Details

sample66.0ms

Algorithm

intervals

Results

24.0ms	111×	body	1280	valid
11.0ms	379×	pre	80	true
11.0ms	86×	body	640	valid
3.0ms	35×	body	320	valid
2.0ms	128×	body	80	valid
1.0ms	19×	body	160	valid

simplify14.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize8.0ms

Local error

Found 1 expressions with local error:

5.1b	(- (exp x) 1.0)

rewrite22.0ms

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:

21.0ms

(- (exp x) 1.0)

series24.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(- (exp x) 1.0)

simplify1.2s

Counts: 17 → 17

prune51.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow x 2) 2)
0.0b	(+ (+ (/ (pow x 2) 2) x) (/ (pow x 3) 6))
0.1b	(/ (pow x 3) 6)

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
50×	`*-un-lft-identity`
45×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down`
20×	`associate-/l*`
13×	`add-exp-log`
12×	`cube-prod`
8×	`add-log-exp` `sqr-pow`
7×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*`
4×	`cube-mult` `unpow3` `unpow2`
3×	`pow1` `sum-log` `distribute-lft-out`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `frac-add` `pow-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l+`

Counts

3 → 131

Calls

3 calls:

15.0ms	(/ (pow x 2) 2)
255.0ms	(+ (+ (/ (pow x 2) 2) x) (/ (pow x 3) 6))
10.0ms	(/ (pow x 3) 6)

series135.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (pow x 2) 2)
41.0ms	(+ (+ (/ (pow x 2) 2) x) (/ (pow x 3) 6))
45.0ms	(/ (pow x 3) 6)

simplify1.4s

Counts: 140 → 140

prune342.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow x 3) 6)
0.1b	(/ (pow x 3) 6)
0.1b	(* (/ (pow x 3) 6) (/ (pow x 3) 6))
29.3b	(/ (- (* (+ (/ (pow x 2) 2) x) (+ (/ (pow x 2) 2) x)) (* (/ (pow x 3) 6) (/ (pow x 3) 6))) (- (+ (/ (pow x 2) 2) x) (/ (pow x 3) 6)))

rewrite678.0ms

Algorithm

rewrite-expression-head

Rules

352×	`times-frac`
327×	`add-sqr-sqrt`
207×	`*-un-lft-identity`
182×	`add-cube-cbrt`
93×	`unpow-prod-down` `cube-prod`
64×	`add-exp-log`
58×	`swap-sqr`
40×	`associate-r` `associate-l`
36×	`difference-of-squares`
35×	`sqr-pow`
31×	`div-exp`
28×	`associate-/l*`
26×	`frac-sub` `associate-/l/`
25×	`unswap-sqr`
22×	`add-cbrt-cube`
21×	`frac-times`
20×	`cube-mult` `unpow3`
19×	`flip3-+` `flip-+`
16×	`prod-exp` `associate-/r*`
15×	`associate-r/` `associate-l/`
11×	`pow1`
10×	`pow-to-exp` `pow-exp` `distribute-lft-out--`
7×	`cbrt-undiv` `div-inv`
5×	`distribute-lft-out`
4×	`associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `flip--`
1×	`pow2` `pow-plus` `div-sub` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 426

Calls

4 calls:

18.0ms	(/ (pow x 3) 6)
17.0ms	(/ (pow x 3) 6)
78.0ms	(* (/ (pow x 3) 6) (/ (pow x 3) 6))
530.0ms	(/ (- (* (+ (/ (pow x 2) 2) x) (+ (/ (pow x 2) 2) x)) (* (/ (pow x 3) 6) (/ (pow x 3) 6))) (- (+ (/ (pow x 2) 2) x) (/ (pow x 3) 6)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (pow x 3) 6)
45.0ms	(/ (pow x 3) 6)
86.0ms	(* (/ (pow x 3) 6) (/ (pow x 3) 6))
98.0ms	(/ (- (* (+ (/ (pow x 2) 2) x) (+ (/ (pow x 2) 2) x)) (* (/ (pow x 3) 6) (/ (pow x 3) 6))) (- (+ (/ (pow x 2) 2) x) (/ (pow x 3) 6)))

simplify747.0ms

Counts: 438 → 438

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(cbrt (pow (- (exp x) 1.0) 3))
0.1b	(pow (- (exp x) 1.0) 3)
5.1b	(- (exp x) 1.0)

rewrite64.0ms

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:

19.0ms	(cbrt (pow (- (exp x) 1.0) 3))
16.0ms	(pow (- (exp x) 1.0) 3)
25.0ms	(- (exp x) 1.0)

series113.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(cbrt (pow (- (exp x) 1.0) 3))
71.0ms	(pow (- (exp x) 1.0) 3)
27.0ms	(- (exp x) 1.0)

simplify602.0ms

Counts: 79 → 79

prune198.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.6s

end0.0ms

sample2.0s

Algorithm

intervals

Results

741.0ms	3462×	body	1280	valid
435.0ms	2479×	body	640	valid
286.0ms	11929×	pre	80	true
103.0ms	1228×	body	320	valid
83.0ms	4115×	body	80	valid
35.0ms	645×	body	160	valid