Details

sample324.0ms

Algorithm

intervals

Results

177.0ms	1913×	body	80	nan
20.0ms	256×	body	80	valid

simplify790.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

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))

rewrite449.0ms

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:

82.0ms	(- (+ (log (+ x y)) (log z)) t)
26.0ms	(* (- a 0.5) (log t))
320.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
18.0ms	(+ (log (+ x y)) (log z))

series662.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(- (+ (log (+ x y)) (log z)) t)
76.0ms	(* (- a 0.5) (log t))
282.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
91.0ms	(+ (log (+ x y)) (log z))

simplify1.0s

Counts: 114 → 114

prune571.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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	(+ (pow (- (+ (log (+ x y)) (log z)) t) 1) (* (- a 0.5) (log t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite732.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

98.0ms	(- (+ (log (+ x y)) (log z)) t)
43.0ms	(* (- a 0.5) (log t))
568.0ms	(+ (pow (- (+ (log (+ x y)) (log z)) t) 1) (* (- a 0.5) (log t)))
17.0ms	(+ (log (+ x y)) (log z))

series756.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(- (+ (log (+ x y)) (log z)) t)
81.0ms	(* (- a 0.5) (log t))
306.0ms	(+ (pow (- (+ (log (+ x y)) (log z)) t) 1) (* (- a 0.5) (log t)))
110.0ms	(+ (log (+ x y)) (log z))

simplify819.0ms

Counts: 104 → 104

prune670.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (- 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)

rewrite71.0ms

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:

39.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
25.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series906.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
135.0ms	(+ (log (+ x y)) (log z))
259.0ms	(cbrt t)
264.0ms	(cbrt t)

simplify994.0ms

Counts: 110 → 110

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (- a 0.5) (* 2 (log (pow t 1/3)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
5.1b	(pow t 1/3)

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

47×	`log-prod`
34×	`distribute-rgt-in` `distribute-lft-in`
32×	`associate-+l+`
27×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`unpow-prod-down` `associate-+r+`
9×	`pow1` `cbrt-prod`
8×	`associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
5×	`add-exp-log` `sqr-pow`
4×	`flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `sum-log`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp`

Counts

4 → 109

Calls

4 calls:

98.0ms	(+ (* (- a 0.5) (* 2 (log (pow t 1/3)))) (* (- a 0.5) (log (cbrt t))))
26.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
6.0ms	(pow t 1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

325.0ms	(+ (* (- a 0.5) (* 2 (log (pow t 1/3)))) (* (- a 0.5) (log (cbrt t))))
96.0ms	(+ (log (+ x y)) (log z))
322.0ms	(cbrt t)
263.0ms	(pow t 1/3)

simplify1.3s

Counts: 121 → 121

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes807.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.8s

end0.0ms

sample13.0s

Algorithm

intervals

Results

7.0s	55366×	body	80	nan
1.8s	8043×	body	80	valid