Details

sample265.0ms

Algorithm

intervals

Results

170.0ms	116×	body	1280	valid
50.0ms	76×	body	640	valid
18.0ms	39×	body	320	valid
9.0ms	256×	pre	80	true
5.0ms	19×	body	160	valid
1.0ms	6×	body	80	valid

simplify11.0ms

Counts: 1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.3b

localize21.0ms

Local error

Found 2 expressions with local error:

5.1b	(log (- 1 x))
0.0b	(/ (log (- 1 x)) (log1p x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`times-frac` `add-cube-cbrt`
7×	`pow1`
6×	`log-prod`
5×	`add-exp-log` `log-pow`
4×	`log-div` `add-cbrt-cube` `associate-/l*`
3×	`associate-/r*`
2×	`expm1-log1p-u` `log1p-def` `flip3--` `div-sub` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `div-exp` `rem-log-exp` `div-inv` `distribute-lft-out--`

Counts

2 → 58

Calls

2 calls:

Slowest

25.0ms	(/ (log (- 1 x)) (log1p x))
10.0ms	(log (- 1 x))

series175.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

123.0ms	(/ (log (- 1 x)) (log1p x))
52.0ms	(log (- 1 x))

simplify1.4s

Counts: 64 → 64

prune287.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (log1p (- x)) (log1p x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

Slowest

8.0ms

(/ (log1p (- x)) (log1p x))

series132.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

132.0ms

(/ (log1p (- x)) (log1p x))

simplify1.1s

Counts: 33 → 33

prune246.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (- x) (fma 1/2 (* x x) 1))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

30×	`prod-diff`
27×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
13×	`distribute-rgt-neg-in`
12×	`distribute-lft-neg-in`
10×	`fma-neg`
5×	`add-log-exp`
4×	`neg-mul-1`
2×	`diff-log` `distribute-lft-out--`
1×	`associate--l-` `neg-sub0` `expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `neg-log` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u` `flip--` `associate--r+` `difference-of-squares`

Counts

1 → 61

Calls

1 calls:

Slowest

10.0ms

(- (- x) (fma 1/2 (* x x) 1))

series22.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

22.0ms

(- (- x) (fma 1/2 (* x x) 1))

simplify4.2s

Counts: 64 → 64

prune463.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (log1p (- x)) (sqrt (log1p x)))
0.1b	(* (/ 1 (sqrt (log1p x))) (/ (log1p (- x)) (sqrt (log1p x))))
0.1b	(/ 1 (sqrt (log1p x)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-sqr-sqrt`
94×	`times-frac`
65×	`*-un-lft-identity`
59×	`add-cube-cbrt`
53×	`sqrt-prod`
31×	`add-exp-log`
22×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
15×	`unswap-sqr`
12×	`associate-/r*`
11×	`div-exp`
8×	`prod-exp`
7×	`pow1`
6×	`cbrt-undiv` `associate-/l*`
4×	`cbrt-unprod` `div-inv`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `pow-flip` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `inv-pow`

Counts

3 → 176

Calls

3 calls:

Slowest

34.0ms	(* (/ 1 (sqrt (log1p x))) (/ (log1p (- x)) (sqrt (log1p x))))
10.0ms	(/ 1 (sqrt (log1p x)))
6.0ms	(/ (log1p (- x)) (sqrt (log1p x)))

series371.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

167.0ms	(/ (log1p (- x)) (sqrt (log1p x)))
114.0ms	(* (/ 1 (sqrt (log1p x))) (/ (log1p (- x)) (sqrt (log1p x))))
90.0ms	(/ 1 (sqrt (log1p x)))

simplify2.0s

Counts: 185 → 185

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.0s

Algorithm

intervals

Results

5.7s	3469×	body	1280	valid
2.0s	2446×	body	640	valid
584.0ms	1191×	body	320	valid
278.0ms	8000×	pre	80	true
165.0ms	659×	body	160	valid
27.0ms	235×	body	80	valid