Details

sample189.0ms

Algorithm

intervals

Results

90.0ms	107×	body	1280	valid
48.0ms	78×	body	640	valid
17.0ms	250×	body	80	nan
16.0ms	49×	body	320	valid
3.0ms	14×	body	160	valid
1.0ms	8×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	23
3	23
2	20
1	15
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
5.5b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite60.0ms

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:

46.0ms	(/ (- 1 eps) (+ 1 eps))
12.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (- 1 eps) (+ 1 eps))
83.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.1s

Counts

100 → 100

Iterations

Iter	Nodes
3	2199
2	794
1	365
0	158

prune893.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

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×	`*-commutative`
2×	`pow2` `diff-log` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `sum-log` `sub-neg` `flip3--` `pow3` `pow-exp` `flip--` `associate--r+`

Counts

4 → 92

Calls

4 calls:

90.0ms	(- (* -2/3 (* (* eps eps) eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
15.0ms	(* (* eps eps) eps)
12.0ms	(* 2/5 (pow eps 5))
53.0ms	(* -2/3 (* (* eps eps) eps))

series263.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (* -2/3 (* (* eps eps) eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
51.0ms	(* (* eps eps) eps)
77.0ms	(* 2/5 (pow eps 5))
53.0ms	(* -2/3 (* (* eps eps) eps))

simplify2.1s

Counts

104 → 104

Iterations

Iter	Nodes
3	4122
2	1052
1	348
0	137

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* -2/3 (log (exp (* (* eps eps) eps)))) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
0.1b	(* (* eps eps) eps)
0.1b	(* 2/5 (pow eps 5))
1.4b	(log (exp (* (* eps eps) eps)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
17×	`add-sqr-sqrt`
14×	`add-exp-log`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
10×	`associate-r` `add-log-exp`
9×	`log-prod`
6×	`pow-plus` `prod-exp` `associate--l+` `pow-prod-up`
4×	`unpow-prod-down` `associate-l` `cbrt-unprod` `insert-posit16` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `log-pow`
2×	`pow2` `diff-log` `pow-sqr` `*-commutative` `sqr-pow`
1×	`pow-to-exp` `exp-prod` `sum-log` `sub-neg` `flip3--` `exp-to-pow` `rem-log-exp` `pow3` `pow-exp` `flip--` `associate--r+`

Counts

4 → 91

Calls

4 calls:

16.0ms	(- (* -2/3 (log (exp (* (* eps eps) eps)))) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
23.0ms	(* (* eps eps) eps)
17.0ms	(* 2/5 (pow eps 5))
7.0ms	(log (exp (* (* eps eps) eps)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* -2/3 (log (exp (* (* eps eps) eps)))) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
59.0ms	(* (* eps eps) eps)
78.0ms	(* 2/5 (pow eps 5))
65.0ms	(log (exp (* (* eps eps) eps)))

simplify1.4s

Counts

103 → 103

Iterations

Iter	Nodes
3	3409
2	893
1	331
0	145

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

1.4b	(log (exp (* (* eps eps) eps)))
1.4b	(log (exp (* (* eps eps) eps)))
1.4b	(log (exp (* (* eps eps) eps)))
41.2b	(/ (- (pow (* -2/3 (log (exp (* (* eps eps) eps)))) 3) (pow (+ (* 2/5 (pow eps 5)) (* 2 eps)) 3)) (+ (* (* -2/3 (log (exp (* (* eps eps) eps)))) (* -2/3 (log (exp (* (* eps eps) eps))))) (+ (* (+ (* 2/5 (pow eps 5)) (* 2 eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps))) (* (* -2/3 (log (exp (* (* eps eps) eps)))) (+ (* 2/5 (pow eps 5)) (* 2 eps))))))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
39×	`times-frac`
33×	`*-un-lft-identity`
32×	`difference-of-squares`
25×	`add-cube-cbrt`
24×	`sqr-pow`
13×	`associate-/l*`
9×	`log-prod` `log-pow`
8×	`unpow-prod-down` `cube-prod`
7×	`pow1` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
4×	`difference-cubes` `insert-posit16` `distribute-lft-out--`
3×	`exp-prod` `associate-/r*` `exp-to-pow` `rem-log-exp`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `div-inv` `flip--`

Counts

4 → 118

Calls

4 calls:

4.0ms	(log (exp (* (* eps eps) eps)))
7.0ms	(log (exp (* (* eps eps) eps)))
7.0ms	(log (exp (* (* eps eps) eps)))
210.0ms	(/ (- (pow (* -2/3 (log (exp (* (* eps eps) eps)))) 3) (pow (+ (* 2/5 (pow eps 5)) (* 2 eps)) 3)) (+ (* (* -2/3 (log (exp (* (* eps eps) eps)))) (* -2/3 (log (exp (* (* eps eps) eps))))) (+ (* (+ (* 2/5 (pow eps 5)) (* 2 eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps))) (* (* -2/3 (log (exp (* (* eps eps) eps)))) (+ (* 2/5 (pow eps 5)) (* 2 eps))))))

series422.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(log (exp (* (* eps eps) eps)))
49.0ms	(log (exp (* (* eps eps) eps)))
42.0ms	(log (exp (* (* eps eps) eps)))
276.0ms	(/ (- (pow (* -2/3 (log (exp (* (* eps eps) eps)))) 3) (pow (+ (* 2/5 (pow eps 5)) (* 2 eps)) 3)) (+ (* (* -2/3 (log (exp (* (* eps eps) eps)))) (* -2/3 (log (exp (* (* eps eps) eps))))) (+ (* (+ (* 2/5 (pow eps 5)) (* 2 eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps))) (* (* -2/3 (log (exp (* (* eps eps) eps)))) (+ (* 2/5 (pow eps 5)) (* 2 eps))))))

simplify10.1s

Counts

130 → 130

Iterations

Iter	Nodes
3	11621
2	1653
1	460
0	183

prune2.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes91.0ms

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	18
1	18
0	13

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.9s	3349×	body	1280	valid
1.7s	2510×	body	640	valid
568.0ms	7863×	body	80	nan
423.0ms	1324×	body	320	valid
111.0ms	620×	body	160	valid
17.0ms	197×	body	80	valid