Details

sample145.0ms

Algorithm

intervals

Results

94.0ms	181×	body	1280	valid
13.0ms	43×	body	640	valid
11.0ms	251×	body	80	valid
3.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	2899
9	809
8	249
7	88
6	71
5	62
4	56
3	40
2	26
1	14
0	7

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.9b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (exp x) 2.0)
0.0b	(/ -1 (exp x))
3.4b	(- (- (exp x) 2.0) (/ -1 (exp x)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`times-frac` `add-log-exp`
5×	`add-cbrt-cube`
4×	`diff-log` `add-exp-log` `distribute-lft-out--`
3×	`pow1` `associate-/r` `sub-neg` `flip3--` `flip--` `associate-/l` `difference-of-squares`
2×	`associate--l+` `frac-sub`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 63

Calls

3 calls:

8.0ms	(- (exp x) 2.0)
5.0ms	(/ -1 (exp x))
105.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (exp x) 2.0)
21.0ms	(/ -1 (exp x))
85.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))

simplify2.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	3945
2	765
1	275
0	129

prune382.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (* x x)) 1/360)
0.1b	(* x (* x x))
0.1b	(* x (* x x))
0.2b	(* (* x x) 1/12)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
28×	`add-cbrt-cube` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`pow-prod-up`
8×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`*-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr`

Counts

4 → 88

Calls

4 calls:

77.0ms	(* (* x (* x x)) 1/360)
17.0ms	(* x (* x x))
17.0ms	(* x (* x x))
17.0ms	(* (* x x) 1/12)

series200.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* x (* x x)) 1/360)
36.0ms	(* x (* x x))
50.0ms	(* x (* x x))
53.0ms	(* (* x x) 1/12)

simplify2.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	2251
1	253
0	87

prune416.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* x (* x x))
0.2b	(* (* x x) 1/12)
3.3b	(log (exp (* (* x x) 1/12)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

38×	`pow1`
19×	`add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
10×	`pow-prod-up`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
5×	`associate-r` `add-log-exp`
3×	`log-prod` `log-pow` `*-commutative` `unswap-sqr`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr`
1×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

4 → 81

Calls

4 calls:

14.0ms	(* x (* x x))
29.0ms	(* x (* x x))
29.0ms	(* (* x x) 1/12)
6.0ms	(log (exp (* (* x x) 1/12)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* x (* x x))
60.0ms	(* x (* x x))
39.0ms	(* (* x x) 1/12)
39.0ms	(log (exp (* (* x x) 1/12)))

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1608
1	195
0	78

prune374.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.4b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

14.0ms	(- (exp x) 2.0)
78.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(- (exp x) 2.0)
68.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify949.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	825
1	215
0	93

prune141.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	20
1	20
0	13

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.6s	5650×	body	1280	valid
432.0ms	8188×	body	80	valid
340.0ms	1220×	body	640	valid
214.0ms	636×	body	320	valid
38.0ms	333×	body	160	valid