Details

sample407.0ms

Algorithm

intervals

Results

280.0ms	1824×	body	80	nan
38.0ms	260×	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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

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))
0.7b	(+ (log (+ x y)) (log z))

rewrite298.0ms

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:

49.0ms	(- (+ (log (+ x y)) (log z)) t)
201.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
32.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

series867.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(- (+ (log (+ x y)) (log z)) t)
341.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
111.0ms	(* (- a 0.5) (log t))
120.0ms	(+ (log (+ x y)) (log z))

simplify844.0ms

Counts

118 → 118

Iterations

Iter	Nodes
2	2260
1	640
0	244

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

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:

6.0ms	(- (log z) t)
28.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
18.0ms	(* (- a 0.5) (log t))
66.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

series674.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(- (log z) t)
152.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
94.0ms	(* (- a 0.5) (log t))
319.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

simplify858.0ms

Counts

114 → 114

Iterations

Iter	Nodes
2	2236
1	668
0	246

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite21.0ms

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:

15.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

367.0ms	(* (cbrt z) (cbrt z))
220.0ms	(cbrt z)
304.0ms	(cbrt z)
251.0ms	(cbrt z)

simplify1.1s

Counts

89 → 89

Iterations

Iter	Nodes
4	2788
3	812
2	309
1	132
0	63

prune1.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
0.1b	(* (log (sqrt t)) (- a 0.5))
0.1b	(* (log (sqrt t)) (- a 0.5))
0.7b	(+ (log (+ x y)) (log z))

rewrite851.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

789.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
19.0ms	(* (log (sqrt t)) (- a 0.5))
24.0ms	(* (log (sqrt t)) (- a 0.5))
17.0ms	(+ (log (+ x y)) (log z))

series704.0ms

Counts

4 → 12

Calls

4 calls:

384.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
107.0ms	(* (log (sqrt t)) (- a 0.5))
113.0ms	(* (log (sqrt t)) (- a 0.5))
100.0ms	(+ (log (+ x y)) (log z))

simplify1.8s

Counts

130 → 130

Iterations

Iter	Nodes
2	3998
1	922
0	275

prune2.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	24
1	24
0	19

end0.0ms

sample14.7s

Algorithm

intervals

Results

9.1s	55993×	body	80	nan
1.4s	8042×	body	80	valid