Details

sample177.0ms

Algorithm

intervals

Results

88.0ms	1827×	body	80	nan
15.0ms	257×	body	80	valid

simplify5.4s

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

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

series161.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
72.0ms	(+ (log (+ x y)) (log z))

simplify651.0ms

Counts

46 → 46

Iterations

Useful iterations: done (649.0ms)

Iter	Nodes	Cost
0	114	567
1	263	548
2	671	490
3	2404	479
done	5000	476

prune198.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
0.4b	(fma 2 (log (cbrt z)) (log (+ x y)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

4.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
0.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series654.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
136.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
169.0ms	(cbrt z)
172.0ms	(cbrt z)

simplify885.0ms

Counts

73 → 73

Iterations

Useful iterations: done (884.0ms)

Iter	Nodes	Cost
0	99	750
1	206	707
2	570	648
3	2297	542
done	5001	541

prune378.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
57×	`prod-diff`
46×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
27×	`associate-+r+`
26×	`associate-+l+`
23×	`pow1`
22×	`distribute-rgt-in` `distribute-lft-in`
18×	`log-pow`
17×	`distribute-lft-out`
10×	`add-log-exp`
7×	`log-prod`
6×	`associate-*r/`
5×	`add-exp-log` `sub-neg` `flip3--` `fma-def` `associate-r` `sum-log` `add-cbrt-cube` `flip--`
4×	`associate-l` `frac-add`
3×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `associate-+l-` `log-div` `diff-log`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 144

Calls

3 calls:

61.0ms	(+ (* (log t) (- a 0.5)) (- (+ (log (+ x y)) (log z)) t))
12.0ms	(* (log t) (- a 0.5))
6.0ms	(+ (log (+ x y)) (log z))

series474.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(+ (* (log t) (- a 0.5)) (- (+ (log (+ x y)) (log z)) t))
300.0ms	(* (log t) (- a 0.5))
73.0ms	(+ (log (+ x y)) (log z))

simplify1.2s

Counts

153 → 153

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	293	2998
1	770	2502
2	2978	2192
done	5001	2188

prune503.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
24×	`prod-diff`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt`
17×	`associate-+r+`
12×	`pow1`
9×	`log-pow`
8×	`add-log-exp`
6×	`log-prod` `associate--l+`
4×	`fma-neg` `distribute-lft-out--`
3×	`add-exp-log` `expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
2×	`sub-neg` `diff-log` `sum-log` `fma-udef`
1×	`+-commutative` `associate-+r-` `associate-+l+` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 85

Calls

3 calls:

4.0ms	(- (log z) t)
11.0ms	(+ (fma (log t) (- a 0.5) (log (+ x y))) (- (log z) t))
0.0ms	(fma (log t) (- a 0.5) (log (+ x y)))

series271.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (log z) t)
93.0ms	(+ (fma (log t) (- a 0.5) (log (+ x y))) (- (log z) t))
116.0ms	(fma (log t) (- a 0.5) (log (+ x y)))

simplify490.0ms

Counts

94 → 94

Iterations

Useful iterations: done (487.0ms)

Iter	Nodes	Cost
0	168	1492
1	394	1287
2	1232	1129
done	5000	1116

prune292.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes626.0ms

Accuracy

0% (0.3b 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	22	40
1	27	40
done	27	40

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.6s	55403×	body	80	nan
459.0ms	8030×	body	80	valid