Details

sample164.0ms

Algorithm

intervals

Results

122.0ms	192×	body	1280	valid
14.0ms	242×	body	80	valid
10.0ms	32×	body	640	valid
4.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid

simplify245.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize12.0ms

Local error

Found 2 expressions with local error:

4.5b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`neg-sub0` `exp-neg` `pow1` `associate-+l+` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

Slowest

58.0ms	(+ (- (exp x) 2) (exp (- x)))
8.0ms	(- (exp x) 2)

series90.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

77.0ms	(+ (- (exp x) 2) (exp (- x)))
13.0ms	(- (exp x) 2)

simplify847.0ms

Counts: 51 → 43

prune418.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.1b	(* (* (* x x) x) (* (* x x) x))
0.1b	(* (* x x) x)
0.1b	(* (* x x) x)

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

695×	`pow1`
326×	`pow-prod-up`
221×	`pow-plus`
120×	`pow-prod-down`
112×	`pow-sqr`
70×	`pow2`
62×	`add-cbrt-cube` `add-exp-log`
41×	`prod-exp` `cbrt-unprod`
24×	`pow3`
8×	`add-sqr-sqrt` `associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`swap-sqr`

Counts

4 → 314

Calls

4 calls:

Slowest

153.0ms	(* (* (* x x) x) (* (* x x) x))
51.0ms	(* (* x x) (* x x))
30.0ms	(* (* x x) x)
30.0ms	(* (* x x) x)

series255.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(* (* (* x x) x) (* (* x x) x))
68.0ms	(* (* x x) (* x x))
63.0ms	(* (* x x) x)
41.0ms	(* (* x x) x)

simplify786.0ms

Counts: 323 → 326

prune2.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

4.2b	(+ (* (exp x) (+ 2 (+ -8 (* (* (exp x) (exp x)) (exp x))))) (+ 4 (* (exp x) (exp x))))
0.0b	(* (+ 4 (* (+ (exp x) 2) (exp x))) (exp x))
0.0b	(* (+ (exp x) 2) (exp x))
0.0b	(* (exp x) (+ 2 (+ -8 (* (* (exp x) (exp x)) (exp x)))))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
10×	`pow1` `add-cbrt-cube` `associate-r` `associate-l` `add-cube-cbrt`
9×	`add-log-exp`
8×	`flip3-+` `flip-+`
7×	`add-exp-log`
6×	`associate-*r/`
4×	`associate-*l/` `frac-add` `insert-posit16`
3×	`sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `distribute-lft-out`
1×	`+-commutative` `associate-+r+`

Counts

4 → 87

Calls

4 calls:

Slowest

61.0ms	(* (exp x) (+ 2 (+ -8 (* (* (exp x) (exp x)) (exp x)))))
32.0ms	(* (+ (exp x) 2) (exp x))
29.0ms	(* (+ 4 (* (+ (exp x) 2) (exp x))) (exp x))
22.0ms	(+ (* (exp x) (+ 2 (+ -8 (* (* (exp x) (exp x)) (exp x))))) (+ 4 (* (exp x) (exp x))))

series309.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

142.0ms	(+ (* (exp x) (+ 2 (+ -8 (* (* (exp x) (exp x)) (exp x))))) (+ 4 (* (exp x) (exp x))))
66.0ms	(* (+ 4 (* (+ (exp x) 2) (exp x))) (exp x))
64.0ms	(* (exp x) (+ 2 (+ -8 (* (* (exp x) (exp x)) (exp x)))))
38.0ms	(* (+ (exp x) 2) (exp x))

simplify339.0ms

Counts: 106 → 99

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

4.2b	(+ (* (exp x) (+ 2 (+ -8 (* (* (exp x) (exp x)) (exp x))))) (+ 4 (* (exp x) (exp x))))
0.0b	(* (* (+ 4 (* (+ (exp x) 2) (exp x))) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x)))
0.0b	(* (cbrt (exp x)) (cbrt (exp x)))
0.0b	(* (exp x) (+ 2 (+ -8 (* (* (exp x) (exp x)) (exp x)))))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`pow1`
19×	`cbrt-prod`
18×	`*-un-lft-identity`
16×	`associate-r` `add-exp-log` `add-cube-cbrt`
10×	`add-cbrt-cube` `associate-l`
9×	`pow-prod-down` `add-log-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`flip3-+` `flip-+`
6×	`pow1/3` `swap-sqr` `associate-*r/`
5×	`unswap-sqr`
4×	`associate-*l/` `frac-add` `insert-posit16`
3×	`sum-log` `*-commutative`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-sqr` `pow-prod-up`
1×	`pow2` `+-commutative` `associate-+r+` `pow-plus` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

Slowest

134.0ms	(* (* (+ 4 (* (+ (exp x) 2) (exp x))) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x)))
50.0ms	(* (exp x) (+ 2 (+ -8 (* (* (exp x) (exp x)) (exp x)))))
44.0ms	(+ (* (exp x) (+ 2 (+ -8 (* (* (exp x) (exp x)) (exp x))))) (+ 4 (* (exp x) (exp x))))
13.0ms	(* (cbrt (exp x)) (cbrt (exp x)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

134.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
103.0ms	(+ (* (exp x) (+ 2 (+ -8 (* (* (exp x) (exp x)) (exp x))))) (+ 4 (* (exp x) (exp x))))
79.0ms	(* (* (+ 4 (* (+ (exp x) 2) (exp x))) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x)))
69.0ms	(* (exp x) (+ 2 (+ -8 (* (* (exp x) (exp x)) (exp x)))))

simplify354.0ms

Counts: 138 → 124

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes38.0ms

Accuracy

0% (0.6b remaining)

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

bsearch2.0ms

end0.0ms

sample5.5s

Algorithm

intervals

Results

4.0s	5739×	body	1280	valid
700.0ms	1215×	body	640	valid
464.0ms	8069×	body	80	valid
121.0ms	599×	body	320	valid
37.0ms	289×	body	160	valid