Details

sample54.0ms

Algorithm

intervals

Results

21.0ms	112×	body	1280	valid
9.0ms	76×	body	640	valid
8.0ms	399×	pre	80	true
3.0ms	43×	body	320	valid
3.0ms	146×	body	80	valid
1.0ms	22×	body	160	valid

simplify17.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

17.0ms

(- (exp x) 1)

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize10.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) 1)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

Slowest

16.0ms

(- (exp x) 1)

series25.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

25.0ms

(- (exp x) 1)

simplify289.0ms

Counts

10 → 20

Calls

10 calls:

Slowest

188.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
18.0ms	(- (sqrt (exp x)) (sqrt 1))
15.0ms	(/ (exp (exp x)) (exp 1))
13.0ms	(- (exp x) 1)
12.0ms	(+ (sqrt (exp x)) 1)

prune130.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b	(* x 1/6)
0.0b	(* (* x x) (+ (* x 1/6) 1/2))
0.0b	(+ (* x 1/6) 1/2)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`insert-posit16`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in`

Counts

3 → 55

Calls

3 calls:

Slowest

40.0ms	(* (* x x) (+ (* x 1/6) 1/2))
13.0ms	(+ (* x 1/6) 1/2)
5.0ms	(* x 1/6)

series171.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

103.0ms	(* (* x x) (+ (* x 1/6) 1/2))
41.0ms	(+ (* x 1/6) 1/2)
28.0ms	(* x 1/6)

simplify2.0s

Counts

34 → 64

Calls

34 calls:

Slowest

315.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
273.0ms	(+ (* (* x 1/6) (* x 1/6)) (- (* 1/2 1/2) (* (* x 1/6) 1/2)))
263.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
185.0ms	(* (* (* x x) x) (* (* 1/6 1/6) 1/6))
167.0ms	(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))

prune494.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.4b	(log (exp (* (* x x) (+ (* x 1/6) 1/2))))
0.3b	(* x 1/6)
0.0b	(* (* x x) (+ (* x 1/6) 1/2))
0.0b	(+ (* x 1/6) 1/2)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`log-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`log-pow`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `exp-sum` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `exp-prod` `sum-log` `exp-to-pow` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

Slowest

31.0ms	(* (* x x) (+ (* x 1/6) 1/2))
6.0ms	(+ (* x 1/6) 1/2)
5.0ms	(* x 1/6)
5.0ms	(log (exp (* (* x x) (+ (* x 1/6) 1/2))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

100.0ms	(* (* x x) (+ (* x 1/6) 1/2))
79.0ms	(log (exp (* (* x x) (+ (* x 1/6) 1/2))))
55.0ms	(+ (* x 1/6) 1/2)
16.0ms	(* x 1/6)

simplify3.6s

Counts

45 → 84

Calls

45 calls:

Slowest

402.0ms	(log (exp (* (* x x) (* x 1/6))))
282.0ms	(+ (* (* x 1/6) (* x 1/6)) (- (* 1/2 1/2) (* (* x 1/6) 1/2)))
272.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
267.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
222.0ms	(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))

prune760.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) 1)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

Slowest

20.0ms

(- (exp x) 1)

series25.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

24.0ms

(- (exp x) 1)

simplify398.0ms

Counts

10 → 20

Calls

10 calls:

Slowest

242.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
29.0ms	(/ (exp (exp x)) (exp 1))
21.0ms	(- (sqrt (exp x)) (sqrt 1))
19.0ms	(- (exp x) 1)
17.0ms	(+ (sqrt (exp x)) (sqrt 1))

prune97.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes82.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.0s	3513×	body	1280	valid
557.0ms	4172×	body	80	valid
540.0ms	2473×	body	640	valid
408.0ms	11988×	pre	80	true
150.0ms	1225×	body	320	valid
77.0ms	605×	body	160	valid