Details

sample75.0ms

Algorithm

intervals

Results

31.0ms	105×	body	1280	valid
12.0ms	72×	body	640	valid
6.0ms	55×	body	320	valid
6.0ms	352×	pre	80	true
3.0ms	102×	body	80	valid
1.0ms	18×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize7.0ms

Local error

Found 1 expressions with local error:

5.5b	(- (exp x) 1.0)

rewrite22.0ms

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:

22.0ms

(- (exp x) 1.0)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(- (exp x) 1.0)

simplify1.6s

Counts

17 → 17

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	39	132
1	116	127
2	466	117
done	5001	117

prune46.0ms

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

25.0ms	(* (+ 1/2 (* 1/6 x)) (pow x 2))
10.0ms	(* 1/6 x)

series118.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(* (+ 1/2 (* 1/6 x)) (pow x 2))
27.0ms	(* 1/6 x)

simplify2.5s

Counts

53 → 53

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	88	521
1	1180	462
done	5000	419

prune164.0ms

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))

rewrite293.0ms

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:

186.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
12.0ms	(+ (exp x) 1.0)
90.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series92.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
9.0ms	(+ (exp x) 1.0)
32.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify3.4s

Counts

81 → 81

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	131	1338
1	1117	1252
done	5000	1173

prune270.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (sqrt (+ (exp x) 1.0)))
0.1b	(* (/ 1 (sqrt (+ (exp x) 1.0))) (/ (- (exp (+ x x)) (* 1.0 1.0)) (sqrt (+ (exp x) 1.0))))
1.0b	(/ 1 (sqrt (+ (exp x) 1.0)))
5.4b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

134×	`add-sqr-sqrt` `times-frac`
114×	`*-un-lft-identity`
83×	`sqrt-prod`
72×	`add-cube-cbrt`
41×	`associate-r`
32×	`add-exp-log` `difference-of-squares`
27×	`associate-l`
20×	`add-cbrt-cube`
18×	`distribute-lft-out`
16×	`exp-sum`
15×	`unswap-sqr`
14×	`associate-/r*`
11×	`div-exp`
8×	`pow1` `sqrt-div` `prod-exp` `associate-/r/` `associate-/l*`
6×	`cbrt-undiv` `add-log-exp`
4×	`flip3-+` `cbrt-unprod` `flip-+` `div-inv`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/`
1×	`frac-times` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 236

Calls

4 calls:

233.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (sqrt (+ (exp x) 1.0)))
307.0ms	(* (/ 1 (sqrt (+ (exp x) 1.0))) (/ (- (exp (+ x x)) (* 1.0 1.0)) (sqrt (+ (exp x) 1.0))))
407.0ms	(/ 1 (sqrt (+ (exp x) 1.0)))
75.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series273.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (sqrt (+ (exp x) 1.0)))
49.0ms	(* (/ 1 (sqrt (+ (exp x) 1.0))) (/ (- (exp (+ x x)) (* 1.0 1.0)) (sqrt (+ (exp x) 1.0))))
48.0ms	(/ 1 (sqrt (+ (exp x) 1.0)))
33.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify745.0ms

Counts

248 → 248

Iterations

Useful iterations: done (737.0ms)

Iter	Nodes	Cost
0	301	5639
done	5001	5098

prune751.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes15.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.1s

Algorithm

intervals

Results

915.0ms	3466×	body	1280	valid
425.0ms	2484×	body	640	valid
200.0ms	11982×	pre	80	true
108.0ms	1231×	body	320	valid
90.0ms	4170×	body	80	valid
34.0ms	631×	body	160	valid