Details

sample86.0ms

Algorithm

intervals

Results

37.0ms	121×	body	1280	valid
14.0ms	72×	body	640	valid
7.0ms	399×	pre	80	true
5.0ms	41×	body	320	valid
4.0ms	146×	body	80	valid
1.0ms	19×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize9.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) 1.0)

rewrite16.0ms

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:

16.0ms

(- (exp x) 1.0)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(- (exp x) 1.0)

simplify2.0s

Counts

17 → 17

Iterations

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

prune72.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:

23.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
15.0ms	(* x 1/6)

series104.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
21.0ms	(* x 1/6)

simplify1.2s

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
2	987
1	265
0	79

prune143.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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 x) (+ (exp x) 1.0)) (* 1.0 1.0))
4.8b	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

rewrite103.0ms

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` `flip3-+` `flip-+` `associate-/l`
2×	`+-commutative` `associate-+l+` `sum-log` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `div-exp` `div-inv` `distribute-lft-out`

Counts

4 → 69

Calls

4 calls:

11.0ms	(+ (exp x) 1.0)
52.0ms	(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
26.0ms	(+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0))
12.0ms	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
132.0ms	(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
63.0ms	(+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0))
21.0ms	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

simplify2.0s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1377
1	390
0	147

prune521.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ (* (exp x) (+ 1.0 (exp x))) 1.0)
0.0b	(/ (- (exp (* 3 x)) 1.0) (+ (* (exp x) (+ 1.0 (exp x))) 1.0))
4.8b	(- (exp (* 3 x)) 1.0)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
15×	`times-frac`
14×	`add-cube-cbrt`
10×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`pow1`
3×	`associate-/r*` `flip3-+` `flip-+`
2×	`+-commutative` `associate-+l+` `sum-log` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `div-exp` `div-inv` `distribute-lft-out`

Counts

4 → 79

Calls

4 calls:

9.0ms	(+ 1.0 (exp x))
25.0ms	(+ (* (exp x) (+ 1.0 (exp x))) 1.0)
53.0ms	(/ (- (exp (* 3 x)) 1.0) (+ (* (exp x) (+ 1.0 (exp x))) 1.0))
13.0ms	(- (exp (* 3 x)) 1.0)

series225.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ 1.0 (exp x))
57.0ms	(+ (* (exp x) (+ 1.0 (exp x))) 1.0)
125.0ms	(/ (- (exp (* 3 x)) 1.0) (+ (* (exp x) (+ 1.0 (exp x))) 1.0))
31.0ms	(- (exp (* 3 x)) 1.0)

simplify1.4s

Counts

91 → 91

Iterations

Iter	Nodes
done	5013
2	1342
1	382
0	149

prune432.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes29.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

765.0ms	3453×	body	1280	valid
390.0ms	2414×	body	640	valid
231.0ms	11959×	pre	80	true
134.0ms	1250×	body	320	valid
78.0ms	4142×	body	80	valid
38.0ms	700×	body	160	valid