Details

sample113.0ms

Algorithm

intervals

Results

76.0ms	179×	body	1280	valid
12.0ms	40×	body	640	valid
11.0ms	251×	body	80	valid
3.0ms	19×	body	320	valid
1.0ms	11×	body	160	valid

simplify43.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

43.0ms

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

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.9b

localize21.0ms

Local error

Found 3 expressions with local error:

3.1b	(- (- (exp x) 2) (/ -1 (exp x)))
0.0b	(- (exp x) 2)
0.0b	(/ -1 (exp x))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

Slowest

62.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
9.0ms	(- (exp x) 2)
5.0ms	(/ -1 (exp x))

series84.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

57.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
16.0ms	(- (exp x) 2)
11.0ms	(/ -1 (exp x))

simplify2.3s

Counts

53 → 75

Calls

53 calls:

Slowest

342.0ms	(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
274.0ms	(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
179.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
164.0ms	(* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp x))
122.0ms	(- (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) -1))

prune610.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

909×	`pow1`
378×	`pow-prod-up`
203×	`pow-prod-down`
163×	`pow-plus`
159×	`pow-sqr`
102×	`pow2`
87×	`add-cbrt-cube` `add-exp-log`
60×	`prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `associate-l`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`swap-sqr`
1×	`pow3`

Counts

4 → 366

Calls

4 calls:

Slowest

115.0ms	(* (* (* x x) (* x x)) (* x x))
79.0ms	(* 1/12 (* (* x x) (* x x)))
49.0ms	(* (* x x) (* x x))
43.0ms	(* (* x x) (* x x))

series226.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

68.0ms	(* 1/12 (* (* x x) (* x x)))
64.0ms	(* (* (* x x) (* x x)) (* x x))
47.0ms	(* (* x x) (* x x))
47.0ms	(* (* x x) (* x x))

simplify17.1s

Counts

425 → 378

Calls

425 calls:

Slowest

1.3s	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) (* x x)) (* x x)))
1.0s	(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) x) (* (* x x) x)))
747.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
684.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))))
587.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))))

prune3.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

3.1b	(- (- (exp x) 2) (/ -1 (exp x)))
3.1b	(- (- (exp x) 2) (/ -1 (exp x)))
3.1b	(- (- (exp x) 2) (/ -1 (exp x)))
0.0b	(cbrt (- (- (exp x) 2) (/ -1 (exp x))))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-log-exp`
12×	`distribute-lft-out--`
9×	`diff-log`
8×	`flip3--` `frac-sub` `flip--` `difference-of-squares`
7×	`cbrt-prod`
6×	`sub-neg` `associate--l+`
5×	`add-cube-cbrt`
4×	`pow1` `cbrt-div` `times-frac` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`associate--l-`
1×	`pow1/3`

Counts

4 → 89

Calls

4 calls:

Slowest

90.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
71.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
71.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
44.0ms	(cbrt (- (- (exp x) 2) (/ -1 (exp x))))

series471.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

198.0ms	(cbrt (- (- (exp x) 2) (/ -1 (exp x))))
104.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
85.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
84.0ms	(- (- (exp x) 2) (/ -1 (exp x)))

simplify5.8s

Counts

68 → 101

Calls

68 calls:

Slowest

322.0ms	(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
288.0ms	(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
268.0ms	(cbrt (- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1)))
259.0ms	(pow (- (+ (exp x) (/ 1 (exp x))) 2) 1/3)
257.0ms	(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))

prune967.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

4.3b	(- (* (exp x) (+ (* (exp x) (exp x)) -4)) (- -2 (exp x)))
3.1b	(- (- (exp x) 2) (/ -1 (exp x)))
3.1b	(- (- (exp x) 2) (/ -1 (exp x)))
0.0b	(* (exp x) (exp x))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
19×	`add-log-exp`
18×	`exp-prod`
14×	`add-cube-cbrt`
11×	`pow1`
9×	`diff-log`
8×	`frac-sub`
7×	`flip3--` `flip--`
6×	`sub-neg` `add-cbrt-cube` `associate--l+` `distribute-lft-out--`
4×	`pow-prod-down` `associate-*r/` `add-exp-log` `pow-sqr` `pow-prod-up` `insert-posit16` `difference-of-squares`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`associate--l-` `flip3-+` `times-frac` `flip-+` `associate--r+`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `associate--r-` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

Slowest

70.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
70.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
35.0ms	(- (* (exp x) (+ (* (exp x) (exp x)) -4)) (- -2 (exp x)))
13.0ms	(* (exp x) (exp x))

series279.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

88.0ms	(- (* (exp x) (+ (* (exp x) (exp x)) -4)) (- -2 (exp x)))
84.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
77.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
30.0ms	(* (exp x) (exp x))

simplify7.5s

Counts

95 → 116

Calls

95 calls:

Slowest

568.0ms	(- (* (* (exp x) (+ (pow (* (exp x) (exp x)) 3) (pow -4 3))) (+ (* -2 -2) (+ (* (exp x) (exp x)) (* -2 (exp x))))) (* (+ (* (* (exp x) (exp x)) (* (exp x) (exp x))) (- (* -4 -4) (* (* (exp x) (exp x)) -4))) (- (pow -2 3) (pow (exp x) 3))))
446.0ms	(/ (exp (* (exp x) (+ (* (exp x) (exp x)) -4))) (exp (- -2 (exp x))))
380.0ms	(- (* (* (exp x) (- (* (* (exp x) (exp x)) (* (exp x) (exp x))) (* -4 -4))) (+ (* -2 -2) (+ (* (exp x) (exp x)) (* -2 (exp x))))) (* (- (* (exp x) (exp x)) -4) (- (pow -2 3) (pow (exp x) 3))))
376.0ms	(- (* (* (exp x) (+ (pow (* (exp x) (exp x)) 3) (pow -4 3))) (+ -2 (exp x))) (* (+ (* (* (exp x) (exp x)) (* (exp x) (exp x))) (- (* -4 -4) (* (* (exp x) (exp x)) -4))) (- (* -2 -2) (* (exp x) (exp x)))))
291.0ms	(/ (exp (* (exp x) (+ (* (exp x) (exp x)) -4))) (/ (exp -2) (exp (exp x))))

prune2.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.6b remaining)

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

bsearch4.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

4.1s	5638×	body	1280	valid
487.0ms	8089×	body	80	valid
444.0ms	1234×	body	640	valid
137.0ms	651×	body	320	valid
44.0ms	314×	body	160	valid