Details

sample99.0ms

Algorithm

intervals

Results

44.0ms	63×	body	1280	valid
22.0ms	45×	body	640	valid
13.0ms	129×	body	80	valid
4.0ms	11×	body	320	valid
2.0ms	8×	body	160	valid

simplify151.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

151.0ms

(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize17.0ms

Local error

Found 3 expressions with local error:

1.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

3 → 67

Calls

3 calls:

Slowest

48.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
10.0ms	(/ 2 (+ 1 (exp (* -2 x))))
5.0ms	(+ 1 (exp (* -2 x)))

series117.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

59.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
38.0ms	(/ 2 (+ 1 (exp (* -2 x))))
20.0ms	(+ 1 (exp (* -2 x)))

simplify6.9s

Counts

57 → 76

Calls

57 calls:

Slowest

374.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
296.0ms	(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
268.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
217.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
212.0ms	(* (exp 1) (exp (exp (* -2 x))))

prune721.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

1.9b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
0.0b	(/ 2 (+ (exp (* -2 x)) 1))
0.0b	(+ (exp (* -2 x)) 1)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

3 → 67

Calls

3 calls:

Slowest

68.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
13.0ms	(/ 2 (+ (exp (* -2 x)) 1))
8.0ms	(+ (exp (* -2 x)) 1)

series137.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

81.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
35.0ms	(/ 2 (+ (exp (* -2 x)) 1))
20.0ms	(+ (exp (* -2 x)) 1)

simplify6.8s

Counts

57 → 76

Calls

57 calls:

Slowest

336.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
268.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)))
238.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
208.0ms	(+ (* (exp (* -2 x)) (exp (* -2 x))) (- (* 1 1) (* (exp (* -2 x)) 1)))
177.0ms	(- (sqrt (/ 2 (+ (exp (* -2 x)) 1))) (sqrt 1))

prune677.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

21.2b	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
0.1b	(* (* x x) -1/3)
0.1b	(* (* (* x x) -1/3) x)
0.0b	(* (pow x 5) 2/15)

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+l+` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 82

Calls

4 calls:

Slowest

287.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
55.0ms	(* (* (* x x) -1/3) x)
18.0ms	(* (* x x) -1/3)
8.0ms	(* (pow x 5) 2/15)

series267.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

87.0ms	(* (pow x 5) 2/15)
83.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
62.0ms	(* (* (* x x) -1/3) x)
35.0ms	(* (* x x) -1/3)

simplify4.3s

Counts

55 → 94

Calls

55 calls:

Slowest

607.0ms	(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
352.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
349.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
335.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
297.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/3 -1/3) -1/3))

prune677.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes124.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.0b

bsearch167.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.3s	1737×	body	1280	valid
465.0ms	1194×	body	640	valid
345.0ms	4142×	body	80	valid
153.0ms	626×	body	320	valid
50.0ms	301×	body	160	valid