Details

sample77.0ms

Algorithm

intervals

Results

31.0ms	112×	body	1280	valid
13.0ms	81×	body	640	valid
7.0ms	403×	pre	80	true
4.0ms	152×	body	80	valid
4.0ms	37×	body	320	valid
1.0ms	21×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	6	4
2	7	4
done	7	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize4.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

11.0ms

(- (exp x) 1.0)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(- (exp x) 1.0)

simplify2.3s

Counts

17 → 17

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	39	132
1	83	127
2	224	119
3	690	117
4	2920	117
done	5000	117

prune65.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`associate-l`
9×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1` `unpow-prod-down` `prod-exp`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2` `add-log-exp` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

2 → 49

Calls

2 calls:

38.0ms	(* (pow x 2) (+ 1/2 (* x 1/6)))
15.0ms	(* x 1/6)

series139.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(* (pow x 2) (+ 1/2 (* x 1/6)))
22.0ms	(* x 1/6)

simplify1.5s

Counts

55 → 55

Iterations

Useful iterations: 2 (749.0ms)

Iter	Nodes	Cost
0	90	542
1	265	502
2	1419	443
done	5000	443

prune180.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(pow (exp x) 3)
0.0b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x))))
5.5b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
80×	`difference-of-squares`
75×	`times-frac`
63×	`unpow-prod-down` `cube-prod`
41×	`sqr-pow`
38×	`add-cube-cbrt`
25×	`associate-/l*` `distribute-lft-out--`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `difference-cubes`
4×	`pow-pow`
3×	`pow-unpow` `exp-prod` `associate-/r*`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 192

Calls

4 calls:

18.0ms	(+ (exp x) 1.0)
9.0ms	(pow (exp x) 3)
189.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x))))
62.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series229.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (exp x) 1.0)
39.0ms	(pow (exp x) 3)
134.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x))))
41.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify2.0s

Counts

204 → 204

Iterations

Useful iterations: 2 (508.0ms)

Iter	Nodes	Cost
0	258	5404
1	680	5088
2	2938	4973
done	5001	4973

prune624.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample2.3s

Algorithm

intervals

Results

982.0ms	3550×	body	1280	valid
465.0ms	2445×	body	640	valid
245.0ms	11935×	pre	80	true
118.0ms	1240×	body	320	valid
98.0ms	4122×	body	80	valid
38.0ms	578×	body	160	valid