Details

sample440.0ms

Algorithm

intervals

Results

248.0ms	1942×	body	80	nan
26.0ms	257×	body	80	valid

simplify80.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

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 (/ 1.0 2.0)) (log t)))
0.2b	(* (- a (/ 1.0 2.0)) (log t))
0.5b	(+ (log (+ x y)) (log z))

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

59.0ms	(- (+ (log (+ x y)) (log z)) t)
216.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a (/ 1.0 2.0)) (log t)))
71.0ms	(* (- a (/ 1.0 2.0)) (log t))
23.0ms	(+ (log (+ x y)) (log z))

series637.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(- (+ (log (+ x y)) (log z)) t)
233.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a (/ 1.0 2.0)) (log t)))
80.0ms	(* (- a (/ 1.0 2.0)) (log t))
109.0ms	(+ (log (+ x y)) (log z))

simplify73.0ms

Counts: 115 → 115

prune542.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a (/ 1.0 2.0)) (log t))))
0.1b	(+ (- (log z) t) (* (- a (/ 1.0 2.0)) (log t)))
0.2b	(* (- a (/ 1.0 2.0)) (log t))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

8.0ms	(- (log z) t)
90.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a (/ 1.0 2.0)) (log t))))
68.0ms	(+ (- (log z) t) (* (- a (/ 1.0 2.0)) (log t)))
69.0ms	(* (- a (/ 1.0 2.0)) (log t))

series585.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(- (log z) t)
294.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a (/ 1.0 2.0)) (log t))))
112.0ms	(+ (- (log z) t) (* (- a (/ 1.0 2.0)) (log t)))
78.0ms	(* (- a (/ 1.0 2.0)) (log t))

simplify69.0ms

Counts: 111 → 111

prune649.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

19.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

346.0ms	(* (cbrt z) (cbrt z))
257.0ms	(cbrt z)
292.0ms	(cbrt z)
297.0ms	(cbrt z)

simplify54.0ms

Counts: 85 → 85

prune543.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a (/ 1.0 2.0)) (* 2 (log (cbrt t)))) (* (- a (/ 1.0 2.0)) (log (cbrt t))))
0.5b	(+ (log (+ x y)) (log z))
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite106.0ms

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:

81.0ms	(+ (* (- a (/ 1.0 2.0)) (* 2 (log (cbrt t)))) (* (- a (/ 1.0 2.0)) (log (cbrt t))))
13.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

603.0ms	(+ (* (- a (/ 1.0 2.0)) (* 2 (log (cbrt t)))) (* (- a (/ 1.0 2.0)) (log (cbrt t))))
76.0ms	(+ (log (+ x y)) (log z))
324.0ms	(cbrt t)
319.0ms	(cbrt t)

simplify88.0ms

Counts: 110 → 110

prune792.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes570.0ms

Accuracy

-3.7% (0.2b remaining)

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

bsearch0.0ms

simplify47.0ms

end0.0ms

sample10.7s

Algorithm

intervals

Results

5.9s	56457×	body	80	nan
1.2s	8035×	body	80	valid