Details

sample168.0ms

Algorithm

intervals

Results

71.0ms	1641×	body	80	nan
13.0ms	256×	body	80	valid

simplify64.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	9
1	61	8
2	161	8
3	393	8
4	984	8
5	2256	8
6	4095	8
7	5001	8
done	5001	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

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))

rewrite309.0ms

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:

61.0ms	(- (+ (log (+ x y)) (log z)) t)
207.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
22.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (log z))

series510.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(- (+ (log (+ x y)) (log z)) t)
203.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
54.0ms	(* (- a 0.5) (log t))
88.0ms	(+ (log (+ x y)) (log z))

simplify79.0ms

Counts

184 → 184

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	706	1592
1	2722	1253
2	5001	1237
done	5001	1237

prune496.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
18×	`distribute-lft-out`
16×	`pow1`
13×	`log-pow`
11×	`fma-def`
7×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
6×	`associate-+l-` `add-log-exp`
5×	`associate-+l+`
4×	`log-div` `associate-+r+` `flip3-+` `sum-log` `flip-+`
3×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`+-commutative` `fma-udef`

Counts

3 → 70

Calls

3 calls:

44.0ms	(+ (+ (log (+ x y)) (log z)) (fma (log t) (- a 0.5) (- t)))
0.0ms	(fma (log t) (- a 0.5) (- t))
12.0ms	(+ (log (+ x y)) (log z))

series307.0ms

Counts

3 → 9

Calls

3 calls:

196.0ms	(+ (+ (log (+ x y)) (log z)) (fma (log t) (- a 0.5) (- t)))
38.0ms	(fma (log t) (- a 0.5) (- t))
73.0ms	(+ (log (+ x y)) (log z))

simplify90.0ms

Counts

79 → 79

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	360	565
1	1054	530
2	4882	506
3	5001	505
done	5001	505

prune293.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
74×	`distribute-lft-out`
52×	`pow1`
48×	`log-pow`
24×	`fma-def`
16×	`log-prod`
13×	`associate-+r+`
12×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l-`
10×	`sum-log` `add-log-exp`
6×	`log-div` `associate-+l+` `flip3-+` `sqrt-prod` `flip-+`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`+-commutative`
2×	`fma-udef`

Counts

4 → 126

Calls

4 calls:

238.0ms	(+ (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) (fma (log t) (- a 0.5) (- t)))
0.0ms	(fma (log t) (- a 0.5) (- t))
56.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
17.0ms	(+ (log (+ x y)) (log (sqrt z)))

series619.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(+ (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) (fma (log t) (- a 0.5) (- t)))
40.0ms	(fma (log t) (- a 0.5) (- t))
156.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
142.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify51.0ms

Counts

138 → 138

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	546	1143
1	1742	1038
2	5001	1000
done	5001	1000

prune465.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)

rewrite15.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

10.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series752.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (cbrt z) (cbrt z))
182.0ms	(cbrt z)
176.0ms	(cbrt z)
183.0ms	(cbrt z)

simplify89.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255
done	5001	255

prune520.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes605.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	20
1	29	20
done	29	20

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.4s	55886×	body	80	nan
427.0ms	8024×	body	80	valid