Details

sample93.0ms

Algorithm

intervals

Results

36.0ms	109×	body	1280	valid
20.0ms	87×	body	640	valid
13.0ms	383×	pre	80	true
6.0ms	40×	body	320	valid
5.0ms	132×	body	80	valid
1.0ms	15×	body	160	valid

simplify8.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

8.0ms

(- (exp x) 1)

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize6.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) 1)

rewrite10.0ms

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

10.0ms

(- (exp x) 1)

series26.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

26.0ms

(- (exp x) 1)

simplify359.0ms

Counts

10 → 20

Calls

10 calls:

Slowest

226.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
27.0ms	(/ (exp (exp x)) (exp 1))
19.0ms	(- (sqrt (exp x)) (sqrt 1))
15.0ms	(- (sqrt (exp x)) 1)
15.0ms	(- (exp x) 1)

prune161.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

Slowest

30.0ms	(* (* x x) (+ (* x 1/6) 1/2))
5.0ms	(* x 1/6)

series141.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

125.0ms	(* (* x x) (+ (* x 1/6) 1/2))
16.0ms	(* x 1/6)

simplify2.0s

Counts

30 → 49

Calls

30 calls:

Slowest

294.0ms	(* (* (* (* 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)))
257.0ms	(+ (* (* x 1/6) (* x 1/6)) (- (* 1/2 1/2) (* (* x 1/6) 1/2)))
252.0ms	(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))
229.0ms	(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))

prune381.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

5.6b	(- (pow (exp x) 3) (pow 1 3))
0.0b	(pow (exp x) 3)
0.0b	(* (exp x) (exp x))
0.0b	(/ (- (pow (exp x) 3) (pow 1 3)) (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1))))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

209×	`add-sqr-sqrt`
152×	`*-un-lft-identity`
120×	`difference-of-squares`
102×	`times-frac`
93×	`unpow-prod-down` `cube-prod`
57×	`add-cube-cbrt`
51×	`sqr-pow`
34×	`associate-/l*`
30×	`distribute-lft-out--`
21×	`exp-prod`
12×	`pow1`
9×	`add-cbrt-cube`
6×	`cube-mult` `add-exp-log` `add-log-exp`
5×	`difference-cubes`
4×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`pow-unpow` `associate-/r` `swap-sqr` `associate-r` `associate-l*`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow2` `pow-to-exp` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `pow-plus` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 263

Calls

4 calls:

Slowest

142.0ms	(/ (- (pow (exp x) 3) (pow 1 3)) (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1))))
25.0ms	(- (pow (exp x) 3) (pow 1 3))
14.0ms	(* (exp x) (exp x))
3.0ms	(pow (exp x) 3)

series167.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

90.0ms	(/ (- (pow (exp x) 3) (pow 1 3)) (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1))))
37.0ms	(- (pow (exp x) 3) (pow 1 3))
26.0ms	(pow (exp x) 3)
14.0ms	(* (exp x) (exp x))

simplify1.2m

Counts

370 → 275

Calls

370 calls:

Slowest

783.0ms	(/ (* (cbrt (- (pow (exp x) 3) (pow 1 3))) (cbrt (- (pow (exp x) 3) (pow 1 3)))) (sqrt (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))))
586.0ms	(/ (+ (sqrt (pow (exp x) 3)) (pow (sqrt 1) 3)) (* (cbrt (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))) (cbrt (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1))))))
578.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
562.0ms	(/ (cbrt (- (pow (exp x) 3) (pow 1 3))) (sqrt (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))))
558.0ms	(/ (+ (sqrt (pow (exp x) 3)) (pow 1 (/ 3 2))) (* (cbrt (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))) (cbrt (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1))))))

prune2.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

0% (0.3b remaining)

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

bsearch3.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	3471×	body	1280	valid
481.0ms	2445×	body	640	valid
384.0ms	11873×	pre	80	true
178.0ms	1223×	body	320	valid
156.0ms	4067×	body	80	valid
89.0ms	667×	body	160	valid