Details

sample166.0ms

Algorithm

intervals

Results

68.0ms	105×	body	1280	valid
49.0ms	72×	body	640	valid
18.0ms	239×	body	80	valid
14.0ms	50×	body	320	valid
3.0ms	18×	body	160	valid

simplify37.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	38
6	38
5	37
4	35
3	31
2	24
1	14
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize17.0ms

Local error

Found 1 expressions with local error:

6.4b	(- (exp x) (exp (- x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

16.0ms

(- (exp x) (exp (- x)))

series62.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(- (exp x) (exp (- x)))

simplify1.7s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
4	1932
3	723
2	277
1	111
0	47

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ (* 1/3 (* x x)) 2))
0.1b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (* x x))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`associate-r`
10×	`pow1`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
7×	`prod-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

3 → 69

Calls

3 calls:

61.0ms	(* x (+ (* 1/3 (* x x)) 2))
12.0ms	(* 1/60 (pow x 5))
20.0ms	(* 1/3 (* x x))

series174.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* x (+ (* 1/3 (* x x)) 2))
55.0ms	(* 1/60 (pow x 5))
29.0ms	(* 1/3 (* x x))

simplify1.2s

Counts

78 → 78

Iterations

Iter	Nodes
done	5003
2	1248
1	359
0	122

prune324.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 1/60 (pow x 5))
0.1b	(* (* 1/3 (* x x)) x)
0.2b	(* 1/3 (* x x))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
14×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 68

Calls

3 calls:

13.0ms	(* 1/60 (pow x 5))
61.0ms	(* (* 1/3 (* x x)) x)
21.0ms	(* 1/3 (* x x))

series148.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* 1/60 (pow x 5))
43.0ms	(* (* 1/3 (* x x)) x)
30.0ms	(* 1/3 (* x x))

simplify2.4s

Counts

77 → 77

Iterations

Iter	Nodes
done	5002
3	3456
2	738
1	269
0	104

prune266.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.0b	(* (exp x) (exp x))
0.3b	(/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (/ 1 (* (exp x) (exp x))) (+ 1 (* (exp x) (exp x)))))
6.8b	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
36×	`exp-prod`
35×	`add-cube-cbrt`
20×	`times-frac`
18×	`pow1`
17×	`distribute-lft-out`
10×	`add-cbrt-cube`
8×	`pow-prod-down` `pow-sqr` `pow-prod-up`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log` `div-inv` `add-log-exp`
5×	`associate-/r*`
4×	`flip3-+` `associate-/r/` `flip-+` `insert-posit16` `associate-/l*`
2×	`pow2` `pow-plus` `frac-add` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp`

Counts

4 → 131

Calls

4 calls:

27.0ms	(* (exp x) (exp x))
25.0ms	(* (exp x) (exp x))
120.0ms	(/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (/ 1 (* (exp x) (exp x))) (+ 1 (* (exp x) (exp x)))))
15.0ms	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

series247.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (exp x) (exp x))
21.0ms	(* (exp x) (exp x))
150.0ms	(/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (/ 1 (* (exp x) (exp x))) (+ 1 (* (exp x) (exp x)))))
55.0ms	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

simplify2.2s

Counts

143 → 143

Iterations

Iter	Nodes
done	5003
2	1798
1	482
0	173

prune608.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes428.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.9s	3382×	body	1280	valid
989.0ms	7766×	body	80	valid
934.0ms	2430×	body	640	valid
320.0ms	1259×	body	320	valid
127.0ms	660×	body	160	valid