Details

sample45.0ms

Algorithm

intervals

Results

14.0ms	95×	body	1280	valid
11.0ms	173×	body	80	valid
5.0ms	42×	body	640	valid
1.0ms	15×	body	320	valid
1.0ms	13×	body	160	valid

simplify699.0ms

Counts: 1 → 1

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))
3.6b	(- (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)

series93.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(exp (* a x))
58.0ms	(- (exp (* a x)) 1.0)

simplify750.0ms

Counts: 30 → 30

prune98.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 7.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
3.6b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite71.0ms

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))
57.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series139.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(exp (* a x))
24.0ms	(exp (* a x))
21.0ms	(exp (* a x))
73.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify1.8s

Counts: 76 → 76

prune298.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 7.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
3.6b	(- (pow (pow (exp (* a x)) 3) 3) (pow (pow 1.0 3) 3))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

156×	`unpow-prod-down` `cube-prod`
144×	`add-sqr-sqrt`
100×	`difference-of-squares`
60×	`sqr-pow`
46×	`*-un-lft-identity`
21×	`distribute-lft-out--`
12×	`add-log-exp`
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 → 164

Calls

4 calls:

4.0ms	(exp (* a x))
7.0ms	(exp (* a x))
8.0ms	(exp (* a x))
195.0ms	(- (pow (pow (exp (* a x)) 3) 3) (pow (pow 1.0 3) 3))

series179.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(exp (* a x))
23.0ms	(exp (* a x))
15.0ms	(exp (* a x))
116.0ms	(- (pow (pow (exp (* a x)) 3) 3) (pow (pow 1.0 3) 3))

simplify989.0ms

Counts: 176 → 176

prune622.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 7.3b

localize101.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.2b	(sqrt (pow (pow (exp (* a x)) 3) 3))
0.2b	(sqrt (pow (pow (exp (* a x)) 3) 3))
3.6b	(- (sqrt (pow (pow (exp (* a x)) 3) 3)) (pow (pow 1.0 3) (/ 3 2)))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

139×	`unpow-prod-down`
124×	`add-sqr-sqrt`
120×	`sqrt-prod`
95×	`cube-prod`
66×	`difference-of-squares`
52×	`sqr-pow`
20×	`rem-sqrt-square` `*-un-lft-identity`
18×	`add-cube-cbrt`
8×	`add-log-exp`
6×	`cube-mult` `unpow3`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`sqrt-pow1` `pow1/2`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--`

Counts

4 → 187

Calls

4 calls:

4.0ms	(exp (* a x))
23.0ms	(sqrt (pow (pow (exp (* a x)) 3) 3))
35.0ms	(sqrt (pow (pow (exp (* a x)) 3) 3))
211.0ms	(- (sqrt (pow (pow (exp (* a x)) 3) 3)) (pow (pow 1.0 3) (/ 3 2)))

series517.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(exp (* a x))
93.0ms	(sqrt (pow (pow (exp (* a x)) 3) 3))
99.0ms	(sqrt (pow (pow (exp (* a x)) 3) 3))
311.0ms	(- (sqrt (pow (pow (exp (* a x)) 3) 3)) (pow (pow 1.0 3) (/ 3 2)))

simplify753.0ms

Counts: 199 → 199

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 7.3b

regimes262.0ms

Accuracy

94.2% (1.2b remaining)

Error of 9.6b against oracle of 8.4b and baseline of 29.1b

bsearch1.0ms

simplify1.6s

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s	2689×	body	1280	valid
294.0ms	5524×	body	80	valid
226.0ms	1296×	body	640	valid
86.0ms	745×	body	320	valid
32.0ms	412×	body	160	valid