Details

sample88.0ms

Algorithm

intervals

Results

40.0ms	105×	body	1280	valid
13.0ms	72×	body	640	valid
7.0ms	55×	body	320	valid
6.0ms	352×	pre	80	true
3.0ms	102×	body	80	valid
1.0ms	18×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize4.0ms

Local error

Found 1 expressions with local error:

5.5b	(- (exp x) 1.0)

rewrite11.0ms

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)

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(- (exp x) 1.0)

simplify1.8s

Counts

17 → 17

Iterations

Useful iterations: 3 (150.0ms)

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

prune71.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:

34.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
13.0ms	(* 1/6 x)

series100.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
16.0ms	(* 1/6 x)

simplify3.1s

Counts

55 → 55

Iterations

Useful iterations: 2 (205.0ms)

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

prune124.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

161.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
18.0ms	(+ (exp x) 1.0)
83.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series93.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
13.0ms	(+ (exp x) 1.0)
28.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify2.5s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	131	1338
1	319	1293
2	951	1179
3	3146	1035
done	5000	1035

prune203.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite679.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
443.0ms	(/ (- (* (exp (+ x x)) (exp (+ x x))) (* (* 1.0 1.0) (* 1.0 1.0))) (* (+ (exp x) 1.0) (+ (exp (+ x x)) (* 1.0 1.0))))
79.0ms	(+ (exp (+ x x)) (* 1.0 1.0))
144.0ms	(- (* (exp (+ x x)) (exp (+ x x))) (* (* 1.0 1.0) (* 1.0 1.0)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (exp x) 1.0)
115.0ms	(/ (- (* (exp (+ x x)) (exp (+ x x))) (* (* 1.0 1.0) (* 1.0 1.0))) (* (+ (exp x) 1.0) (+ (exp (+ x x)) (* 1.0 1.0))))
15.0ms	(+ (exp (+ x x)) (* 1.0 1.0))
38.0ms	(- (* (exp (+ x x)) (exp (+ x x))) (* (* 1.0 1.0) (* 1.0 1.0)))

simplify1.4s

Counts

82 → 82

Iterations

Useful iterations: 2 (374.0ms)

Iter	Nodes	Cost
0	157	2172
1	492	1798
2	2472	1339
done	5002	1339

prune363.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes16.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.5s

Algorithm

intervals

Results

864.0ms	3466×	body	1280	valid
608.0ms	11982×	pre	80	true
395.0ms	2484×	body	640	valid
157.0ms	1231×	body	320	valid
133.0ms	4170×	body	80	valid
36.0ms	631×	body	160	valid