Details

sample115.0ms

Algorithm

intervals

Results

48.0ms	104×	body	1280	valid
26.0ms	84×	body	640	valid
17.0ms	297×	body	80	valid
10.0ms	37×	body	320	valid
2.0ms	16×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 56.6b

localize24.0ms

Local error

Found 1 expressions with local error:

4.6b	(- (exp x) (exp (- x)))

rewrite11.0ms

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:

10.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify2.6s

Counts

18 → 18

Iterations

Iter	Nodes
5	5349
4	1659
3	631
2	259
1	111
0	47

prune193.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`pow1` `associate-r`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-l`
7×	`prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16`
3×	`*-commutative`
2×	`flip3-+` `associate-*l/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-exp`

Counts

4 → 79

Calls

4 calls:

27.0ms	(+ (* (+ 2 (* 1/3 (* x x))) x) (* 1/60 (pow x 5)))
22.0ms	(* (+ 2 (* 1/3 (* x x))) x)
15.0ms	(* 1/60 (pow x 5))
25.0ms	(* 1/3 (* x x))

series282.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (* (+ 2 (* 1/3 (* x x))) x) (* 1/60 (pow x 5)))
94.0ms	(* (+ 2 (* 1/3 (* x x))) x)
79.0ms	(* 1/60 (pow x 5))
48.0ms	(* 1/3 (* x x))

simplify2.9s

Counts

91 → 91

Iterations

Iter	Nodes
3	5554
2	1193
1	369
0	138

prune841.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 1/3 (* x x)) (* 1/3 (* x x)))
0.2b	(* 1/3 (* x x))
0.2b	(* 1/3 (* x x))
0.2b	(* 1/3 (* x x))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

133×	`pow1`
75×	`pow-prod-down`
55×	`add-cbrt-cube` `add-exp-log`
36×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
9×	`pow-sqr` `pow-prod-up`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp`
3×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 121

Calls

4 calls:

94.0ms	(* (* 1/3 (* x x)) (* 1/3 (* x x)))
25.0ms	(* 1/3 (* x x))
21.0ms	(* 1/3 (* x x))
17.0ms	(* 1/3 (* x x))

series160.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* 1/3 (* x x)) (* 1/3 (* x x)))
44.0ms	(* 1/3 (* x x))
27.0ms	(* 1/3 (* x x))
38.0ms	(* 1/3 (* x x))

simplify2.4s

Counts

133 → 133

Iterations

Iter	Nodes
3	3999
2	694
1	187
0	70

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 2 (log (exp (* 1/3 (* x x))))) x)
0.1b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (* x x))
3.2b	(log (exp (* 1/3 (* x x))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`add-exp-log`
14×	`*-un-lft-identity`
13×	`pow1` `add-cbrt-cube`
11×	`associate-r` `associate-l` `add-cube-cbrt`
7×	`prod-exp`
5×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `log-pow` `insert-posit16`
3×	`log-prod` `*-commutative`
2×	`associate-*l/` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `exp-prod` `flip3-+` `exp-to-pow` `rem-log-exp` `pow-exp` `flip-+`

Counts

4 → 84

Calls

4 calls:

20.0ms	(* (+ 2 (log (exp (* 1/3 (* x x))))) x)
8.0ms	(* 1/60 (pow x 5))
16.0ms	(* 1/3 (* x x))
4.0ms	(log (exp (* 1/3 (* x x))))

series291.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (+ 2 (log (exp (* 1/3 (* x x))))) x)
85.0ms	(* 1/60 (pow x 5))
41.0ms	(* 1/3 (* x x))
43.0ms	(log (exp (* 1/3 (* x x))))

simplify1.7s

Counts

96 → 96

Iterations

Iter	Nodes
3	3720
2	903
1	311
0	136

prune926.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes30.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	21
1	21
0	17

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.4s	3437×	body	1280	valid
1.6s	2460×	body	640	valid
584.0ms	8214×	body	80	valid
369.0ms	1212×	body	320	valid
134.0ms	612×	body	160	valid