Details

sample150.0ms

Algorithm

intervals

Results

83.0ms	110×	body	1280	valid
28.0ms	84×	body	640	valid
15.0ms	247×	body	80	valid
7.0ms	33×	body	320	valid
2.0ms	19×	body	160	valid

simplify84.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

84.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize23.0ms

Local error

Found 1 expressions with local error:

5.3b	(- (exp x) (exp (- x)))

rewrite26.0ms

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

26.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

45.0ms

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

simplify2.0s

Counts

21 → 18

Calls

21 calls:

Slowest

520.0ms	(* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x))))
348.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
313.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
199.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
132.0ms	(+ (* (exp x) (exp x)) (+ (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))

prune144.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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))

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

51.0ms	(* x (+ (* x (* 1/3 x)) 2))
32.0ms	(* x (* 1/3 x))
17.0ms	(* (pow x 5) 1/60)
8.0ms	(* 1/3 x)

series282.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

112.0ms	(* x (+ (* x (* 1/3 x)) 2))
91.0ms	(* (pow x 5) 1/60)
49.0ms	(* x (* 1/3 x))
29.0ms	(* 1/3 x)

simplify7.7s

Counts

102 → 99

Calls

102 calls:

Slowest

494.0ms	(* (cbrt (* (pow x 5) 1/60)) (cbrt (* (pow x 5) 1/60)))
459.0ms	(exp (* x (+ (* x (* 1/3 x)) 2)))
428.0ms	(* (* (* (pow x 5) 1/60) (* (pow x 5) 1/60)) (* (pow x 5) 1/60))
402.0ms	(* x (+ (pow (* x (* 1/3 x)) 3) (pow 2 3)))
381.0ms	(* (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* x (* 1/3 x)))

prune981.0ms

Pruning

2 alts after pruning (1 fresh and 1 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)

rewrite110.0ms

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

73.0ms	(* (* x (* 1/3 x)) x)
17.0ms	(* (pow x 5) 1/60)
13.0ms	(* x (* 1/3 x))
5.0ms	(* 1/3 x)

series203.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

64.0ms	(* (* x (* 1/3 x)) x)
64.0ms	(* (pow x 5) 1/60)
49.0ms	(* x (* 1/3 x))
26.0ms	(* 1/3 x)

simplify7.5s

Counts

98 → 98

Calls

98 calls:

Slowest

1.0s	(* (* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x))) (* (* x x) x))
503.0ms	(* (cbrt (* (pow x 5) 1/60)) (cbrt (* (pow x 5) 1/60)))
492.0ms	(* (* (* (pow x 5) 1/60) (* (pow x 5) 1/60)) (* (pow x 5) 1/60))
402.0ms	(* (* (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* x (* 1/3 x))) (* (* x x) x))
375.0ms	(* (* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x))) (* (* x x) x))

prune906.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.6b remaining)

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

bsearch3.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.2s	3403×	body	1280	valid
1.6s	2520×	body	640	valid
627.0ms	8174×	body	80	valid
391.0ms	1211×	body	320	valid
98.0ms	603×	body	160	valid