Details

sample65.0ms

Algorithm

intervals

Results

30.0ms	107×	body	1280	valid
14.0ms	86×	body	640	valid
6.0ms	275×	body	80	valid
4.0ms	33×	body	320	valid
1.0ms	23×	body	160	valid

simplify30.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	32	8
4	37	8
5	43	8
6	58	8
7	101	8
8	248	8
9	1690	8
done	5000	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b	(- (exp x) (exp (- x)))

rewrite7.0ms

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:

7.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify15.6s

Counts

17 → 17

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	46	185
1	102	176
2	251	158
3	724	157
4	4429	157
done	5000	157

prune44.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

3.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
5.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series204.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
48.0ms	(* 1/60 (pow x 5))
34.0ms	(* 1/3 (pow x 3))

simplify577.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	117	692
1	300	601
2	1105	565
done	5001	565

prune163.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))))
6.2b	(- (exp (+ x x)) (exp (* x -2)))

rewrite103.0ms

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:

5.0ms	(+ (exp x) (exp (- x)))
68.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
27.0ms	(- (exp (+ x x)) (exp (* x -2)))

series137.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (exp x) (exp (- x)))
75.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
40.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify4.8s

Counts

87 → 87

Iterations

Useful iterations: 3 (494.0ms)

Iter	Nodes	Cost
0	149	1819
1	361	1763
2	1044	1613
3	4926	1577
done	5000	1577

prune207.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) (exp (- x))))
6.2b	(- (exp x) (exp (- x)))
6.2b	(- (exp x) (exp (- x)))
6.2b	(- (exp x) (exp (- x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

5.0ms	(cbrt (- (exp x) (exp (- x))))
6.0ms	(- (exp x) (exp (- x)))
6.0ms	(- (exp x) (exp (- x)))
6.0ms	(- (exp x) (exp (- x)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (- (exp x) (exp (- x))))
33.0ms	(- (exp x) (exp (- x)))
38.0ms	(- (exp x) (exp (- x)))
34.0ms	(- (exp x) (exp (- x)))

simplify887.0ms

Counts

69 → 69

Iterations

Useful iterations: 3 (198.0ms)

Iter	Nodes	Cost
0	80	819
1	174	780
2	466	678
3	1659	660
done	5000	660

prune160.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

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

906.0ms	3339×	body	1280	valid
407.0ms	2493×	body	640	valid
188.0ms	8178×	body	80	valid
124.0ms	1232×	body	320	valid
40.0ms	654×	body	160	valid