Details

sample166.0ms

Algorithm

intervals

Results

74.0ms	103×	body	1280	valid
33.0ms	83×	body	640	valid
15.0ms	250×	body	80	nan
9.0ms	39×	body	320	valid
3.0ms	20×	body	160	valid
1.0ms	11×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
6.3b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite30.0ms

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:

16.0ms	(/ (- 1 eps) (+ 1 eps))
12.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (- 1 eps) (+ 1 eps))
104.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
3	2199
2	794
1	365
0	158

prune819.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 3 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
22×	`add-exp-log`
19×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `pow3` `pow-exp`

Counts

3 → 77

Calls

3 calls:

9.0ms	(* 2/5 (pow eps 5))
22.0ms	(* (* eps eps) eps)
69.0ms	(* -2/3 (* (* eps eps) eps))

series178.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* 2/5 (pow eps 5))
44.0ms	(* (* eps eps) eps)
57.0ms	(* -2/3 (* (* eps eps) eps))

simplify7.1s

Counts

86 → 86

Iterations

Iter	Nodes
4	9699
3	1956
2	621
1	243
0	103

prune804.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (* (* (log (/ (- 1 eps) (+ 1 eps))) (log (/ (- 1 eps) (+ 1 eps)))) (log (/ (- 1 eps) (+ 1 eps)))))
6.3b	(log (/ (- 1 eps) (+ 1 eps)))
6.3b	(log (/ (- 1 eps) (+ 1 eps)))
6.3b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

109×	`*-un-lft-identity`
90×	`log-prod`
73×	`add-sqr-sqrt`
72×	`times-frac`
37×	`add-cube-cbrt`
24×	`difference-of-squares`
18×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--`
7×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 137

Calls

4 calls:

29.0ms	(cbrt (* (* (log (/ (- 1 eps) (+ 1 eps))) (log (/ (- 1 eps) (+ 1 eps)))) (log (/ (- 1 eps) (+ 1 eps)))))
11.0ms	(log (/ (- 1 eps) (+ 1 eps)))
9.0ms	(log (/ (- 1 eps) (+ 1 eps)))
15.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (* (* (log (/ (- 1 eps) (+ 1 eps))) (log (/ (- 1 eps) (+ 1 eps)))) (log (/ (- 1 eps) (+ 1 eps)))))
71.0ms	(log (/ (- 1 eps) (+ 1 eps)))
96.0ms	(log (/ (- 1 eps) (+ 1 eps)))
105.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.9s

Counts

149 → 149

Iterations

Iter	Nodes
5	3792
4	1965
3	937
2	458
1	278
0	137

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

6.3b	(log (/ (- 1 eps) (+ 1 eps)))
6.3b	(log (/ (- 1 eps) (+ 1 eps)))
6.3b	(log (/ 1 (+ 1 eps)))
6.3b	(log (- 1 eps))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

92×	`*-un-lft-identity`
84×	`log-prod`
62×	`add-sqr-sqrt`
60×	`times-frac`
35×	`add-cube-cbrt`
18×	`difference-of-squares`
16×	`add-exp-log`
15×	`distribute-lft-out`
9×	`pow1` `rem-log-exp` `distribute-lft-out--`
6×	`associate-/r/` `log-pow`
5×	`log-div`
4×	`add-cbrt-cube` `div-exp` `insert-posit16` `add-log-exp`
3×	`flip3-+` `flip-+` `div-inv`
1×	`rec-exp` `flip3--` `1-exp` `log-rec` `pow-flip` `flip--` `inv-pow`

Counts

4 → 137

Calls

4 calls:

12.0ms	(log (/ (- 1 eps) (+ 1 eps)))
10.0ms	(log (/ (- 1 eps) (+ 1 eps)))
4.0ms	(log (/ 1 (+ 1 eps)))
4.0ms	(log (- 1 eps))

series316.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(log (/ (- 1 eps) (+ 1 eps)))
115.0ms	(log (/ (- 1 eps) (+ 1 eps)))
51.0ms	(log (/ 1 (+ 1 eps)))
49.0ms	(log (- 1 eps))

simplify4.0s

Counts

149 → 149

Iterations

Iter	Nodes
4	4129
3	1871
2	807
1	427
0	216

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes79.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	18
1	18
0	13

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.1s	3457×	body	1280	valid
1.2s	2429×	body	640	valid
785.0ms	7967×	body	80	nan
352.0ms	1256×	body	320	valid
113.0ms	633×	body	160	valid
19.0ms	225×	body	80	valid