 calls:

141.0ms	(- (log z) (log (sqrt (+ x y))))
243.0ms	(* (log (sqrt (+ x y))) (log (sqrt (+ x y))))
412.0ms	(pow (log (sqrt (+ x y))) 3)
243.0ms	(pow (log z) 3)

simplify71.0ms

Counts: 145 → 145

prune761.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

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:

44.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
19.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series774.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
86.0ms	(+ (log (+ x y)) (log z))
245.0ms	(cbrt t)
229.0ms	(cbrt t)

simplify61.0ms

Counts: 110 → 110

prune711.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes714.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify74.0ms

end0.0ms

sample11.8s

Algorithm

intervals

Results

6.6s	56469×	body	80	nan
1.5s	8035×	body	80	valid