Details

sample80.0ms

Algorithm

intervals

Results

33.0ms	111×	body	1280	valid
15.0ms	82×	body	640	valid
10.0ms	386×	pre	80	true
5.0ms	42×	body	320	valid
4.0ms	137×	body	80	valid
1.0ms	14×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize5.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (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:

9.0ms

(- (exp x) 1)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(- (exp x) 1)

simplify2.2s

Counts

20 → 20

Iterations

Iter	Nodes
done	5007
5	2653
4	1333
3	609
2	233
1	92
0	42

prune107.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

7.0ms	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
47.0ms	(* (* x x) (+ (* x 1/6) 1/2))
10.0ms	(* x 1/6)

series168.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
107.0ms	(* (* x x) (+ (* x 1/6) 1/2))
20.0ms	(* x 1/6)

simplify1.5s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1401
1	332
0	102

prune225.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* x 1/6) (* x x)))
0.0b	(+ (+ x (* (* x 1/6) (* x x))) (* 1/2 (* x x)))
0.1b	(* (* x 1/6) (* x x))
0.3b	(* x 1/6)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

8.0ms	(+ x (* (* x 1/6) (* x x)))
36.0ms	(+ (+ x (* (* x 1/6) (* x x))) (* 1/2 (* x x)))
39.0ms	(* (* x 1/6) (* x x))
9.0ms	(* x 1/6)

series294.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(+ x (* (* x 1/6) (* x x)))
53.0ms	(+ (+ x (* (* x 1/6) (* x x))) (* 1/2 (* x x)))
61.0ms	(* (* x 1/6) (* x x))
22.0ms	(* x 1/6)

simplify2.1s

Counts

80 → 80

Iterations

Iter	Nodes
done	5002
2	1449
1	340
0	107

prune267.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite244.0ms

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:

159.0ms	(* (cbrt (+ (+ x (* (* x 1/6) (* x x))) (* 1/2 (* x x)))) (cbrt (+ (+ x (* (* x 1/6) (* x x))) (* 1/2 (* x x)))))
26.0ms	(cbrt (+ (+ x (* (* x 1/6) (* x x))) (* 1/2 (* x x))))
30.0ms	(cbrt (+ (+ x (* (* x 1/6) (* x x))) (* 1/2 (* x x))))
26.0ms	(cbrt (+ (+ x (* (* x 1/6) (* x x))) (* 1/2 (* x x))))

series348.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (cbrt (+ (+ x (* (* x 1/6) (* x x))) (* 1/2 (* x x)))) (cbrt (+ (+ x (* (* x 1/6) (* x x))) (* 1/2 (* x x)))))
79.0ms	(cbrt (+ (+ x (* (* x 1/6) (* x x))) (* 1/2 (* x x))))
77.0ms	(cbrt (+ (+ x (* (* x 1/6) (* x x))) (* 1/2 (* x x))))
79.0ms	(cbrt (+ (+ x (* (* x 1/6) (* x x))) (* 1/2 (* x x))))

simplify3.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	4298
2	1045
1	367
0	153

prune537.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.0s	3450×	body	1280	valid
536.0ms	2526×	body	640	valid
382.0ms	11987×	pre	80	true
191.0ms	4171×	body	80	valid
149.0ms	1241×	body	320	valid
84.0ms	599×	body	160	valid