Details

sample115.0ms

Algorithm

intervals

Results

45.0ms	727×	body	80	nan
16.0ms	258×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	113	11
4	473	11
5	2030	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (- (* x (log y)) y) z)
0.0b	(- (* x (log y)) y)
0.3b	(* x (log y))

rewrite389.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

261.0ms	(+ (- (- (* x (log y)) y) z) (log t))
82.0ms	(- (- (* x (log y)) y) z)
19.0ms	(- (* x (log y)) y)
19.0ms	(* x (log y))

series255.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (- (- (* x (log y)) y) z) (log t))
47.0ms	(- (- (* x (log y)) y) z)
81.0ms	(- (* x (log y)) y)
64.0ms	(* x (log y))

simplify762.0ms

Counts

110 → 110

Iterations

Useful iterations: done (757.0ms)

Iter	Nodes	Cost
0	167	1160
1	390	1097
2	1387	1042
done	5001	1031

prune512.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
0.0b	(log (sqrt t))
0.0b	(log (sqrt t))
0.3b	(* x (log y))

rewrite917.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`log-prod`
20×	`pow1`
18×	`distribute-lft-out`
16×	`add-sqr-sqrt` `log-pow`
14×	`add-cube-cbrt`
11×	`add-log-exp`
9×	`sqrt-prod`
8×	`add-exp-log`
7×	`sum-log`
6×	`associate-+r+` `add-cbrt-cube`
4×	`associate-r` `distribute-lft-out--`
3×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-l`
2×	`associate-+l-` `sqrt-pow1` `pow1/2` `rem-log-exp`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

891.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
2.0ms	(log (sqrt t))
2.0ms	(log (sqrt t))
15.0ms	(* x (log y))

series279.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
67.0ms	(log (sqrt t))
75.0ms	(log (sqrt t))
52.0ms	(* x (log y))

simplify605.0ms

Counts

103 → 103

Iterations

Useful iterations: done (600.0ms)

Iter	Nodes	Cost
0	157	1174
1	362	1068
2	1401	951
done	5000	932

prune413.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (cbrt y) (cbrt y))
307.0ms	(cbrt y)
245.0ms	(cbrt y)
338.0ms	(cbrt y)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune407.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
4.9b	(pow (/ 1 y) -1/3)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-exp` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-flip` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

15.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
8.0ms	(pow (/ 1 y) -1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

330.0ms	(* (cbrt y) (cbrt y))
278.0ms	(cbrt y)
258.0ms	(cbrt y)
283.0ms	(pow (/ 1 y) -1/3)

simplify1.5s

Counts

106 → 106

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	135	788
1	375	620
2	1571	592
done	5002	580

prune529.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes544.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	15	16
done	15	16

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.2s	23930×	body	80	nan
1.2s	8031×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid