Details

sample52.0ms

Algorithm

intervals

Results

22.0ms	103×	body	1280	valid
8.0ms	78×	body	640	valid
4.0ms	365×	pre	80	true
3.0ms	48×	body	320	valid
2.0ms	119×	body	80	valid
1.0ms	17×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize5.0ms

Local error

Found 1 expressions with local error:

5.5b	(- (exp x) 1.0)

rewrite14.0ms

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:

14.0ms

(- (exp x) 1.0)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(- (exp x) 1.0)

simplify1.8s

Counts

17 → 17

Iterations

Iter	Nodes
done	5002
4	2834
3	681
2	221
1	83
0	39

prune124.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

35.0ms	(* (+ (* x 1/6) 1/2) (* x x))
6.0ms	(* x 1/6)

series109.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(* (+ (* x 1/6) 1/2) (* x x))
24.0ms	(* x 1/6)

simplify1.4s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
2	1361
1	221
0	73

prune150.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0))
0.0b	(exp (* x 3))
0.0b	(/ (- (exp (* x 3)) (* (* 1.0 1.0) 1.0)) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
5.4b	(- (exp (* x 3)) (* (* 1.0 1.0) 1.0))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

18×	`times-frac`
15×	`add-sqr-sqrt` `difference-cubes` `*-un-lft-identity` `pow3` `add-cube-cbrt` `add-log-exp`
6×	`exp-lft-cube` `exp-prod` `add-cbrt-cube` `exp-to-pow` `add-exp-log` `associate-/l*`
4×	`pow1`
3×	`associate-/r*`
2×	`associate-+l+` `flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `div-exp` `div-inv` `rem-exp-log`

Counts

4 → 83

Calls

4 calls:

19.0ms	(+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0))
6.0ms	(exp (* x 3))
108.0ms	(/ (- (exp (* x 3)) (* (* 1.0 1.0) 1.0)) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
18.0ms	(- (exp (* x 3)) (* (* 1.0 1.0) 1.0))

series178.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0))
7.0ms	(exp (* x 3))
103.0ms	(/ (- (exp (* x 3)) (* (* 1.0 1.0) 1.0)) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
21.0ms	(- (exp (* x 3)) (* (* 1.0 1.0) 1.0))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1484
1	378
0	144

prune453.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (* (+ (exp x) 1.0) 1.0) (* (exp x) (exp x))) (- (exp x) 1.0)) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
0.0b	(* (+ (* (+ (exp x) 1.0) 1.0) (* (exp x) (exp x))) (- (exp x) 1.0))
0.0b	(* (exp x) (exp x))
5.5b	(- (exp x) 1.0)

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`exp-prod` `add-cube-cbrt`
13×	`pow1` `add-cbrt-cube`
11×	`add-exp-log`
8×	`frac-times` `associate-r` `associate-/l/`
7×	`flip3-+` `flip3--` `flip-+` `flip--`
6×	`associate-l` `add-log-exp`
5×	`pow-prod-down`
4×	`associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
3×	`associate-/r*` `sub-neg` `times-frac` `swap-sqr` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `associate-/r/` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `diff-log` `div-inv` `associate-/l*`

Counts

4 → 111

Calls

4 calls:

71.0ms	(/ (* (+ (* (+ (exp x) 1.0) 1.0) (* (exp x) (exp x))) (- (exp x) 1.0)) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
98.0ms	(* (+ (* (+ (exp x) 1.0) 1.0) (* (exp x) (exp x))) (- (exp x) 1.0))
15.0ms	(* (exp x) (exp x))
8.0ms	(- (exp x) 1.0)

series283.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ (* (+ (* (+ (exp x) 1.0) 1.0) (* (exp x) (exp x))) (- (exp x) 1.0)) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
131.0ms	(* (+ (* (+ (exp x) 1.0) 1.0) (* (exp x) (exp x))) (- (exp x) 1.0))
24.0ms	(* (exp x) (exp x))
21.0ms	(- (exp x) 1.0)

simplify4.0s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	4638
1	603
0	190

prune677.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample2.4s

Algorithm

intervals

Results

883.0ms	3404×	body	1280	valid
607.0ms	11967×	pre	80	true
437.0ms	2527×	body	640	valid
118.0ms	1310×	body	320	valid
89.0ms	4142×	body	80	valid
34.0ms	584×	body	160	valid