Details

sample94.0ms

Algorithm

intervals

Results

54.0ms	76×	body	1280	valid
18.0ms	56×	body	640	valid
4.0ms	96×	body	80	valid
3.0ms	18×	body	320	valid
2.0ms	78×	body	80	nan
1.0ms	10×	body	160	valid

simplify13.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.5b

localize12.0ms

Local error

Found 1 expressions with local error:

2.7b	(log (+ 1 x))

rewrite7.0ms

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))

series36.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

36.0ms

(log (+ 1 x))

simplify1.2s

Counts: 19 → 19

prune181.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 1/3 x)
0.1b	(* x (+ (* 1/3 x) -1/2))
0.0b	(* x (* x (+ (* 1/3 x) -1/2)))
0.0b	(+ x (* x (* x (+ (* 1/3 x) -1/2))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

Slowest

43.0ms	(* x (* x (+ (* 1/3 x) -1/2)))
18.0ms	(* x (+ (* 1/3 x) -1/2))
14.0ms	(+ x (* x (* x (+ (* 1/3 x) -1/2))))
5.0ms	(* 1/3 x)

series270.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

132.0ms	(* x (* x (+ (* 1/3 x) -1/2)))
82.0ms	(* x (+ (* 1/3 x) -1/2))
31.0ms	(+ x (* x (* x (+ (* 1/3 x) -1/2))))
25.0ms	(* 1/3 x)

simplify2.3s

Counts: 95 → 95

prune716.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.8b	(log (exp (* x (* x (+ (* 1/3 x) -1/2)))))
0.4b	(* 1/3 x)
0.1b	(* x (+ (* 1/3 x) -1/2))
0.0b	(* x (* x (+ (* 1/3 x) -1/2)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

Slowest

60.0ms	(* x (* x (+ (* 1/3 x) -1/2)))
36.0ms	(* x (+ (* 1/3 x) -1/2))
10.0ms	(log (exp (* x (* x (+ (* 1/3 x) -1/2)))))
10.0ms	(* 1/3 x)

series390.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

149.0ms	(log (exp (* x (* x (+ (* 1/3 x) -1/2)))))
111.0ms	(* x (+ (* 1/3 x) -1/2))
102.0ms	(* x (* x (+ (* 1/3 x) -1/2)))
28.0ms	(* 1/3 x)

simplify1.5s

Counts: 98 → 98

prune815.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

2.7b	(log (+ 1 x))
2.7b	(log (+ 1 x))
2.7b	(log (+ 1 x))
0.3b	(cbrt (log (+ 1 x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `add-cbrt-cube` `log-pow` `insert-posit16` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 61

Calls

4 calls:

Slowest

5.0ms	(log (+ 1 x))
3.0ms	(log (+ 1 x))
3.0ms	(log (+ 1 x))
1.0ms	(cbrt (log (+ 1 x)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

67.0ms	(cbrt (log (+ 1 x)))
26.0ms	(log (+ 1 x))
25.0ms	(log (+ 1 x))
22.0ms	(log (+ 1 x))

simplify857.0ms

Counts: 73 → 73

prune564.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 20.2b

bsearch30.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.5s	2312×	body	1280	valid
579.0ms	1691×	body	640	valid
451.0ms	2687×	body	80	nan
187.0ms	859×	body	320	valid
148.0ms	2742×	body	80	valid
46.0ms	396×	body	160	valid