Details

sample143.0ms

Algorithm

intervals

Results

96.0ms	166×	body	1280	valid
15.0ms	46×	body	640	valid
14.0ms	235×	body	80	valid
4.0ms	22×	body	320	valid
3.0ms	18×	body	160	valid

simplify80.0ms

Calls

1 calls:

Slowest

80.0ms

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.8b

localize22.0ms

Local error

Found 3 expressions with local error:

5.3b	(- (- (exp x) 2) (/ -1 (exp x)))
0.0b	(/ -1 (exp x))
0.0b	(- (exp x) 2)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`frac-sub`
15×	`add-cube-cbrt`
11×	`flip3--` `flip--`
10×	`times-frac` `add-log-exp`
9×	`associate-/r` `associate-/l`
6×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`diff-log` `distribute-lft-out--`
3×	`pow1` `clear-num` `sub-neg` `frac-2neg` `insert-posit16` `difference-of-squares`
2×	`div-exp` `associate--l+`
1×	`associate--l-` `cbrt-undiv` `div-inv`

Calls

3 calls:

Slowest

79.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
16.0ms	(- (exp x) 2)
10.0ms	(/ -1 (exp x))

series124.0ms

Calls

3 calls:

Slowest

89.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
18.0ms	(- (exp x) 2)
18.0ms	(/ -1 (exp x))

simplify9.1s

Calls

86 calls:

Slowest

437.0ms	(- (* (- (pow (exp x) 3) (pow 2 3)) (/ (exp x) (cbrt -1))) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (* (cbrt -1) (cbrt -1))))
430.0ms	(- (* (- (pow (exp x) 3) (pow 2 3)) (cbrt (exp x))) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (/ -1 (* (cbrt (exp x)) (cbrt (exp x))))))
382.0ms	(- (* (- (pow (exp x) 3) (pow 2 3)) (/ (exp x) -1)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) 1))
344.0ms	(* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (- (exp x)))
341.0ms	(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))

prune677.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) (* x x))
0.2b	(* (* x x) (* x x))
0.1b	(* 1/12 (* (* x x) (* x x)))
0.1b	(* (* (* (* x x) (* x x)) (* x x)) 1/360)

rewrite920.0ms

Algorithm

rewrite-expression-head

Rules

1713×	`add-sqr-sqrt`
1261×	`unswap-sqr`
510×	`swap-sqr`
489×	`associate-l`
311×	`*-commutative`
297×	`pow1`
210×	`associate-r`
110×	`*-un-lft-identity`
101×	`pow-prod-down`
99×	`add-cbrt-cube` `add-exp-log`
94×	`add-cube-cbrt`
72×	`pow-prod-up`
71×	`prod-exp` `cbrt-unprod`
44×	`pow-sqr`
36×	`pow-plus`
26×	`pow2`
4×	`insert-posit16` `add-log-exp`

Calls

4 calls:

Slowest

665.0ms	(* (* (* (* x x) (* x x)) (* x x)) 1/360)
133.0ms	(* 1/12 (* (* x x) (* x x)))
39.0ms	(* (* x x) (* x x))
33.0ms	(* (* x x) (* x x))

series285.0ms

Calls

4 calls:

Slowest

96.0ms	(* (* (* (* x x) (* x x)) (* x x)) 1/360)
80.0ms	(* 1/12 (* (* x x) (* x x)))
61.0ms	(* (* x x) (* x x))
48.0ms	(* (* x x) (* x x))

simplify1.1m

Calls

1224 calls:

Slowest

1.2s	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))))
754.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))))
501.0ms	(* (* (* (* x x) (* x x)) (* x x)) 1/360)
498.0ms	(* (* (* x x) (* x x)) (* x (* (cbrt x) (cbrt x))))
480.0ms	(* (* (* (* x x) (* x x)) (* x x)) 1/360)

prune8.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

4.6b	(- (+ (exp x) (/ 1 (exp x))) 2)
0.0b	(/ 1 (exp x))
0.0b	(+ (exp x) (/ 1 (exp x)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`times-frac`
8×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1` `div-exp` `pow-flip` `distribute-lft-out`
3×	`exp-prod` `associate-/r` `insert-posit16` `div-inv` `associate-/l` `distribute-lft-out--`
2×	`+-commutative` `rec-exp` `sum-log` `diff-log` `1-exp` `associate--l+`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--` `inv-pow` `difference-of-squares`

Calls

3 calls:

Slowest

123.0ms	(- (+ (exp x) (/ 1 (exp x))) 2)
21.0ms	(+ (exp x) (/ 1 (exp x)))
12.0ms	(/ 1 (exp x))

series121.0ms

Calls

3 calls:

Slowest

79.0ms	(- (+ (exp x) (/ 1 (exp x))) 2)
34.0ms	(+ (exp x) (/ 1 (exp x)))
9.0ms	(/ 1 (exp x))

simplify1.7s

Calls

53 calls:

Slowest

273.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
119.0ms	(/ (* (* 1 1) 1) (* (* (exp x) (exp x)) (exp x)))
116.0ms	(/ (* (exp (exp x)) (exp (/ 1 (exp x)))) (exp 2))
96.0ms	(/ (exp (+ (exp x) (/ 1 (exp x)))) (exp 2))
77.0ms	(- (+ (* 1/2 (pow x 2)) 1) x)

prune547.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.5b remaining)

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

bsearch2.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.8s	5657×	body	1280	valid
728.0ms	8279×	body	80	valid
424.0ms	1189×	body	640	valid
124.0ms	611×	body	320	valid
53.0ms	356×	body	160	valid