Details

sample171.0ms

Algorithm

intervals

Results

70.0ms	1641×	body	80	nan
16.0ms	256×	body	80	valid

simplify60.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9
done	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

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))
0.5b	(+ (log (+ x y)) (log z))

rewrite291.0ms

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:

56.0ms	(- (+ (log (+ x y)) (log z)) t)
196.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
23.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (log z))

series510.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(- (+ (log (+ x y)) (log z)) t)
205.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))
74.0ms	(+ (log (+ x y)) (log z))

simplify57.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924
done	5001	924

prune391.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

222.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))
28.0ms	(* (- a 0.5) (log (sqrt t)))
26.0ms	(* (- a 0.5) (log (sqrt t)))
12.0ms	(+ (log (+ x y)) (log z))

series491.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))
55.0ms	(* (- a 0.5) (log (sqrt t)))
61.0ms	(* (- a 0.5) (log (sqrt t)))
75.0ms	(+ (log (+ x y)) (log z))

simplify141.0ms

Counts

149 → 149

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	844	2033
1	4117	1715
2	5002	1697
done	5002	1697

prune526.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- a 0.5) (log (sqrt t)))
0.2b	(* (- a 0.5) (log (sqrt t)))
0.3b	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
0.4b	(+ (log (+ x y)) (log (sqrt z)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
40×	`log-prod`
29×	`pow1` `add-sqr-sqrt`
23×	`log-pow` `distribute-lft-out`
21×	`add-cube-cbrt`
18×	`sqrt-prod`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r`
10×	`associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+l-`
5×	`associate-+l+` `add-log-exp`
4×	`log-div` `flip3-+` `associate-*l/` `sum-log` `flip-+`
2×	`+-commutative` `flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

29.0ms	(* (- a 0.5) (log (sqrt t)))
26.0ms	(* (- a 0.5) (log (sqrt t)))
56.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
14.0ms	(+ (log (+ x y)) (log (sqrt z)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (- a 0.5) (log (sqrt t)))
61.0ms	(* (- a 0.5) (log (sqrt t)))
165.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
142.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify47.0ms

Counts

144 → 144

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	488	1133
1	1478	1010
2	5001	957
done	5001	957

prune725.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt z)) (cbrt (sqrt z)))
0.5b	(cbrt (sqrt z))
0.5b	(cbrt (sqrt z))
0.5b	(cbrt (sqrt z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

18.0ms	(* (cbrt (sqrt z)) (cbrt (sqrt z)))
1.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))

series574.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (sqrt z)) (cbrt (sqrt z)))
147.0ms	(cbrt (sqrt z))
137.0ms	(cbrt (sqrt z))
140.0ms	(cbrt (sqrt z))

simplify102.0ms

Counts

110 → 110

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	148	689
1	554	642
2	3059	585
3	5001	558
done	5001	558

prune479.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes783.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	27
1	30	27
done	30	27

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.6s	55886×	body	80	nan
447.0ms	8024×	body	80	valid