Details

sample69.0ms

Algorithm

intervals

Results

35.0ms	91×	body	1280	valid
10.0ms	198×	body	80	valid
8.0ms	36×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	11×	body	160	valid

simplify6.2s

Counts

1 → 1

Iterations

Iter	Nodes
8	6784
7	1297
6	376
5	135
4	56
3	29
2	19
1	14
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.5b	(- (exp (* a x)) 1)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-log-exp`
5×	`*-un-lft-identity`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `difference-of-squares`
1×	`exp-prod` `sub-neg` `flip3--` `exp-to-pow` `diff-log` `difference-of-sqr-1` `flip--` `distribute-lft-out--` `rem-exp-log`

Counts

2 → 28

Calls

2 calls:

4.0ms	(exp (* a x))
11.0ms	(- (exp (* a x)) 1)

series52.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(exp (* a x))
38.0ms	(- (exp (* a x)) 1)

simplify1.2s

Counts

34 → 34

Iterations

Iter	Nodes
4	3037
3	891
2	297
1	117
0	56

prune280.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (* a x) (* a x)) (* a x)) 1/6)
0.2b	(* (* a x) (* a x))
0.2b	(* (* 1/2 (* a x)) (* a x))
14.3b	(+ (* (* 1/2 (* a x)) (* a x)) (+ (* a x) (* (* (* (* a x) (* a x)) (* a x)) 1/6)))

rewrite490.0ms

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
90×	`add-cbrt-cube` `add-exp-log`
74×	`pow-prod-down`
65×	`prod-exp` `cbrt-unprod`
9×	`add-log-exp`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`pow-sqr` `pow-prod-up` `insert-posit16`
3×	`sum-log` `associate-l` `*-commutative`
2×	`pow-plus`
1×	`pow2` `+-commutative` `associate-+r+` `flip3-+` `swap-sqr` `flip-+`

Counts

4 → 124

Calls

4 calls:

310.0ms	(* (* (* (* a x) (* a x)) (* a x)) 1/6)
29.0ms	(* (* a x) (* a x))
76.0ms	(* (* 1/2 (* a x)) (* a x))
73.0ms	(+ (* (* 1/2 (* a x)) (* a x)) (+ (* a x) (* (* (* (* a x) (* a x)) (* a x)) 1/6)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (* (* (* a x) (* a x)) (* a x)) 1/6)
49.0ms	(* (* a x) (* a x))
61.0ms	(* (* 1/2 (* a x)) (* a x))
129.0ms	(+ (* (* 1/2 (* a x)) (* a x)) (+ (* a x) (* (* (* (* a x) (* a x)) (* a x)) 1/6)))

simplify788.0ms

Counts

136 → 136

Iterations

Iter	Nodes
2	2113
1	528
0	169

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1))
3.5b	(- (exp (* a x)) 1)
3.5b	(- (exp (* a x)) 1)
3.5b	(- (exp (* a x)) 1)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`difference-of-squares`
7×	`cbrt-prod`
5×	`add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `difference-of-sqr-1` `add-exp-log` `insert-posit16` `flip--` `distribute-lft-out--`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 69

Calls

4 calls:

6.0ms	(cbrt (- (exp (* a x)) 1))
11.0ms	(- (exp (* a x)) 1)
11.0ms	(- (exp (* a x)) 1)
23.0ms	(- (exp (* a x)) 1)

series308.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (- (exp (* a x)) 1))
55.0ms	(- (exp (* a x)) 1)
48.0ms	(- (exp (* a x)) 1)
46.0ms	(- (exp (* a x)) 1)

simplify3.3s

Counts

81 → 81

Iterations

Iter	Nodes
4	5275
3	1408
2	433
1	174
0	82

prune969.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

3.5b	(- (exp (* a x)) 1)
3.5b	(- (exp (* a x)) 1)
3.5b	(- (exp (* a x)) 1)
3.5b	(- (exp (* a x)) 1)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`add-log-exp`
8×	`difference-of-squares`
4×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--`

Counts

4 → 68

Calls

4 calls:

12.0ms	(- (exp (* a x)) 1)
12.0ms	(- (exp (* a x)) 1)
11.0ms	(- (exp (* a x)) 1)
19.0ms	(- (exp (* a x)) 1)

series159.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (exp (* a x)) 1)
41.0ms	(- (exp (* a x)) 1)
38.0ms	(- (exp (* a x)) 1)
36.0ms	(- (exp (* a x)) 1)

simplify1.2s

Counts

80 → 80

Iterations

Iter	Nodes
4	2755
3	857
2	271
1	107
0	48

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

regimes603.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.3b

bsearch2.0ms

simplify19.0ms

Iterations

Iter	Nodes
2	52
1	52
0	35

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.2s	2709×	body	1280	valid
422.0ms	1266×	body	640	valid
373.0ms	5486×	body	80	valid
183.0ms	779×	body	320	valid
51.0ms	416×	body	160	valid