Details

sample109.0ms

Algorithm

intervals

Results

53.0ms	118×	body	1280	valid
19.0ms	82×	body	640	valid
13.0ms	373×	pre	80	true
5.0ms	34×	body	320	valid
5.0ms	121×	body	80	valid
2.0ms	18×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	8
2	8
1	7
0	4

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize11.0ms

Local error

Found 1 expressions with local error:

5.8b	(- (exp x) 1)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity`
3×	`add-log-exp`
2×	`difference-of-squares`
1×	`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

1 → 17

Calls

1 calls:

16.0ms

(- (exp x) 1)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(- (exp x) 1)

simplify1.2s

Counts

20 → 20

Iterations

Iter	Nodes
5	2129
4	986
3	409
2	182
1	86
0	42

prune140.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x x) (+ 1/2 (* x 1/6)))
0.3b	(* x 1/6)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 43

Calls

2 calls:

29.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
5.0ms	(* x 1/6)

series136.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
28.0ms	(* x 1/6)

simplify1.8s

Counts

49 → 49

Iterations

Iter	Nodes
3	3789
2	790
1	238
0	81

prune390.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(* (+ (exp x) 1) (exp x))
0.0b	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
5.7b	(+ (exp (* x 3)) -1)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log` `distribute-lft-out`
6×	`pow1`
5×	`difference-of-sqr--1` `flip3-+` `flip-+` `associate-/l*`
4×	`associate-l` `insert-posit16`
3×	`associate-/r` `associate-r*`
2×	`+-commutative` `sum-log` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

7.0ms	(+ (exp x) 1)
46.0ms	(* (+ (exp x) 1) (exp x))
52.0ms	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
17.0ms	(+ (exp (* x 3)) -1)

series165.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (exp x) 1)
37.0ms	(* (+ (exp x) 1) (exp x))
96.0ms	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
19.0ms	(+ (exp (* x 3)) -1)

simplify1.5s

Counts

101 → 101

Iterations

Iter	Nodes
3	3971
2	1160
1	402
0	160

prune451.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (+ -1 (exp (* 3 (* x 3)))) (- (* (exp (* x 3)) (exp (* x 3))) (- -1 (exp (* x 3))))) (+ 1 (* (+ (exp x) 1) (exp x))))
0.0b	(* (exp (* x 3)) (exp (* x 3)))
0.2b	(* 3 (* x 3))
5.7b	(+ -1 (exp (* 3 (* x 3))))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

130×	`times-frac`
102×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
24×	`add-log-exp`
22×	`associate-/l*`
18×	`exp-lft-cube` `exp-prod` `exp-to-pow`
17×	`distribute-lft-out`
16×	`pow1` `add-cbrt-cube` `difference-of-squares`
14×	`add-exp-log`
13×	`pow-prod-down`
10×	`associate-/r/` `pow-sqr` `pow-prod-up`
6×	`associate-l`
5×	`div-inv`
4×	`flip3--` `associate-r` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--`
3×	`cbrt-undiv` `associate-/r*` `swap-sqr` `div-exp`
2×	`flip3-+` `*-commutative` `flip-+`
1×	`pow2` `+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-plus` `unswap-sqr` `associate-/l/`

Counts

4 → 194

Calls

4 calls:

174.0ms	(/ (/ (+ -1 (exp (* 3 (* x 3)))) (- (* (exp (* x 3)) (exp (* x 3))) (- -1 (exp (* x 3))))) (+ 1 (* (+ (exp x) 1) (exp x))))
38.0ms	(* (exp (* x 3)) (exp (* x 3)))
33.0ms	(* 3 (* x 3))
16.0ms	(+ -1 (exp (* 3 (* x 3))))

series222.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(/ (/ (+ -1 (exp (* 3 (* x 3)))) (- (* (exp (* x 3)) (exp (* x 3))) (- -1 (exp (* x 3))))) (+ 1 (* (+ (exp x) 1) (exp x))))
26.0ms	(* (exp (* x 3)) (exp (* x 3)))
26.0ms	(* 3 (* x 3))
20.0ms	(+ -1 (exp (* 3 (* x 3))))

simplify1.1s

Counts

206 → 206

Iterations

Iter	Nodes
2	2346
1	793
0	326

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes19.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	12
1	12
0	8

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.4s	3475×	body	1280	valid
461.0ms	11912×	pre	80	true
429.0ms	2380×	body	640	valid
184.0ms	1310×	body	320	valid
127.0ms	4096×	body	80	valid
50.0ms	651×	body	160	valid