Details

sample40.0ms

Algorithm

intervals

Results

16.0ms	83×	body	1280	valid
5.0ms	47×	body	640	valid
4.0ms	155×	body	80	valid
2.0ms	26×	body	320	valid
1.0ms	18×	body	160	valid

simplify53.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
5.0b	(- (exp (* a x)) 1.0)

rewrite17.0ms

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:

4.0ms	(exp (* a x))
13.0ms	(- (exp (* a x)) 1.0)

series65.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(exp (* a x))
50.0ms	(- (exp (* a x)) 1.0)

simplify38.0ms

Counts: 30 → 30

prune76.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 12.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
5.0b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite51.0ms

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))

series111.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(exp (* a x))
14.0ms	(exp (* a x))
15.0ms	(exp (* a x))
64.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify103.0ms

Counts: 76 → 76

prune209.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 12.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.2b	(sqrt (pow (exp (* a x)) 3))
0.2b	(sqrt (pow (exp (* a x)) 3))
5.0b	(- (sqrt (pow (exp (* a x)) 3)) (sqrt (pow 1.0 3)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

74×	`sqrt-prod`
56×	`add-sqr-sqrt`
25×	`difference-of-squares`
22×	`unpow-prod-down` `*-un-lft-identity` `cube-prod`
14×	`sqr-pow`
10×	`add-cube-cbrt`
8×	`rem-sqrt-square` `add-log-exp`
6×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`cube-mult` `sqrt-pow1` `pow1/2` `unpow3`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log`

Counts

4 → 103

Calls

4 calls:

4.0ms	(exp (* a x))
6.0ms	(sqrt (pow (exp (* a x)) 3))
6.0ms	(sqrt (pow (exp (* a x)) 3))
53.0ms	(- (sqrt (pow (exp (* a x)) 3)) (sqrt (pow 1.0 3)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(exp (* a x))
43.0ms	(sqrt (pow (exp (* a x)) 3))
42.0ms	(sqrt (pow (exp (* a x)) 3))
109.0ms	(- (sqrt (pow (exp (* a x)) 3)) (sqrt (pow 1.0 3)))

simplify79.0ms

Counts: 115 → 115

prune358.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 12.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
4.7b	(- (pow (* (* (cbrt (exp (* a x))) (cbrt (exp (* a x)))) (cbrt (exp (* a x)))) 3) (pow 1.0 3))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

4.0ms	(exp (* a x))
9.0ms	(exp (* a x))
4.0ms	(exp (* a x))
38.0ms	(- (pow (* (* (cbrt (exp (* a x))) (cbrt (exp (* a x)))) (cbrt (exp (* a x)))) 3) (pow 1.0 3))

series107.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(exp (* a x))
19.0ms	(exp (* a x))
14.0ms	(exp (* a x))
59.0ms	(- (pow (* (* (cbrt (exp (* a x))) (cbrt (exp (* a x)))) (cbrt (exp (* a x)))) 3) (pow 1.0 3))

simplify156.0ms

Counts: 64 → 64

prune204.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 12.7b

regimes289.0ms

Accuracy

94% (1.3b remaining)

Error of 9.4b against oracle of 8.1b and baseline of 29.3b

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

622.0ms	2665×	body	1280	valid
232.0ms	5557×	body	80	valid
200.0ms	1319×	body	640	valid
62.0ms	747×	body	320	valid
23.0ms	399×	body	160	valid