Details

sample183.0ms

Algorithm

intervals

Results

103.0ms	118×	body	1280	valid
37.0ms	77×	body	640	valid
13.0ms	245×	body	80	nan
11.0ms	38×	body	320	valid
3.0ms	17×	body	160	valid
0.0ms	6×	body	80	valid

simplify23.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	27
3	27
2	24
1	17
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize46.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
4.7b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite49.0ms

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:

32.0ms	(/ (- 1 eps) (+ 1 eps))
14.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- 1 eps) (+ 1 eps))
118.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify2.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
3	2716
2	973
1	394
0	162

prune405.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

1.0ms	(fma (* eps (* eps eps)) -2/3 (fma -2/5 (pow eps 5) (* eps -2)))
36.0ms	(* eps (* eps eps))

series167.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(fma (* eps (* eps eps)) -2/3 (fma -2/5 (pow eps 5) (* eps -2)))
63.0ms	(* eps (* eps eps))

simplify3.5s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
4	4348
3	1277
2	365
1	133
0	68

prune148.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* eps eps) (* eps (* eps eps))) -2/5)
0.1b	(* (* (* eps eps) (* eps (* eps eps))) -2/5)
0.1b	(* (* (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5))) (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5)))) (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5))))
38.9b	(cbrt (* (* (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5))) (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5)))) (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5)))))

rewrite487.0ms

Algorithm

rewrite-expression-head

Rules

81×	`pow1`
67×	`add-cbrt-cube` `add-exp-log`
47×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus` `pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
2×	`pow2` `pow3` `pow-sqr` `fma-udef`
1×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

198.0ms	(* (* (* eps eps) (* eps (* eps eps))) -2/5)
247.0ms	(* (* (* eps eps) (* eps (* eps eps))) -2/5)
18.0ms	(* (* (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5))) (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5)))) (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5))))
21.0ms	(cbrt (* (* (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5))) (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5)))) (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5)))))

series296.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* (* eps eps) (* eps (* eps eps))) -2/5)
67.0ms	(* (* (* eps eps) (* eps (* eps eps))) -2/5)
90.0ms	(* (* (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5))) (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5)))) (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5))))
72.0ms	(cbrt (* (* (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5))) (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5)))) (fma (* eps (* eps eps)) -2/3 (fma -2 eps (* (* (* eps eps) (* eps (* eps eps))) -2/5)))))

simplify2.0s

Counts

130 → 130

Iterations

Iter	Nodes
done	5002
2	1241
1	438
0	163

prune506.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma -112/15 (pow eps 7) (* (fma eps (* eps eps) (pow eps 5)) -8))
0.0b	(* (fma eps (* eps eps) (pow eps 5)) -8)
0.1b	(fma eps (* eps eps) (pow eps 5))
38.9b	(cbrt (fma -112/15 (pow eps 7) (* (fma eps (* eps eps) (pow eps 5)) -8)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `associate-r` `associate-l`
2×	`fma-udef`
1×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

0.0ms	(fma -112/15 (pow eps 7) (* (fma eps (* eps eps) (pow eps 5)) -8))
5.0ms	(* (fma eps (* eps eps) (pow eps 5)) -8)
0.0ms	(fma eps (* eps eps) (pow eps 5))
1.0ms	(cbrt (fma -112/15 (pow eps 7) (* (fma eps (* eps eps) (pow eps 5)) -8)))

series630.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(fma -112/15 (pow eps 7) (* (fma eps (* eps eps) (pow eps 5)) -8))
177.0ms	(* (fma eps (* eps eps) (pow eps 5)) -8)
149.0ms	(fma eps (* eps eps) (pow eps 5))
195.0ms	(cbrt (fma -112/15 (pow eps 7) (* (fma eps (* eps eps) (pow eps 5)) -8)))

simplify2.0s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
3	2978
2	700
1	262
0	128

prune302.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.4s	3378×	body	1280	valid
916.0ms	2496×	body	640	valid
387.0ms	8098×	body	80	nan
286.0ms	1265×	body	320	valid
78.0ms	641×	body	160	valid
12.0ms	220×	body	80	valid