Details

sample182.0ms

Algorithm

intervals

Results

96.0ms	110×	body	1280	valid
39.0ms	83×	body	640	valid
17.0ms	246×	body	80	nan
11.0ms	37×	body	320	valid
4.0ms	21×	body	160	valid
0.0ms	5×	body	80	valid

simplify15.0ms

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: 59.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
5.8b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite54.0ms

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:

45.0ms	(/ (- 1 eps) (+ 1 eps))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- 1 eps) (+ 1 eps))
92.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify941.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1336
1	393
0	158

prune359.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

27×	`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`
5×	`pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`diff-log` `sqr-pow`
1×	`pow2` `pow-to-exp` `sum-log` `sub-neg` `pow-plus` `flip3--` `cube-unmult` `pow-exp` `pow-sqr` `flip--` `associate--r+`

Counts

4 → 88

Calls

4 calls:

63.0ms	(- (* (* eps (* eps eps)) -2/3) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
16.0ms	(* 2/5 (pow eps 5))
30.0ms	(* eps (* eps eps))
72.0ms	(* (* eps (* eps eps)) -2/3)

series285.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* (* eps (* eps eps)) -2/3) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
81.0ms	(* 2/5 (pow eps 5))
56.0ms	(* eps (* eps eps))
72.0ms	(* (* eps (* eps eps)) -2/3)

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1814
1	362
0	142

prune305.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`pow1` `associate-l`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`prod-exp`
6×	`add-log-exp`
5×	`sub-neg` `cbrt-unprod` `unswap-sqr`
4×	`distribute-rgt-in` `unpow-prod-down` `distribute-lft-in` `pow-prod-down` `associate--l+` `insert-posit16`
3×	`*-commutative`
2×	`flip3--` `associate-*r/` `flip--` `sqr-pow`
1×	`pow-to-exp` `diff-log` `pow-exp`

Counts

4 → 88

Calls

4 calls:

64.0ms	(* eps (- (* (* eps eps) -2/3) 2))
49.0ms	(- (* eps (- (* (* eps eps) -2/3) 2)) (* (pow eps 5) 2/5))
8.0ms	(* (pow eps 5) 2/5)
14.0ms	(* (* eps eps) -2/3)

series278.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* eps (- (* (* eps eps) -2/3) 2))
65.0ms	(- (* eps (- (* (* eps eps) -2/3) 2)) (* (pow eps 5) 2/5))
63.0ms	(* (pow eps 5) 2/5)
34.0ms	(* (* eps eps) -2/3)

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	2354
1	411
0	153

prune337.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (- 1 eps)) (cbrt (+ 1 eps)))
0.0b	(* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))
0.0b	(/ (sqrt (- 1 eps)) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps))))
5.8b	(log (* (/ (sqrt (- 1 eps)) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))) (/ (sqrt (- 1 eps)) (cbrt (+ 1 eps)))))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
90×	`add-sqr-sqrt`
72×	`times-frac`
64×	`cbrt-prod`
60×	`sqrt-prod`
52×	`add-cube-cbrt`
35×	`add-exp-log`
26×	`cbrt-div`
20×	`difference-of-squares`
18×	`associate-/l*`
16×	`distribute-lft-out`
14×	`pow1`
13×	`flip3-+` `flip-+`
10×	`div-exp` `prod-exp` `associate-/r/` `distribute-lft-out--`
9×	`frac-times` `swap-sqr`
8×	`associate-/r*` `add-cbrt-cube`
7×	`rem-log-exp` `associate-r` `associate-l`
6×	`pow1/3`
5×	`associate-l/` `associate-r/`
4×	`sqrt-div` `insert-posit16` `add-log-exp` `unswap-sqr` `associate-/l/`
3×	`cbrt-undiv` `log-div` `pow-prod-down`
2×	`clear-num` `frac-2neg` `flip3--` `pow-sqr` `log-pow` `pow-prod-up` `cbrt-unprod` `div-inv` `flip--`
1×	`pow2` `log-prod` `pow-plus` `*-commutative`

Counts

4 → 215

Calls

4 calls:

26.0ms	(/ (sqrt (- 1 eps)) (cbrt (+ 1 eps)))
44.0ms	(* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))
37.0ms	(/ (sqrt (- 1 eps)) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps))))
82.0ms	(log (* (/ (sqrt (- 1 eps)) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))) (/ (sqrt (- 1 eps)) (cbrt (+ 1 eps)))))

series417.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(/ (sqrt (- 1 eps)) (cbrt (+ 1 eps)))
63.0ms	(* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))
149.0ms	(/ (sqrt (- 1 eps)) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps))))
89.0ms	(log (* (/ (sqrt (- 1 eps)) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))) (/ (sqrt (- 1 eps)) (cbrt (+ 1 eps)))))

simplify2.2s

Counts

227 → 227

Iterations

Iter	Nodes
done	5000
2	3106
1	724
0	330

prune763.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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	15
1	15
0	12

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.7s	3356×	body	1280	valid
1.5s	2553×	body	640	valid
552.0ms	8159×	body	80	nan
376.0ms	1243×	body	320	valid
131.0ms	632×	body	160	valid
18.0ms	216×	body	80	valid