Details

sample64.0ms

Algorithm

intervals

Results

29.0ms	109×	body	1280	valid
13.0ms	79×	body	640	valid
5.0ms	233×	body	80	valid
4.0ms	41×	body	320	valid
1.0ms	18×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	30	8
4	34	8
done	34	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize7.0ms

Local error

Found 1 expressions with local error:

5.2b	(- (exp x) (exp (- x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

13.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify1.3s

Counts

17 → 17

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	46	185
1	100	176
2	231	158
3	532	157
4	1593	157
done	5000	157

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult` `associate-+r+` `unpow3`

Counts

4 → 80

Calls

4 calls:

9.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
21.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
11.0ms	(* 1/60 (pow x 5))
13.0ms	(* 1/3 (pow x 3))

series299.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
72.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
53.0ms	(* 1/60 (pow x 5))
41.0ms	(* 1/3 (pow x 3))

simplify658.0ms

Counts

92 → 92

Iterations

Useful iterations: done (656.0ms)

Iter	Nodes	Cost
0	137	1055
1	360	917
2	1157	873
done	5000	872

prune204.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`associate-r`
12×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-cbrt-cube`
4×	`cube-prod` `sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

14.0ms	(* 1/60 (pow x 5))
13.0ms	(* 1/3 (pow x 3))

series88.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* 1/60 (pow x 5))
37.0ms	(* 1/3 (pow x 3))

simplify1.3s

Counts

62 → 62

Iterations

Useful iterations: 3 (377.0ms)

Iter	Nodes	Cost
0	96	484
1	212	416
2	538	396
3	2224	395
done	5000	395

prune126.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))
5.4b	(- (exp (+ x x)) (exp (* x -2)))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

127.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
12.0ms	(+ (exp x) (exp (- x)))
53.0ms	(- (exp (+ x x)) (exp (* x -2)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
23.0ms	(+ (exp x) (exp (- x)))
39.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.6s

Counts

87 → 87

Iterations

Useful iterations: 3 (818.0ms)

Iter	Nodes	Cost
0	149	1819
1	359	1763
2	921	1613
3	2822	1576
done	5001	1576

prune210.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	20	17
done	20	17

end0.0ms

sample2.0s

Algorithm

intervals

Results

941.0ms	3414×	body	1280	valid
395.0ms	2454×	body	640	valid
182.0ms	7969×	body	80	valid
119.0ms	1234×	body	320	valid
38.0ms	634×	body	160	valid