Details

sample322.0ms

Algorithm

intervals

Results

179.0ms	1676×	body	80	nan
31.0ms	257×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1804
4	471
3	157
2	61
1	27
0	15

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `prod-diff`
22×	`add-cube-cbrt`
17×	`pow1` `associate-+r+`
14×	`log-pow`
10×	`log-prod`
7×	`distribute-lft-out`
6×	`associate--l+` `distribute-lft-out--` `add-log-exp`
4×	`associate-+l+` `fma-def` `fma-neg`
3×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
2×	`log-div` `sum-log` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`
1×	`+-commutative` `associate-+r-` `flip3--` `fma-udef` `flip--` `difference-of-squares`

Counts

3 → 94

Calls

3 calls:

8.0ms	(- (log z) t)
0.0ms	(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
32.0ms	(+ (log (+ y x)) (- (log z) t))

series455.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (log z) t)
142.0ms	(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
241.0ms	(+ (log (+ y x)) (- (log z) t))

simplify1.2s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1450
1	440
0	185

prune832.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
23×	`distribute-lft-out`
16×	`pow1`
13×	`log-pow`
8×	`fma-def` `add-log-exp`
7×	`add-sqr-sqrt` `associate-+l+` `log-prod` `sum-log` `add-cube-cbrt`
6×	`distribute-rgt-neg-in`
5×	`associate-+r-`
3×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u`
2×	`neg-sub0` `+-commutative` `log-div` `unsub-neg` `neg-log` `associate-+l-`
1×	`associate-+r+` `fma-udef`

Counts

3 → 77

Calls

3 calls:

16.0ms	(+ (log z) (- t))
0.0ms	(fma (log t) (- a 0.5) (+ (log (+ y x)) (+ (log z) (- t))))
45.0ms	(+ (log (+ y x)) (+ (log z) (- t)))

series418.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (log z) (- t))
134.0ms	(fma (log t) (- a 0.5) (+ (log (+ y x)) (+ (log z) (- t))))
201.0ms	(+ (log (+ y x)) (+ (log z) (- t)))

simplify1.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
2	1551
1	395
0	150

prune650.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

58.0ms	(* (cbrt (+ y x)) (cbrt (+ y x)))
14.0ms	(cbrt (+ y x))
6.0ms	(cbrt (+ y x))
6.0ms	(cbrt (+ y x))

series704.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt (+ y x)) (cbrt (+ y x)))
165.0ms	(cbrt (+ y x))
166.0ms	(cbrt (+ y x))
181.0ms	(cbrt (+ y x))

simplify1.2s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	1129
1	287
0	120

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))
0.6b	(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
0.6b	(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
0.6b	(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))

rewrite13.0ms

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` `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 → 81

Calls

4 calls:

9.0ms	(* (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))
1.0ms	(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
1.0ms	(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
1.0ms	(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))

series3.8s

Counts

4 → 12

Calls

4 calls:

1.1s	(* (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))
984.0ms	(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
876.0ms	(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
888.0ms	(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))

simplify3.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	4479
1	966
0	313

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

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	18
1	18
0	15

end0.0ms

sample10.6s

Algorithm

intervals

Results

6.7s	56219×	body	80	nan
1.2s	8037×	body	80	valid