Details

sample360.0ms

Algorithm

intervals

Results

191.0ms	1923×	body	80	nan
22.0ms	256×	body	80	valid

simplify10.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	61	15
3	155	15
4	356	15
5	858	15
6	1598	15
7	2194	15
8	2618	15
9	2630	15
done	2630	15

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

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))
0.6b	(+ (log (+ x y)) (log z))

rewrite486.0ms

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:

104.0ms	(- (+ (log (+ x y)) (log z)) t)
305.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
40.0ms	(* (- a 0.5) (log t))
29.0ms	(+ (log (+ x y)) (log z))

series846.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(- (+ (log (+ x y)) (log z)) t)
387.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
92.0ms	(* (- a 0.5) (log t))
125.0ms	(+ (log (+ x y)) (log z))

simplify2.3s

Counts

184 → 184

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	270	2956
1	704	2524
2	2399	2215
done	5000	2161

prune920.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
0.5b	(fma 2 (log (cbrt z)) (log (+ x y)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite22.0ms

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:

16.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
1.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

259.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
210.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
303.0ms	(cbrt z)
287.0ms	(cbrt z)

simplify3.1s

Counts

73 → 73

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	99	750
1	205	706
2	525	648
3	1954	517
done	5002	495

prune551.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
31×	`log-prod`
29×	`add-sqr-sqrt` `associate-+r+`
25×	`add-cube-cbrt`
17×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `prod-diff` `sqrt-prod` `log-pow`
8×	`add-log-exp`
7×	`fma-def` `distribute-lft-out`
6×	`add-exp-log` `associate-r` `add-cbrt-cube`
5×	`associate-+l+` `associate-l` `distribute-lft-out--`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3-+` `associate--l+` `sum-log` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `associate-*l/` `fma-udef`
1×	`associate-+r-` `sub-neg` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

10.0ms	(+ (fma (log (sqrt t)) (- a 0.5) (+ (log (+ x y)) (- (log z) t))) (* (- a 0.5) (log (sqrt t))))
26.0ms	(* (- a 0.5) (log (sqrt t)))
0.0ms	(fma (log (sqrt t)) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))
40.0ms	(+ (log (+ x y)) (- (log z) t))

series822.0ms

Counts

4 → 12

Calls

4 calls:

331.0ms	(+ (fma (log (sqrt t)) (- a 0.5) (+ (log (+ x y)) (- (log z) t))) (* (- a 0.5) (log (sqrt t))))
95.0ms	(* (- a 0.5) (log (sqrt t)))
153.0ms	(fma (log (sqrt t)) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))
243.0ms	(+ (log (+ x y)) (- (log z) t))

simplify1.4s

Counts

138 → 138

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	265	2284
1	613	2129
2	1819	1916
done	5000	1847

prune813.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
30×	`add-cube-cbrt` `prod-diff`
20×	`pow1`
17×	`associate-+r+`
14×	`log-pow`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`sqrt-prod`
8×	`sqrt-pow1` `associate-l`
7×	`log-prod` `distribute-lft-out`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r` `distribute-lft-out--`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `pow1/2` `log1p-expm1-u`
3×	`sub-neg` `associate--l+`
2×	`associate-+l-` `rem-sqrt-square` `log-div` `flip3-+` `associate-*r/` `sum-log` `flip-+`
1×	`+-commutative` `associate-+r-` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `difference-of-squares` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

5.0ms	(sqrt (sqrt t))
58.0ms	(* (log (sqrt (sqrt t))) (- a 0.5))
1.0ms	(fma (log (sqrt t)) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))
54.0ms	(+ (log (+ x y)) (- (log z) t))

series881.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(sqrt (sqrt t))
206.0ms	(* (log (sqrt (sqrt t))) (- a 0.5))
216.0ms	(fma (log (sqrt t)) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))
239.0ms	(+ (log (+ x y)) (- (log z) t))

simplify1.3s

Counts

142 → 142

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	304	2046
1	660	1783
2	1636	1551
done	5000	1496

prune932.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes833.0ms

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	18	22
1	22	22
done	22	22

end0.0ms

sample14.0s

Algorithm

intervals

Results

8.1s	57140×	body	80	nan
1.4s	8030×	body	80	valid