Details

sample99.0ms

Algorithm

intervals

Results

45.0ms	54×	body	1280	valid
16.0ms	34×	body	640	valid
14.0ms	139×	body	80	valid
6.0ms	19×	body	320	valid
2.0ms	10×	body	160	valid

simplify138.0ms

Calls

1 calls:

Slowest

138.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize20.0ms

Local error

Found 3 expressions with local error:

2.7b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(+ 1 (exp (* -2 x)))
0.0b	(/ 2 (+ 1 (exp (* -2 x))))

rewrite168.0ms

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

130.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
28.0ms	(/ 2 (+ 1 (exp (* -2 x))))
9.0ms	(+ 1 (exp (* -2 x)))

series110.0ms

Calls

3 calls:

Slowest

71.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
23.0ms	(/ 2 (+ 1 (exp (* -2 x))))
16.0ms	(+ 1 (exp (* -2 x)))

simplify7.2s

Calls

57 calls:

Slowest

429.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
332.0ms	(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
259.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
245.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
183.0ms	(- (* 2 (/ 1 (+ (exp (* -2 x)) 1))) 1)

prune692.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

2.7b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
0.0b	(+ (exp (* -2 x)) 1)
0.0b	(/ 2 (+ (exp (* -2 x)) 1))

rewrite357.0ms

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

273.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
56.0ms	(/ 2 (+ (exp (* -2 x)) 1))
26.0ms	(+ (exp (* -2 x)) 1)

series110.0ms

Calls

3 calls:

Slowest

73.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
21.0ms	(/ 2 (+ (exp (* -2 x)) 1))
16.0ms	(+ (exp (* -2 x)) 1)

simplify6.9s

Calls

57 calls:

Slowest

400.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
344.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)))
258.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
219.0ms	(+ (* (exp (* -2 x)) (exp (* -2 x))) (- (* 1 1) (* (exp (* -2 x)) 1)))
189.0ms	(- (/ (sqrt 2) (sqrt (+ (exp (* -2 x)) 1))) (sqrt 1))

prune700.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

21.5b	(+ (+ (* (* (* 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))
73.0ms	(* (* (* x x) -1/3) x)
27.0ms	(* (* x x) -1/3)
10.0ms	(* (pow x 5) 2/15)

series241.0ms

Calls

4 calls:

Slowest

75.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
71.0ms	(* (pow x 5) 2/15)
51.0ms	(* (* (* x x) -1/3) x)
44.0ms	(* (* x x) -1/3)

simplify11.2s

Calls

118 calls:

Slowest

642.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
614.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
610.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
607.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
598.0ms	(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

21.5b	(+ (* (* (* x x) -1/3) 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)

rewrite381.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

267.0ms	(+ (* (* (* x x) -1/3) x) (* (pow x 5) 2/15))
71.0ms	(* (* (* x x) -1/3) x)
20.0ms	(* (pow x 5) 2/15)
19.0ms	(* (* x x) -1/3)

series417.0ms

Calls

4 calls:

Slowest

227.0ms	(+ (* (* (* x x) -1/3) x) (* (pow x 5) 2/15))
80.0ms	(* (pow x 5) 2/15)
57.0ms	(* (* x x) -1/3)
53.0ms	(* (* (* x x) -1/3) x)

simplify8.5s

Calls

114 calls:

Slowest

713.0ms	(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
544.0ms	(+ (* (* (* x x) -1/3) x) (* (pow x 5) 2/15))
486.0ms	(+ (* (* (* x x) -1/3) x) (* (pow x 5) 2/15))
450.0ms	(+ (* (* (* x x) -1/3) x) (* (pow x 5) 2/15))
449.0ms	(+ (* (* (* x x) -1/3) x) (* (pow x 5) 2/15))

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.3b

bsearch158.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	1720×	body	1280	valid
998.0ms	1226×	body	640	valid
343.0ms	4087×	body	80	valid
168.0ms	613×	body	320	valid
127.0ms	354×	body	160	valid