Details

sample226.0ms

Algorithm

intervals

Results

102.0ms	111×	body	1280	valid
63.0ms	83×	body	640	valid
27.0ms	284×	body	80	nan
12.0ms	32×	body	320	valid
5.0ms	20×	body	160	valid
1.0ms	10×	body	80	valid

simplify158.0ms

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: 57.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
5.5b	(log (/ (+ x 1) (- 1 x)))

rewrite35.0ms

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))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ x 1) (- 1 x))
86.0ms	(log (/ (+ x 1) (- 1 x)))

simplify1.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	2005
3	2005
2	1036
1	387
0	166

prune322.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2/5 (pow x 5) (* (* 2/3 (* x x)) x))
0.1b	(* (* 2/3 (* x x)) x)
0.2b	(* 2/3 (* x x))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

0.0ms	(fma 2/5 (pow x 5) (* (* 2/3 (* x x)) x))
53.0ms	(* (* 2/3 (* x x)) x)
16.0ms	(* 2/3 (* x x))

series263.0ms

Counts

3 → 9

Calls

3 calls:

165.0ms	(fma 2/5 (pow x 5) (* (* 2/3 (* x x)) x))
50.0ms	(* (* 2/3 (* x x)) x)
48.0ms	(* 2/3 (* x x))

simplify1.0s

Counts

66 → 66

Iterations

Iter	Nodes
done	2002
3	2002
2	607
1	198
0	80

prune247.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

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))
5.5b	(log (/ (+ x 1) (- 1 (* x x))))

rewrite71.0ms

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:

32.0ms	(/ (+ x 1) (- 1 (* x x)))
24.0ms	(+ (log (/ (+ x 1) (- 1 (* x x)))) (log1p x))
12.0ms	(log (/ (+ x 1) (- 1 (* x x))))

series260.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (+ x 1) (- 1 (* x x)))
173.0ms	(+ (log (/ (+ x 1) (- 1 (* x x)))) (log1p x))
42.0ms	(log (/ (+ x 1) (- 1 (* x x))))

simplify1.1s

Counts

145 → 145

Iterations

Iter	Nodes
done	2000
3	2000
2	1469
1	552
0	224

prune611.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (log1p x) (log (- 1 (* x x)))) (log1p x))
0.0b	(- (log1p x) (log (- 1 (* x x))))
3.6b	(log (- 1 (* x x)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
24×	`prod-diff`
21×	`add-cube-cbrt`
16×	`associate-+l+`
13×	`pow1`
11×	`add-log-exp`
10×	`log-prod` `log-pow`
6×	`log-div` `log1p-udef` `sum-log` `fma-def` `diff-log` `distribute-lft-out--` `difference-of-squares`
5×	`associate--r+`
4×	`flip3--` `add-exp-log` `flip--` `associate--r-`
3×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `fma-neg` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`log1p-def`
1×	`+-commutative` `flip3-+` `rem-log-exp` `associate-+l-` `flip-+`

Counts

3 → 107

Calls

3 calls:

58.0ms	(+ (- (log1p x) (log (- 1 (* x x)))) (log1p x))
16.0ms	(- (log1p x) (log (- 1 (* x x))))
4.0ms	(log (- 1 (* x x)))

series426.0ms

Counts

3 → 9

Calls

3 calls:

187.0ms	(+ (- (log1p x) (log (- 1 (* x x)))) (log1p x))
90.0ms	(- (log1p x) (log (- 1 (* x x))))
149.0ms	(log (- 1 (* x x)))

simplify1.1s

Counts

116 → 116

Iterations

Iter	Nodes
done	2004
3	2004
2	1307
1	494
0	189

prune509.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	9

end0.0ms

sample7.0s

Algorithm

intervals

Results

3.6s	3452×	body	1280	valid
1.6s	2460×	body	640	valid
868.0ms	8057×	body	80	nan
454.0ms	1240×	body	320	valid
166.0ms	647×	body	160	valid
22.0ms	201×	body	80	valid