Details

sample139.0ms

Algorithm

intervals

Results

96.0ms	178×	body	1280	valid
15.0ms	283×	body	80	valid
12.0ms	37×	body	640	valid
5.0ms	27×	body	320	valid
1.0ms	7×	body	160	valid

simplify67.0ms

Calls

1 calls:

Slowest

67.0ms

(+ (- (exp x) 2) (exp (- x)))

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.2b

localize14.0ms

Local error

Found 2 expressions with local error:

3.6b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `frac-add` `add-cube-cbrt` `add-log-exp`
3×	`fma-def` `flip3--` `fma-neg` `flip--`
2×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `associate-+l+` `sub-neg` `add-cbrt-cube` `exp-diff` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `flip3-+` `associate-+l-` `flip-+` `distribute-lft-out`

Calls

2 calls:

Slowest

29.0ms	(+ (- (exp x) 2) (exp (- x)))
7.0ms	(- (exp x) 2)

series97.0ms

Calls

2 calls:

Slowest

85.0ms	(+ (- (exp x) 2) (exp (- x)))
12.0ms	(- (exp x) 2)

simplify1.9s

Calls

23 calls:

Slowest

411.0ms	(+ (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) (exp 0)))
345.0ms	(+ (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp 0)))
180.0ms	(+ (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) 1))
145.0ms	(+ (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) 1))
132.0ms	(* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp x))

prune288.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x)))
0.0b	(fma (pow x 4) 1/12 (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

0.0ms	(fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x)))
0.0ms	(fma (pow x 4) 1/12 (* x x))

series67.0ms

Calls

2 calls:

Slowest

41.0ms	(fma (pow x 4) 1/12 (* x x))
26.0ms	(fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (* x x)))

simplify176.0ms

Calls

6 calls:

Slowest

46.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
40.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
38.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
18.0ms	(+ (pow x 2) (* 1/12 (pow x 4)))
18.0ms	(+ (pow x 2) (* 1/12 (pow x 4)))

prune252.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

4.0b	(fma (- (* (exp x) (exp x)) 3) (exp x) 2)
0.0b	(/ (fma (- (* (exp x) (exp x)) 3) (exp x) 2) (* (+ (exp x) 2) (exp x)))
0.0b	(* (exp x) (exp x))
0.0b	(* (+ (exp x) 2) (exp x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
11×	`pow1`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`add-exp-log`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `flip-+`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `pow-prod-up` `fma-udef` `div-inv`

Calls

4 calls:

Slowest

12.0ms	(* (+ (exp x) 2) (exp x))
9.0ms	(/ (fma (- (* (exp x) (exp x)) 3) (exp x) 2) (* (+ (exp x) 2) (exp x)))
4.0ms	(* (exp x) (exp x))
0.0ms	(fma (- (* (exp x) (exp x)) 3) (exp x) 2)

series226.0ms

Calls

4 calls:

Slowest

144.0ms	(/ (fma (- (* (exp x) (exp x)) 3) (exp x) 2) (* (+ (exp x) 2) (exp x)))
52.0ms	(fma (- (* (exp x) (exp x)) 3) (exp x) 2)
17.0ms	(* (+ (exp x) 2) (exp x))
12.0ms	(* (exp x) (exp x))

simplify4.1s

Calls

48 calls:

Slowest

675.0ms	(* (* (* (+ (exp x) 2) (+ (exp x) 2)) (+ (exp x) 2)) (* (* (exp x) (exp x)) (exp x)))
431.0ms	(/ (- (+ (pow (exp x) 3) 2) (* 3 (exp x))) (* (exp x) (+ (exp x) 2)))
358.0ms	(/ (- (+ (pow (exp x) 3) 2) (* 3 (exp x))) (* (exp x) (+ (exp x) 2)))
333.0ms	(* (- (* (exp x) (exp x)) (* 2 2)) (exp x))
302.0ms	(/ (* (* (fma (- (* (exp x) (exp x)) 3) (exp x) 2) (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (* (* (* (+ (exp x) 2) (+ (exp x) 2)) (+ (exp x) 2)) (* (* (exp x) (exp x)) (exp x))))

prune957.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

4.0b	(fma (- (* (exp x) (exp x)) 3) (exp x) 2)
4.0b	(fma (- (* (exp x) (exp x)) 3) (exp x) 2)
0.1b	(/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (+ (exp x) 2))
0.1b	(* (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (+ (exp x) 2)) (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (exp x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
45×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
30×	`sqrt-prod`
24×	`associate-l`
22×	`associate-r`
18×	`add-cbrt-cube`
16×	`add-exp-log`
6×	`pow1` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`flip3-+` `flip-+` `fma-udef`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Calls

4 calls:

Slowest

26.0ms	(* (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (+ (exp x) 2)) (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (exp x)))
12.0ms	(/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (+ (exp x) 2))
0.0ms	(fma (- (* (exp x) (exp x)) 3) (exp x) 2)
0.0ms	(fma (- (* (exp x) (exp x)) 3) (exp x) 2)

series386.0ms

Calls

4 calls:

Slowest

150.0ms	(* (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (+ (exp x) 2)) (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (exp x)))
122.0ms	(/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (+ (exp x) 2))
68.0ms	(fma (- (* (exp x) (exp x)) 3) (exp x) 2)
45.0ms	(fma (- (* (exp x) (exp x)) 3) (exp x) 2)

simplify12.4s

Calls

118 calls:

Slowest

754.0ms	(* (* (* (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (+ (exp x) 2)) (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (+ (exp x) 2))) (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (+ (exp x) 2))) (* (* (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (exp x)) (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (exp x))) (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (exp x))))
588.0ms	(* (/ (* (* (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2))) (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2))) (* (* (+ (exp x) 2) (+ (exp x) 2)) (+ (exp x) 2))) (/ (* (* (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2))) (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2))) (* (* (exp x) (exp x)) (exp x))))
433.0ms	(* (/ (* (* (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2))) (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2))) (* (* (+ (exp x) 2) (+ (exp x) 2)) (+ (exp x) 2))) (* (* (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (exp x)) (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (exp x))) (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (exp x))))
419.0ms	(/ (- (+ (pow (exp x) 3) 2) (* 3 (exp x))) (* (exp x) (+ (exp x) 2)))
371.0ms	(* (* (* (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (+ (exp x) 2)) (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (+ (exp x) 2))) (/ (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (+ (exp x) 2))) (/ (* (* (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2)) (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2))) (sqrt (fma (- (* (exp x) (exp x)) 3) (exp x) 2))) (* (* (exp x) (exp x)) (exp x))))

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes37.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch1.0ms

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.9s	5697×	body	1280	valid
858.0ms	1186×	body	640	valid
479.0ms	8047×	body	80	valid
231.0ms	626×	body	320	valid
43.0ms	317×	body	160	valid