Details

sample335.0ms

Algorithm

intervals

Results

174.0ms	1767×	body	80	nan
23.0ms	258×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	61	15
3	157	15
4	459	15
5	1725	15
done	5001	15

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

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

rewrite524.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
48×	`pow1`
43×	`add-sqr-sqrt`
42×	`prod-diff` `log-pow`
41×	`distribute-lft-out`
35×	`add-cube-cbrt`
28×	`associate-+l+`
19×	`log-prod`
14×	`add-log-exp`
13×	`fma-def`
11×	`distribute-lft-out--`
9×	`associate-+r+`
7×	`fma-neg`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--`
5×	`associate-+l-` `associate-l`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

79.0ms	(- (+ (log (+ x y)) (log z)) t)
375.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
45.0ms	(* (- a 0.5) (log t))
18.0ms	(+ (log (+ x y)) (log z))

series740.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(- (+ (log (+ x y)) (log z)) t)
276.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
80.0ms	(* (- a 0.5) (log t))
130.0ms	(+ (log (+ x y)) (log z))

simplify2.6s

Counts

184 → 184

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	270	2956
1	738	2538
2	3146	2220
done	5001	2163

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`associate-+l+`
25×	`associate-+r+`
22×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`associate-*r/`
7×	`log-prod`
6×	`cbrt-prod` `add-log-exp`
5×	`fma-def` `log-pow` `distribute-lft-out`
4×	`add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `frac-add` `add-cbrt-cube` `flip--` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`
1×	`distribute-rgt-out`

Counts

4 → 119

Calls

4 calls:

83.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
14.0ms	(+ (log (+ x y)) (log z))

series1.2s

Counts

4 → 12

Calls

4 calls:

451.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
331.0ms	(cbrt t)
285.0ms	(cbrt t)
100.0ms	(+ (log (+ x y)) (log z))

simplify2.2s

Counts

131 → 131

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	255	2135
1	709	1805
2	3282	1364
done	5002	1339

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize42.0ms

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

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

133×	`*-un-lft-identity`
99×	`distribute-lft-out`
81×	`pow1`
75×	`log-pow`
47×	`associate-+l+`
40×	`add-sqr-sqrt`
39×	`prod-diff`
34×	`add-cube-cbrt`
28×	`log-prod`
26×	`fma-def`
18×	`associate-+r+`
15×	`add-log-exp`
12×	`distribute-lft-out--`
11×	`sum-log`
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×	`expm1-log1p-u` `log-div` `associate-r` `frac-add` `log1p-expm1-u`
3×	`+-commutative` `diff-log`
2×	`difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 188

Calls

4 calls:

1.8s	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
32.0ms	(* (- a 0.5) (log t))
90.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
26.0ms	(+ (log (+ x y)) (log (sqrt z)))

series917.0ms

Counts

4 → 12

Calls

4 calls:

411.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
82.0ms	(* (- a 0.5) (log t))
249.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
174.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify1.8s

Counts

200 → 200

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	299	3248
1	852	2819
2	3872	2415
done	5000	2342

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a 0.5) (log t))
0.3b	(+ (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt (sqrt z)))) (log (sqrt (sqrt z))))
0.4b	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt (sqrt z))))
0.5b	(+ (log (+ x y)) (log (sqrt z)))

rewrite575.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
103×	`distribute-lft-out`
79×	`pow1`
73×	`log-pow`
34×	`log-prod`
24×	`add-sqr-sqrt` `associate-+r+` `fma-def`
21×	`sqrt-prod`
20×	`add-cube-cbrt`
12×	`associate-+l-`
10×	`sum-log`
7×	`add-log-exp`
6×	`add-exp-log` `log-div` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`+-commutative` `distribute-rgt-in` `distribute-lft-in`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 169

Calls

4 calls:

46.0ms	(* (- a 0.5) (log t))
406.0ms	(+ (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt (sqrt z)))) (log (sqrt (sqrt z))))
99.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt (sqrt z))))
16.0ms	(+ (log (+ x y)) (log (sqrt z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (- a 0.5) (log t))
444.0ms	(+ (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt (sqrt z)))) (log (sqrt (sqrt z))))
341.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt (sqrt z))))
183.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify1.7s

Counts

181 → 181

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	292	2611
1	755	2367
2	3275	2152
done	5001	2077

prune988.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.2b 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	26	27
done	26	27

end0.0ms

sample12.2s

Algorithm

intervals

Results

6.6s	56305×	body	80	nan
1.5s	8040×	body	80	valid