Details

sample80.0ms

Algorithm

intervals

Results

32.0ms	109×	body	1280	valid
15.0ms	78×	body	640	valid
11.0ms	369×	pre	80	true
6.0ms	44×	body	320	valid
4.0ms	119×	body	80	valid
1.0ms	19×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize11.0ms

Local error

Found 1 expressions with local error:

6.1b	(- (exp x) 1)

rewrite13.0ms

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:

12.0ms

(- (exp x) 1)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(- (exp x) 1)

simplify1.3s

Counts

20 → 20

Iterations

Iter	Nodes
done	2010
5	2010
4	1333
3	609
2	233
1	92
0	42

prune90.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(+ (* x 1/6) 1/2)
7.0ms	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
40.0ms	(* (* x x) (+ (* x 1/6) 1/2))
6.0ms	(* x 1/6)

series203.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* x 1/6) 1/2)
41.0ms	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
105.0ms	(* (* x x) (+ (* x 1/6) 1/2))
17.0ms	(* x 1/6)

simplify1.3s

Counts

81 → 81

Iterations

Iter	Nodes
done	2007
3	2007
2	1476
1	356
0	111

prune243.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

45.0ms	(* (cbrt (+ x (* (* x x) (+ (* x 1/6) 1/2)))) (cbrt (+ x (* (* x x) (+ (* x 1/6) 1/2)))))
4.0ms	(cbrt (+ x (* (* x x) (+ (* x 1/6) 1/2))))
3.0ms	(cbrt (+ x (* (* x x) (+ (* x 1/6) 1/2))))
3.0ms	(cbrt (+ x (* (* x x) (+ (* x 1/6) 1/2))))

series375.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (cbrt (+ x (* (* x x) (+ (* x 1/6) 1/2)))) (cbrt (+ x (* (* x x) (+ (* x 1/6) 1/2)))))
91.0ms	(cbrt (+ x (* (* x x) (+ (* x 1/6) 1/2))))
92.0ms	(cbrt (+ x (* (* x x) (+ (* x 1/6) 1/2))))
102.0ms	(cbrt (+ x (* (* x x) (+ (* x 1/6) 1/2))))

simplify1.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	2019
3	2019
2	1009
1	354
0	151

prune539.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

6.1b	(+ (exp x) -1)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
2×	`add-sqr-sqrt`
1×	`pow1` `+-commutative` `difference-of-sqr--1` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

12.0ms

(+ (exp x) -1)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ (exp x) -1)

simplify1.2s

Counts

17 → 17

Iterations

Iter	Nodes
done	2003
4	2003
3	1040
2	289
1	101
0	40

prune51.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.5s	3447×	body	1280	valid
478.0ms	2478×	body	640	valid
378.0ms	11983×	pre	80	true
173.0ms	1256×	body	320	valid
165.0ms	4159×	body	80	valid
50.0ms	643×	body	160	valid