Details

sample89.0ms

Algorithm

intervals

Results

58.0ms	181×	body	1280	valid
8.0ms	43×	body	640	valid
6.0ms	231×	body	80	valid
2.0ms	19×	body	320	valid
0.0ms	6×	body	160	valid

simplify100.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	40	8
4	49	8
5	54	8
6	63	8
7	80	8
8	95	8
9	103	8
10	111	8
done	111	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.6b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `expm1-log1p-u` `sub-neg` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

2 → 65

Calls

2 calls:

11.0ms	(- (exp x) 2.0)
55.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series74.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
61.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.9s

Counts

71 → 71

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	124	914
1	274	729
2	709	628
3	3051	557
done	5000	554

prune162.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.1b	(* 1/12 (pow x 4))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-l` `prod-exp` `unswap-sqr`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 37

Calls

2 calls:

0.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
13.0ms	(* 1/12 (pow x 4))

series169.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
41.0ms	(* 1/12 (pow x 4))

simplify1.3s

Counts

43 → 43

Iterations

Useful iterations: 3 (201.0ms)

Iter	Nodes	Cost
0	67	403
1	125	371
2	284	345
3	930	342
done	5000	342

prune114.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp x) 2.0)
0.0b	(- (exp x) 2.0)
0.0b	(pow (- (exp x) 2.0) 3)
5.5b	(+ (exp (* x -3)) (pow (- (exp x) 2.0) 3))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
18×	`prod-diff`
10×	`add-log-exp`
6×	`fma-neg`
5×	`pow1` `add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`pow-unpow` `flip3--` `fma-def` `flip--`
2×	`cube-div` `sub-neg` `diff-log`
1×	`+-commutative` `cube-mult` `pow-to-exp` `pow-pow` `flip3-+` `unpow3` `pow-exp` `sum-log` `flip-+` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 104

Calls

4 calls:

13.0ms	(- (exp x) 2.0)
11.0ms	(- (exp x) 2.0)
14.0ms	(pow (- (exp x) 2.0) 3)
48.0ms	(+ (exp (* x -3)) (pow (- (exp x) 2.0) 3))

series199.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (exp x) 2.0)
14.0ms	(- (exp x) 2.0)
45.0ms	(pow (- (exp x) 2.0) 3)
127.0ms	(+ (exp (* x -3)) (pow (- (exp x) 2.0) 3))

simplify674.0ms

Counts

116 → 116

Iterations

Useful iterations: done (671.0ms)

Iter	Nodes	Cost
0	148	1419
1	382	1151
2	1100	1006
done	5000	963

prune365.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- (exp x) 2.0))
0.0b	(* (* (cbrt (- (exp x) 2.0)) (cbrt (- (exp x) 2.0))) (cbrt (- (exp x) 2.0)))
0.0b	(pow (- (exp x) 2.0) 3)
5.5b	(+ (exp (* x -3)) (pow (- (exp x) 2.0) 3))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

56×	`cbrt-div`
29×	`flip3--` `flip--`
28×	`frac-times`
24×	`pow1`
21×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`associate-*l/`
11×	`cbrt-prod` `add-cube-cbrt`
10×	`add-exp-log` `pow1/3`
9×	`pow-prod-up`
8×	`associate-r/` `associate-r*`
6×	`pow-plus` `add-cbrt-cube` `add-log-exp`
5×	`unpow-prod-down` `cube-prod` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`pow-unpow` `fma-def` `prod-exp` `pow-sqr` `cbrt-unprod`
2×	`cube-div` `pow2` `unswap-sqr`
1×	`+-commutative` `cube-mult` `pow-to-exp` `pow-pow` `flip3-+` `unpow3` `associate-l` `pow3` `pow-exp` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 130

Calls

4 calls:

6.0ms	(cbrt (- (exp x) 2.0))
109.0ms	(* (* (cbrt (- (exp x) 2.0)) (cbrt (- (exp x) 2.0))) (cbrt (- (exp x) 2.0)))
14.0ms	(pow (- (exp x) 2.0) 3)
48.0ms	(+ (exp (* x -3)) (pow (- (exp x) 2.0) 3))

series330.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (- (exp x) 2.0))
14.0ms	(* (* (cbrt (- (exp x) 2.0)) (cbrt (- (exp x) 2.0))) (cbrt (- (exp x) 2.0)))
42.0ms	(pow (- (exp x) 2.0) 3)
131.0ms	(+ (exp (* x -3)) (pow (- (exp x) 2.0) 3))

simplify916.0ms

Counts

142 → 142

Iterations

Useful iterations: done (910.0ms)

Iter	Nodes	Cost
0	236	2625
1	561	2119
2	1675	1891
done	5001	1876

prune497.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes31.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	11	13
done	11	13

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.6s	5682×	body	1280	valid
185.0ms	1210×	body	640	valid
177.0ms	7869×	body	80	valid
61.0ms	652×	body	320	valid
17.0ms	292×	body	160	valid