Details

sample86.0ms

Algorithm

intervals

Results

45.0ms	109×	body	1280	valid
20.0ms	89×	body	640	valid
5.0ms	234×	body	80	nan
5.0ms	35×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	10×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	8
1	15	8
2	20	8
3	23	8
done	23	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
3.8b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

12.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
119.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify2.2s

Counts

93 → 93

Iterations

Useful iterations: 3 (398.0ms)

Iter	Nodes	Cost
0	147	1318
1	353	1247
2	1054	1184
3	4612	1154
done	5000	1154

prune190.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune14.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
0.0b	(* eps (- eps 1.0))
3.8b	(log (fma 1.0 1.0 (* eps (- eps 1.0))))
3.8b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

200×	`*-un-lft-identity`
92×	`add-sqr-sqrt`
90×	`times-frac`
55×	`distribute-lft-out`
54×	`log-prod`
50×	`add-cube-cbrt`
44×	`unpow-prod-down` `cube-prod`
20×	`distribute-lft-out--` `difference-of-squares`
18×	`prod-diff`
12×	`add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in` `sum-cubes`
9×	`associate-/r*`
8×	`pow1` `add-cbrt-cube`
5×	`associate-r` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp` `associate-l`
2×	`sub-neg` `flip3--` `flip3-+` `associate-*r/` `div-exp` `log-pow` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `log-div` `frac-2neg` `div-sub` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 202

Calls

4 calls:

31.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
12.0ms	(* eps (- eps 1.0))
1.0ms	(log (fma 1.0 1.0 (* eps (- eps 1.0))))
19.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
44.0ms	(* eps (- eps 1.0))
68.0ms	(log (fma 1.0 1.0 (* eps (- eps 1.0))))
70.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

simplify1.0s

Counts

214 → 214

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	303	3962
1	687	3444
2	2522	3193
done	5001	3193

prune411.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (fma 1.0 1.0 (* eps (- eps 1.0)))) 3)
0.1b	(cbrt (pow (log (fma 1.0 1.0 (* eps (- eps 1.0)))) 3))
3.8b	(log (fma 1.0 1.0 (* eps (- eps 1.0))))
3.8b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
54×	`log-prod`
45×	`times-frac`
44×	`add-sqr-sqrt`
28×	`unpow-prod-down` `cube-prod`
26×	`add-cube-cbrt`
25×	`distribute-lft-out`
14×	`cbrt-prod`
11×	`pow1`
9×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
6×	`log-pow`
5×	`sum-cubes` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `rem-log-exp`
2×	`cube-mult` `unpow3` `associate-/r/` `sqr-pow`
1×	`pow-to-exp` `log-div` `pow-pow` `flip3-+` `pow1/3` `div-exp` `pow-exp` `rem-cbrt-cube` `flip-+` `div-inv` `rem-cube-cbrt`

Counts

4 → 130

Calls

4 calls:

2.0ms	(pow (log (fma 1.0 1.0 (* eps (- eps 1.0)))) 3)
2.0ms	(cbrt (pow (log (fma 1.0 1.0 (* eps (- eps 1.0)))) 3))
1.0ms	(log (fma 1.0 1.0 (* eps (- eps 1.0))))
17.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(pow (log (fma 1.0 1.0 (* eps (- eps 1.0)))) 3)
73.0ms	(cbrt (pow (log (fma 1.0 1.0 (* eps (- eps 1.0)))) 3))
72.0ms	(log (fma 1.0 1.0 (* eps (- eps 1.0))))
72.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

simplify644.0ms

Counts

142 → 142

Iterations

Useful iterations: 2 (200.0ms)

Iter	Nodes	Cost
0	266	2897
1	629	2522
2	2036	2335
done	5001	2335

prune347.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

regimes38.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	12	17
done	12	17

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3452×	body	1280	valid
573.0ms	2507×	body	640	valid
173.0ms	8035×	body	80	nan
157.0ms	1192×	body	320	valid
51.0ms	637×	body	160	valid
8.0ms	212×	body	80	valid