Details

sample104.0ms

Algorithm

intervals

Results

44.0ms	110×	body	1280	valid
20.0ms	82×	body	640	valid
14.0ms	251×	body	80	valid
6.0ms	37×	body	320	valid
2.0ms	21×	body	160	valid

simplify112.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	36
6	36
5	35
4	33
3	30
2	24
1	14
0	7

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize45.0ms

Local error

Found 1 expressions with local error:

5.5b	(- (exp x) (exp (- x)))

rewrite44.0ms

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:

42.0ms

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify5.1s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
4	2342
3	782
2	282
1	110
0	47

prune210.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize97.0ms

Local error

Found 2 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

42.0ms	(* 1/60 (pow x 5))
40.0ms	(* 1/3 (* x x))

series123.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* 1/60 (pow x 5))
51.0ms	(* 1/3 (* x x))

simplify4.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
3	1803
2	486
1	188
0	83

prune432.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize254.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (exp x))
0.0b	(/ (+ (/ 1 (exp x)) (exp x)) (exp x))
0.0b	(* (exp x) (exp x))
5.5b	(+ (exp (* 3 x)) (/ -1 (exp (* 3 x))))

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 121

Calls

4 calls:

29.0ms	(/ 1 (exp x))
186.0ms	(/ (+ (/ 1 (exp x)) (exp x)) (exp x))
49.0ms	(* (exp x) (exp x))
50.0ms	(+ (exp (* 3 x)) (/ -1 (exp (* 3 x))))

series263.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (exp x))
114.0ms	(/ (+ (/ 1 (exp x)) (exp x)) (exp x))
29.0ms	(* (exp x) (exp x))
96.0ms	(+ (exp (* 3 x)) (/ -1 (exp (* 3 x))))

simplify9.3s

Counts

133 → 133

Iterations

Iter	Nodes
done	5112
3	4295
2	1285
1	429
0	180

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize324.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (exp x)) (cbrt (exp x)))
0.0b	(* (cbrt (exp x)) (cbrt (exp x)))
0.0b	(* (cbrt (exp x)) (cbrt (exp x)))
5.5b	(+ (exp (* 3 x)) (/ -1 (exp (* 3 x))))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
48×	`cbrt-prod`
30×	`*-un-lft-identity`
28×	`add-cube-cbrt`
25×	`pow1`
18×	`pow1/3` `swap-sqr` `associate-r` `associate-l`
12×	`unswap-sqr`
10×	`add-exp-log`
6×	`pow-prod-down` `pow-sqr` `pow-prod-up` `add-log-exp`
4×	`add-cbrt-cube` `insert-posit16`
3×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 136

Calls

4 calls:

35.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
33.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
42.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
35.0ms	(+ (exp (* 3 x)) (/ -1 (exp (* 3 x))))

series718.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
225.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
228.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
68.0ms	(+ (exp (* 3 x)) (/ -1 (exp (* 3 x))))

simplify3.7s

Counts

148 → 148

Iterations

Iter	Nodes
done	5001
3	1663
2	560
1	225
0	93

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	19
1	19
0	14

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.1s	3334×	body	1280	valid
1.5s	2534×	body	640	valid
676.0ms	8313×	body	80	valid
313.0ms	1233×	body	320	valid
163.0ms	628×	body	160	valid