Details

sample59.0ms

Algorithm

intervals

Results

20.0ms	88×	body	1280	valid
12.0ms	91×	body	640	valid
5.0ms	375×	pre	80	true
4.0ms	41×	body	320	valid
3.0ms	132×	body	80	valid
1.0ms	23×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize4.0ms

Local error

Found 1 expressions with local error:

6.7b	(- (exp x) 1.0)

rewrite15.0ms

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:

14.0ms

(- (exp x) 1.0)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- (exp x) 1.0)

simplify65.0ms

Counts: 17 → 17

prune69.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

25.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
41.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
7.0ms	(* x 1/6)

series138.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
85.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
16.0ms	(* x 1/6)

simplify48.0ms

Counts: 71 → 71

prune229.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
0.6b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.6b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.6b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

151.0ms	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
15.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
14.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
21.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

series320.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
77.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
69.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
87.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

simplify125.0ms

Counts: 99 → 99

prune491.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.7b	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
0.7b	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
0.7b	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
19×	`flip3-+` `flip-+`
12×	`frac-times`
6×	`cbrt-prod` `associate-r/` `associate-l/`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

27.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
48.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
96.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
74.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))

series379.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
104.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
104.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
77.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))

simplify114.0ms

Counts: 76 → 76

prune492.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes175.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify198.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

923.0ms	3387×	body	1280	valid
559.0ms	11901×	pre	80	true
368.0ms	2557×	body	640	valid
154.0ms	4101×	body	80	valid
154.0ms	1209×	body	320	valid
39.0ms	647×	body	160	valid