Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	91×	body	1280	valid
3.0ms	183×	body	80	valid
3.0ms	36×	body	640	valid
2.0ms	25×	body	320	valid
1.0ms	14×	body	160	valid

simplify58.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	26	3
3	48	3
4	110	3
5	318	3
6	1623	3
7	5001	3
done	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.3b	(- (exp (* a x)) 1.0)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 24

Calls

2 calls:

5.0ms	(exp (* a x))
13.0ms	(- (exp (* a x)) 1.0)

series52.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(exp (* a x))
38.0ms	(- (exp (* a x)) 1.0)

simplify39.0ms

Counts

30 → 30

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	115	135
1	333	127
2	1116	125
3	5001	125
done	5001	125

prune71.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 7.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(pow (exp (* a x)) 3)
3.2b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
16×	`difference-of-squares`
15×	`unpow-prod-down` `cube-prod`
11×	`add-log-exp`
9×	`sqr-pow`
7×	`add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `distribute-lft-out--`
4×	`add-exp-log`
3×	`pow-unpow` `exp-prod` `exp-to-pow` `pow-pow`
2×	`rem-exp-log`
1×	`difference-cubes` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `flip--` `rem-cube-cbrt`

Counts

4 → 79

Calls

4 calls:

4.0ms	(exp (* a x))
4.0ms	(exp (* a x))
7.0ms	(pow (exp (* a x)) 3)
41.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series115.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(exp (* a x))
13.0ms	(exp (* a x))
27.0ms	(pow (exp (* a x)) 3)
60.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify40.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	256	538
1	977	520
2	5001	497
done	5001	497

prune225.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.3b	(* (* a x) 3)
3.2b	(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`add-log-exp`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`difference-of-squares`
3×	`difference-cubes` `exp-prod` `exp-to-pow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-exp-log`
1×	`sub-neg` `unpow-prod-down` `exp-lft-cube` `flip3--` `diff-log` `cube-prod` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

4.0ms	(exp (* a x))
4.0ms	(exp (* a x))
21.0ms	(* (* a x) 3)
18.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

series96.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(exp (* a x))
17.0ms	(exp (* a x))
20.0ms	(* (* a x) 3)
45.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify37.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	258	363
1	1078	329
2	5001	325
done	5001	325

prune209.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (* a x)) 6)
0.3b	(* (* a x) 3)
0.3b	(* (* a x) 3)
3.2b	(- (pow (exp (* (* a x) 3)) 3) (pow (pow 1.0 3) 3))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
41×	`unpow-prod-down`
40×	`difference-of-squares`
38×	`cube-prod`
23×	`sqr-pow`
18×	`*-un-lft-identity`
15×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`add-log-exp`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`distribute-lft-out--`
3×	`pow-unpow` `pow-pow`
2×	`associate-l` `*-commutative`
1×	`difference-cubes` `pow-to-exp` `sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `pow-exp` `flip--`

Counts

4 → 113

Calls

4 calls:

7.0ms	(pow (exp (* a x)) 6)
18.0ms	(* (* a x) 3)
19.0ms	(* (* a x) 3)
58.0ms	(- (pow (exp (* (* a x) 3)) 3) (pow (pow 1.0 3) 3))

series140.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(pow (exp (* a x)) 6)
20.0ms	(* (* a x) 3)
20.0ms	(* (* a x) 3)
66.0ms	(- (pow (exp (* (* a x) 3)) 3) (pow (pow 1.0 3) 3))

simplify71.0ms

Counts

125 → 125

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	417	1110
1	1812	1069
2	5001	1063
done	5001	1063

prune421.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.8b

regimes272.0ms

Accuracy

93.4% (1.4b remaining)

Error of 9.6b against oracle of 8.2b and baseline of 29.6b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	88
1	74	88
done	74	88

end0.0ms

sample961.0ms

Algorithm

intervals

Results

402.0ms	2707×	body	1280	valid
124.0ms	1314×	body	640	valid
104.0ms	5397×	body	80	valid
48.0ms	765×	body	320	valid
17.0ms	405×	body	160	valid