Details

sample89.0ms

Algorithm

intervals

Results

27.0ms	41×	body	1280	valid
25.0ms	51×	body	640	valid
12.0ms	123×	body	80	valid
8.0ms	24×	body	320	valid
4.0ms	17×	body	160	valid

simplify141.0ms

Calls

1 calls:

Slowest

141.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.5b

localize15.0ms

Local error

Found 3 expressions with local error:

4.5b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite207.0ms

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--`

Calls

3 calls:

Slowest

179.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
17.0ms	(/ 2 (+ 1 (exp (* -2 x))))
10.0ms	(+ 1 (exp (* -2 x)))

series118.0ms

Calls

3 calls:

Slowest

68.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
32.0ms	(/ 2 (+ 1 (exp (* -2 x))))
18.0ms	(+ 1 (exp (* -2 x)))

simplify6.8s

Calls

57 calls:

Slowest

352.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
334.0ms	(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
265.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
201.0ms	(* (exp 1) (exp (exp (* -2 x))))
201.0ms	(- (+ x 1) (* 1/3 (pow x 3)))

prune611.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

17.5b	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
0.2b	(* (* x x) -1/3)
0.1b	(* (* (* x x) -1/3) x)
0.1b	(* (pow x 5) 2/15)

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

1.1s	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
77.0ms	(* (* (* x x) -1/3) x)
26.0ms	(* (* x x) -1/3)
10.0ms	(* (pow x 5) 2/15)

series208.0ms

Calls

4 calls:

Slowest

77.0ms	(* (pow x 5) 2/15)
61.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
44.0ms	(* (* (* x x) -1/3) x)
27.0ms	(* (* x x) -1/3)

simplify11.3s

Calls

118 calls:

Slowest

711.0ms	(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
635.0ms	(* (* (exp (* (* (* x x) -1/3) x)) (exp x)) (exp (* (pow x 5) 2/15)))
593.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
584.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
577.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

4.5b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite150.0ms

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--`

Calls

3 calls:

Slowest

102.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
26.0ms	(/ 2 (+ 1 (exp (* -2 x))))
21.0ms	(+ 1 (exp (* -2 x)))

series119.0ms

Calls

3 calls:

Slowest

80.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
27.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))

simplify6.8s

Calls

57 calls:

Slowest

399.0ms	(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
348.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
248.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
243.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
165.0ms	(* (exp 1) (exp (exp (* -2 x))))

prune635.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.7b

bsearch138.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.4s	1714×	body	1280	valid
555.0ms	1210×	body	640	valid
409.0ms	4158×	body	80	valid
156.0ms	577×	body	320	valid
84.0ms	341×	body	160	valid