Details

sample189.0ms

Algorithm

intervals

Results

108.0ms	129×	body	1280	valid
34.0ms	66×	body	640	valid
19.0ms	263×	body	80	nan
11.0ms	39×	body	320	valid
3.0ms	16×	body	160	valid
1.0ms	6×	body	80	valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	25
3	25
2	22
1	15
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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-/l*`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 98

Calls

2 calls:

17.0ms	(/ (- 1 eps) (+ 1 eps))
22.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (- 1 eps) (+ 1 eps))
73.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
3	2291
2	830
1	380
0	162

prune402.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5))))
0.1b	(* eps (* eps eps))
0.1b	(* -2/5 (pow eps 5))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
13×	`add-sqr-sqrt` `add-exp-log`
10×	`add-cbrt-cube`
8×	`associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `prod-exp`
5×	`pow-prod-up`
4×	`unpow-prod-down` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `fma-udef`

Counts

3 → 66

Calls

3 calls:

0.0ms	(fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5))))
28.0ms	(* eps (* eps eps))
17.0ms	(* -2/5 (pow eps 5))

series245.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5))))
57.0ms	(* eps (* eps eps))
88.0ms	(* -2/5 (pow eps 5))

simplify5.0s

Counts

75 → 75

Iterations

Iter	Nodes
4	8671
3	1543
2	479
1	212
0	111

prune453.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
0.2b	(exp (log (log (/ (- 1 eps) (+ 1 eps)))))
4.8b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

16.0ms	(/ (- 1 eps) (+ 1 eps))
3.0ms	(exp (log (log (/ (- 1 eps) (+ 1 eps)))))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series245.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (- 1 eps) (+ 1 eps))
121.0ms	(exp (log (log (/ (- 1 eps) (+ 1 eps)))))
96.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.4s

Counts

126 → 126

Iterations

Iter	Nodes
3	2390
2	860
1	416
0	186

prune486.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
0.2b	(pow E (log (log (/ (- 1 eps) (+ 1 eps)))))
4.8b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
48×	`times-frac`
34×	`log-prod`
29×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`add-exp-log` `distribute-lft-out--`
7×	`pow1`
6×	`associate-/l*`
5×	`add-cbrt-cube`
4×	`unpow-prod-up` `pow-unpow` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `unpow-prod-down` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `div-exp` `rem-log-exp` `pow-exp` `flip-+` `div-inv` `associate-/l/`
1×	`pow-to-exp` `cbrt-undiv` `log-div` `e-exp-1` `clear-num` `pow-pow` `frac-2neg` `flip3--` `div-sub` `flip--` `sqr-pow`

Counts

3 → 124

Calls

3 calls:

16.0ms	(/ (- 1 eps) (+ 1 eps))
3.0ms	(pow E (log (log (/ (- 1 eps) (+ 1 eps)))))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series581.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (- 1 eps) (+ 1 eps))
474.0ms	(pow E (log (log (/ (- 1 eps) (+ 1 eps)))))
82.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify3.9s

Counts

133 → 133

Iterations

Iter	Nodes
3	3185
2	1106
1	502
0	214

prune542.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes71.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	13
1	13
0	11

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.7s	3415×	body	1280	valid
1.3s	2517×	body	640	valid
911.0ms	7861×	body	80	nan
412.0ms	1222×	body	320	valid
112.0ms	635×	body	160	valid
20.0ms	211×	body	80	valid