Details

sample125.0ms

Algorithm

intervals

Results

59.0ms	108×	body	1280	valid
27.0ms	85×	body	640	valid
16.0ms	281×	body	80	valid
8.0ms	37×	body	320	valid
3.0ms	24×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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:

18.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify1.2s

Counts

18 → 18

Iterations

Iter	Nodes
done	2001
5	2001
4	1932
3	723
2	277
1	111
0	47

prune145.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

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×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-exp`

Counts

4 → 83

Calls

4 calls:

11.0ms	(* x (+ 2 (* 1/3 (* x x))))
17.0ms	(+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5)))
16.0ms	(* 1/60 (pow x 5))
21.0ms	(* 1/3 (* x x))

series309.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* x (+ 2 (* 1/3 (* x x))))
85.0ms	(+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5)))
69.0ms	(* 1/60 (pow x 5))
47.0ms	(* 1/3 (* x x))

simplify1.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	2005
3	2005
2	1600
1	430
0	144

prune721.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 1 (* (exp x) (exp x))) (exp (* x -2)))
0.0b	(/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (+ 1 (* (exp x) (exp x))) (exp (* x -2))))
0.0b	(* (exp x) (exp x))
6.5b	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

rewrite450.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
18×	`exp-prod`
16×	`times-frac`
12×	`distribute-lft-out`
11×	`pow1` `add-log-exp`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`associate-/r` `sum-log` `flip3-+` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip-+` `insert-posit16` `associate-/l`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`+-commutative` `associate-/r/` `associate-/l/`
1×	`pow2` `cbrt-undiv` `associate-+l+` `clear-num` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

19.0ms	(+ (+ 1 (* (exp x) (exp x))) (exp (* x -2)))
400.0ms	(/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (+ 1 (* (exp x) (exp x))) (exp (* x -2))))
13.0ms	(* (exp x) (exp x))
15.0ms	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

series299.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (+ 1 (* (exp x) (exp x))) (exp (* x -2)))
142.0ms	(/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (+ 1 (* (exp x) (exp x))) (exp (* x -2))))
21.0ms	(* (exp x) (exp x))
66.0ms	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))

simplify1.4s

Counts

116 → 116

Iterations

Iter	Nodes
done	2001
3	2001
2	1513
1	449
0	176

prune728.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (+ 1 (* (exp x) (exp x))) (exp (* x -2))))
0.0b	(* (exp x) (exp x))
6.5b	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))
6.5b	(log (exp (/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (+ 1 (* (exp x) (exp x))) (exp (* x -2))))))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
40×	`exp-prod`
36×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
32×	`times-frac`
23×	`log-pow`
19×	`distribute-lft-out`
12×	`pow1`
8×	`add-cbrt-cube`
6×	`add-exp-log` `add-log-exp`
4×	`associate-/r` `flip3-+` `pow-prod-down` `associate-/r/` `pow-sqr` `pow-prod-up` `flip-+` `insert-posit16` `associate-/l`
3×	`log-prod` `swap-sqr` `associate-r` `associate-l`
2×	`div-inv` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-plus` `div-exp` `rem-log-exp` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

79.0ms	(/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (+ 1 (* (exp x) (exp x))) (exp (* x -2))))
14.0ms	(* (exp x) (exp x))
29.0ms	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))
146.0ms	(log (exp (/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (+ 1 (* (exp x) (exp x))) (exp (* x -2))))))

series368.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (+ 1 (* (exp x) (exp x))) (exp (* x -2))))
14.0ms	(* (exp x) (exp x))
78.0ms	(+ (exp (* x 3)) (/ -1 (exp (* x 3))))
154.0ms	(log (exp (/ (+ (exp (* x 3)) (/ -1 (exp (* x 3)))) (+ (+ 1 (* (exp x) (exp x))) (exp (* x -2))))))

simplify1.2s

Counts

136 → 136

Iterations

Iter	Nodes
done	2004
3	2004
2	1376
1	454
0	201

prune778.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes27.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.2s	3279×	body	1280	valid
1.1s	2560×	body	640	valid
608.0ms	8293×	body	80	valid
432.0ms	1231×	body	320	valid
104.0ms	671×	body	160	valid