Details

sample121.0ms

Algorithm

intervals

Results

60.0ms	107×	body	1280	valid
25.0ms	78×	body	640	valid
11.0ms	49×	body	320	valid
11.0ms	250×	body	80	nan
2.0ms	14×	body	160	valid
0.0ms	8×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
5.5b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite57.0ms

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:

19.0ms	(/ (- 1 eps) (+ 1 eps))
36.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1 eps) (+ 1 eps))
80.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
3	2291
2	830
1	380
0	162

prune808.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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

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))))
18.0ms	(* eps (* eps eps))
9.0ms	(* -2/5 (pow eps 5))

series162.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(fma -2/3 (* eps (* eps eps)) (fma -2 eps (* -2/5 (pow eps 5))))
35.0ms	(* eps (* eps eps))
57.0ms	(* -2/5 (pow eps 5))

simplify5.0s

Counts

75 → 75

Iterations

Iter	Nodes
4	8671
3	1543
2	479
1	212
0	111

prune673.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma -2/3 (log (exp (* eps (* eps eps)))) (fma -2 eps (* -2/5 (pow eps 5))))
0.1b	(* eps (* eps eps))
0.1b	(* -2/5 (pow eps 5))
1.4b	(log (exp (* eps (* eps eps))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma -2/3 (log (exp (* eps (* eps eps)))) (fma -2 eps (* -2/5 (pow eps 5))))
27.0ms	(* eps (* eps eps))
24.0ms	(* -2/5 (pow eps 5))
10.0ms	(log (exp (* eps (* eps eps))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(fma -2/3 (log (exp (* eps (* eps eps)))) (fma -2 eps (* -2/5 (pow eps 5))))
37.0ms	(* eps (* eps eps))
73.0ms	(* -2/5 (pow eps 5))
62.0ms	(log (exp (* eps (* eps eps))))

simplify4.0s

Counts

95 → 95

Iterations

Iter	Nodes
4	7948
3	1574
2	501
1	234
0	131

prune921.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
0.0b	(/ (- 1 eps) (+ 1 eps))
0.0b	(* (sqrt (/ (- 1 eps) (+ 1 eps))) (sqrt (/ (- 1 eps) (+ 1 eps))))
5.5b	(log (* (sqrt (/ (- 1 eps) (+ 1 eps))) (sqrt (/ (- 1 eps) (+ 1 eps)))))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

342×	`*-un-lft-identity`
202×	`add-sqr-sqrt`
198×	`times-frac`
182×	`sqrt-prod`
84×	`add-cube-cbrt`
60×	`difference-of-squares`
59×	`swap-sqr`
58×	`distribute-lft-out`
42×	`distribute-lft-out--`
35×	`pow1`
33×	`associate-r` `associate-l`
16×	`sqrt-pow1` `pow1/2`
14×	`log-pow`
13×	`add-exp-log`
12×	`associate-/r/` `associate-/l*`
10×	`add-cbrt-cube` `pow-prod-up`
9×	`unswap-sqr`
8×	`associate-/r*` `sqrt-div`
6×	`flip3-+` `pow-prod-down` `pow-sqr` `flip-+` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
3×	`log-div`
2×	`pow2` `frac-times` `cbrt-undiv` `clear-num` `frac-2neg` `pow-plus` `flip3--` `div-sub` `div-exp` `rem-log-exp` `associate-l/` `prod-exp` `associate-r/` `flip--`
1×	`log-prod` `rem-square-sqrt` `sqrt-unprod` `*-commutative` `cbrt-unprod`

Counts

4 → 303

Calls

4 calls:

16.0ms	(/ (- 1 eps) (+ 1 eps))
34.0ms	(/ (- 1 eps) (+ 1 eps))
91.0ms	(* (sqrt (/ (- 1 eps) (+ 1 eps))) (sqrt (/ (- 1 eps) (+ 1 eps))))
43.0ms	(log (* (sqrt (/ (- 1 eps) (+ 1 eps))) (sqrt (/ (- 1 eps) (+ 1 eps)))))

series221.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (- 1 eps) (+ 1 eps))
35.0ms	(/ (- 1 eps) (+ 1 eps))
37.0ms	(* (sqrt (/ (- 1 eps) (+ 1 eps))) (sqrt (/ (- 1 eps) (+ 1 eps))))
105.0ms	(log (* (sqrt (/ (- 1 eps) (+ 1 eps))) (sqrt (/ (- 1 eps) (+ 1 eps)))))

simplify2.4s

Counts

315 → 315

Iterations

Iter	Nodes
3	4526
2	1386
1	550
0	278

prune2.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes97.0ms

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
2	13
1	13
0	11

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.1s	3349×	body	1280	valid
1.2s	2510×	body	640	valid
554.0ms	7863×	body	80	nan
477.0ms	1324×	body	320	valid
144.0ms	620×	body	160	valid
16.0ms	197×	body	80	valid