Details

sample57.0ms

Algorithm

intervals

Results

26.0ms	90×	body	1280	valid
8.0ms	186×	body	80	valid
7.0ms	37×	body	640	valid
3.0ms	19×	body	320	valid
2.0ms	16×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2007
8	2007
7	1531
6	399
5	145
4	60
3	31
2	19
1	15
0	6

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(expm1 (* a x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`log1p-expm1-u`
1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `expm1-log1p` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `expm1-udef` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

1.0ms

(expm1 (* a x))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(expm1 (* a x))

simplify1.1s

Counts

15 → 15

Iterations

Iter	Nodes
done	2004
4	2004
3	881
2	231
1	74
0	31

prune51.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
8.8b	(cbrt (expm1 (* a x)))
8.8b	(cbrt (expm1 (* a x)))
8.8b	(cbrt (expm1 (* a x)))

rewrite20.0ms

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:

15.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series559.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
139.0ms	(cbrt (expm1 (* a x)))
155.0ms	(cbrt (expm1 (* a x)))
113.0ms	(cbrt (expm1 (* a x)))

simplify1.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	2002
3	2002
2	578
1	219
0	89

prune403.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
8.8b	(cbrt (expm1 (* a x)))
8.8b	(cbrt (expm1 (* a x)))
8.8b	(cbrt (expm1 (* a x)))

rewrite10.0ms

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:

7.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series534.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
110.0ms	(cbrt (expm1 (* a x)))
137.0ms	(cbrt (expm1 (* a x)))
96.0ms	(cbrt (expm1 (* a x)))

simplify1.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	2002
3	2002
2	578
1	219
0	89

prune464.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* a x))
0.1b	(* (sqrt (expm1 (* a x))) (sqrt (expm1 (* a x))))
8.5b	(sqrt (expm1 (* a x)))
8.5b	(sqrt (expm1 (* a x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up` `log1p-expm1-u`
4×	`expm1-log1p-u` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `expm1-log1p` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `expm1-udef`

Counts

4 → 96

Calls

4 calls:

1.0ms	(expm1 (* a x))
22.0ms	(* (sqrt (expm1 (* a x))) (sqrt (expm1 (* a x))))
2.0ms	(sqrt (expm1 (* a x)))
2.0ms	(sqrt (expm1 (* a x)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(expm1 (* a x))
40.0ms	(* (sqrt (expm1 (* a x))) (sqrt (expm1 (* a x))))
89.0ms	(sqrt (expm1 (* a x)))
62.0ms	(sqrt (expm1 (* a x)))

simplify903.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	2003
3	2003
2	563
1	216
0	89

prune302.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	5
1	5
0	4

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	2665×	body	1280	valid
826.0ms	1372×	body	640	valid
339.0ms	5483×	body	80	valid
168.0ms	757×	body	320	valid
73.0ms	418×	body	160	valid