Details

sample78.0ms

Algorithm

intervals

Results

29.0ms	53×	body	1280	valid
16.0ms	36×	body	640	valid
12.0ms	131×	body	80	valid
6.0ms	22×	body	320	valid
3.0ms	14×	body	160	valid

simplify162.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

161.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize18.0ms

Local error

Found 3 expressions with local error:

3.8b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite97.0ms

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

64.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
21.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))

series148.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

95.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
35.0ms	(/ 2 (+ 1 (exp (* -2 x))))
18.0ms	(+ 1 (exp (* -2 x)))

simplify13.5s

Counts

98 → 76

Calls

98 calls:

Slowest

668.0ms	(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
610.0ms	(- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x))))
445.0ms	(* (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (/ 2 (+ 1 (exp (* -2 x)))))
376.0ms	(+ (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (+ (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1)))
376.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune720.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

3.8b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite76.0ms

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

57.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
10.0ms	(/ 2 (+ 1 (exp (* -2 x))))
7.0ms	(+ 1 (exp (* -2 x)))

series118.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

79.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
21.0ms	(/ 2 (+ 1 (exp (* -2 x))))
17.0ms	(+ 1 (exp (* -2 x)))

simplify14.6s

Counts

98 → 76

Calls

98 calls:

Slowest

1.1s	(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
669.0ms	(- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x))))
488.0ms	(* (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (/ 2 (+ 1 (exp (* -2 x)))))
464.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
421.0ms	(+ (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (+ (* 1 1) (* (/ 2 (+ 1 (exp (* -2 x)))) 1)))

prune650.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

19.5b	(+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15))
0.3b	(* x -1/3)
0.1b	(* (* x x) (* x -1/3))
0.1b	(* (pow x 5) 2/15)

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
16×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-l`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
7×	`associate-r`
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

179.0ms	(+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15))
27.0ms	(* (* x x) (* x -1/3))
10.0ms	(* x -1/3)
8.0ms	(* (pow x 5) 2/15)

series276.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

106.0ms	(+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15))
72.0ms	(* (pow x 5) 2/15)
71.0ms	(* (* x x) (* x -1/3))
27.0ms	(* x -1/3)

simplify12.1s

Counts

96 → 94

Calls

96 calls:

Slowest

721.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* -1/3 -1/3) -1/3)))
645.0ms	(log (+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15)))
583.0ms	(sqrt (+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15)))
572.0ms	(sqrt (+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15)))
567.0ms	(cbrt (+ (+ (* (* x x) (* x -1/3)) x) (* (pow x 5) 2/15)))

prune818.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes227.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.4b

bsearch156.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

985.0ms	1770×	body	1280	valid
538.0ms	615×	body	320	valid
520.0ms	1223×	body	640	valid
442.0ms	4082×	body	80	valid
76.0ms	310×	body	160	valid