Details

sample77.0ms

Algorithm

intervals

Results

53.0ms	179×	body	1280	valid
6.0ms	231×	body	80	valid
5.0ms	32×	body	640	valid
2.0ms	23×	body	320	valid
1.0ms	18×	body	160	valid

simplify81.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	38	8
4	49	8
5	54	8
6	63	8
7	80	8
8	99	8
9	106	8
10	110	8
11	114	8
done	114	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
6.5b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite27.0ms

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:

4.0ms	(- (exp x) 2.0)
22.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
58.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify881.0ms

Counts

41 → 41

Iterations

Useful iterations: 3 (314.0ms)

Iter	Nodes	Cost
0	93	511
1	212	465
2	574	445
3	1993	432
done	5001	432

prune91.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:

3.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
12.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms	(* 1/360 (pow x 6))
8.0ms	(* 1/12 (pow x 4))

series261.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
54.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
49.0ms	(* 1/360 (pow x 6))
35.0ms	(* 1/12 (pow x 4))

simplify798.0ms

Counts

87 → 87

Iterations

Useful iterations: done (796.0ms)

Iter	Nodes	Cost
0	133	1068
1	334	934
2	933	888
done	5001	872

prune197.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow x 2) (log (exp (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))
2.6b	(log (exp (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-exp-log` `associate-r`
13×	`add-cube-cbrt`
8×	`unpow-prod-down` `log-prod` `add-cbrt-cube`
6×	`pow1` `associate-l` `prod-exp` `unswap-sqr`
5×	`log-pow` `add-log-exp`
4×	`associate-+r+` `sqr-pow`
3×	`exp-prod`
2×	`pow-to-exp` `exp-sum` `pow-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 83

Calls

4 calls:

27.0ms	(+ (pow x 2) (log (exp (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
5.0ms	(* 1/360 (pow x 6))
8.0ms	(* 1/12 (pow x 4))
8.0ms	(log (exp (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

series261.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (pow x 2) (log (exp (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
48.0ms	(* 1/360 (pow x 6))
34.0ms	(* 1/12 (pow x 4))
125.0ms	(log (exp (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

simplify2.9s

Counts

95 → 95

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	147	1240
1	306	1063
2	798	991
3	4040	973
done	5000	973

prune254.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))
2.7b	(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
30.6b	(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-exp-log`
14×	`associate-r`
13×	`add-cube-cbrt`
8×	`unpow-prod-down` `log-prod` `add-cbrt-cube`
6×	`pow1` `associate-l` `prod-exp` `unswap-sqr`
4×	`log-div` `exp-prod` `exp-sum` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `flip3-+` `exp-diff` `pow-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 83

Calls

4 calls:

8.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))
11.0ms	(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
10.0ms	(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 1/360 (pow x 6))
37.0ms	(* 1/12 (pow x 4))
51.0ms	(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
91.0ms	(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

simplify2.8s

Counts

95 → 95

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	168	1463
1	360	1308
2	947	1185
3	4206	1165
done	5000	1165

prune427.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	19	17
done	19	17

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.7s	5698×	body	1280	valid
198.0ms	1243×	body	640	valid
186.0ms	8117×	body	80	valid
57.0ms	588×	body	320	valid
20.0ms	314×	body	160	valid