Details

sample76.0ms

Algorithm

intervals

Results

49.0ms	170×	body	1280	valid
6.0ms	292×	body	80	valid
6.0ms	43×	body	640	valid
2.0ms	28×	body	320	valid
0.0ms	7×	body	160	valid

simplify218.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	100	5
6	144	5
7	296	5
8	1321	5
9	5001	5
done	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.6b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite57.0ms

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:

9.0ms	(- (exp x) 2.0)
47.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify91.0ms

Counts

41 → 41

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	211	282
1	715	269
2	3477	260
3	5001	260
done	5001	260

prune95.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite58.0ms

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:

9.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
25.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
11.0ms	(* 1/360 (pow x 6))
11.0ms	(* 1/12 (pow x 4))

series276.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
58.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
51.0ms	(* 1/360 (pow x 6))
36.0ms	(* 1/12 (pow x 4))

simplify50.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	329	464
1	1456	439
2	5001	423
done	5001	423

prune204.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))))))
30.3b	(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

rewrite63.0ms

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:

11.0ms	(* 1/360 (pow x 6))
11.0ms	(* 1/12 (pow x 4))
20.0ms	(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
20.0ms	(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* 1/360 (pow x 6))
42.0ms	(* 1/12 (pow x 4))
60.0ms	(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
94.0ms	(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

simplify46.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	355	681
1	1365	618
2	5002	592
done	5002	592

prune240.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (- (exp x) 2.0))
0.0b	(* (+ (exp x) 2.0) (exp x))
0.0b	(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
2.9b	(+ (* (exp x) (- (exp x) 2.0)) 1)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube`
16×	`add-exp-log`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`flip3-+` `flip-+`
8×	`pow1` `add-cube-cbrt` `associate-r` `associate-/l/`
7×	`associate-l`
6×	`associate-*l/` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `associate-+l+` `distribute-lft-in` `associate-*r/` `div-exp`
2×	`pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-log` `flip--` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

34.0ms	(* (exp x) (- (exp x) 2.0))
33.0ms	(* (+ (exp x) 2.0) (exp x))
55.0ms	(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
22.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

series213.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (exp x) (- (exp x) 2.0))
22.0ms	(* (+ (exp x) 2.0) (exp x))
98.0ms	(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
60.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

simplify94.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	524	1022
1	3416	776
2	5002	765
done	5002	765

prune203.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes25.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7
done	17	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5722×	body	1280	valid
176.0ms	1212×	body	640	valid
171.0ms	7995×	body	80	valid
51.0ms	579×	body	320	valid
23.0ms	323×	body	160	valid