Details

sample55.0ms

Algorithm

intervals

Results

23.0ms	50×	body	1280	valid
11.0ms	42×	body	640	valid
8.0ms	139×	body	80	valid
3.0ms	16×	body	320	valid
1.0ms	9×	body	160	valid

simplify28.0ms

Calls

1 calls:

Slowest

28.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize22.0ms

Local error

Found 2 expressions with local error:

3.3b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`fma-neg`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `associate-/r/` `add-cube-cbrt`
3×	`associate-/r*` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`expm1-def` `clear-num` `sub-neg` `frac-2neg` `flip3--` `difference-of-sqr-1` `flip--`

Calls

2 calls:

Slowest

11.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
2.0ms	(/ 2 (+ 1 (exp (* -2 x))))

series139.0ms

Calls

2 calls:

Slowest

109.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
30.0ms	(/ 2 (+ 1 (exp (* -2 x))))

simplify918.0ms

Calls

17 calls:

Slowest

164.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
127.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
104.0ms	(/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3)))
72.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
51.0ms	(+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)

prune402.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize1.0ms

Local error

Found 2 expressions with local error:

3.3b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`fma-neg`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `associate-/r/` `add-cube-cbrt`
3×	`associate-/r*` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`expm1-def` `clear-num` `sub-neg` `frac-2neg` `flip3--` `difference-of-sqr-1` `flip--`

Calls

2 calls:

Slowest

8.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.0ms	(/ 2 (+ 1 (exp (* -2 x))))

series83.0ms

Calls

2 calls:

Slowest

63.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
20.0ms	(/ 2 (+ 1 (exp (* -2 x))))

simplify1.1s

Calls

17 calls:

Slowest

219.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
211.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
119.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
99.0ms	(/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3)))
53.0ms	(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))

prune418.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

3.3b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
3.3b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
3.3b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`fma-neg`
12×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`add-exp-log`
6×	`associate-/r/`
4×	`cbrt-prod` `expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `difference-of-sqr-1` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`expm1-def` `sub-neg` `flip3-+` `flip-+` `div-inv`
2×	`cbrt-div`
1×	`pow1/3`

Calls

4 calls:

Slowest

13.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
12.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
6.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
3.0ms	(cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1))

series443.0ms

Calls

4 calls:

Slowest

223.0ms	(cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1))
80.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
72.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
68.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify2.6s

Calls

36 calls:

Slowest

348.0ms	(cbrt (- (pow (/ 2 (+ 1 (exp (* -2 x)))) 3) (pow 1 3)))
190.0ms	(cbrt (- (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (* 1 1)))
188.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
184.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
183.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

15.1b	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
0.3b	(* x -1/3)
0.2b	(* (* x -1/3) x)
0.0b	(fma 2/15 (pow x 5) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef`
1×	`associate-l`

Calls

4 calls:

Slowest

11.0ms	(* (* x -1/3) x)
0.0ms	(fma 2/15 (pow x 5) x)
0.0ms	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
0.0ms	(* x -1/3)

series328.0ms

Calls

4 calls:

Slowest

184.0ms	(fma 2/15 (pow x 5) x)
88.0ms	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
39.0ms	(* (* x -1/3) x)
16.0ms	(* x -1/3)

simplify542.0ms

Calls

12 calls:

Slowest

170.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
150.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
134.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
16.0ms	(* -1/3 (pow x 2))
16.0ms	(* -1/3 (pow x 2))

prune552.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes280.0ms

Accuracy

100% (0.0b remaining)

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

bsearch173.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	1711×	body	1280	valid
873.0ms	1288×	body	640	valid
322.0ms	4086×	body	80	valid
222.0ms	595×	body	320	valid
56.0ms	320×	body	160	valid