Details

sample338.0ms

Algorithm

intervals

Results

177.0ms	1685×	body	80	nan
25.0ms	256×	body	80	valid

simplify7.9s

Counts

1 → 1

Iterations

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

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize92.0ms

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))

rewrite601.0ms

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:

107.0ms	(- (+ (log (+ x y)) (log z)) t)
423.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
35.0ms	(* (- a 0.5) (log t))
18.0ms	(+ (log (+ x y)) (log z))

series1.1s

Counts

4 → 12

Calls

4 calls:

318.0ms	(- (+ (log (+ x y)) (log z)) t)
480.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
110.0ms	(* (- a 0.5) (log t))
176.0ms	(+ (log (+ x y)) (log z))

simplify4.6s

Counts

188 → 188

Iterations

Iter	Nodes
done	5002
2	2583
1	747
0	275

prune2.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize102.0ms

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)

rewrite18.0ms

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:

12.0ms	(+ (fma 2 (log (cbrt z)) (log (+ y x))) (log (cbrt z)))
1.0ms	(fma 2 (log (cbrt z)) (log (+ y x)))
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.4s

Counts

4 → 12

Calls

4 calls:

406.0ms	(+ (fma 2 (log (cbrt z)) (log (+ y x))) (log (cbrt z)))
307.0ms	(fma 2 (log (cbrt z)) (log (+ y x)))
344.0ms	(cbrt z)
346.0ms	(cbrt z)

simplify5.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	2173
2	561
1	216
0	102

prune1.8s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize139.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

56×	`pow1`
53×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
31×	`log-pow`
29×	`log-prod`
18×	`swap-sqr`
16×	`prod-diff`
12×	`associate-r` `associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `fma-neg` `insert-posit16` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `add-log-exp`
3×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `associate--l+` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
2×	`log-div` `associate--r-`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--` `difference-of-squares`

Counts

4 → 170

Calls

4 calls:

15.0ms	(* (log z) (log z))
37.0ms	(* (log (+ y x)) (log (+ y x)))
24.0ms	(* (log (+ y x)) (log (+ y x)))
30.0ms	(- (log z) (log (+ y x)))

series1.2s

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (log z) (log z))
353.0ms	(* (log (+ y x)) (log (+ y x)))
342.0ms	(* (log (+ y x)) (log (+ y x)))
159.0ms	(- (log z) (log (+ y x)))

simplify6.0s

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
3	2749
2	1150
1	414
0	169

prune2.8s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize168.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

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-+l+` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 73

Calls

4 calls:

36.0ms	(+ (log (+ x y)) (log z))
3.0ms	(cbrt t)
3.0ms	(cbrt t)
4.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

155.0ms	(+ (log (+ x y)) (log z))
285.0ms	(cbrt t)
303.0ms	(cbrt t)
334.0ms	(cbrt t)

simplify6.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
4	3858
3	1387
2	525
1	202
0	98

prune1.5s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes5.2s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample12.7s

Algorithm

intervals

Results

7.5s	55303×	body	80	nan
1.1s	8033×	body	80	valid