Details

sample34.0ms

Algorithm

intervals

Results

13.0ms	83×	body	1280	valid
4.0ms	43×	body	640	valid
3.0ms	193×	body	80	valid
1.0ms	22×	body	320	valid
0.0ms	9×	body	160	valid

simplify59.0ms

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: 29.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.9b	(- (exp (* a x)) 1.0)

rewrite20.0ms

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:

7.0ms	(exp (* a x))
13.0ms	(- (exp (* a x)) 1.0)

series48.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(exp (* a x))
35.0ms	(- (exp (* a x)) 1.0)

simplify40.0ms

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

prune70.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
3.8b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`difference-of-squares`
14×	`*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod` `add-log-exp`
8×	`sqr-pow`
5×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`difference-cubes` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 64

Calls

4 calls:

4.0ms	(exp (* a x))
4.0ms	(exp (* a x))
4.0ms	(exp (* a x))
36.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series98.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(exp (* a x))
13.0ms	(exp (* a x))
13.0ms	(exp (* a x))
59.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify104.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	207	469
1	647	457
2	3082	456
3	5001	456
done	5001	456

prune207.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
3.8b	(- (pow (exp (* a x)) 3/2) (sqrt (pow 1.0 3)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

4.0ms	(exp (* a x))
4.0ms	(exp (* a x))
4.0ms	(exp (* a x))
38.0ms	(- (pow (exp (* a x)) 3/2) (sqrt (pow 1.0 3)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(exp (* a x))
13.0ms	(exp (* a x))
13.0ms	(exp (* a x))
104.0ms	(- (pow (exp (* a x)) 3/2) (sqrt (pow 1.0 3)))

simplify59.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	188	482
1	518	456
2	1758	455
3	5001	454
done	5001	454

prune249.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.3b	(* 3/2 (* a x))
3.8b	(- (exp (* 3/2 (* a x))) (sqrt 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

7.0ms	(exp (* a x))
4.0ms	(exp (* a x))
16.0ms	(* 3/2 (* a x))
22.0ms	(- (exp (* 3/2 (* a x))) (sqrt 1.0))

series101.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(exp (* a x))
13.0ms	(exp (* a x))
19.0ms	(* 3/2 (* a x))
51.0ms	(- (exp (* 3/2 (* a x))) (sqrt 1.0))

simplify95.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	196	305
1	749	267
2	3485	264
3	5001	264
done	5001	264

prune201.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.9b

regimes257.0ms

Accuracy

94.5% (1.2b remaining)

Error of 9.7b against oracle of 8.6b and baseline of 29.7b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	38
1	59	38
done	59	38

end0.0ms

sample945.0ms

Algorithm

intervals

Results

406.0ms	2729×	body	1280	valid
123.0ms	1269×	body	640	valid
105.0ms	5473×	body	80	valid
47.0ms	792×	body	320	valid
16.0ms	398×	body	160	valid