Details

sample205.0ms

Algorithm

intervals

Results

91.0ms	102×	body	1280	valid
41.0ms	78×	body	640	valid
31.0ms	46×	body	320	valid
22.0ms	295×	body	80	nan
5.0ms	24×	body	160	valid
1.0ms	6×	body	80	valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	25
3	25
2	22
1	15
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `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 → 98

Calls

2 calls:

31.0ms	(/ (- 1 eps) (+ 1 eps))
12.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- 1 eps) (+ 1 eps))
124.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
3	2291
2	830
1	380
0	162

prune708.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
13×	`add-sqr-sqrt` `add-exp-log`
10×	`add-cbrt-cube`
8×	`associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `prod-exp`
5×	`pow-prod-up`
4×	`unpow-prod-down` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `fma-udef`

Counts

3 → 66

Calls

3 calls:

0.0ms	(fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5))))
8.0ms	(* -2/5 (pow eps 5))
18.0ms	(* eps (* eps eps))

series261.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5))))
98.0ms	(* -2/5 (pow eps 5))
64.0ms	(* eps (* eps eps))

simplify6.4s

Counts

75 → 75

Iterations

Iter	Nodes
4	9794
3	1634
2	498
1	216
0	111

prune743.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5))))) (cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5))))))
0.6b	(cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5)))))
0.6b	(cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5)))))
0.6b	(cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

8.0ms	(* (cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5))))) (cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5))))))
1.0ms	(cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5)))))
2.0ms	(cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5)))))
1.0ms	(cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5)))))

series809.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5))))) (cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5))))))
180.0ms	(cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5)))))
193.0ms	(cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5)))))
205.0ms	(cbrt (fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5)))))

simplify1.0s

Counts

97 → 97

Iterations

Iter	Nodes
3	2429
2	779
1	323
0	144

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	13
1	13
0	11

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.3s	3410×	body	1280	valid
1.2s	2496×	body	640	valid
676.0ms	7931×	body	80	nan
394.0ms	1277×	body	320	valid
114.0ms	628×	body	160	valid
16.0ms	189×	body	80	valid