Details

sample37.0ms

Algorithm

intervals

Results

14.0ms	102×	body	1280	valid
7.0ms	83×	body	640	valid
3.0ms	374×	pre	80	true
2.0ms	49×	body	320	valid
1.0ms	121×	body	80	valid
1.0ms	19×	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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize3.0ms

Local error

Found 1 expressions with local error:

6.5b	(- (exp x) 1.0)

rewrite10.0ms

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:

10.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify1.2s

Counts

17 → 17

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	39	132
1	83	127
2	177	119
3	328	117
4	668	117
5	1877	117
done	5000	117

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* 1/6 x) 1/2))
0.4b	(* 1/6 x)

rewrite36.0ms

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:

28.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
6.0ms	(* 1/6 x)

series85.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
15.0ms	(* 1/6 x)

simplify2.1s

Counts

55 → 55

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	89	542
1	247	491
2	804	442
3	3290	442
done	5000	442

prune99.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
7.0b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`times-frac`
19×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`difference-of-squares`
6×	`exp-sum` `distribute-lft-out`
5×	`associate-/l*`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 60

Calls

2 calls:

109.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
50.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series63.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
20.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.8s

Counts

66 → 66

Iterations

Useful iterations: 3 (757.0ms)

Iter	Nodes	Cost
0	119	1226
1	295	1186
2	909	1080
3	3153	936
done	5000	936

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp (* x 4)) (* (* 1.0 1.0) (+ (exp (+ x x)) (* 1.0 1.0)))) (+ (exp x) 1.0))
0.0b	(pow (exp (+ x x)) 3)
0.0b	(/ (- (pow (exp (+ x x)) 3) (pow (* 1.0 1.0) 3)) (* (+ (exp (* x 4)) (* (* 1.0 1.0) (+ (exp (+ x x)) (* 1.0 1.0)))) (+ (exp x) 1.0)))
7.0b	(- (pow (exp (+ x x)) 3) (pow (* 1.0 1.0) 3))

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt` `difference-of-squares`
46×	`unpow-prod-down` `cube-prod`
31×	`sqr-pow`
29×	`times-frac` `associate-/l*`
26×	`*-un-lft-identity` `exp-sum`
16×	`add-cube-cbrt`
13×	`pow-pow`
12×	`exp-prod` `flip3-+` `add-cbrt-cube` `flip-+`
11×	`add-exp-log`
8×	`frac-times` `associate-/r/`
7×	`pow1`
6×	`add-log-exp`
4×	`associate-r/` `associate-r` `associate-l/` `distribute-lft-out`
3×	`difference-cubes` `pow-unpow` `distribute-rgt-out` `associate-l` `distribute-lft-out--`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `distribute-lft-in` `distribute-lft1-in` `count-2` `diff-log` `unpow3` `div-sub` `pow-prod-down` `distribute-rgt1-in` `pow-exp` `clear-num` `associate-/r` `-commutative` `div-inv` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 188

Calls

4 calls:

51.0ms	(* (+ (exp (* x 4)) (* (* 1.0 1.0) (+ (exp (+ x x)) (* 1.0 1.0)))) (+ (exp x) 1.0))
20.0ms	(pow (exp (+ x x)) 3)
201.0ms	(/ (- (pow (exp (+ x x)) 3) (pow (* 1.0 1.0) 3)) (* (+ (exp (* x 4)) (* (* 1.0 1.0) (+ (exp (+ x x)) (* 1.0 1.0)))) (+ (exp x) 1.0)))
88.0ms	(- (pow (exp (+ x x)) 3) (pow (* 1.0 1.0) 3))

series266.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (+ (exp (* x 4)) (* (* 1.0 1.0) (+ (exp (+ x x)) (* 1.0 1.0)))) (+ (exp x) 1.0))
31.0ms	(pow (exp (+ x x)) 3)
132.0ms	(/ (- (pow (exp (+ x x)) 3) (pow (* 1.0 1.0) 3)) (* (+ (exp (* x 4)) (* (* 1.0 1.0) (+ (exp (+ x x)) (* 1.0 1.0)))) (+ (exp x) 1.0)))
45.0ms	(- (pow (exp (+ x x)) 3) (pow (* 1.0 1.0) 3))

simplify1.6s

Counts

200 → 200

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	290	6102
1	804	5819
2	3604	5151
done	5000	4987

prune573.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes25.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.1s

Algorithm

intervals

Results

468.0ms	3433×	body	1280	valid
201.0ms	2489×	body	640	valid
98.0ms	11975×	pre	80	true
61.0ms	1271×	body	320	valid
44.0ms	4174×	body	80	valid
20.0ms	608×	body	160	valid