Details

sample248.0ms

Algorithm

intervals

Results

106.0ms	1820×	body	80	nan
18.0ms	257×	body	80	valid

simplify7.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	59	16
3	147	16
4	326	16
5	681	16
6	1213	16
7	1750	16
8	2073	16
9	2076	16
done	2076	16

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

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

rewrite424.0ms

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:

71.0ms	(- (+ (log (+ x y)) (log z)) t)
301.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
28.0ms	(* (- a 0.5) (log t))
20.0ms	(+ (log (+ x y)) (log z))

series795.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(- (+ (log (+ x y)) (log z)) t)
327.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
102.0ms	(* (- a 0.5) (log t))
93.0ms	(+ (log (+ x y)) (log z))

simplify1.2s

Counts

114 → 114

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	239	1824
1	617	1724
2	2130	1617
done	5002	1584

prune645.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (log (cbrt t))))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod`
18×	`*-un-lft-identity`
15×	`associate-+r+`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1` `distribute-rgt-in` `associate-+l+` `distribute-lft-in`
6×	`add-log-exp`
5×	`distribute-lft-out`
4×	`add-exp-log` `flip3--` `associate-r/` `associate-l/` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `sub-neg` `log-div` `pow1/3` `sum-log`

Counts

4 → 77

Calls

4 calls:

57.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (log (cbrt t))))
26.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.0s

Counts

4 → 12

Calls

4 calls:

440.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (log (cbrt t))))
115.0ms	(+ (log (+ x y)) (log z))
232.0ms	(cbrt t)
260.0ms	(cbrt t)

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	199	1302
1	527	1201
2	1700	990
done	5002	984

prune612.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.4b	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
0.5b	(+ (log (+ x y)) (log (sqrt z)))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

1.4s	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
24.0ms	(* (- a 0.5) (log t))
53.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
18.0ms	(+ (log (+ x y)) (log (sqrt z)))

series975.0ms

Counts

4 → 12

Calls

4 calls:

479.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
64.0ms	(* (- a 0.5) (log t))
232.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
199.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify1.5s

Counts

127 → 127

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	280	2418
1	759	2160
2	2605	1959
done	5001	1914

prune594.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

1.2s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t)))) (* (log (sqrt t)) (- a 0.5)))
32.0ms	(* (- a 0.5) (log (sqrt t)))
38.0ms	(* (log (sqrt t)) (- a 0.5))
30.0ms	(+ (log (+ x y)) (log z))

series780.0ms

Counts

4 → 12

Calls

4 calls:

476.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t)))) (* (log (sqrt t)) (- a 0.5)))
80.0ms	(* (- a 0.5) (log (sqrt t)))
112.0ms	(* (log (sqrt t)) (- a 0.5))
111.0ms	(+ (log (+ x y)) (log z))

simplify2.6s

Counts

134 → 134

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	329	3467
1	989	3249
2	4127	3023
done	5000	2993

prune717.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes634.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	27
1	27	27
done	27	27

end0.0ms

sample8.7s

Algorithm

intervals

Results

3.8s	55308×	body	80	nan
679.0ms	8027×	body	80	valid