Details

sample63.0ms

Algorithm

intervals

Results

30.0ms	93×	body	1280	valid
8.0ms	181×	body	80	valid
7.0ms	37×	body	640	valid
4.0ms	25×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1531
6	399
5	145
4	60
3	31
2	19
1	15
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(expm1 (* a x))

simplify2.8s

Counts

15 → 15

Iterations

Iter	Nodes
done	5001
4	2980
3	881
2	231
1	74
0	31

prune41.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
8.5b	(cbrt (expm1 (* a x)))
8.5b	(cbrt (expm1 (* a x)))
8.5b	(cbrt (expm1 (* a x)))

rewrite12.0ms

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:

9.0ms	(* (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)))

series542.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
158.0ms	(cbrt (expm1 (* a x)))
152.0ms	(cbrt (expm1 (* a x)))
103.0ms	(cbrt (expm1 (* a x)))

simplify1.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5009
3	2142
2	578
1	219
0	89

prune415.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
8.5b	(cbrt (expm1 (* a x)))
8.5b	(cbrt (expm1 (* a x)))
8.5b	(cbrt (expm1 (* a x)))

rewrite27.0ms

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:

21.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
2.0ms	(cbrt (expm1 (* a x)))

series574.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
146.0ms	(cbrt (expm1 (* a x)))
153.0ms	(cbrt (expm1 (* a x)))
117.0ms	(cbrt (expm1 (* a x)))

simplify1.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5009
3	2142
2	578
1	219
0	89

prune363.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
8.5b	(cbrt (expm1 (* a x)))
8.5b	(cbrt (expm1 (* a x)))
8.5b	(cbrt (expm1 (* a x)))

rewrite15.0ms

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 (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)))

series536.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
141.0ms	(cbrt (expm1 (* a x)))
136.0ms	(cbrt (expm1 (* a x)))
120.0ms	(cbrt (expm1 (* a x)))

simplify2.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	5009
3	2142
2	578
1	219
0	89

prune608.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
1	5
0	4

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	2805×	body	1280	valid
804.0ms	5339×	body	80	valid
398.0ms	1263×	body	640	valid
143.0ms	715×	body	320	valid
83.0ms	381×	body	160	valid