Details

sample64.0ms

Algorithm

intervals

Results

27.0ms	88×	body	1280	valid
9.0ms	18×	body	320	valid
9.0ms	187×	body	80	valid
7.0ms	36×	body	640	valid
2.0ms	12×	body	160	valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
8	7775
7	1360
6	393
5	145
4	60
3	31
2	19
1	15
0	6

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(expm1 (* a x))

simplify1.3s

Counts

15 → 15

Iterations

Iter	Nodes
4	2628
3	791
2	220
1	74
0	31

prune169.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
9.9b	(cbrt (expm1 (* a x)))
9.9b	(cbrt (expm1 (* a x)))
9.9b	(cbrt (expm1 (* a x)))

rewrite11.0ms

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)))

series461.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
113.0ms	(cbrt (expm1 (* a x)))
95.0ms	(cbrt (expm1 (* a x)))
95.0ms	(cbrt (expm1 (* a x)))

simplify3.9s

Counts

97 → 97

Iterations

Iter	Nodes
4	6386
3	1877
2	568
1	211
0	89

prune981.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
9.9b	(cbrt (expm1 (* a x)))
9.9b	(cbrt (expm1 (* a x)))
9.9b	(cbrt (expm1 (* a x)))

rewrite11.0ms

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:

180.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
104.0ms	(cbrt (expm1 (* a x)))
144.0ms	(cbrt (expm1 (* a x)))
108.0ms	(cbrt (expm1 (* a x)))

simplify4.4s

Counts

97 → 97

Iterations

Iter	Nodes
4	6386
3	1877
2	568
1	211
0	89

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
9.9b	(cbrt (expm1 (* a x)))
9.9b	(cbrt (expm1 (* a x)))
9.9b	(cbrt (expm1 (* a x)))

rewrite11.0ms

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)))

series539.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
117.0ms	(cbrt (expm1 (* a x)))
143.0ms	(cbrt (expm1 (* a x)))
131.0ms	(cbrt (expm1 (* a x)))

simplify4.2s

Counts

97 → 97

Iterations

Iter	Nodes
4	6386
3	1877
2	568
1	211
0	89

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes96.0ms

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
2	5
1	5
0	4

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	2743×	body	1280	valid
845.0ms	5374×	body	80	valid
420.0ms	1284×	body	640	valid
176.0ms	781×	body	320	valid
49.0ms	396×	body	160	valid