Details

sample63.0ms

Algorithm

intervals

Results

25.0ms	113×	body	1280	valid
9.0ms	77×	body	640	valid
8.0ms	394×	pre	80	true
3.0ms	146×	body	80	valid
3.0ms	34×	body	320	valid
1.0ms	24×	body	160	valid

simplify1.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize4.0ms

Local error

Found 1 expressions with local error:

6.5b	(- (exp x) 1.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

11.0ms

(- (exp x) 1.0)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(- (exp x) 1.0)

simplify68.0ms

Counts: 17 → 17

prune69.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`associate-l`
9×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1` `unpow-prod-down` `prod-exp`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2` `add-log-exp` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

2 → 49

Calls

2 calls:

59.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

series101.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
17.0ms	(* x 1/6)

simplify129.0ms

Counts: 55 → 55

prune138.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(pow (- (exp x) 1.0) 3)
0.1b	(cbrt (pow (- (exp x) 1.0) 3))
6.5b	(- (exp x) 1.0)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
10×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 70

Calls

3 calls:

15.0ms	(pow (- (exp x) 1.0) 3)
20.0ms	(cbrt (pow (- (exp x) 1.0) 3))
15.0ms	(- (exp x) 1.0)

series97.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(pow (- (exp x) 1.0) 3)
21.0ms	(cbrt (pow (- (exp x) 1.0) 3))
20.0ms	(- (exp x) 1.0)

simplify270.0ms

Counts: 79 → 79

prune133.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.1b	(pow (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) 3)
0.1b	(cbrt (pow (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) 3))
6.4b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite438.0ms

Algorithm

rewrite-expression-head

Rules

438×	`add-sqr-sqrt`
321×	`unpow-prod-down` `cube-prod`
300×	`times-frac`
256×	`*-un-lft-identity`
208×	`difference-of-squares`
168×	`cbrt-prod`
126×	`add-cube-cbrt`
107×	`sqr-pow`
65×	`distribute-lft-out--`
13×	`difference-cubes`
8×	`associate-/r/` `add-cbrt-cube`
7×	`add-exp-log`
6×	`pow1` `pow-unpow` `add-log-exp`
5×	`pow-pow`
4×	`flip3-+` `flip-+` `div-inv`
3×	`cube-mult` `exp-prod` `unpow3` `pow-exp` `rem-cube-cbrt`
2×	`cube-div` `pow-to-exp`
1×	`cbrt-undiv` `sub-neg` `cbrt-div` `flip3--` `pow1/3` `diff-log` `div-exp` `flip--` `rem-cbrt-cube`

Counts

4 → 420

Calls

4 calls:

10.0ms	(pow (exp x) 3)
141.0ms	(pow (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) 3)
164.0ms	(cbrt (pow (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) 3))
53.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series407.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow (exp x) 3)
205.0ms	(pow (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) 3)
127.0ms	(cbrt (pow (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) 3))
47.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify106.0ms

Counts: 432 → 432

prune920.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify164.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

883.0ms	3447×	body	1280	valid
806.0ms	2473×	body	640	valid
192.0ms	11979×	pre	80	true
161.0ms	4160×	body	80	valid
120.0ms	1267×	body	320	valid
37.0ms	632×	body	160	valid