Details

sample432.0ms

Algorithm

intervals

Results

252.0ms	2011×	body	80	nan
29.0ms	256×	body	80	valid

simplify8.5s

Counts

1 → 1

Iterations

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

prune71.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize153.0ms

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))

rewrite1.1s

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:

246.0ms	(- (+ (log (+ x y)) (log z)) t)
707.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
80.0ms	(* (- a 0.5) (log t))
31.0ms	(+ (log (+ x y)) (log z))

series1.2s

Counts

4 → 12

Calls

4 calls:

419.0ms	(- (+ (log (+ x y)) (log z)) t)
520.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
109.0ms	(* (- a 0.5) (log t))
194.0ms	(+ (log (+ x y)) (log z))

simplify5.7s

Counts

188 → 188

Iterations

Iter	Nodes
done	5002
2	2583
1	747
0	275

prune3.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize139.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `associate--l+` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `associate-+r+` `sum-log` `sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

3 → 75

Calls

3 calls:

24.0ms	(- (log z) t)
49.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
3.0ms	(fma (log t) (- a 0.5) (- (log z) t))

series645.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(- (log z) t)
392.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
133.0ms	(fma (log t) (- a 0.5) (- (log z) t))

simplify7.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	4144
2	1108
1	415
0	174

prune1.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize152.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
18×	`prod-diff`
12×	`associate-+r+`
9×	`add-log-exp`
7×	`pow1`
5×	`fma-udef` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-+l+` `log-prod` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `log-pow` `distribute-lft-out--`
2×	`log-div` `sum-log` `sub-neg` `flip3-+` `diff-log` `associate--l+` `associate-+l-` `flip-+`
1×	`+-commutative` `associate-+r-` `flip3--` `flip--` `associate--r+` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

3.0ms	(fma (log t) 0.5 t)
75.0ms	(+ (log (+ x y)) (- (fma (log t) a (log z)) (fma (log t) 0.5 t)))
3.0ms	(fma (log t) a (log z))
39.0ms	(- (fma (log t) a (log z)) (fma (log t) 0.5 t))

series1.1s

Counts

4 → 12

Calls

4 calls:

312.0ms	(fma (log t) 0.5 t)
451.0ms	(+ (log (+ x y)) (- (fma (log t) a (log z)) (fma (log t) 0.5 t)))
166.0ms	(fma (log t) a (log z))
153.0ms	(- (fma (log t) a (log z)) (fma (log t) 0.5 t))

simplify3.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1356
1	439
0	185

prune2.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize203.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
0.2b	(* (- a 0.5) (log (sqrt t)))
0.2b	(* (- a 0.5) (log (sqrt t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite872.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
43×	`log-prod`
34×	`add-cube-cbrt`
33×	`pow1`
28×	`associate-+l+`
27×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
15×	`associate-+r+`
13×	`fma-def`
12×	`associate-r`
11×	`add-log-exp`
10×	`associate-l`
8×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
7×	`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×	`sub-neg` `associate--l+`

Counts

4 → 177

Calls

4 calls:

623.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
91.0ms	(* (- a 0.5) (log (sqrt t)))
91.0ms	(* (- a 0.5) (log (sqrt t)))
34.0ms	(+ (log (+ x y)) (log z))

series1.1s

Counts

4 → 12

Calls

4 calls:

649.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
119.0ms	(* (- a 0.5) (log (sqrt t)))
105.0ms	(* (- a 0.5) (log (sqrt t)))
178.0ms	(+ (log (+ x y)) (log z))

simplify5.6s

Counts

189 → 189

Iterations

Iter	Nodes
done	5001
2	2523
1	706
0	262

prune3.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes5.0s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample14.8s

Algorithm

intervals

Results

7.7s	56439×	body	80	nan
1.5s	8029×	body	80	valid