Details

sample55.0ms

Algorithm

intervals

Results

20.0ms	111×	body	1280	valid
8.0ms	73×	body	640	valid
4.0ms	380×	pre	80	true
3.0ms	48×	body	320	valid
2.0ms	129×	body	80	valid
1.0ms	19×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize9.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) 1.0)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

8.0ms

(- (exp x) 1.0)

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(- (exp x) 1.0)

simplify2.2s

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
5	2457
4	907
3	416
2	196
1	83
0	39

prune118.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x x) (+ 1/2 (* x 1/6)))
0.3b	(* x 1/6)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 41

Calls

2 calls:

34.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
6.0ms	(* x 1/6)

series122.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
28.0ms	(* x 1/6)

simplify1.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
2	987
1	265
0	79

prune176.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
0.0b	(exp (* 3 x))
5.6b	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

7.0ms	(+ (exp x) 1.0)
70.0ms	(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
6.0ms	(exp (* 3 x))
25.0ms	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

series146.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
108.0ms	(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
7.0ms	(exp (* 3 x))
22.0ms	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

simplify1.4s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1282
1	361
0	139

prune393.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

5.4b	(+ (exp x) (- 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity` `add-log-exp`
2×	`sum-log` `distribute-lft-out`
1×	`neg-sub0` `add-sqr-sqrt` `pow1` `+-commutative` `associate-+r-` `distribute-rgt-neg-in` `flip3-+` `add-cbrt-cube` `unsub-neg` `neg-log` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 17

Calls

1 calls:

16.0ms

(+ (exp x) (- 1.0))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(+ (exp x) (- 1.0))

simplify2.1s

Counts

20 → 20

Iterations

Iter	Nodes
done	5001
4	2757
3	1188
2	388
1	116
0	42

prune76.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes160.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

937.0ms	3370×	body	1280	valid
797.0ms	2589×	body	640	valid
331.0ms	11976×	pre	80	true
124.0ms	1239×	body	320	valid
95.0ms	4149×	body	80	valid
39.0ms	629×	body	160	valid