Details

sample219.0ms

Algorithm

intervals

Results

108.0ms	107×	body	1280	valid
46.0ms	78×	body	640	valid
25.0ms	250×	body	80	nan
20.0ms	49×	body	320	valid
4.0ms	14×	body	160	valid
1.0ms	8×	body	80	valid

simplify249.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
5.6b	(log (/ (+ x 1) (- 1 x)))

rewrite38.0ms

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:

24.0ms	(/ (+ x 1) (- 1 x))
13.0ms	(log (/ (+ x 1) (- 1 x)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (+ x 1) (- 1 x))
90.0ms	(log (/ (+ x 1) (- 1 x)))

simplify1.3s

Counts

103 → 103

Iterations

Iter	Nodes
3	2198
2	855
1	372
0	166

prune717.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)

rewrite100.0ms

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)))
80.0ms	(* x (+ (* (* 2/3 x) x) 2))
14.0ms	(* (* 2/3 x) x)
6.0ms	(* 2/3 x)

series263.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(fma 2/5 (pow x 5) (* x (+ (* (* 2/3 x) x) 2)))
127.0ms	(* x (+ (* (* 2/3 x) x) 2))
44.0ms	(* (* 2/3 x) x)
16.0ms	(* 2/3 x)

simplify2.3s

Counts

90 → 90

Iterations

Iter	Nodes
3	4164
2	899
1	275
0	112

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite125.0ms

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:

0.0ms	(fma 2/5 (pow x 5) (+ (* (* (* 2/3 x) x) x) (* 2 x)))
85.0ms	(* (* (* 2/3 x) x) x)
28.0ms	(* (* 2/3 x) x)
11.0ms	(* 2/3 x)

series182.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(fma 2/5 (pow x 5) (+ (* (* (* 2/3 x) x) x) (* 2 x)))
51.0ms	(* (* (* 2/3 x) x) x)
36.0ms	(* (* 2/3 x) x)
16.0ms	(* 2/3 x)

simplify1.9s

Counts

89 → 89

Iterations

Iter	Nodes
3	3300
2	785
1	232
0	96

prune944.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1 x) (- 1 (* (* x x) x)))
0.0b	(+ (log (/ (+ 1 x) (- 1 (* (* x x) x)))) (log1p (fma x x x)))
0.1b	(* (* x x) x)
5.2b	(log (/ (+ 1 x) (- 1 (* (* x x) x))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
36×	`log-prod` `times-frac`
32×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
26×	`pow1`
18×	`associate-+l+`
14×	`add-exp-log`
12×	`distribute-lft-out`
11×	`add-cbrt-cube`
6×	`pow-plus` `associate-/r/` `pow-prod-up`
5×	`add-log-exp`
4×	`expm1-log1p-u` `fma-def` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`associate-/r` `flip3--` `associate-r*` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `div-inv` `flip--`
2×	`pow2` `log-div` `sum-log` `flip3-+` `div-exp` `rem-log-exp` `pow-sqr` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `log1p-udef` `clear-num` `frac-2neg` `associate-l` `pow3` `*-commutative` `associate-+l-` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

17.0ms	(/ (+ 1 x) (- 1 (* (* x x) x)))
23.0ms	(+ (log (/ (+ 1 x) (- 1 (* (* x x) x)))) (log1p (fma x x x)))
28.0ms	(* (* x x) x)
12.0ms	(log (/ (+ 1 x) (- 1 (* (* x x) x))))

series400.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (+ 1 x) (- 1 (* (* x x) x)))
231.0ms	(+ (log (/ (+ 1 x) (- 1 (* (* x x) x)))) (log1p (fma x x x)))
40.0ms	(* (* x x) x)
74.0ms	(log (/ (+ 1 x) (- 1 (* (* x x) x))))

simplify3.6s

Counts

153 → 153

Iterations

Iter	Nodes
3	4715
2	1408
1	542
0	223

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	18
1	18
0	14

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.5s	3349×	body	1280	valid
2.1s	2510×	body	640	valid
1.3s	7863×	body	80	nan
622.0ms	1323×	body	320	valid
159.0ms	623×	body	160	valid
23.0ms	195×	body	80	valid