Details

sample111.0ms

Algorithm

intervals

Results

49.0ms	108×	body	1280	valid
25.0ms	85×	body	640	valid
14.0ms	281×	body	80	valid
7.0ms	37×	body	320	valid
3.0ms	24×	body	160	valid

simplify39.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	36
6	36
5	35
4	33
3	29
2	22
1	14
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize30.0ms

Local error

Found 1 expressions with local error:

6.6b	(- (exp x) (exp (- x)))

rewrite13.0ms

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:

12.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify5.0s

Counts

18 → 18

Iterations

Iter	Nodes
5	5103
4	1654
3	653
2	258
1	111
0	47

prune71.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite51.0ms

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:

11.0ms	(+ (* (+ 2 (* 1/3 (* x x))) x) (* 1/60 (pow x 5)))
11.0ms	(* (+ 2 (* 1/3 (* x x))) x)
8.0ms	(* 1/60 (pow x 5))
19.0ms	(* 1/3 (* x x))

series385.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ (* (+ 2 (* 1/3 (* x x))) x) (* 1/60 (pow x 5)))
165.0ms	(* (+ 2 (* 1/3 (* x x))) x)
75.0ms	(* 1/60 (pow x 5))
53.0ms	(* 1/3 (* x x))

simplify3.3s

Counts

91 → 91

Iterations

Iter	Nodes
3	5776
2	1198
1	368
0	138

prune382.0ms

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))) (exp (* 3 x))) (+ 1 (- (* (exp x) (exp x)) (/ -1 (* (exp x) (exp x))))))
0.0b	(* (exp x) (exp x))
0.0b	(* (exp x) (exp x))
6.5b	(+ (/ -1 (exp (* 3 x))) (exp (* 3 x)))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
36×	`exp-prod`
34×	`add-cube-cbrt`
18×	`pow1`
16×	`times-frac`
11×	`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` `add-log-exp`
4×	`associate-/r` `insert-posit16` `associate-/l`
3×	`flip3-+` `flip-+`
2×	`pow2` `pow-plus` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 124

Calls

4 calls:

219.0ms	(/ (+ (/ -1 (exp (* 3 x))) (exp (* 3 x))) (+ 1 (- (* (exp x) (exp x)) (/ -1 (* (exp x) (exp x))))))
25.0ms	(* (exp x) (exp x))
23.0ms	(* (exp x) (exp x))
21.0ms	(+ (/ -1 (exp (* 3 x))) (exp (* 3 x)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(/ (+ (/ -1 (exp (* 3 x))) (exp (* 3 x))) (+ 1 (- (* (exp x) (exp x)) (/ -1 (* (exp x) (exp x))))))
19.0ms	(* (exp x) (exp x))
19.0ms	(* (exp x) (exp x))
75.0ms	(+ (/ -1 (exp (* 3 x))) (exp (* 3 x)))

simplify4.3s

Counts

136 → 136

Iterations

Iter	Nodes
3	4913
2	1001
1	387
0	154

prune520.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.0b	(* (exp x) (exp x))
6.5b	(+ (/ -1 (exp (* 3 x))) (exp (* 3 x)))
6.5b	(log (exp (/ (+ (/ -1 (exp (* 3 x))) (exp (* 3 x))) (+ 1 (- (* (exp x) (exp x)) (/ -1 (* (exp x) (exp x))))))))

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

58×	`exp-prod`
52×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
23×	`log-pow`
19×	`pow1`
16×	`times-frac`
9×	`distribute-lft-out`
8×	`add-cbrt-cube` `pow-prod-down` `pow-sqr` `pow-prod-up`
6×	`swap-sqr` `associate-r` `associate-l` `add-log-exp`
4×	`add-exp-log` `insert-posit16`
3×	`log-prod`
2×	`pow2` `flip3-+` `pow-plus` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`+-commutative` `sum-log` `rem-log-exp` `div-inv`

Counts

4 → 118

Calls

4 calls:

14.0ms	(* (exp x) (exp x))
18.0ms	(* (exp x) (exp x))
18.0ms	(+ (/ -1 (exp (* 3 x))) (exp (* 3 x)))
314.0ms	(log (exp (/ (+ (/ -1 (exp (* 3 x))) (exp (* 3 x))) (+ 1 (- (* (exp x) (exp x)) (/ -1 (* (exp x) (exp x))))))))

series270.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (exp x) (exp x))
14.0ms	(* (exp x) (exp x))
75.0ms	(+ (/ -1 (exp (* 3 x))) (exp (* 3 x)))
167.0ms	(log (exp (/ (+ (/ -1 (exp (* 3 x))) (exp (* 3 x))) (+ 1 (- (* (exp x) (exp x)) (/ -1 (* (exp x) (exp x))))))))

simplify2.2s

Counts

130 → 130

Iterations

Iter	Nodes
3	3735
2	913
1	369
0	172

prune613.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	18
1	18
0	13

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.3s	3279×	body	1280	valid
999.0ms	2560×	body	640	valid
655.0ms	8293×	body	80	valid
280.0ms	1231×	body	320	valid
96.0ms	671×	body	160	valid