Details

sample39.0ms

Algorithm

intervals

Results

17.0ms	122×	body	1280	valid
6.0ms	74×	body	640	valid
3.0ms	398×	pre	80	true
2.0ms	37×	body	320	valid
2.0ms	148×	body	80	valid
1.0ms	17×	body	160	valid

simplify3.0ms

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: 59.0b

localize3.0ms

Local error

Found 1 expressions with local error:

5.2b	(- (exp x) 1.0)

rewrite13.0ms

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:

13.0ms

(- (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 (67.0ms)

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

prune39.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:

31.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
7.0ms	(* 1/6 x)

series78.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
14.0ms	(* 1/6 x)

simplify2.0s

Counts

55 → 55

Iterations

Useful iterations: 2 (137.0ms)

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

prune98.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
5.2b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite167.0ms

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:

8.0ms	(+ (exp x) 1.0)
108.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
49.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series68.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ (exp x) 1.0)
39.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
22.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.7s

Counts

81 → 81

Iterations

Useful iterations: 3 (767.0ms)

Iter	Nodes	Cost
0	131	1338
1	319	1293
2	951	1179
3	3152	1035
done	5000	1035

prune138.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

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

rewrite539.0ms

Algorithm

rewrite-expression-head

Rules

116×	`exp-prod`
88×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
31×	`distribute-lft-out`
24×	`distribute-rgt-out`
23×	`pow-prod-down`
19×	`pow-sqr` `pow-prod-up`
14×	`distribute-lft1-in` `distribute-rgt1-in`
11×	`pow1` `add-cbrt-cube`
10×	`count-2`
9×	`add-exp-log`
8×	`exp-sum` `associate-/r/` `add-log-exp`
7×	`flip3-+` `flip-+`
4×	`frac-times` `times-frac` `swap-sqr` `associate-r` `associate-l` `associate-/l*` `unswap-sqr`
3×	`difference-of-squares`
2×	`cbrt-undiv` `flip3--` `associate-r/` `div-exp` `associate-l/` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv`

Counts

4 → 148

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
311.0ms	(/ (- (* (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))))
113.0ms	(* (exp (+ x x)) (exp (+ x x)))
98.0ms	(- (* (exp (+ x x)) (exp (+ x x))) (* (* 1.0 1.0) (* 1.0 1.0)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp x) 1.0)
83.0ms	(/ (- (* (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))))
21.0ms	(* (exp (+ x x)) (exp (+ x x)))
31.0ms	(- (* (exp (+ x x)) (exp (+ x x))) (* (* 1.0 1.0) (* 1.0 1.0)))

simplify1.0s

Counts

160 → 160

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	211	2800
1	609	2157
2	2795	1620
done	5001	1608

prune271.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes21.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

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

466.0ms	3430×	body	1280	valid
205.0ms	2508×	body	640	valid
91.0ms	12022×	pre	80	true
60.0ms	1243×	body	320	valid
49.0ms	4190×	body	80	valid
20.0ms	651×	body	160	valid