Details

sample146.0ms

Algorithm

intervals

Results

61.0ms	96×	body	1280	valid
35.0ms	97×	body	640	valid
18.0ms	323×	body	80	valid
7.0ms	33×	body	320	valid
3.0ms	19×	body	160	valid

simplify54.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	36
6	36
5	35
4	33
3	30
2	24
1	14
0	7

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.5b

localize20.0ms

Local error

Found 1 expressions with local error:

5.0b	(- (exp x) (exp (- x)))

rewrite60.0ms

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:

59.0ms

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

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

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

simplify3.9s

Counts

17 → 17

Iterations

Iter	Nodes
done	5009
4	2275
3	800
2	266
1	109
0	46

prune152.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2)))
0.0b	(* x (+ (* 1/3 (* x x)) 2))
0.0b	(* (pow x 5) 1/60)
0.2b	(* 1/3 (* x x))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`associate-l` `add-cbrt-cube`
11×	`pow1`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down`
3×	`*-commutative`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-exp` `sum-log`

Counts

4 → 79

Calls

4 calls:

23.0ms	(+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2)))
120.0ms	(* x (+ (* 1/3 (* x x)) 2))
33.0ms	(* (pow x 5) 1/60)
36.0ms	(* 1/3 (* x x))

series437.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2)))
176.0ms	(* x (+ (* 1/3 (* x x)) 2))
100.0ms	(* (pow x 5) 1/60)
41.0ms	(* 1/3 (* x x))

simplify2.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5003
2	1657
1	428
0	141

prune580.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 5) 1/60) (+ (* x (* 1/3 (* x x))) (* x 2)))
0.0b	(* (pow x 5) 1/60)
0.1b	(* x (* 1/3 (* x x)))
0.2b	(* 1/3 (* x x))

rewrite335.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
13×	`associate-l`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `add-log-exp`
5×	`associate-r`
4×	`unpow-prod-down` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 78

Calls

4 calls:

180.0ms	(+ (* (pow x 5) 1/60) (+ (* x (* 1/3 (* x x))) (* x 2)))
25.0ms	(* (pow x 5) 1/60)
89.0ms	(* x (* 1/3 (* x x)))
36.0ms	(* 1/3 (* x x))

series338.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ (* (pow x 5) 1/60) (+ (* x (* 1/3 (* x x))) (* x 2)))
94.0ms	(* (pow x 5) 1/60)
85.0ms	(* x (* 1/3 (* x x)))
52.0ms	(* 1/3 (* x x))

simplify2.7s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1321
1	353
0	129

prune571.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -1 (exp x))
5.0b	(+ (/ -1 (exp x)) (exp x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 39

Calls

2 calls:

10.0ms	(/ -1 (exp x))
51.0ms	(+ (/ -1 (exp x)) (exp x))

series92.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ -1 (exp x))
73.0ms	(+ (/ -1 (exp x)) (exp x))

simplify2.9s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
3	1324
2	448
1	193
0	85

prune262.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes41.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	15

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.9s	3372×	body	1280	valid
932.0ms	2423×	body	640	valid
789.0ms	8054×	body	80	valid
286.0ms	1246×	body	320	valid
106.0ms	685×	body	160	valid