Details

sample333.0ms

Algorithm

intervals

Results

226.0ms	1713×	body	80	nan
32.0ms	259×	body	80	valid

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

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))

rewrite307.0ms

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:

62.0ms	(- (+ (log (+ x y)) (log z)) t)
202.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
25.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

series592.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(- (+ (log (+ x y)) (log z)) t)
228.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
63.0ms	(* (- a 0.5) (log t))
93.0ms	(+ (log (+ x y)) (log z))

simplify900.0ms

Counts

188 → 188

Iterations

Iter	Nodes
done	2002
2	2002
1	747
0	275

prune814.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (+ (log (cbrt z)) (log (cbrt z))) (log (+ y x)))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
27×	`pow1` `log-pow`
26×	`distribute-lft-out`
22×	`fma-def`
13×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`cbrt-prod`
7×	`distribute-rgt-out` `pow1/3`
5×	`add-log-exp`
4×	`expm1-log1p-u` `associate-+r+` `log-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sum-log`
2×	`log-div` `associate-+r-` `distribute-lft1-in` `flip3-+` `distribute-rgt1-in` `flip-+`
1×	`+-commutative` `associate-+l+` `count-2`

Counts

4 → 96

Calls

4 calls:

34.0ms	(+ (+ (log (cbrt z)) (log (cbrt z))) (log (+ y x)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series904.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(+ (+ (log (cbrt z)) (log (cbrt z))) (log (+ y x)))
239.0ms	(cbrt z)
253.0ms	(cbrt z)
223.0ms	(cbrt z)

simplify895.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	2015
3	2015
2	711
1	245
0	94

prune663.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 59

Calls

4 calls:

4.0ms	(cbrt (+ y x))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series857.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (+ y x))
217.0ms	(cbrt z)
242.0ms	(cbrt z)
259.0ms	(cbrt z)

simplify705.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	2002
4	2002
3	1074
2	427
1	168
0	81

prune560.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

20.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
0.0ms	(fma (log t) (- a 0.5) (- (log z) t))

series298.0ms

Counts

2 → 6

Calls

2 calls:

217.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
80.0ms	(fma (log t) (- a 0.5) (- (log z) t))

simplify976.0ms

Counts

44 → 44

Iterations

Iter	Nodes
done	2004
3	2004
2	774
1	279
0	113

prune302.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes1.5s

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	23
1	23
0	18

end0.0ms

sample14.0s

Algorithm

intervals

Results

9.4s	56505×	body	80	nan
1.3s	8032×	body	80	valid