Details

sample159.0ms

Algorithm

intervals

Results

84.0ms	120×	body	1280	valid
27.0ms	75×	body	640	valid
17.0ms	281×	body	80	nan
8.0ms	36×	body	320	valid
3.0ms	20×	body	160	valid
0.0ms	5×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

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×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

35.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series262.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
202.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1399
1	364
0	147

prune479.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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

prune22.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- eps 1.0) eps (* 1.0 1.0))
0.1b	(* eps (* eps eps))
6.1b	(log (fma (- eps 1.0) eps (* 1.0 1.0)))
6.1b	(log (/ (- 1.0 eps) (fma (* 1.0 1.0) 1.0 (* eps (* eps eps)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `log-prod`
21×	`*-un-lft-identity`
20×	`pow1`
15×	`times-frac` `add-cube-cbrt`
13×	`add-exp-log`
9×	`add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`log-pow`
1×	`pow2` `log-div` `pow-plus` `cube-unmult` `div-exp` `associate-r` `pow-sqr` `*-commutative` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

0.0ms	(fma (- eps 1.0) eps (* 1.0 1.0))
24.0ms	(* eps (* eps eps))
1.0ms	(log (fma (- eps 1.0) eps (* 1.0 1.0)))
5.0ms	(log (/ (- 1.0 eps) (fma (* 1.0 1.0) 1.0 (* eps (* eps eps)))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma (- eps 1.0) eps (* 1.0 1.0))
65.0ms	(* eps (* eps eps))
108.0ms	(log (fma (- eps 1.0) eps (* 1.0 1.0)))
140.0ms	(log (/ (- 1.0 eps) (fma (* 1.0 1.0) 1.0 (* eps (* eps eps)))))

simplify1.2s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	1415
1	398
0	174

prune578.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (* (+ 1.0 eps) (- 1.0 eps)))
0.0b	(* (+ 1.0 eps) (- 1.0 eps))
6.1b	(log (/ (- 1.0 eps) (* (+ 1.0 eps) (- 1.0 eps))))
6.1b	(log (- 1.0 eps))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
23×	`add-cube-cbrt`
22×	`log-prod`
18×	`prod-diff` `add-exp-log`
16×	`associate-/r/`
12×	`frac-times`
11×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `add-cbrt-cube` `flip--`
10×	`times-frac`
9×	`flip3-+` `flip-+`
8×	`pow1`
6×	`associate-l/` `associate-r/`
5×	`associate-r` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `div-exp` `rem-log-exp` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `prod-exp`
2×	`cbrt-undiv` `sub-neg` `log-pow` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `div-sub` `pow-prod-down` `-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

22.0ms	(/ (- 1.0 eps) (* (+ 1.0 eps) (- 1.0 eps)))
45.0ms	(* (+ 1.0 eps) (- 1.0 eps))
14.0ms	(log (/ (- 1.0 eps) (* (+ 1.0 eps) (- 1.0 eps))))
6.0ms	(log (- 1.0 eps))

series255.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (- 1.0 eps) (* (+ 1.0 eps) (- 1.0 eps)))
79.0ms	(* (+ 1.0 eps) (- 1.0 eps))
86.0ms	(log (/ (- 1.0 eps) (* (+ 1.0 eps) (- 1.0 eps))))
57.0ms	(log (- 1.0 eps))

simplify2.7s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	4641
1	766
0	253

prune789.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes44.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.1s	3337×	body	1280	valid
953.0ms	2553×	body	640	valid
713.0ms	7989×	body	80	nan
284.0ms	1285×	body	320	valid
71.0ms	618×	body	160	valid
11.0ms	207×	body	80	valid