Details

sample61.0ms

Algorithm

intervals

Results

25.0ms	116×	body	1280	valid
10.0ms	87×	body	640	valid
5.0ms	385×	pre	80	true
3.0ms	136×	body	80	valid
3.0ms	30×	body	320	valid
1.0ms	16×	body	160	valid

simplify6.0ms

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: 58.3b

localize10.0ms

Local error

Found 1 expressions with local error:

5.1b	(- (exp x) 1.0)

rewrite18.0ms

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:

17.0ms

(- (exp x) 1.0)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- (exp x) 1.0)

simplify1.9s

Counts

17 → 17

Iterations

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

prune89.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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:

56.0ms	(* (+ (* x 1/6) 1/2) (* x x))
5.0ms	(* x 1/6)

series169.0ms

Counts

2 → 6

Calls

2 calls:

140.0ms	(* (+ (* x 1/6) 1/2) (* x x))
29.0ms	(* x 1/6)

simplify1.6s

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: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.1b	(+ (exp x) (- 1.0))

rewrite10.0ms

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:

9.0ms

(+ (exp x) (- 1.0))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(+ (exp x) (- 1.0))

simplify2.9s

Counts

20 → 20

Iterations

Iter	Nodes
done	5002
3	4550
2	513
1	116
0	42

prune73.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (+ (exp x) 1.0))
0.0b	(+ (exp x) 1.0)
0.5b	(/ (- (exp (* x 3)) (* (* 1.0 1.0) 1.0)) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
5.3b	(- (exp (* x 3)) (* (* 1.0 1.0) 1.0))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
18×	`times-frac`
17×	`add-cube-cbrt`
15×	`difference-cubes` `pow3`
13×	`add-log-exp`
8×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`pow1` `associate-/l*`
5×	`exp-lft-cube` `exp-prod` `exp-to-pow`
4×	`associate-r`
3×	`associate-/r` `flip3-+` `associate-l*` `flip-+`
2×	`flip3--` `associate-*r/` `associate-/r/` `flip--` `distribute-lft-out` `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` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

43.0ms	(* (exp x) (+ (exp x) 1.0))
7.0ms	(+ (exp x) 1.0)
105.0ms	(/ (- (exp (* x 3)) (* (* 1.0 1.0) 1.0)) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
35.0ms	(- (exp (* x 3)) (* (* 1.0 1.0) 1.0))

series170.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (exp x) (+ (exp x) 1.0))
9.0ms	(+ (exp x) 1.0)
109.0ms	(/ (- (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))

simplify1.9s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	2566
1	482
0	167

prune580.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.5b 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

sample2.1s

Algorithm

intervals

Results

877.0ms	3439×	body	1280	valid
420.0ms	2518×	body	640	valid
278.0ms	11878×	pre	80	true
124.0ms	4088×	body	80	valid
113.0ms	1217×	body	320	valid
54.0ms	616×	body	160	valid