Details

sample484.0ms

Algorithm

intervals

Results

328.0ms	1896×	body	80	nan
43.0ms	258×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
7	3740
6	1508
5	890
4	374
3	147
2	59
1	27
0	15

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

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)))
0.2b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`associate-+r+` `log-pow` `distribute-lft-out`
7×	`associate-+l+`
6×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--` `distribute-lft-out--`
5×	`associate-l` `associate-+l-`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `insert-posit16`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

47.0ms	(- (+ (log (+ x y)) (log z)) t)
204.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
23.0ms	(* (- a 0.5) (log t))
18.0ms	(+ (log (+ x y)) (log z))

series705.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(- (+ (log (+ x y)) (log z)) t)
290.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
97.0ms	(* (- a 0.5) (log t))
90.0ms	(+ (log (+ x y)) (log z))

simplify729.0ms

Counts

118 → 118

Iterations

Iter	Nodes
2	2260
1	640
0	244

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.2b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
0.2b	(* (- a 0.5) (log t))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
22×	`log-prod`
19×	`add-sqr-sqrt`
14×	`add-log-exp`
13×	`add-cube-cbrt`
9×	`pow1` `associate-+l+`
7×	`associate-+r+` `sum-log`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `associate--l+` `add-exp-log` `flip--`
5×	`associate-l`
4×	`associate-r` `frac-add` `associate-+l-` `insert-posit16`
3×	`flip3-+` `diff-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`+-commutative` `log-div` `sub-neg` `difference-of-squares`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

12.0ms	(- (log z) t)
63.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
102.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
35.0ms	(* (- a 0.5) (log t))

series562.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- (log z) t)
122.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
290.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
60.0ms	(* (- a 0.5) (log t))

simplify828.0ms

Counts

114 → 114

Iterations

Iter	Nodes
2	2228
1	667
0	246

prune1.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* (- a 0.5) (log t)))
0.1b	(- (+ (log (+ x y)) (log z)) (- t (* (- a 0.5) (log t))))
0.2b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`log-pow` `distribute-lft-out`
8×	`associate--r+`
7×	`diff-log`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
5×	`flip3-+` `flip3--` `associate-l` `flip-+` `flip--`
4×	`log-div` `associate-+l+` `associate-r` `frac-sub` `associate-+l-` `insert-posit16`
3×	`associate-+r+` `sum-log` `sub-neg`
2×	`associate--l-` `associate-*l/` `difference-of-squares`
1×	`+-commutative` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `associate--r-` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

6.0ms	(- t (* (- a 0.5) (log t)))
51.0ms	(- (+ (log (+ x y)) (log z)) (- t (* (- a 0.5) (log t))))
26.0ms	(* (- a 0.5) (log t))
10.0ms	(+ (log (+ x y)) (log z))

series939.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- t (* (- a 0.5) (log t)))
723.0ms	(- (+ (log (+ x y)) (log z)) (- t (* (- a 0.5) (log t))))
80.0ms	(* (- a 0.5) (log t))
79.0ms	(+ (log (+ x y)) (log z))

simplify652.0ms

Counts

118 → 118

Iterations

Iter	Nodes
2	2101
1	618
0	239

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite22.0ms

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×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

16.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
2.0ms	(cbrt t)

series992.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (cbrt t) (cbrt t))
232.0ms	(cbrt t)
254.0ms	(cbrt t)
283.0ms	(cbrt t)

simplify1.1s

Counts

89 → 89

Iterations

Iter	Nodes
4	2748
3	814
2	309
1	132
0	63

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	26
1	26
0	20

end0.0ms

sample14.2s

Algorithm

intervals

Results

9.4s	56174×	body	80	nan
1.2s	8027×	body	80	valid