Details

sample161.0ms

Algorithm

intervals

Results

80.0ms	113×	body	1280	valid
27.0ms	71×	body	640	valid
11.0ms	48×	body	320	valid
9.0ms	208×	body	80	nan
2.0ms	15×	body	160	valid
1.0ms	9×	body	80	valid

simplify53.0ms

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite87.0ms

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*` `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 → 85

Calls

2 calls:

45.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
28.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series258.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
210.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify4.7s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
3	2980
2	831
1	351
0	145

prune812.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize44.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0))))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
0.1b	(* eps (* eps eps))
6.0b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
6.0b	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0)))))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

58×	`log-prod`
47×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
40×	`times-frac`
27×	`add-cube-cbrt`
26×	`associate-+l+`
24×	`pow1`
21×	`cube-unmult`
13×	`add-exp-log`
10×	`sum-cubes`
9×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`log-div` `log-pow`
5×	`flip3-+` `pow-prod-up` `flip-+`
4×	`associate-/r/` `insert-posit16` `distribute-lft-out` `add-log-exp`
3×	`associate-+r+` `rem-log-exp` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r-` `div-inv`
1×	`pow2` `+-commutative` `sum-log` `pow-plus` `div-exp` `associate-r` `pow-sqr` `*-commutative` `associate-+l-` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

112.0ms	(+ (log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0))))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
35.0ms	(* eps (* eps eps))
36.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
70.0ms	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0)))))

series582.0ms

Counts

4 → 12

Calls

4 calls:

325.0ms	(+ (log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0))))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
43.0ms	(* eps (* eps eps))
111.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
103.0ms	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0)))))

simplify3.6s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	1541
1	649
0	270

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize207.0ms

Local error

Found 4 expressions with local error:

6.0b	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
6.0b	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0)))))
6.0b	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0)))))
6.0b	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0)))))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

81×	`log-prod`
60×	`times-frac`
59×	`add-sqr-sqrt` `*-un-lft-identity`
35×	`add-cube-cbrt`
30×	`cube-unmult`
15×	`sum-cubes`
14×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
7×	`rem-log-exp`
6×	`associate-/r/`
5×	`log-div`
4×	`flip3-+` `add-cbrt-cube` `log-pow` `flip-+` `insert-posit16` `add-log-exp`
3×	`div-exp` `div-inv`

Counts

4 → 129

Calls

4 calls:

37.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
49.0ms	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0)))))
51.0ms	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0)))))
74.0ms	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0)))))

series448.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
101.0ms	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0)))))
105.0ms	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0)))))
136.0ms	(log (/ (- 1.0 eps) (+ (* eps (* eps eps)) (* 1.0 (* 1.0 1.0)))))

simplify6.9s

Counts

141 → 141

Iterations

Iter	Nodes
done	5023
3	3878
2	990
1	445
0	185

prune1.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes229.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.2s	3417×	body	1280	valid
1.1s	2493×	body	640	valid
436.0ms	208×	body	80	valid
381.0ms	8071×	body	80	nan
291.0ms	1254×	body	320	valid
77.0ms	628×	body	160	valid