Details

sample340.0ms

Algorithm

intervals

Results

220.0ms	1685×	body	80	nan
30.0ms	256×	body	80	valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3467
6	1851
5	984
4	411
3	155
2	61
1	27
0	15

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

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

rewrite347.0ms

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×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--`
5×	`associate-l` `associate-+l-`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 176

Calls

4 calls:

77.0ms	(- (+ (log (+ x y)) (log z)) t)
223.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
23.0ms	(* (- a 0.5) (log t))
17.0ms	(+ (log (+ x y)) (log z))

series619.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(- (+ (log (+ x y)) (log z)) t)
263.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
64.0ms	(* (- a 0.5) (log t))
90.0ms	(+ (log (+ x y)) (log z))

simplify2.3s

Counts

188 → 188

Iterations

Iter	Nodes
done	5000
2	2589
1	747
0	275

prune989.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`pow1/3` `fma-udef` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `log-pow` `flip-+`

Counts

4 → 65

Calls

4 calls:

10.0ms	(+ (fma 2 (log (cbrt z)) (log (+ y x))) (log (cbrt z)))
0.0ms	(fma 2 (log (cbrt z)) (log (+ y x)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series911.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(+ (fma 2 (log (cbrt z)) (log (+ y x))) (log (cbrt z)))
209.0ms	(fma 2 (log (cbrt z)) (log (+ y x)))
221.0ms	(cbrt z)
232.0ms	(cbrt z)

simplify2.3s

Counts

77 → 77

Iterations

Iter	Nodes
done	5003
3	2090
2	565
1	217
0	102

prune670.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
75×	`prod-diff`
68×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
33×	`distribute-rgt-in` `pow1` `distribute-lft-in`
28×	`associate-+l+`
27×	`log-pow`
25×	`associate-+r+`
21×	`distribute-lft-out`
13×	`fma-def`
12×	`associate-l`
11×	`add-log-exp`
10×	`associate-r`
8×	`add-cbrt-cube` `associate-*r/` `add-exp-log`
7×	`log-prod` `sub-neg` `distribute-lft-out--`
6×	`flip3--` `flip--`
5×	`sum-log`
4×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`flip3-+` `associate-+l-` `flip-+` `difference-of-squares`
2×	`+-commutative` `log-div` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`associate--l+`

Counts

4 → 207

Calls

4 calls:

28.0ms	(* (log (sqrt t)) (- a 0.5))
29.0ms	(* (log (sqrt t)) (- a 0.5))
265.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
13.0ms	(+ (log (+ x y)) (log z))

series588.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (log (sqrt t)) (- a 0.5))
84.0ms	(* (log (sqrt t)) (- a 0.5))
309.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
97.0ms	(+ (log (+ x y)) (log z))

simplify2.5s

Counts

219 → 219

Iterations

Iter	Nodes
done	5002
2	2878
1	816
0	295

prune1.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`cbrt-prod` `pow1`
7×	`log-prod`
5×	`log-pow` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-+r+` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-+l+` `pow1/3`
2×	`log-div` `associate-+r-` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 73

Calls

4 calls:

24.0ms	(+ (log z) (log (+ y x)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series931.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(+ (log z) (log (+ y x)))
288.0ms	(cbrt t)
247.0ms	(cbrt t)
294.0ms	(cbrt t)

simplify2.5s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
4	4026
3	1323
2	519
1	211
0	98

prune761.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	28
1	28
0	23

end0.0ms

sample11.0s

Algorithm

intervals

Results

7.9s	55303×	body	80	nan
989.0ms	8033×	body	80	valid