Details

sample191.0ms

Algorithm

intervals

Results

86.0ms	1807×	body	80	nan
14.0ms	257×	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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
28×	`pow1`
25×	`log-pow` `distribute-lft-out`
21×	`prod-diff`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
7×	`log-prod` `fma-neg`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`associate-+l-` `log-div` `associate-+l+` `fma-def`
3×	`add-exp-log` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate--l-` `diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `fma-udef` `difference-of-squares`

Counts

3 → 92

Calls

3 calls:

63.0ms	(- (+ (log (+ x y)) (log z)) t)
0.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
12.0ms	(+ (log (+ x y)) (log z))

series358.0ms

Counts

3 → 9

Calls

3 calls:

176.0ms	(- (+ (log (+ x y)) (log z)) t)
104.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
78.0ms	(+ (log (+ x y)) (log z))

simplify41.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	388	866
1	1209	661
2	5001	650
done	5001	650

prune293.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

35.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms	(cbrt (+ x y))
6.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))

series578.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
134.0ms	(cbrt (+ x y))
133.0ms	(cbrt (+ x y))
139.0ms	(cbrt (+ x y))

simplify144.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	255	701
1	926	660
2	4357	610
3	5001	610
done	5001	610

prune501.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

9.0ms	(- (log z) t)
0.0ms	(fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))
25.0ms	(+ (log (+ x y)) (- (log z) t))

series343.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(- (log z) t)
101.0ms	(fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))
177.0ms	(+ (log (+ x y)) (- (log z) t))

simplify40.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	420	756
1	1251	585
2	5001	554
done	5001	554

prune314.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

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:

1.0ms	(cbrt (fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t))))
1.0ms	(cbrt (fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t))))
1.0ms	(cbrt (fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t))))
10.0ms	(* (cbrt (fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))))

series3.0s

Counts

4 → 12

Calls

4 calls:

735.0ms	(cbrt (fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t))))
732.0ms	(cbrt (fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t))))
725.0ms	(cbrt (fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t))))
800.0ms	(* (cbrt (fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))))

simplify108.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	927	2545
1	4052	2338
2	5001	2335
done	5001	2335

prune533.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes602.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	16
1	21	16
done	21	16

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.6s	56341×	body	80	nan
446.0ms	8029×	body	80	valid