Details

sample81.0ms

Algorithm

intervals

Results

24.0ms	64×	body	1280	valid
20.0ms	76×	body	10240	exit
12.0ms	49×	body	640	valid
5.0ms	29×	body	320	valid
4.0ms	98×	body	80	valid
2.0ms	16×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.7b

localize14.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ (exp x) (- (exp x) 1.0))
3.7b	(- (exp x) 1.0)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 51

Calls

2 calls:

30.0ms	(/ (exp x) (- (exp x) 1.0))
16.0ms	(- (exp x) 1.0)

series87.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (exp x) (- (exp x) 1.0))
30.0ms	(- (exp x) 1.0)

simplify1.4s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
3	2908
2	645
1	191
0	91

prune295.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 1 x) (+ 1/2 (* x 1/12)))
0.3b	(* x 1/12)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity` `add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`sum-log` `associate-r` `associate-l`
2×	`flip3-+` `frac-add` `flip-+` `distribute-lft-out`
1×	`+-commutative` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

30.0ms	(+ (/ 1 x) (+ 1/2 (* x 1/12)))
6.0ms	(* x 1/12)

series56.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (/ 1 x) (+ 1/2 (* x 1/12)))
28.0ms	(* x 1/12)

simplify726.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5002
2	1038
1	238
0	78

prune146.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
3.7b	(- 1 (/ 1.0 (exp x)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `associate-/r/` `div-inv` `flip--`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `pow-flip` `inv-pow`

Counts

3 → 97

Calls

3 calls:

42.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
5.0ms	(/ 1.0 (exp x))
13.0ms	(- 1 (/ 1.0 (exp x)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
16.0ms	(/ 1.0 (exp x))
45.0ms	(- 1 (/ 1.0 (exp x)))

simplify659.0ms

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1153
1	345
0	162

prune282.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.8b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
1.0b	(/ (exp x) (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)))
3.7b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
136×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
82×	`add-cube-cbrt`
44×	`difference-of-squares`
30×	`associate-/r*`
27×	`distribute-lft-out`
22×	`exp-sum`
11×	`add-cbrt-cube` `associate-/r/`
9×	`add-exp-log`
8×	`associate-/l*` `add-log-exp`
6×	`flip3-+` `flip-+` `div-inv`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`clear-num` `frac-2neg` `flip3--` `flip--` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `div-sub`

Counts

4 → 194

Calls

4 calls:

13.0ms	(+ (exp x) 1.0)
144.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
88.0ms	(/ (exp x) (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)))
47.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series221.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
79.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
106.0ms	(/ (exp x) (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0)))
27.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify494.0ms

Counts

206 → 206

Iterations

Iter	Nodes
done	5001
1	835
0	299

prune983.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes97.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.6b

bsearch1.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	43
1	43
0	34

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	2544×	body	10240	exit
714.0ms	2289×	body	1280	valid
408.0ms	1611×	body	640	valid
102.0ms	792×	body	320	valid
95.0ms	2894×	body	80	valid
31.0ms	417×	body	160	valid