Details

sample173.0ms

Algorithm

intervals

Results

79.0ms	98×	body	1280	valid
41.0ms	98×	body	640	valid
16.0ms	321×	body	80	nan
8.0ms	33×	body	320	valid
3.0ms	20×	body	160	valid
0.0ms	7×	body	80	valid

simplify28.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite107.0ms

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:

78.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
22.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series304.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
238.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify3.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
3	3015
2	882
1	365
0	147

prune686.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune37.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
5.3b	(log (+ 1.0 eps))
5.3b	(log (- 1.0 eps))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`pow1` `log-prod`
16×	`add-cube-cbrt` `prod-diff`
15×	`log-pow`
8×	`log-div`
6×	`distribute-lft-out--`
5×	`add-exp-log` `associate--l+`
4×	`fma-neg` `associate--r+`
3×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 87

Calls

3 calls:

33.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
11.0ms	(log (+ 1.0 eps))
17.0ms	(log (- 1.0 eps))

series679.0ms

Counts

3 → 9

Calls

3 calls:

518.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
73.0ms	(log (+ 1.0 eps))
85.0ms	(log (- 1.0 eps))

simplify3.7s

Counts

96 → 96

Iterations

Iter	Nodes
done	5009
3	3251
2	962
1	395
0	168

prune530.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize59.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ eps 1.0) (* (/ eps 1.0) (/ eps 1.0)))
0.2b	(* (* (/ eps 1.0) (* (/ eps 1.0) (/ eps 1.0))) -2/3)

rewrite371.0ms

Algorithm

rewrite-expression-head

Rules

96×	`add-exp-log` `add-cbrt-cube`
47×	`prod-exp` `cbrt-unprod`
26×	`cbrt-undiv` `div-exp`
25×	`pow1`
14×	`associate-l`
13×	`add-sqr-sqrt` `associate-*l/`
10×	`frac-times` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-r/`
9×	`pow-prod-down`
5×	`pow-prod-up`
4×	`associate-r`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `div-inv`

Counts

2 → 106

Calls

2 calls:

93.0ms	(* (/ eps 1.0) (* (/ eps 1.0) (/ eps 1.0)))
266.0ms	(* (* (/ eps 1.0) (* (/ eps 1.0) (/ eps 1.0))) -2/3)

series166.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(* (/ eps 1.0) (* (/ eps 1.0) (/ eps 1.0)))
70.0ms	(* (* (/ eps 1.0) (* (/ eps 1.0) (/ eps 1.0))) -2/3)

simplify3.9s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1428
1	434
0	155

prune647.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample6.8s

Algorithm

intervals

Results

3.3s	3398×	body	1280	valid
1.3s	2447×	body	640	valid
1.2s	7921×	body	80	nan
420.0ms	1256×	body	320	valid
114.0ms	693×	body	160	valid
14.0ms	206×	body	80	valid