Details

sample79.0ms

Algorithm

intervals

Results

53.0ms	182×	body	1280	valid
5.0ms	238×	body	80	valid
5.0ms	34×	body	640	valid
2.0ms	22×	body	320	valid
1.0ms	13×	body	160	valid

simplify89.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.8b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite58.0ms

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:

10.0ms	(- (exp x) 2.0)
47.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
58.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.1s

Counts

41 → 41

Iterations

Useful iterations: 3 (376.0ms)

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

prune86.0ms

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))

rewrite60.0ms

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:

11.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
24.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
11.0ms	(* 1/360 (pow x 6))
12.0ms	(* 1/12 (pow x 4))

series275.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (* 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))))
51.0ms	(* 1/360 (pow x 6))
38.0ms	(* 1/12 (pow x 4))

simplify2.6s

Counts

87 → 87

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	133	1068
1	331	934
2	952	888
3	4364	870
done	5001	868

prune196.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- (exp x) 2.0))
0.0b	(cbrt (- (exp x) 2.0))
0.0b	(cbrt (- (exp x) 2.0))
6.3b	(+ (* (* (cbrt (- (exp x) 2.0)) (cbrt (- (exp x) 2.0))) (cbrt (- (exp x) 2.0))) (exp (- x)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

114×	`cbrt-div`
57×	`flip3--` `flip--`
56×	`frac-times`
52×	`frac-add`
28×	`associate-*l/`
26×	`neg-sub0` `exp-neg` `exp-diff`
16×	`associate-*r/`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 108

Calls

4 calls:

6.0ms	(cbrt (- (exp x) 2.0))
6.0ms	(cbrt (- (exp x) 2.0))
7.0ms	(cbrt (- (exp x) 2.0))
94.0ms	(+ (* (* (cbrt (- (exp x) 2.0)) (cbrt (- (exp x) 2.0))) (cbrt (- (exp x) 2.0))) (exp (- x)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (- (exp x) 2.0))
134.0ms	(cbrt (- (exp x) 2.0))
136.0ms	(cbrt (- (exp x) 2.0))
61.0ms	(+ (* (* (cbrt (- (exp x) 2.0)) (cbrt (- (exp x) 2.0))) (cbrt (- (exp x) 2.0))) (exp (- x)))

simplify1.7s

Counts

120 → 120

Iterations

Useful iterations: 3 (695.0ms)

Iter	Nodes	Cost
0	271	5180
1	545	4629
2	1176	4044
3	3203	4000
done	5001	4000

prune216.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow (cbrt (- (exp x) 2.0)) 6) (exp (* x -2))) (- (- (exp x) 2.0) (exp (- x))))
0.0b	(cbrt (- (exp x) 2.0))
0.1b	(pow (cbrt (- (exp x) 2.0)) 6)
7.2b	(- (pow (cbrt (- (exp x) 2.0)) 6) (exp (* x -2)))

rewrite435.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
48×	`times-frac`
43×	`difference-of-squares`
37×	`distribute-lft-out--`
24×	`add-cube-cbrt` `unpow-prod-down`
18×	`cbrt-prod`
9×	`sqr-pow`
8×	`associate-/l*`
7×	`add-exp-log`
6×	`flip3--` `associate-/r*` `associate-/r/` `add-cbrt-cube` `flip--` `add-log-exp`
5×	`pow1`
4×	`frac-sub`
3×	`pow-unpow`
2×	`neg-sub0` `exp-neg` `cbrt-div` `pow-pow` `exp-diff` `pow1/3` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `pow-exp` `clear-num` `div-inv`

Counts

4 → 138

Calls

4 calls:

286.0ms	(/ (- (pow (cbrt (- (exp x) 2.0)) 6) (exp (* x -2))) (- (- (exp x) 2.0) (exp (- x))))
6.0ms	(cbrt (- (exp x) 2.0))
13.0ms	(pow (cbrt (- (exp x) 2.0)) 6)
123.0ms	(- (pow (cbrt (- (exp x) 2.0)) 6) (exp (* x -2)))

series605.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(/ (- (pow (cbrt (- (exp x) 2.0)) 6) (exp (* x -2))) (- (- (exp x) 2.0) (exp (- x))))
142.0ms	(cbrt (- (exp x) 2.0))
224.0ms	(pow (cbrt (- (exp x) 2.0)) 6)
64.0ms	(- (pow (cbrt (- (exp x) 2.0)) 6) (exp (* x -2)))

simplify756.0ms

Counts

150 → 150

Iterations

Useful iterations: done (750.0ms)

Iter	Nodes	Cost
0	285	4034
1	667	3846
2	1774	3429
done	5001	3273

prune365.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.6s	5659×	body	1280	valid
180.0ms	1203×	body	640	valid
175.0ms	7943×	body	80	valid
59.0ms	659×	body	320	valid
18.0ms	309×	body	160	valid