Details

sample127.0ms

Algorithm

intervals

Results

82.0ms	186×	body	1280	valid
12.0ms	285×	body	80	valid
11.0ms	40×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	7×	body	160	valid

simplify178.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	40	8
4	49	8
5	54	8
6	63	8
7	80	8
8	95	8
9	103	8
10	111	8
done	111	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.2b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

11.0ms	(- (exp x) 2.0)
66.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series135.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(- (exp x) 2.0)
108.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify2.3s

Counts

41 → 41

Iterations

Useful iterations: 3 (975.0ms)

Iter	Nodes	Cost
0	93	511
1	204	465
2	579	445
3	2107	432
done	5000	432

prune132.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.0b	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.0b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-exp-log` `associate-r`
12×	`*-un-lft-identity`
11×	`add-log-exp`
10×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`pow1` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

43.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
19.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
16.0ms	(* 1/360 (pow x 6))
12.0ms	(* 1/12 (pow x 4))

series396.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
215.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
54.0ms	(* 1/360 (pow x 6))
53.0ms	(* 1/12 (pow x 4))

simplify4.4s

Counts

87 → 87

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	133	1068
1	331	934
2	950	888
3	4360	870
done	5001	868

prune362.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (- (exp x) 2.0)))
0.0b	(- (exp x) 2.0)
0.0b	(exp (- (exp x) 2.0))
3.2b	(+ (log (exp (- (exp x) 2.0))) (exp (- x)))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
10×	`log-prod` `exp-prod` `add-log-exp`
8×	`add-cube-cbrt`
7×	`log-pow`
6×	`pow1` `exp-sum`
5×	`associate-+l+`
4×	`add-exp-log` `sub-neg` `add-cbrt-cube`
3×	`exp-diff` `distribute-lft-out--` `difference-of-squares`
2×	`log-div` `diff-log` `rem-exp-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `flip--` `flip-+`

Counts

4 → 70

Calls

4 calls:

35.0ms	(log (exp (- (exp x) 2.0)))
10.0ms	(- (exp x) 2.0)
27.0ms	(exp (- (exp x) 2.0))
209.0ms	(+ (log (exp (- (exp x) 2.0))) (exp (- x)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(log (exp (- (exp x) 2.0)))
14.0ms	(- (exp x) 2.0)
56.0ms	(exp (- (exp x) 2.0))
90.0ms	(+ (log (exp (- (exp x) 2.0))) (exp (- x)))

simplify1.7s

Counts

82 → 82

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	116	758
1	241	630
2	591	592
3	1995	587
done	5000	586

prune235.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (* (exp (exp x)) (exp (- 2.0))))
0.0b	(* (exp (exp x)) (exp (- 2.0)))
0.0b	(exp (exp x))
2.7b	(+ (log (* (exp (exp x)) (exp (- 2.0)))) (exp (- x)))

rewrite465.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
12×	`pow1`
11×	`exp-prod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`exp-neg` `log-div` `associate-*r/` `log-pow` `add-cbrt-cube` `add-log-exp`
5×	`add-exp-log`
4×	`pow-prod-up`
3×	`neg-sub0` `associate-+l-` `exp-diff` `associate-r` `associate-l` `pow-prod-down` `un-div-inv` `distribute-lft-out`
2×	`log-prod` `distribute-rgt-neg-in` `rem-log-exp` `prod-exp`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `rem-exp-log` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

54.0ms	(log (* (exp (exp x)) (exp (- 2.0))))
74.0ms	(* (exp (exp x)) (exp (- 2.0)))
8.0ms	(exp (exp x))
324.0ms	(+ (log (* (exp (exp x)) (exp (- 2.0)))) (exp (- x)))

series978.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(log (* (exp (exp x)) (exp (- 2.0))))
169.0ms	(* (exp (exp x)) (exp (- 2.0)))
38.0ms	(exp (exp x))
470.0ms	(+ (log (* (exp (exp x)) (exp (- 2.0)))) (exp (- x)))

simplify2.2s

Counts

81 → 81

Iterations

Useful iterations: 3 (844.0ms)

Iter	Nodes	Cost
0	112	828
1	246	578
2	711	522
3	2347	512
done	5000	512

prune284.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes30.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	15
1	17	15
done	17	15

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.5s	5670×	body	1280	valid
471.0ms	8287×	body	80	valid
314.0ms	1222×	body	640	valid
157.0ms	630×	body	320	valid
38.0ms	305×	body	160	valid