Details

sample172.0ms

Algorithm

intervals

Results

82.0ms	104×	body	1280	valid
38.0ms	82×	body	640	valid
19.0ms	286×	body	80	nan
13.0ms	44×	body	320	valid
3.0ms	18×	body	160	valid
1.0ms	8×	body	80	valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	27
3	27
2	24
1	17
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
5.2b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite44.0ms

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:

35.0ms	(/ (- 1 eps) (+ 1 eps))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1 eps) (+ 1 eps))
115.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify939.0ms

Counts

104 → 104

Iterations

Iter	Nodes
3	2217
2	828
1	381
0	162

prune821.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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 (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5))))
21.0ms	(* eps (* eps eps))
9.0ms	(* -2/5 (pow eps 5))

series227.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5))))
54.0ms	(* eps (* eps eps))
97.0ms	(* -2/5 (pow eps 5))

simplify5.2s

Counts

75 → 75

Iterations

Iter	Nodes
4	9346
3	1539
2	480
1	214
0	111

prune671.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* eps eps) eps)
0.1b	(* (* eps eps) eps)
0.1b	(* (* eps eps) (* (* eps eps) eps))
2.7b	(exp (log (fma (* (* eps eps) (* (* eps eps) eps)) -2/5 (fma (* (* eps eps) eps) -2/3 (* eps -2)))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

165×	`pow1`
81×	`pow-prod-up`
45×	`pow-plus`
35×	`add-cbrt-cube` `add-exp-log`
21×	`pow2` `pow-prod-down` `prod-exp` `pow-sqr` `cbrt-unprod`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`pow3`
4×	`expm1-log1p-u` `exp-prod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `associate-l` `exp-sum` `*-commutative`
2×	`unswap-sqr`
1×	`log-pow` `rem-exp-log`

Counts

4 → 147

Calls

4 calls:

23.0ms	(* (* eps eps) eps)
29.0ms	(* (* eps eps) eps)
64.0ms	(* (* eps eps) (* (* eps eps) eps))
3.0ms	(exp (log (fma (* (* eps eps) (* (* eps eps) eps)) -2/5 (fma (* (* eps eps) eps) -2/3 (* eps -2)))))

series226.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (* eps eps) eps)
50.0ms	(* (* eps eps) eps)
50.0ms	(* (* eps eps) (* (* eps eps) eps))
63.0ms	(exp (log (fma (* (* eps eps) (* (* eps eps) eps)) -2/5 (fma (* (* eps eps) eps) -2/3 (* eps -2)))))

simplify5.9s

Counts

159 → 159

Iterations

Iter	Nodes
4	7683
3	1958
2	634
1	279
0	119

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (sqrt (- 1 eps))) (log (/ (sqrt (- 1 eps)) (+ 1 eps))))
0.0b	(/ (sqrt (- 1 eps)) (+ 1 eps))
5.2b	(log (/ (sqrt (- 1 eps)) (+ 1 eps)))
5.3b	(log (sqrt (- 1 eps)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

170×	`*-un-lft-identity`
110×	`add-sqr-sqrt`
108×	`times-frac`
102×	`log-prod`
90×	`sqrt-prod`
65×	`add-cube-cbrt`
42×	`associate-+r+`
32×	`distribute-lft-out`
30×	`difference-of-squares`
15×	`distribute-lft-out--`
13×	`pow1`
11×	`log-pow`
10×	`add-exp-log`
9×	`associate-+l+` `associate-/l*`
6×	`log-div` `fma-def` `add-cbrt-cube` `sqrt-div` `associate-/r/`
4×	`expm1-log1p-u` `associate-/r*` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `rem-log-exp` `div-inv` `flip--`
2×	`sqrt-pow1` `pow1/2` `div-exp` `associate-+l-` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg`

Counts

4 → 227

Calls

4 calls:

37.0ms	(+ (log (sqrt (- 1 eps))) (log (/ (sqrt (- 1 eps)) (+ 1 eps))))
34.0ms	(/ (sqrt (- 1 eps)) (+ 1 eps))
13.0ms	(log (/ (sqrt (- 1 eps)) (+ 1 eps)))
9.0ms	(log (sqrt (- 1 eps)))

series631.0ms

Counts

4 → 12

Calls

4 calls:

356.0ms	(+ (log (sqrt (- 1 eps))) (log (/ (sqrt (- 1 eps)) (+ 1 eps))))
75.0ms	(/ (sqrt (- 1 eps)) (+ 1 eps))
124.0ms	(log (/ (sqrt (- 1 eps)) (+ 1 eps)))
76.0ms	(log (sqrt (- 1 eps)))

simplify7.1s

Counts

239 → 239

Iterations

Iter	Nodes
3	5630
2	1548
1	651
0	310

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	13
1	13
0	11

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.7s	3468×	body	1280	valid
1.6s	2436×	body	640	valid
559.0ms	7862×	body	80	nan
367.0ms	1244×	body	320	valid
132.0ms	641×	body	160	valid
16.0ms	211×	body	80	valid