Details

sample820.0ms

Algorithm

intervals

Results

463.0ms	257×	body	80	valid
262.0ms	1832×	body	80	nan

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	2003
7	2003
6	1851
5	984
4	411
3	155
2	61
1	27
0	15

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize54.0ms

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))

rewrite289.0ms

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:

67.0ms	(- (+ (log (+ x y)) (log z)) t)
159.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
34.0ms	(* (- a 0.5) (log t))
24.0ms	(+ (log (+ x y)) (log z))

series663.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(- (+ (log (+ x y)) (log z)) t)
264.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
83.0ms	(* (- a 0.5) (log t))
101.0ms	(+ (log (+ x y)) (log z))

simplify1.1s

Counts

188 → 188

Iterations

Iter	Nodes
done	2002
2	2002
1	747
0	275

prune2.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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)))
0.2b	(fma (log t) (- a 0.5) (- (log z) t))

rewrite16.0ms

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:

7.0ms	(- (log z) t)
8.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
0.0ms	(fma (log t) (- a 0.5) (- (log z) t))

series401.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- (log z) t)
237.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
70.0ms	(fma (log t) (- a 0.5) (- (log z) t))

simplify1.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	2016
3	2016
2	1123
1	415
0	174

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

9.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

347.0ms	(* (cbrt z) (cbrt z))
311.0ms	(cbrt z)
313.0ms	(cbrt z)
314.0ms	(cbrt z)

simplify1.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	2004
4	2004
3	1110
2	364
1	141
0	67

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
9.0ms	(+ (log (+ y x)) (log z))

series977.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt t)
280.0ms	(cbrt t)
296.0ms	(cbrt t)
116.0ms	(+ (log (+ y x)) (log z))

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	2009
4	2009
3	1428
2	525
1	202
0	98

prune1.7s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	18

end0.0ms

sample13.6s

Algorithm

intervals

Results

9.0s	56179×	body	80	nan
1.3s	8021×	body	80	valid