Details

sample125.0ms

Algorithm

intervals

Results

75.0ms	85×	body	1280	valid
19.0ms	48×	body	640	valid
10.0ms	110×	body	80	nan
5.0ms	89×	body	80	valid
5.0ms	20×	body	320	valid
2.0ms	14×	body	160	valid

simplify7.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.0b

localize11.0ms

Local error

Found 1 expressions with local error:

3.8b	(log (+ 1 x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

Slowest

6.0ms

(log (+ 1 x))

series37.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

37.0ms

(log (+ 1 x))

simplify1.2s

Counts: 19 → 19

prune142.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 x)
0.0b	(* x (+ (* 1/3 x) -1/2))
0.0b	(* x (* x (+ (* 1/3 x) -1/2)))
0.0b	(+ (* 1/3 x) -1/2)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

Slowest

40.0ms	(* x (* x (+ (* 1/3 x) -1/2)))
18.0ms	(* x (+ (* 1/3 x) -1/2))
9.0ms	(* 1/3 x)
6.0ms	(+ (* 1/3 x) -1/2)

series278.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(* x (* x (+ (* 1/3 x) -1/2)))
81.0ms	(* x (+ (* 1/3 x) -1/2))
65.0ms	(+ (* 1/3 x) -1/2)
26.0ms	(* 1/3 x)

simplify1.9s

Counts: 91 → 91

prune606.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (sqrt (+ 1 x)))
3.8b	(log (sqrt (+ 1 x)))
0.0b	(sqrt (+ 1 x))
0.0b	(sqrt (+ 1 x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 76

Calls

4 calls:

Slowest

4.0ms	(sqrt (+ 1 x))
4.0ms	(sqrt (+ 1 x))
4.0ms	(log (sqrt (+ 1 x)))
3.0ms	(log (sqrt (+ 1 x)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

93.0ms	(log (sqrt (+ 1 x)))
73.0ms	(log (sqrt (+ 1 x)))
28.0ms	(sqrt (+ 1 x))
24.0ms	(sqrt (+ 1 x))

simplify2.2s

Counts: 88 → 88

prune604.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

15.4b	(log (+ (* (* x x) x) 1))
13.8b	(log (- 1 (- x (* x x))))
0.3b	(- (log (+ (* (* x x) x) 1)) (log (- 1 (- x (* x x)))))
0.1b	(* (* x x) x)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
19×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `log-prod`
11×	`add-exp-log`
9×	`add-cbrt-cube` `add-cube-cbrt`
8×	`log-div`
6×	`pow-plus` `log-pow` `pow-prod-up` `associate--r+` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`insert-posit16` `add-log-exp`
3×	`flip3--` `associate-r` `pow-prod-down` `prod-exp` `associate--l+` `cbrt-unprod` `flip--`
2×	`associate--l-` `pow2` `flip3-+` `rem-log-exp` `pow-sqr` `flip-+` `associate--r-`
1×	`sub-neg` `diff-log` `associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

Slowest

57.0ms	(- (log (+ (* (* x x) x) 1)) (log (- 1 (- x (* x x)))))
31.0ms	(log (+ (* (* x x) x) 1))
28.0ms	(* (* x x) x)
20.0ms	(log (- 1 (- x (* x x))))

series704.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

491.0ms	(log (+ (* (* x x) x) 1))
104.0ms	(- (log (+ (* (* x x) x) 1)) (log (- 1 (- x (* x x)))))
56.0ms	(log (- 1 (- x (* x x))))
53.0ms	(* (* x x) x)

simplify990.0ms

Counts: 105 → 105

prune910.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 20.7b

bsearch40.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.7s	2251×	body	1280	valid
739.0ms	1681×	body	640	valid
207.0ms	818×	body	320	valid
201.0ms	2801×	body	80	valid
93.0ms	2610×	body	80	nan
58.0ms	449×	body	160	valid