Details

sample118.0ms

Algorithm

intervals

Results

51.0ms	98×	body	1280	valid
27.0ms	82×	body	640	valid
16.0ms	276×	body	80	valid
10.0ms	42×	body	320	valid
3.0ms	22×	body	160	valid

simplify65.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

65.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize17.0ms

Local error

Found 1 expressions with local error:

5.9b	(- (exp x) (exp (- x)))

rewrite20.0ms

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

19.0ms

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

series76.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

76.0ms

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

simplify541.0ms

Counts

7 → 18

Calls

7 calls:

Slowest

319.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
78.0ms	(- (exp x) (exp (* -1 x)))
63.0ms	(/ (exp (exp x)) (exp (exp (- x))))
27.0ms	(+ (sqrt (exp x)) (sqrt (exp (- x))))
19.0ms	(- (exp x) (exp (- x)))

prune211.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

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

61.0ms	(* x (+ (* x (* 1/3 x)) 2))
24.0ms	(* x (* 1/3 x))
16.0ms	(* (pow x 5) 1/60)
5.0ms	(* 1/3 x)

series252.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

120.0ms	(* x (+ (* x (* 1/3 x)) 2))
76.0ms	(* (pow x 5) 1/60)
34.0ms	(* x (* 1/3 x))
21.0ms	(* 1/3 x)

simplify2.9s

Counts

61 → 99

Calls

61 calls:

Slowest

333.0ms	(+ (* (* x (* 1/3 x)) (* x (* 1/3 x))) (- (* 2 2) (* (* x (* 1/3 x)) 2)))
261.0ms	(* (* (* 1/3 1/3) 1/3) (* (* x x) x))
248.0ms	(* (* (* x x) x) (* (* (+ (* x (* 1/3 x)) 2) (+ (* x (* 1/3 x)) 2)) (+ (* x (* 1/3 x)) 2)))
229.0ms	(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))
217.0ms	(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))

prune867.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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)
0.0b	(* (pow x 5) 1/60)

rewrite105.0ms

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

64.0ms	(* (* x (* 1/3 x)) x)
16.0ms	(* x (* 1/3 x))
16.0ms	(* (pow x 5) 1/60)
8.0ms	(* 1/3 x)

series199.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(* (pow x 5) 1/60)
50.0ms	(* (* x (* 1/3 x)) x)
48.0ms	(* x (* 1/3 x))
32.0ms	(* 1/3 x)

simplify3.9s

Counts

58 → 98

Calls

58 calls:

Slowest

639.0ms	(* (* (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* x (* 1/3 x))) (* (* x x) x))
543.0ms	(* (* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x))) (* (* x x) x))
530.0ms	(* (* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x))) (* (* x x) x))
302.0ms	(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
203.0ms	(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))

prune959.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

Slowest

7.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

311.0ms	(* (cbrt x) (cbrt x))
300.0ms	(cbrt x)
281.0ms	(cbrt x)
240.0ms	(cbrt x)

simplify995.0ms

Counts

63 → 89

Calls

63 calls:

Slowest

177.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
146.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
146.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
108.0ms	(* (pow (pow x 2) 1/3) (pow (cbrt -1) 2))
84.0ms	(* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x))))

prune846.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch6.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.6s	3397×	body	1280	valid
1.1s	2432×	body	640	valid
614.0ms	8234×	body	80	valid
350.0ms	1246×	body	320	valid
97.0ms	635×	body	160	valid