Details

sample290.0ms

Algorithm

intervals

Results

132.0ms	1764×	body	80	nan
43.0ms	256×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	59	16
3	149	16
4	442	16
5	1543	16
done	5000	16

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

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))

rewrite485.0ms

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×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
5×	`associate-+l-` `associate-l`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

99.0ms	(- (+ (log (+ x y)) (log z)) t)
314.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
42.0ms	(* (- a 0.5) (log t))
23.0ms	(+ (log (+ x y)) (log z))

series732.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(- (+ (log (+ x y)) (log z)) t)
307.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
99.0ms	(* (- a 0.5) (log t))
96.0ms	(+ (log (+ x y)) (log z))

simplify1.4s

Counts

114 → 114

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	239	1824
1	632	1724
2	2656	1621
done	5001	1615

prune584.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

24.0ms	(- (* (log t) (- a 0.5)) t)
115.0ms	(+ (+ (log (+ x y)) (log z)) (- (* (log t) (- a 0.5)) t))
24.0ms	(* (log t) (- a 0.5))
16.0ms	(+ (log (+ x y)) (log z))

series626.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (* (log t) (- a 0.5)) t)
268.0ms	(+ (+ (log (+ x y)) (log z)) (- (* (log t) (- a 0.5)) t))
149.0ms	(* (log t) (- a 0.5))
118.0ms	(+ (log (+ x y)) (log z))

simplify1.3s

Counts

112 → 112

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	218	1841
1	595	1734
2	2658	1666
done	5002	1655

prune476.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (cbrt t))))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

20×	`frac-add`
19×	`log-prod`
18×	`*-un-lft-identity`
16×	`add-log-exp`
15×	`associate-+r+`
14×	`flip3--` `flip--`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `associate-*l/`
9×	`sum-log`
8×	`pow1` `associate-*r/`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-+l+` `flip3-+` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `associate-+l-` `log-pow` `add-cbrt-cube`
2×	`+-commutative` `log-div` `pow1/3` `diff-log`

Counts

4 → 86

Calls

4 calls:

1.0s	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
21.0ms	(+ (log (+ x y)) (log z))

series1.2s

Counts

4 → 12

Calls

4 calls:

575.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (- a 0.5) (log (cbrt t))))
261.0ms	(cbrt t)
279.0ms	(cbrt t)
104.0ms	(+ (log (+ x y)) (log z))

simplify2.5s

Counts

98 → 98

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	287	3156
1	964	2986
2	4610	2719
done	5001	2700

prune729.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
17×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`log-prod`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-+l+` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt t)
2.0ms	(cbrt (cbrt t))
2.0ms	(cbrt (cbrt t))
14.0ms	(+ (log (+ x y)) (log z))

series1.3s

Counts

4 → 12

Calls

4 calls:

299.0ms	(cbrt t)
437.0ms	(cbrt (cbrt t))
432.0ms	(cbrt (cbrt t))
87.0ms	(+ (log (+ x y)) (log z))

simplify2.1s

Counts

75 → 75

Iterations

Useful iterations: 3 (585.0ms)

Iter	Nodes	Cost
0	110	557
1	224	535
2	631	490
3	3020	479
done	5001	479

prune540.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes542.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	19	16
done	19	16

end0.0ms

sample12.7s

Algorithm

intervals

Results

7.0s	56261×	body	80	nan
1.6s	8031×	body	80	valid