Details

sample92.0ms

Algorithm

intervals

Results

39.0ms	72×	body	1280	valid
17.0ms	47×	body	640	valid
13.0ms	169×	body	80	valid
10.0ms	36×	body	320	valid
2.0ms	13×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
3	19
2	16
1	14
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (expm1 x) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `expm1-udef` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

4.0ms

(/ (expm1 x) x)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(/ (expm1 x) x)

simplify1.5s

Counts

34 → 34

Iterations

Iter	Nodes
done	5001
3	1422
2	371
1	133
0	68

prune108.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (expm1 x) (/ 1 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`*-un-lft-identity` `add-exp-log`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

12.0ms

(* (expm1 x) (/ 1 x))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* (expm1 x) (/ 1 x))

simplify1.9s

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
3	1711
2	614
1	222
0	90

prune145.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (expm1 x) (/ 1 x))) (cbrt (* (expm1 x) (/ 1 x))))
0.2b	(cbrt (* (expm1 x) (/ 1 x)))
0.2b	(cbrt (* (expm1 x) (/ 1 x)))
0.2b	(cbrt (* (expm1 x) (/ 1 x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
11×	`pow1` `associate-*r/`
10×	`add-sqr-sqrt`
9×	`pow1/3` `un-div-inv`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

12.0ms	(* (cbrt (* (expm1 x) (/ 1 x))) (cbrt (* (expm1 x) (/ 1 x))))
9.0ms	(cbrt (* (expm1 x) (/ 1 x)))
9.0ms	(cbrt (* (expm1 x) (/ 1 x)))
9.0ms	(cbrt (* (expm1 x) (/ 1 x)))

series803.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt (* (expm1 x) (/ 1 x))) (cbrt (* (expm1 x) (/ 1 x))))
187.0ms	(cbrt (* (expm1 x) (/ 1 x)))
184.0ms	(cbrt (* (expm1 x) (/ 1 x)))
225.0ms	(cbrt (* (expm1 x) (/ 1 x)))

simplify2.7s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
4	3960
3	1436
2	563
1	232
0	97

prune450.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (* (expm1 x) (/ 1 x)))
0.2b	(cbrt (* (expm1 x) (/ 1 x)))
0.2b	(cbrt (* (expm1 x) (/ 1 x)))
0.2b	(cbrt (* (expm1 x) (/ 1 x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-div`
4×	`cbrt-prod` `add-sqr-sqrt` `expm1-log1p-u` `pow1` `-un-lft-identity` `add-cbrt-cube` `pow1/3` `associate-r/` `add-exp-log` `un-div-inv` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

9.0ms	(cbrt (* (expm1 x) (/ 1 x)))
9.0ms	(cbrt (* (expm1 x) (/ 1 x)))
14.0ms	(cbrt (* (expm1 x) (/ 1 x)))
10.0ms	(cbrt (* (expm1 x) (/ 1 x)))

series698.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (* (expm1 x) (/ 1 x)))
184.0ms	(cbrt (* (expm1 x) (/ 1 x)))
180.0ms	(cbrt (* (expm1 x) (/ 1 x)))
161.0ms	(cbrt (* (expm1 x) (/ 1 x)))

simplify3.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
5	4613
4	1115
3	430
2	181
1	90
0	45

prune409.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	5

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.0s	2277×	body	1280	valid
896.0ms	1638×	body	640	valid
404.0ms	5311×	body	80	valid
175.0ms	900×	body	320	valid
86.0ms	466×	body	160	valid