Details

sample415.0ms

Algorithm

intervals

Results

216.0ms	2044×	body	80	nan
26.0ms	256×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	59	16
3	149	16
4	442	16
5	1543	16
done	5000	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

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

rewrite349.0ms

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:

58.0ms	(- (+ (log (+ x y)) (log z)) t)
242.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
31.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

series687.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(- (+ (log (+ x y)) (log z)) t)
291.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
67.0ms	(* (- a 0.5) (log t))
86.0ms	(+ (log (+ x y)) (log z))

simplify1.4s

Counts

114 → 114

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	239	1824
1	632	1724
2	2656	1621
done	5001	1615

prune854.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
0.2b	(* (- a 0.5) (log t))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

10.0ms	(- (log z) t)
51.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
151.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
49.0ms	(* (- a 0.5) (log t))

series527.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (log z) t)
100.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
297.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
67.0ms	(* (- a 0.5) (log t))

simplify1.5s

Counts

110 → 110

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	239	1697
1	657	1595
2	2701	1497
done	5002	1485

prune512.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (sqrt z)) (- (log (sqrt z)) t))
0.1b	(+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t)))
0.1b	(+ (log (+ x y)) (+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t))))
0.2b	(* (- a 0.5) (log t))

rewrite830.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

45.0ms	(+ (log (sqrt z)) (- (log (sqrt z)) t))
246.0ms	(+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t)))
506.0ms	(+ (log (+ x y)) (+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t))))
28.0ms	(* (- a 0.5) (log t))

series735.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ (log (sqrt z)) (- (log (sqrt z)) t))
187.0ms	(+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t)))
370.0ms	(+ (log (+ x y)) (+ (+ (log (sqrt z)) (- (log (sqrt z)) t)) (* (- a 0.5) (log t))))
73.0ms	(* (- a 0.5) (log t))

simplify1.2s

Counts

123 → 123

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	263	2356
1	737	2053
2	3067	1848
done	5001	1825

prune600.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt t))) (- a 0.5))
0.3b	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

57.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
58.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.2s

Counts

4 → 12

Calls

4 calls:

247.0ms	(* (* 2 (log (cbrt t))) (- a 0.5))
369.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
257.0ms	(cbrt t)
281.0ms	(cbrt t)

simplify1.4s

Counts

84 → 84

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	154	1272
1	480	1136
2	2428	897
done	5002	868

prune556.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes455.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	21
1	22	21
done	22	21

end0.0ms

sample11.5s

Algorithm

intervals

Results

6.7s	55897×	body	80	nan
909.0ms	8043×	body	80	valid