Details

sample62.0ms

Algorithm

intervals

Results

27.0ms	99×	body	1280	valid
14.0ms	91×	body	640	valid
6.0ms	295×	body	80	valid
3.0ms	33×	body	320	valid
1.0ms	19×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 57.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

6.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify2.1s

Counts

17 → 17

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	46	185
1	102	176
2	231	158
3	504	157
4	1620	157
done	5000	157

prune47.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

9.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series145.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
46.0ms	(* 1/60 (pow x 5))
39.0ms	(* 1/3 (pow x 3))

simplify2.2s

Counts

78 → 78

Iterations

Useful iterations: 3 (588.0ms)

Iter	Nodes	Cost
0	122	847
1	309	750
2	916	704
3	4532	703
done	5000	703

prune172.0ms

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

rewrite107.0ms

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:

7.0ms	(+ (exp x) (exp (- x)))
67.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
30.0ms	(- (exp (+ x x)) (exp (* x -2)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (exp x) (exp (- x)))
81.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
39.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.6s

Counts

87 → 87

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	149	1819
1	361	1763
2	870	1613
3	2372	1577
done	5000	1568

prune204.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
42×	`log-pow`
40×	`times-frac`
36×	`exp-prod`
27×	`add-cube-cbrt`
14×	`difference-of-squares`
12×	`distribute-lft-out`
10×	`pow1` `associate-/l*`
9×	`exp-sum`
8×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`add-exp-log` `add-cbrt-cube`
5×	`log-prod`
4×	`associate-/r*`
2×	`sub-neg` `log-div` `flip3-+` `exp-diff` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `diff-log` `div-sub` `div-exp` `rem-log-exp` `clear-num` `sum-log` `flip--` `div-inv`

Counts

4 → 117

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
216.0ms	(/ (log (exp (- (exp (+ x x)) (exp (* x -2))))) (+ (exp x) (exp (- x))))
70.0ms	(log (exp (- (exp (+ x x)) (exp (* x -2)))))
26.0ms	(- (exp (+ x x)) (exp (* x -2)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp x) (exp (- x)))
73.0ms	(/ (log (exp (- (exp (+ x x)) (exp (* x -2))))) (+ (exp x) (exp (- x))))
39.0ms	(log (exp (- (exp (+ x x)) (exp (* x -2)))))
37.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.2s

Counts

129 → 129

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	197	2855
1	402	2568
2	879	2433
3	2205	2358
done	5001	2355

prune314.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.9s

Algorithm

intervals

Results

931.0ms	3393×	body	1280	valid
398.0ms	2504×	body	640	valid
192.0ms	8360×	body	80	valid
120.0ms	1228×	body	320	valid
36.0ms	609×	body	160	valid