Details

sample148.0ms

Algorithm

intervals

Results

79.0ms	107×	body	1280	valid
31.0ms	79×	body	640	valid
12.0ms	259×	body	80	nan
11.0ms	46×	body	320	valid
2.0ms	16×	body	160	valid
1.0ms	8×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
4.9b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite51.0ms

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:

33.0ms	(/ (- 1 eps) (+ 1 eps))
15.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series127.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1 eps) (+ 1 eps))
94.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify2.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5015
3	3256
2	909
1	375
0	158

prune368.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* -2/3 eps) (* eps eps)) (- (* eps -2) (* 2/5 (pow eps 5))))
0.1b	(* 2/5 (pow eps 5))
0.1b	(* (* -2/3 eps) (* eps eps))
0.4b	(* -2/3 eps)

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
16×	`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`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`associate-+r+` `sum-log` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `pow-exp` `flip-+`

Counts

4 → 84

Calls

4 calls:

69.0ms	(+ (* (* -2/3 eps) (* eps eps)) (- (* eps -2) (* 2/5 (pow eps 5))))
21.0ms	(* 2/5 (pow eps 5))
44.0ms	(* (* -2/3 eps) (* eps eps))
6.0ms	(* -2/3 eps)

series231.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(+ (* (* -2/3 eps) (* eps eps)) (- (* eps -2) (* 2/5 (pow eps 5))))
59.0ms	(* 2/5 (pow eps 5))
57.0ms	(* (* -2/3 eps) (* eps eps))
19.0ms	(* -2/3 eps)

simplify3.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
3	4679
2	976
1	327
0	139

prune425.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (+ 1 eps) (- 1 eps)))
0.0b	(/ (+ 1 eps) (- 1 eps))
4.9b	(log (/ 1 (/ (+ 1 eps) (- 1 eps))))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

372×	`times-frac`
351×	`*-un-lft-identity`
253×	`add-sqr-sqrt`
154×	`add-cube-cbrt`
95×	`log-prod`
66×	`difference-of-squares`
49×	`distribute-lft-out`
36×	`associate-/r*`
33×	`distribute-lft-out--`
28×	`add-exp-log`
18×	`associate-/r/`
15×	`div-exp`
10×	`add-cbrt-cube` `div-inv`
8×	`flip3--` `flip--`
7×	`rem-log-exp` `associate-/l*`
6×	`pow1`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`log-pow` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-flip` `inv-pow` `associate-/l/`
1×	`log-div` `flip3-+` `log-rec` `flip-+`

Counts

3 → 311

Calls

3 calls:

39.0ms	(/ 1 (/ (+ 1 eps) (- 1 eps)))
24.0ms	(/ (+ 1 eps) (- 1 eps))
31.0ms	(log (/ 1 (/ (+ 1 eps) (- 1 eps))))

series132.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1 (/ (+ 1 eps) (- 1 eps)))
25.0ms	(/ (+ 1 eps) (- 1 eps))
74.0ms	(log (/ 1 (/ (+ 1 eps) (- 1 eps))))

simplify1.7s

Counts

320 → 320

Iterations

Iter	Nodes
done	5002
2	2619
1	1004
0	386

prune614.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* eps eps) (+ eps -1))
0.1b	(* (* eps eps) eps)
4.8b	(log (- (* eps eps) (+ eps -1)))
4.8b	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `log-prod`
25×	`pow1` `*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
13×	`add-exp-log`
9×	`add-cbrt-cube` `add-log-exp`
8×	`difference-of-squares`
6×	`pow-plus` `pow-prod-up`
4×	`insert-posit16`
3×	`log-div` `rem-log-exp` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`pow2` `flip3--` `diff-log` `associate-/r/` `pow-sqr` `log-pow` `flip--`
1×	`sum-log` `sub-neg` `flip3-+` `div-exp` `associate-l` `pow3` `*-commutative` `flip-+` `div-inv` `associate--r+` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

20.0ms	(- (* eps eps) (+ eps -1))
35.0ms	(* (* eps eps) eps)
30.0ms	(log (- (* eps eps) (+ eps -1)))
8.0ms	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))

series137.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (* eps eps) (+ eps -1))
35.0ms	(* (* eps eps) eps)
38.0ms	(log (- (* eps eps) (+ eps -1)))
46.0ms	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))

simplify2.4s

Counts

109 → 109

Iterations

Iter	Nodes
done	5005
3	3573
2	1190
1	527
0	221

prune325.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes22.0ms

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
done	18
1	18
0	13

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.7s	3359×	body	1280	valid
1.1s	2543×	body	640	valid
408.0ms	7784×	body	80	nan
330.0ms	1258×	body	320	valid
168.0ms	648×	body	160	valid
12.0ms	192×	body	80	valid