Details

sample85.0ms

Algorithm

intervals

Results

33.0ms	103×	body	1280	valid
18.0ms	88×	body	640	valid
12.0ms	389×	pre	80	true
5.0ms	41×	body	320	valid
5.0ms	138×	body	80	valid
2.0ms	19×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	8
2	8
1	7
0	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize5.0ms

Local error

Found 1 expressions with local error:

5.2b	(- (exp x) 1)

rewrite14.0ms

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:

13.0ms

(- (exp x) 1)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(- (exp x) 1)

simplify1.5s

Counts

20 → 20

Iterations

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

prune74.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:

47.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
7.0ms	(* x 1/6)

series114.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
30.0ms	(* x 1/6)

simplify1.8s

Counts

49 → 49

Iterations

Iter	Nodes
3	3789
2	790
1	238
0	81

prune140.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

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:

36.0ms	(* (+ (exp x) 1) (exp x))
29.0ms	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
7.0ms	(+ (exp x) 1)
10.0ms	(+ (exp (* x 3)) -1)

series165.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ (exp x) 1) (exp x))
100.0ms	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
10.0ms	(+ (exp x) 1)
19.0ms	(+ (exp (* x 3)) -1)

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
3	3466
2	1098
1	402
0	160

prune432.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(/ (/ (+ -1 (exp (* 3 (* x 3)))) (- (* (exp (* x 3)) (exp (* x 3))) (- -1 (exp (* x 3))))) (+ 1 (* (+ (exp x) 1) (exp x))))
0.2b	(* 3 (* x 3))
5.6b	(+ -1 (exp (* 3 (* x 3))))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

130×	`times-frac`
100×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
22×	`associate-/l*`
18×	`distribute-lft-out`
16×	`difference-of-squares`
14×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/r/`
9×	`pow1`
8×	`add-log-exp`
5×	`div-inv`
4×	`flip3--` `insert-posit16` `flip--`
3×	`cbrt-undiv` `associate-/r` `flip3-+` `div-exp` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `sum-log`
1×	`clear-num` `frac-2neg` `associate-r` `*-commutative` `associate-/l/`

Counts

4 → 154

Calls

4 calls:

7.0ms	(+ (exp x) 1)
144.0ms	(/ (/ (+ -1 (exp (* 3 (* x 3)))) (- (* (exp (* x 3)) (exp (* x 3))) (- -1 (exp (* x 3))))) (+ 1 (* (+ (exp x) 1) (exp x))))
13.0ms	(* 3 (* x 3))
8.0ms	(+ -1 (exp (* 3 (* x 3))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (exp x) 1)
138.0ms	(/ (/ (+ -1 (exp (* 3 (* x 3)))) (- (* (exp (* x 3)) (exp (* x 3))) (- -1 (exp (* x 3))))) (+ 1 (* (+ (exp x) 1) (exp x))))
27.0ms	(* 3 (* x 3))
21.0ms	(+ -1 (exp (* 3 (* x 3))))

simplify1.4s

Counts

166 → 166

Iterations

Iter	Nodes
2	2326
1	803
0	316

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes25.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	12
1	12
0	8

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	3527×	body	1280	valid
522.0ms	2490×	body	640	valid
353.0ms	11915×	pre	80	true
132.0ms	1170×	body	320	valid
121.0ms	4111×	body	80	valid
46.0ms	617×	body	160	valid