Details

sample402.0ms

Algorithm

intervals

Results

247.0ms	1691×	body	80	nan
69.0ms	256×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
7	3522
6	1815
5	983
4	411
3	155
2	61
1	27
0	15

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

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))
0.5b	(+ (log (+ x y)) (log z))

rewrite226.0ms

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:

42.0ms	(- (+ (log (+ x y)) (log z)) t)
148.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
21.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (log z))

series678.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(- (+ (log (+ x y)) (log z)) t)
273.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
76.0ms	(* (- a 0.5) (log t))
78.0ms	(+ (log (+ x y)) (log z))

simplify799.0ms

Counts

188 → 188

Iterations

Iter	Nodes
2	2557
1	724
0	275

prune2.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite25.0ms

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:

19.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
2.0ms	(cbrt t)

series961.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ (log (+ x y)) (log z))
276.0ms	(cbrt t)
274.0ms	(cbrt t)
278.0ms	(cbrt t)

simplify5.3s

Counts

85 → 85

Iterations

Iter	Nodes
4	2969
3	1348
2	503
1	201
0	98

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.0b	(pow t 1/3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1`
7×	`log-prod`
6×	`cbrt-prod`
5×	`add-exp-log` `log-pow` `distribute-lft-out`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-+r+` `unpow-prod-down`
2×	`log-div` `flip3-+` `pow1/3` `associate-+l-` `flip-+`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

18.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
4.0ms	(pow t 1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

101.0ms	(+ (log (+ x y)) (log z))
694.0ms	(cbrt t)
299.0ms	(cbrt t)
299.0ms	(pow t 1/3)

simplify3.9s

Counts

92 → 92

Iterations

Iter	Nodes
4	3683
3	1694
2	621
1	259
0	128

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log (+ x y)))
0.6b	(cbrt (log (+ x y)))
0.6b	(cbrt (log (+ x y)))
0.6b	(fma (* (cbrt (log (+ x y))) (cbrt (log (+ x y)))) (cbrt (log (+ x y))) (log z))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `log-pow`
1×	`fma-udef`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (log (+ x y)))
1.0ms	(cbrt (log (+ x y)))
1.0ms	(cbrt (log (+ x y)))
0.0ms	(fma (* (cbrt (log (+ x y))) (cbrt (log (+ x y)))) (cbrt (log (+ x y))) (log z))

series2.8s

Counts

4 → 12

Calls

4 calls:

707.0ms	(cbrt (log (+ x y)))
654.0ms	(cbrt (log (+ x y)))
592.0ms	(cbrt (log (+ x y)))
867.0ms	(fma (* (cbrt (log (+ x y))) (cbrt (log (+ x y)))) (cbrt (log (+ x y))) (log z))

simplify2.0s

Counts

68 → 68

Iterations

Iter	Nodes
5	4459
4	1258
3	460
2	187
1	99
0	58

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	29
1	29
0	22

end0.0ms

sample14.1s

Algorithm

intervals

Results

8.9s	55721×	body	80	nan
2.3s	8024×	body	80	valid