Details

sample245.0ms

Algorithm

intervals

Results

128.0ms	129×	body	1280	valid
55.0ms	66×	body	640	valid
27.0ms	263×	body	80	nan
16.0ms	39×	body	320	valid
4.0ms	16×	body	160	valid
1.0ms	6×	body	80	valid

simplify171.0ms

Counts

1 → 1

Iterations

Iter	Nodes
10	175
9	175
8	171
7	169
6	137
5	115
4	87
3	59
2	27
1	19
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
4.8b	(log (/ (+ x 1) (- 1 x)))

rewrite32.0ms

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:

23.0ms	(/ (+ x 1) (- 1 x))
7.0ms	(log (/ (+ x 1) (- 1 x)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (+ x 1) (- 1 x))
70.0ms	(log (/ (+ x 1) (- 1 x)))

simplify1.0s

Counts

103 → 103

Iterations

Iter	Nodes
3	2198
2	855
1	372
0	166

prune493.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))
0.0b	(* x (+ (* (* 2/3 x) x) 2))
0.1b	(* (* 2/3 x) x)
0.3b	(* 2/3 x)

rewrite107.0ms

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:

0.0ms	(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))
84.0ms	(* x (+ (* (* 2/3 x) x) 2))
16.0ms	(* (* 2/3 x) x)
6.0ms	(* 2/3 x)

series314.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))
169.0ms	(* x (+ (* (* 2/3 x) x) 2))
29.0ms	(* (* 2/3 x) x)
23.0ms	(* 2/3 x)

simplify2.5s

Counts

90 → 90

Iterations

Iter	Nodes
3	4164
2	899
1	275
0	112

prune805.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2/5 (pow x 5) (+ (* x (* (* 2/3 x) x)) (* x 2)))
0.1b	(* x (* (* 2/3 x) x))
0.1b	(* (* 2/3 x) x)
0.3b	(* 2/3 x)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `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:

0.0ms	(fma 2/5 (pow x 5) (+ (* x (* (* 2/3 x) x)) (* x 2)))
43.0ms	(* x (* (* 2/3 x) x))
21.0ms	(* (* 2/3 x) x)
10.0ms	(* 2/3 x)

series176.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(fma 2/5 (pow x 5) (+ (* x (* (* 2/3 x) x)) (* x 2)))
47.0ms	(* x (* (* 2/3 x) x))
49.0ms	(* (* 2/3 x) x)
17.0ms	(* 2/3 x)

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
3	3011
2	757
1	225
0	97

prune638.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (+ x 1) (- 1 x))))
4.8b	(log (/ (+ x 1) (- 1 x)))
4.8b	(log (/ (+ x 1) (- 1 x)))
4.8b	(log (/ (+ x 1) (- 1 x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
90×	`log-prod`
74×	`add-sqr-sqrt`
72×	`times-frac`
38×	`add-cube-cbrt`
24×	`difference-of-squares`
18×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--`
8×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `expm1-log1p-u` `add-cbrt-cube` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3--` `div-exp` `div-inv` `flip--`
1×	`pow1/3`

Counts

4 → 147

Calls

4 calls:

2.0ms	(cbrt (log (/ (+ x 1) (- 1 x))))
7.0ms	(log (/ (+ x 1) (- 1 x)))
7.0ms	(log (/ (+ x 1) (- 1 x)))
7.0ms	(log (/ (+ x 1) (- 1 x)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt (log (/ (+ x 1) (- 1 x))))
70.0ms	(log (/ (+ x 1) (- 1 x)))
110.0ms	(log (/ (+ x 1) (- 1 x)))
101.0ms	(log (/ (+ x 1) (- 1 x)))

simplify3.1s

Counts

159 → 159

Iterations

Iter	Nodes
4	5372
3	1906
2	737
1	360
0	174

prune794.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	20
1	20
0	14

end0.0ms

sample8.2s

Algorithm

intervals

Results

3.7s	3414×	body	1280	valid
1.7s	2522×	body	640	valid
1.4s	7861×	body	80	nan
1.0s	1218×	body	320	valid
187.0ms	637×	body	160	valid
25.0ms	209×	body	80	valid