Details

sample158.0ms

Algorithm

intervals

Results

76.0ms	104×	body	1280	valid
36.0ms	82×	body	640	valid
18.0ms	286×	body	80	nan
12.0ms	44×	body	320	valid
3.0ms	18×	body	160	valid
1.0ms	8×	body	80	valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	25
3	25
2	22
1	17
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 94

Calls

2 calls:

24.0ms	(/ (- 1 eps) (+ 1 eps))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (- 1 eps) (+ 1 eps))
125.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify823.0ms

Counts

100 → 100

Iterations

Iter	Nodes
3	2190
2	793
1	366
0	158

prune852.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5)))
0.1b	(* (* eps eps) eps)
0.1b	(* 2/5 (pow eps 5))
0.2b	(* -2/3 (* (* eps eps) eps))

rewrite449.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
7×	`associate-l`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`diff-log` `*-commutative`
2×	`pow2` `sub-neg` `associate--l+` `pow-sqr` `sqr-pow`
1×	`associate--l-` `pow-to-exp` `flip3--` `pow3` `pow-exp` `flip--`

Counts

4 → 94

Calls

4 calls:

370.0ms	(- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5)))
20.0ms	(* (* eps eps) eps)
8.0ms	(* 2/5 (pow eps 5))
50.0ms	(* -2/3 (* (* eps eps) eps))

series263.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(- (- (* -2/3 (* (* eps eps) eps)) (* 2 eps)) (* 2/5 (pow eps 5)))
47.0ms	(* (* eps eps) eps)
59.0ms	(* 2/5 (pow eps 5))
55.0ms	(* -2/3 (* (* eps eps) eps))

simplify1.4s

Counts

106 → 106

Iterations

Iter	Nodes
3	3481
2	885
1	342
0	139

prune933.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* eps (* (* eps eps) (* eps eps)))
0.1b	(* (* eps (* (* eps eps) (* eps eps))) 2/5)
0.1b	(* (* eps eps) (* eps eps))
0.2b	(* (* eps eps) -2/3)

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

241×	`pow1`
86×	`pow-prod-up`
64×	`add-cbrt-cube` `add-exp-log`
58×	`pow-prod-down`
43×	`prod-exp` `cbrt-unprod`
38×	`pow-sqr`
30×	`pow-plus`
23×	`pow2`
9×	`add-sqr-sqrt`
8×	`associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
1×	`swap-sqr`

Counts

4 → 166

Calls

4 calls:

69.0ms	(* eps (* (* eps eps) (* eps eps)))
278.0ms	(* (* eps (* (* eps eps) (* eps eps))) 2/5)
33.0ms	(* (* eps eps) (* eps eps))
28.0ms	(* (* eps eps) -2/3)

series256.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* eps (* (* eps eps) (* eps eps)))
71.0ms	(* (* eps (* (* eps eps) (* eps eps))) 2/5)
62.0ms	(* (* eps eps) (* eps eps))
35.0ms	(* (* eps eps) -2/3)

simplify1.9s

Counts

178 → 178

Iterations

Iter	Nodes
3	3162
2	922
1	378
0	142

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize35.0ms

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)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 213

Calls

4 calls:

25.0ms	(+ (log (sqrt (- 1 eps))) (log (/ (sqrt (- 1 eps)) (+ 1 eps))))
14.0ms	(/ (sqrt (- 1 eps)) (+ 1 eps))
6.0ms	(log (/ (sqrt (- 1 eps)) (+ 1 eps)))
4.0ms	(log (sqrt (- 1 eps)))

series542.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(+ (log (sqrt (- 1 eps))) (log (/ (sqrt (- 1 eps)) (+ 1 eps))))
67.0ms	(/ (sqrt (- 1 eps)) (+ 1 eps))
144.0ms	(log (/ (sqrt (- 1 eps)) (+ 1 eps)))
75.0ms	(log (sqrt (- 1 eps)))

simplify2.6s

Counts

225 → 225

Iterations

Iter	Nodes
3	4315
2	1452
1	622
0	302

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	17
1	17
0	12

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.0s	3468×	body	1280	valid
1.3s	2436×	body	640	valid
750.0ms	1244×	body	320	valid
704.0ms	7862×	body	80	nan
128.0ms	641×	body	160	valid
19.0ms	211×	body	80	valid