Details

sample167.0ms

Algorithm

intervals

Results

85.0ms	1827×	body	80	nan
14.0ms	257×	body	80	valid

simplify5.5s

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	332	15
5	893	15
6	1661	15
7	2904	15
8	3221	15
9	3228	15
done	3228	15

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`associate-+l+`
27×	`pow1`
23×	`add-cube-cbrt`
22×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
19×	`log-prod`
13×	`fma-def`
10×	`add-log-exp`
9×	`associate-+r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--`
5×	`add-exp-log` `flip3--` `associate-l` `sum-log` `add-cbrt-cube` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `associate-+l-` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `log-div` `diff-log` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

117.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
9.0ms	(+ (log (+ x y)) (log z))

series314.0ms

Counts

3 → 9

Calls

3 calls:

188.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
56.0ms	(* (- a 0.5) (log t))
70.0ms	(+ (log (+ x y)) (log z))

simplify700.0ms

Counts

129 → 129

Iterations

Useful iterations: done (697.0ms)

Iter	Nodes	Cost
0	241	1955
1	642	1788
2	2464	1559
done	5000	1538

prune436.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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:

4.0ms	(- (log z) t)
6.0ms	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
0.0ms	(fma (- a 0.5) (log t) (- (log z) t))

series248.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (log z) t)
136.0ms	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
54.0ms	(fma (- a 0.5) (log t) (- (log z) t))

simplify456.0ms

Counts

81 → 81

Iterations

Useful iterations: done (454.0ms)

Iter	Nodes	Cost
0	170	1198
1	400	1034
2	1178	909
done	5000	867

prune264.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

6.0ms	(+ (fma (* 2 (log (cbrt t))) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)) (* (log (cbrt t)) (- a 0.5)))
7.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
1.0ms	(cbrt t)

series610.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(+ (fma (* 2 (log (cbrt t))) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)) (* (log (cbrt t)) (- a 0.5)))
70.0ms	(+ (log (+ x y)) (log z))
169.0ms	(cbrt t)
170.0ms	(cbrt t)

simplify539.0ms

Counts

107 → 107

Iterations

Useful iterations: done (536.0ms)

Iter	Nodes	Cost
0	214	1808
1	477	1707
2	1410	1488
done	5001	1386

prune493.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt (pow t 2/3))
0.6b	(cbrt (cbrt t))
6.0b	(pow t 2/3)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt t)
1.0ms	(cbrt (pow t 2/3))
1.0ms	(cbrt (cbrt t))
1.0ms	(pow t 2/3)

series763.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt t)
180.0ms	(cbrt (pow t 2/3))
238.0ms	(cbrt (cbrt t))
170.0ms	(pow t 2/3)

simplify780.0ms

Counts

77 → 77

Iterations

Useful iterations: 3 (212.0ms)

Iter	Nodes	Cost
0	101	460
1	182	430
2	437	379
3	1438	365
done	5000	365

prune410.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes485.0ms

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	14	15
1	16	15
done	16	15

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.5s	55403×	body	80	nan
446.0ms	8030×	body	80	valid