Details

sample227.0ms

Algorithm

intervals

Results

128.0ms	107×	body	1280	valid
43.0ms	79×	body	640	valid
19.0ms	259×	body	80	nan
16.0ms	46×	body	320	valid
3.0ms	16×	body	160	valid
1.0ms	8×	body	80	valid

simplify179.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	197
8	197
7	194
6	152
5	136
4	101
3	61
2	29
1	21
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
4.9b	(log (/ (+ x 1) (- 1 x)))

rewrite44.0ms

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:

28.0ms	(/ (+ x 1) (- 1 x))
13.0ms	(log (/ (+ x 1) (- 1 x)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ x 1) (- 1 x))
68.0ms	(log (/ (+ x 1) (- 1 x)))

simplify2.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	3820
2	1036
1	387
0	166

prune308.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

3 → 55

Calls

3 calls:

0.0ms	(fma (pow x 5) 2/5 (* x (fma (* 2/3 x) x 2)))
7.0ms	(* x (fma (* 2/3 x) x 2))
7.0ms	(* 2/3 x)

series238.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(fma (pow x 5) 2/5 (* x (fma (* 2/3 x) x 2)))
128.0ms	(* x (fma (* 2/3 x) x 2))
17.0ms	(* 2/3 x)

simplify1.9s

Counts

64 → 64

Iterations

Iter	Nodes
done	5003
3	1923
2	507
1	185
0	87

prune267.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 1) (- 1 (* x x)))
0.0b	(+ (log (/ (+ x 1) (- 1 (* x x)))) (log1p x))
5.0b	(log (/ (+ x 1) (- 1 (* x x))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
60×	`times-frac`
52×	`log-prod`
48×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
26×	`associate-+l+` `difference-of-squares`
18×	`distribute-lft-out`
8×	`add-exp-log`
6×	`pow1` `associate-/r/`
5×	`associate-/r*` `add-cbrt-cube`
4×	`fma-def` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `flip3--` `log-pow` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--`
2×	`log-div` `sum-log` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `log1p-udef` `clear-num` `frac-2neg` `associate-+l-`

Counts

3 → 136

Calls

3 calls:

26.0ms	(/ (+ x 1) (- 1 (* x x)))
30.0ms	(+ (log (/ (+ x 1) (- 1 (* x x)))) (log1p x))
9.0ms	(log (/ (+ x 1) (- 1 (* x x))))

series249.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (+ x 1) (- 1 (* x x)))
161.0ms	(+ (log (/ (+ x 1) (- 1 (* x x)))) (log1p x))
50.0ms	(log (/ (+ x 1) (- 1 (* x x))))

simplify1.6s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	1469
1	552
0	224

prune569.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (log1p x) (log (/ 1 (- 1 (* x x))))) (log1p x))
0.0b	(+ (log1p x) (log (/ 1 (- 1 (* x x)))))
2.2b	(log (/ 1 (- 1 (* x x))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod` `*-un-lft-identity`
30×	`times-frac`
29×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`associate-+r+`
12×	`sum-log` `difference-of-squares`
11×	`add-log-exp`
9×	`distribute-lft-out`
8×	`pow1` `fma-def` `add-exp-log`
6×	`log1p-udef` `log-pow`
5×	`log-rec`
4×	`rem-log-exp` `associate-/r/`
3×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `associate-+l-` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `div-exp` `unsub-neg` `flip-+` `div-inv` `flip--`
1×	`rec-exp` `associate-+l+` `1-exp` `pow-flip` `inv-pow`

Counts

3 → 115

Calls

3 calls:

77.0ms	(+ (+ (log1p x) (log (/ 1 (- 1 (* x x))))) (log1p x))
18.0ms	(+ (log1p x) (log (/ 1 (- 1 (* x x)))))
7.0ms	(log (/ 1 (- 1 (* x x))))

series438.0ms

Counts

3 → 9

Calls

3 calls:

193.0ms	(+ (+ (log1p x) (log (/ 1 (- 1 (* x x))))) (log1p x))
77.0ms	(+ (log1p x) (log (/ 1 (- 1 (* x x)))))
168.0ms	(log (/ 1 (- 1 (* x x))))

simplify1.6s

Counts

124 → 124

Iterations

Iter	Nodes
done	5004
2	1683
1	567
0	232

prune558.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.3s	3360×	body	1280	valid
1.8s	2543×	body	640	valid
581.0ms	7784×	body	80	nan
417.0ms	1256×	body	320	valid
144.0ms	644×	body	160	valid
16.0ms	197×	body	80	valid