Details

sample88.0ms

Algorithm

intervals

Results

44.0ms	108×	body	1280	valid
22.0ms	87×	body	640	valid
5.0ms	259×	body	80	nan
5.0ms	38×	body	320	valid
1.0ms	18×	body	160	valid
0.0ms	5×	body	80	valid

simplify9.0ms

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: 58.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite22.0ms

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:

13.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series165.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
131.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	147	1318
1	351	1247
2	871	1184
3	2438	1155
done	5000	1154

prune190.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `prod-diff` `add-log-exp`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `diff-log` `add-cbrt-cube` `flip--` `fma-udef` `log1p-expm1-u` `associate--r+` `difference-of-squares`

Counts

1 → 20

Calls

1 calls:

4.0ms

(- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))

series96.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

(- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))

simplify1.3s

Counts

23 → 23

Iterations

Useful iterations: 3 (369.0ms)

Iter	Nodes	Cost
0	54	519
1	127	412
2	362	350
3	1759	313
done	5001	313

prune62.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
0.6b	(pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)
0.6b	(cbrt (fma (/ eps 1.0) (/ eps 1.0) eps))
29.0b	(/ (- (pow eps 4) (pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)) (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt`
48×	`times-frac` `difference-of-squares`
46×	`unpow-prod-down`
37×	`*-un-lft-identity`
29×	`add-cube-cbrt` `sqr-pow`
18×	`cbrt-prod`
16×	`associate-/l*`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `associate-/r*`
2×	`pow-pow` `pow1/3` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `flip3--` `frac-2neg` `div-sub` `div-exp` `pow-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

4 → 130

Calls

4 calls:

0.0ms	(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
2.0ms	(pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)
1.0ms	(cbrt (fma (/ eps 1.0) (/ eps 1.0) eps))
51.0ms	(/ (- (pow eps 4) (pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)) (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
159.0ms	(pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)
111.0ms	(cbrt (fma (/ eps 1.0) (/ eps 1.0) eps))
267.0ms	(/ (- (pow eps 4) (pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)) (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)))

simplify730.0ms

Counts

142 → 142

Iterations

Useful iterations: 2 (286.0ms)

Iter	Nodes	Cost
0	306	5132
1	673	4934
2	1725	4504
done	5000	4504

prune507.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))
3.1b	(exp (log (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`log-prod` `exp-prod` `exp-sum` `add-log-exp`
3×	`pow1` `prod-diff`
2×	`add-exp-log` `expm1-log1p-u` `log-div` `flip3--` `exp-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u` `difference-of-squares`
1×	`sub-neg` `fma-neg` `diff-log` `log-pow` `fma-udef` `rem-exp-log` `associate--r+`

Counts

2 → 40

Calls

2 calls:

4.0ms	(- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))
5.0ms	(exp (log (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))))

series199.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))
100.0ms	(exp (log (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))))

simplify1.6s

Counts

46 → 46

Iterations

Useful iterations: 3 (400.0ms)

Iter	Nodes	Cost
0	90	973
1	170	800
2	415	679
3	1840	632
done	5001	632

prune112.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes63.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b 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

sample2.5s

Algorithm

intervals

Results

1.4s	3365×	body	1280	valid
548.0ms	2489×	body	640	valid
166.0ms	8082×	body	80	nan
156.0ms	1260×	body	320	valid
52.0ms	683×	body	160	valid
7.0ms	203×	body	80	valid