Details

sample185.0ms

Algorithm

intervals

Results

87.0ms	115×	body	1280	valid
38.0ms	76×	body	640	valid
25.0ms	293×	body	80	valid
12.0ms	38×	body	320	valid
5.0ms	24×	body	160	valid

simplify99.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

99.0ms

(/ (- (exp x) (exp (- x))) 2)

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.3b

localize23.0ms

Local error

Found 1 expressions with local error:

6.1b	(- (exp x) (exp (- x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 15

Calls

1 calls:

Slowest

21.0ms

(- (exp x) (exp (- x)))

series70.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

69.0ms

(- (exp x) (exp (- x)))

simplify1.9s

Counts

21 → 18

Calls

21 calls:

Slowest

510.0ms	(* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x))))
300.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
287.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
215.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
109.0ms	(+ (* (exp x) (exp x)) (+ (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))

prune145.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 x)
0.1b	(* x (* 1/3 x))
0.1b	(* (pow x 5) 1/60)
0.0b	(* x (+ (* x (* 1/3 x)) 2))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-l`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 87

Calls

4 calls:

Slowest

54.0ms	(* x (+ (* x (* 1/3 x)) 2))
17.0ms	(* x (* 1/3 x))
13.0ms	(* (pow x 5) 1/60)
5.0ms	(* 1/3 x)

series260.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(* x (+ (* x (* 1/3 x)) 2))
75.0ms	(* (pow x 5) 1/60)
37.0ms	(* x (* 1/3 x))
19.0ms	(* 1/3 x)

simplify7.6s

Counts

102 → 99

Calls

102 calls:

Slowest

520.0ms	(* (cbrt (* (pow x 5) 1/60)) (cbrt (* (pow x 5) 1/60)))
413.0ms	(* (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* x (* 1/3 x)))
398.0ms	(* x (+ (pow (* x (* 1/3 x)) 3) (pow 2 3)))
387.0ms	(* (* (* (pow x 5) 1/60) (* (pow x 5) 1/60)) (* (pow x 5) 1/60))
355.0ms	(* x (- (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* 2 2)))

prune958.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 x)
0.1b	(* x (* 1/3 x))
0.1b	(* (* x (* 1/3 x)) x)
0.1b	(* (pow x 5) 1/60)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
14×	`associate-l`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`associate-r` `pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 86

Calls

4 calls:

Slowest

47.0ms	(* (* x (* 1/3 x)) x)
12.0ms	(* x (* 1/3 x))
8.0ms	(* (pow x 5) 1/60)
5.0ms	(* 1/3 x)

series210.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(* (pow x 5) 1/60)
70.0ms	(* (* x (* 1/3 x)) x)
35.0ms	(* x (* 1/3 x))
23.0ms	(* 1/3 x)

simplify7.3s

Counts

98 → 98

Calls

98 calls:

Slowest

575.0ms	(* (cbrt (* (pow x 5) 1/60)) (cbrt (* (pow x 5) 1/60)))
573.0ms	(* (* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x))) (* (* x x) x))
519.0ms	(* (* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x))) (* (* x x) x))
476.0ms	(* (* (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* x (* 1/3 x))) (* (* x x) x))
399.0ms	(* (* (* (pow x 5) 1/60) (* (pow x 5) 1/60)) (* (pow x 5) 1/60))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

6.1b	(+ (/ -1 (exp x)) (exp x))
0.0b	(/ -1 (exp x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`pow1` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 41

Calls

2 calls:

Slowest

17.0ms	(+ (/ -1 (exp x)) (exp x))
5.0ms	(/ -1 (exp x))

series71.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

61.0ms	(+ (/ -1 (exp x)) (exp x))
10.0ms	(/ -1 (exp x))

simplify2.9s

Counts

58 → 47

Calls

58 calls:

Slowest

414.0ms	(+ (* (/ -1 (exp x)) (/ -1 (exp x))) (- (* (exp x) (exp x)) (* (/ -1 (exp x)) (exp x))))
389.0ms	(log (/ -1 (exp x)))
346.0ms	(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
322.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
265.0ms	(* (* (+ (/ -1 (exp x)) (exp x)) (+ (/ -1 (exp x)) (exp x))) (+ (/ -1 (exp x)) (exp x)))

prune263.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.6b remaining)

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

bsearch5.0ms

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.4s	3474×	body	1280	valid
1.2s	2387×	body	640	valid
1.1s	7846×	body	80	valid
422.0ms	1201×	body	320	valid
111.0ms	655×	body	160	valid