Details

sample174.0ms

Algorithm

intervals

Results

92.0ms	120×	body	1280	valid
37.0ms	81×	body	640	valid
20.0ms	257×	body	80	nan
9.0ms	31×	body	320	valid
3.0ms	15×	body	160	valid
1.0ms	9×	body	80	valid

simplify285.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize13.0ms

Local error

Found 2 expressions with local error:

3.8b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 97

Calls

2 calls:

Slowest

31.0ms	(/ (+ x 1) (- 1 x))
13.0ms	(log (/ (+ x 1) (- 1 x)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

87.0ms	(log (/ (+ x 1) (- 1 x)))
25.0ms	(/ (+ x 1) (- 1 x))

simplify901.0ms

Counts: 103 → 103

prune725.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 2/3 x)
0.1b	(* (* 2/3 x) x)
0.0b	(* x (+ (* (* 2/3 x) x) 2))
0.0b	(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
7×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`associate-*r/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `fma-udef`

Counts

4 → 78

Calls

4 calls:

Slowest

58.0ms	(* x (+ (* (* 2/3 x) x) 2))
29.0ms	(* (* 2/3 x) x)
21.0ms	(* 2/3 x)
0.0ms	(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(* x (+ (* (* 2/3 x) x) 2))
91.0ms	(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))
46.0ms	(* (* 2/3 x) x)
16.0ms	(* 2/3 x)

simplify1.5s

Counts: 90 → 90

prune962.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 2/3 x)
0.1b	(* (* 2/3 x) x)
0.1b	(* (* (* 2/3 x) x) x)
0.0b	(fma 2/5 (pow x 5) (+ (* (* (* 2/3 x) x) x) (* 2 x)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

Slowest

50.0ms	(* (* (* 2/3 x) x) x)
14.0ms	(* (* 2/3 x) x)
10.0ms	(* 2/3 x)
0.0ms	(fma 2/5 (pow x 5) (+ (* (* (* 2/3 x) x) x) (* 2 x)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

99.0ms	(fma 2/5 (pow x 5) (+ (* (* (* 2/3 x) x) x) (* 2 x)))
47.0ms	(* (* (* 2/3 x) x) x)
29.0ms	(* (* 2/3 x) x)
16.0ms	(* 2/3 x)

simplify1.3s

Counts: 89 → 89

prune937.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (/ (+ 1 x) (- 1 (* (* x x) x))))
0.0b	(* (* x x) x)
0.0b	(log1p (fma x x x))
0.0b	(+ (log (/ (+ 1 x) (- 1 (* (* x x) x)))) (log1p (fma x x x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
36×	`log-prod`
26×	`pow1`
24×	`times-frac`
23×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
18×	`associate-+l+`
12×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`distribute-lft-out`
6×	`pow-plus` `pow-prod-up`
5×	`expm1-log1p-u` `add-log-exp`
4×	`fma-def` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod`
2×	`pow2` `log-div` `log1p-udef` `sum-log` `flip3--` `rem-log-exp` `pow-sqr` `div-inv` `flip--`
1×	`+-commutative` `flip3-+` `div-exp` `associate-l` `pow3` `log1p-expm1` `*-commutative` `associate-+l-` `flip-+` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

Slowest

18.0ms	(* (* x x) x)
13.0ms	(+ (log (/ (+ 1 x) (- 1 (* (* x x) x)))) (log1p (fma x x x)))
6.0ms	(log (/ (+ 1 x) (- 1 (* (* x x) x))))
0.0ms	(log1p (fma x x x))

series394.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

230.0ms	(+ (log (/ (+ 1 x) (- 1 (* (* x x) x)))) (log1p (fma x x x)))
72.0ms	(log (/ (+ 1 x) (- 1 (* (* x x) x))))
48.0ms	(log1p (fma x x x))
43.0ms	(* (* x x) x)

simplify1.3s

Counts: 127 → 127

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.4s	3429×	body	1280	valid
1.8s	2523×	body	640	valid
1.4s	7913×	body	80	nan
896.0ms	1255×	body	320	valid
173.0ms	586×	body	160	valid
24.0ms	207×	body	80	valid