Details

sample168.0ms

Algorithm

intervals

Results

110.0ms	182×	body	1280	valid
24.0ms	282×	body	80	valid
15.0ms	39×	body	640	valid
5.0ms	19×	body	320	valid
1.0ms	7×	body	160	valid

simplify67.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

67.0ms

(+ (- (exp x) 2) (exp (- x)))

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.8b

localize17.0ms

Local error

Found 2 expressions with local error:

3.0b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite58.0ms

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

39.0ms	(+ (- (exp x) 2) (exp (- x)))
18.0ms	(- (exp x) 2)

series97.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

83.0ms	(+ (- (exp x) 2) (exp (- x)))
14.0ms	(- (exp x) 2)

simplify2.5s

Counts

25 → 43

Calls

25 calls:

Slowest

418.0ms	(+ (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) (exp 0)))
241.0ms	(+ (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) 1))
238.0ms	(+ (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp 0)))
217.0ms	(- (+ (exp (* -1 x)) (exp x)) 2)
217.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))

prune304.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
0.1b	(* 1/12 (* (* x x) (* x x)))
0.1b	(* (* (* (* x x) (* x x)) (* x x)) 1/360)

rewrite501.0ms

Algorithm

rewrite-expression-head

Rules

297×	`pow1`
101×	`pow-prod-down`
99×	`add-cbrt-cube` `add-exp-log`
72×	`pow-prod-up`
71×	`prod-exp` `cbrt-unprod`
44×	`pow-sqr`
36×	`pow-plus`
26×	`pow2`
7×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`swap-sqr`

Counts

4 → 203

Calls

4 calls:

Slowest

371.0ms	(* (* (* (* x x) (* x x)) (* x x)) 1/360)
72.0ms	(* 1/12 (* (* x x) (* x x)))
26.0ms	(* (* x x) (* x x))
25.0ms	(* (* x x) (* x x))

series257.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(* (* (* (* x x) (* x x)) (* x x)) 1/360)
68.0ms	(* (* x x) (* x x))
56.0ms	(* 1/12 (* (* x x) (* x x)))
55.0ms	(* (* x x) (* x x))

simplify15.7s

Counts

202 → 215

Calls

202 calls:

Slowest

833.0ms	(* (* (* (* x x) (* x x)) (* x x)) 1/360)
767.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))))
518.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))))
514.0ms	(* (* (* (* x x) (* x x)) (* x x)) 1/360)
513.0ms	(* (* (* (* x x) (* x x)) (* x x)) 1/360)

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (* (- (exp x) 2) (- (exp x) 2)) (* (exp (- x)) (exp (- x))))
0.0b	(* (- (exp x) 2) (- (exp x) 2))
0.0b	(* (exp (- x)) (exp (- x)))
0.0b	(/ (- (* (- (exp x) 2) (- (exp x) 2)) (* (exp (- x)) (exp (- x)))) (- (- (exp x) 2) (exp (- x))))

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

148×	`frac-sub`
144×	`frac-times`
121×	`exp-neg`
119×	`flip3--` `flip--`
104×	`neg-sub0` `exp-diff`
95×	`*-un-lft-identity`
76×	`exp-prod`
74×	`associate-/l/`
72×	`associate-l/` `associate-r/`
64×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
24×	`distribute-rgt-neg-in` `times-frac`
21×	`distribute-lft-out--`
20×	`distribute-lft-neg-in`
18×	`pow1`
17×	`un-div-inv` `difference-of-squares`
16×	`pow-prod-down`
14×	`pow-sqr` `pow-prod-up`
10×	`add-cbrt-cube` `swap-sqr`
8×	`neg-mul-1` `associate-r` `associate-l` `add-exp-log`
6×	`associate-/r*` `associate-/r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `insert-posit16` `associate-/l*`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 337

Calls

4 calls:

Slowest

141.0ms	(/ (- (* (- (exp x) 2) (- (exp x) 2)) (* (exp (- x)) (exp (- x)))) (- (- (exp x) 2) (exp (- x))))
85.0ms	(* (- (exp x) 2) (- (exp x) 2))
68.0ms	(- (* (- (exp x) 2) (- (exp x) 2)) (* (exp (- x)) (exp (- x))))
23.0ms	(* (exp (- x)) (exp (- x)))

series400.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

254.0ms	(/ (- (* (- (exp x) 2) (- (exp x) 2)) (* (exp (- x)) (exp (- x)))) (- (- (exp x) 2) (exp (- x))))
95.0ms	(- (* (- (exp x) 2) (- (exp x) 2)) (* (exp (- x)) (exp (- x))))
33.0ms	(* (- (exp x) 2) (- (exp x) 2))
18.0ms	(* (exp (- x)) (exp (- x)))

simplify1.3m

Counts

457 → 349

Calls

457 calls:

Slowest

692.0ms	(* (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2)))) (exp x))
675.0ms	(* (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2)))) (exp x))
646.0ms	(- (* (* (- (* (exp x) (exp x)) (* 2 2)) (- (* (exp x) (exp x)) (* 2 2))) (exp x)) (* (* (+ (exp x) 2) (+ (exp x) 2)) (exp (- x))))
633.0ms	(* (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2)))) (exp x))
617.0ms	(* (* (+ (exp x) 2) (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2)))) (* (exp x) (exp x)))

prune2.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (- (exp x) 2) (/ -1 (exp x)))
0.2b	(exp (+ (log (- (- (exp x) 2) (/ -1 (exp x)))) 0))
0.0b	(- (exp x) 2)
0.0b	(/ -1 (exp x))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `add-log-exp`
10×	`times-frac`
6×	`add-cbrt-cube`
5×	`pow1` `exp-prod` `flip3--` `add-exp-log` `flip--`
4×	`log-div` `exp-diff` `diff-log` `frac-sub` `associate-+l-` `insert-posit16` `distribute-lft-out--`
3×	`associate-/r` `sub-neg` `associate-/l` `difference-of-squares`
2×	`associate--l+` `distribute-lft-out` `rem-exp-log`
1×	`associate--l-` `cbrt-undiv` `clear-num` `sum-log` `frac-2neg` `div-exp` `exp-sum` `log-pow` `div-inv`

Counts

4 → 86

Calls

4 calls:

Slowest

40.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
17.0ms	(exp (+ (log (- (- (exp x) 2) (/ -1 (exp x)))) 0))
7.0ms	(- (exp x) 2)
4.0ms	(/ -1 (exp x))

series135.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

57.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
54.0ms	(exp (+ (log (- (- (exp x) 2) (/ -1 (exp x)))) 0))
12.0ms	(/ -1 (exp x))
12.0ms	(- (exp x) 2)

simplify2.8s

Counts

68 → 98

Calls

68 calls:

Slowest

274.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
208.0ms	(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
206.0ms	(exp (log (- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))))
185.0ms	(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
141.0ms	(exp (log (- (pow (- (exp x) 2) 3) (pow (/ -1 (exp x)) 3))))

prune566.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes27.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch2.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.5s	5680×	body	1280	valid
335.0ms	1210×	body	640	valid
331.0ms	8152×	body	80	valid
135.0ms	601×	body	320	valid
27.0ms	315×	body	160	valid