Details

sample175.0ms

Algorithm

intervals

Results

89.0ms	1861×	body	80	nan
14.0ms	257×	body	80	valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	60	15
3	130	15
4	330	15
5	805	15
6	1457	15
7	2238	15
8	2435	15
9	2442	15
done	2442	15

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite194.0ms

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:

38.0ms	(- (+ (log (+ x y)) (log z)) t)
12.0ms	(* (- a 0.5) (log t))
130.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
7.0ms	(+ (log (+ x y)) (log z))

series597.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(- (+ (log (+ x y)) (log z)) t)
70.0ms	(* (- a 0.5) (log t))
222.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
91.0ms	(+ (log (+ x y)) (log z))

simplify848.0ms

Counts

184 → 184

Iterations

Useful iterations: done (843.0ms)

Iter	Nodes	Cost
0	270	2956
1	693	2524
2	2321	2215
done	5000	2172

prune560.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
0.3b	(fma (log t) (- a 0.5) (- (log z) t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
10×	`pow1`
7×	`log-prod` `log-pow`
5×	`add-log-exp`
4×	`associate-+l+` `fma-def` `fma-neg`
3×	`add-exp-log` `expm1-log1p-u` `associate--l+` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `diff-log` `sum-log` `flip--` `difference-of-squares`

Counts

3 → 72

Calls

3 calls:

5.0ms	(- (log z) t)
6.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
0.0ms	(fma (log t) (- a 0.5) (- (log z) t))

series337.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- (log z) t)
197.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
67.0ms	(fma (log t) (- a 0.5) (- (log z) t))

simplify1.6s

Counts

81 → 81

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	169	1198
1	390	1034
2	967	923
3	3724	874
done	5000	866

prune302.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

0.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
9.0ms	(+ (log (+ x y)) (log z))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series662.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
88.0ms	(+ (log (+ x y)) (log z))
202.0ms	(cbrt t)
203.0ms	(cbrt t)

simplify1.3s

Counts

78 → 78

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	138	767
1	312	737
2	791	650
3	2697	630
done	5000	629

prune382.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (cbrt t))) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
4.9b	(pow t 1/3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
7×	`log-prod`
5×	`add-exp-log` `log-pow` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-+r+`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `sum-log` `fma-udef` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

0.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
9.0ms	(+ (log (+ x y)) (log z))
0.0ms	(cbrt t)
1.0ms	(pow t 1/3)

series637.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
91.0ms	(+ (log (+ x y)) (log z))
202.0ms	(cbrt t)
187.0ms	(pow t 1/3)

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	166	822
1	370	758
2	915	673
3	2994	649
done	5000	648

prune440.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes453.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	32
1	29	32
done	29	32

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.6s	56945×	body	80	nan
452.0ms	8028×	body	80	valid