Details

sample75.0ms

Algorithm

intervals

Results

29.0ms	107×	body	1280	valid
16.0ms	87×	body	640	valid
10.0ms	372×	pre	80	true
4.0ms	34×	body	320	valid
3.0ms	120×	body	80	valid
2.0ms	24×	body	160	valid

simplify20.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize24.0ms

Local error

Found 1 expressions with local error:

6.5b	(- (exp x) 1)

rewrite15.0ms

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:

Slowest

14.0ms

(- (exp x) 1)

series25.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

25.0ms

(- (exp x) 1)

simplify2.4s

Counts: 20 → 20

prune193.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

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:

Slowest

37.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
12.0ms	(+ x (* (* x x) (+ 1/2 (* x 1/6))))
5.0ms	(* x 1/6)

series183.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

104.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
48.0ms	(+ x (* (* x x) (+ 1/2 (* x 1/6))))
31.0ms	(* x 1/6)

simplify4.2s

Counts: 66 → 66

prune548.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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:

Slowest

28.0ms	(* (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))) (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))
2.0ms	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))
2.0ms	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))
2.0ms	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))

series379.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

109.0ms	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))
104.0ms	(* (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))) (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))
90.0ms	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))
75.0ms	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))

simplify2.0s

Counts: 103 → 103

prune839.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize116.0ms

Local error

Found 4 expressions with local error:

25.0b	(cbrt (pow x 5))
15.3b	(cbrt (* (* (* x x) (* x x)) (* (* x x) (* x x))))
0.6b	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))
0.6b	(cbrt x)

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`unpow-prod-down`
2×	`cbrt-div`
1×	`flip3-+` `flip-+` `sqr-pow`

Counts

4 → 52

Calls

4 calls:

Slowest

135.0ms	(cbrt (* (* (* x x) (* x x)) (* (* x x) (* x x))))
2.0ms	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))
2.0ms	(cbrt (pow x 5))
1.0ms	(cbrt x)

series918.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

286.0ms	(cbrt (pow x 5))
283.0ms	(cbrt (* (* (* x x) (* x x)) (* (* x x) (* x x))))
266.0ms	(cbrt x)
83.0ms	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))

simplify1.6s

Counts: 64 → 64

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes155.0ms

Accuracy

0% (0.4b remaining)

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

bsearch3.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

973.0ms	3373×	body	1280	valid
583.0ms	2556×	body	640	valid
298.0ms	11862×	pre	80	true
179.0ms	1236×	body	320	valid
146.0ms	4055×	body	80	valid
49.0ms	642×	body	160	valid