Details

sample154.0ms

Algorithm

intervals

Results

76.0ms	1620×	body	80	nan
14.0ms	256×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	58	16
3	122	16
4	297	16
5	661	16
6	1150	16
7	1881	16
8	2071	16
9	2074	16
done	2074	16

prune3.0ms

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)
0.2b	(+ (- (+ (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))

rewrite151.0ms

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:

29.0ms	(- (+ (log (+ x y)) (log z)) t)
102.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series502.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(- (+ (log (+ x y)) (log z)) t)
198.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
76.0ms	(+ (log (+ x y)) (log z))

simplify625.0ms

Counts

114 → 114

Iterations

Useful iterations: done (622.0ms)

Iter	Nodes	Cost
0	239	1824
1	609	1724
2	2048	1617
done	5001	1609

prune387.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (+ (+ (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)))

rewrite640.0ms

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:

589.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
29.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
7.0ms	(+ (log (+ x y)) (log (sqrt z)))

series699.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
65.0ms	(* (- a 0.5) (log t))
171.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
159.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify723.0ms

Counts

127 → 127

Iterations

Useful iterations: done (719.0ms)

Iter	Nodes	Cost
0	280	2418
1	751	2160
2	2519	1959
done	5000	1957

prune676.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

83.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (+ (- (log (sqrt z)) t) (* (- a 0.5) (log t))))
27.0ms	(+ (- (log (sqrt z)) t) (* (- a 0.5) (log t)))
13.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log (sqrt z)))

series647.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (+ (- (log (sqrt z)) t) (* (- a 0.5) (log t))))
143.0ms	(+ (- (log (sqrt z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
154.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify1.1s

Counts

137 → 137

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	338	3767
1	995	3518
2	4048	3343
done	5000	3339

prune591.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

113.0ms	(+ (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (- (log (sqrt z)) t)) (* (log (cbrt t)) (- a 0.5)))
7.0ms	(+ (log (+ x y)) (log (sqrt z)))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series635.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(+ (+ (* (- a 0.5) (* 2 (log (cbrt t)))) (- (log (sqrt z)) t)) (* (log (cbrt t)) (- a 0.5)))
149.0ms	(+ (log (+ x y)) (log (sqrt z)))
184.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify971.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (298.0ms)

Iter	Nodes	Cost
0	275	2520
1	916	2380
2	3645	2204
done	5000	2204

prune503.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes586.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	38
1	37	38
done	37	38

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.5s	54937×	body	80	nan
449.0ms	8032×	body	80	valid