Details

sample51.0ms

Algorithm

intervals

Results

20.0ms	82×	body	1280	valid
7.0ms	185×	body	80	valid
6.0ms	38×	body	640	valid
3.0ms	26×	body	320	valid
2.0ms	15×	body	160	valid

simplify9.6s

Counts

1 → 1

Iterations

Iter	Nodes
8	7387
7	1361
6	393
5	143
4	58
3	29
2	17
1	13
0	6

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

simplify1.4s

Counts

15 → 15

Iterations

Iter	Nodes
4	2766
3	788
2	220
1	72
0	31

prune132.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
9.6b	(cbrt (expm1 (* a x)))
9.6b	(cbrt (expm1 (* a x)))
9.6b	(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:

14.0ms	(* (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)))

series551.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
121.0ms	(cbrt (expm1 (* a x)))
143.0ms	(cbrt (expm1 (* a x)))
131.0ms	(cbrt (expm1 (* a x)))

simplify3.5s

Counts

97 → 97

Iterations

Iter	Nodes
4	6524
3	1691
2	526
1	210
0	89

prune939.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (expm1 (* a x)))
9.6b	(cbrt (expm1 (* a x)))
9.6b	(cbrt (expm1 (* a x)))
9.6b	(cbrt (expm1 (* a x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

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

series523.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (expm1 (* a x)))
126.0ms	(cbrt (expm1 (* a x)))
132.0ms	(cbrt (expm1 (* a x)))
117.0ms	(cbrt (expm1 (* a x)))

simplify892.0ms

Counts

68 → 68

Iterations

Iter	Nodes
4	2132
3	655
2	210
1	90
0	42

prune838.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (expm1 (* a x)))
9.6b	(cbrt (expm1 (* a x)))
9.6b	(cbrt (expm1 (* a x)))
9.6b	(cbrt (expm1 (* a x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

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

series499.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (expm1 (* a x)))
110.0ms	(cbrt (expm1 (* a x)))
144.0ms	(cbrt (expm1 (* a x)))
117.0ms	(cbrt (expm1 (* a x)))

simplify976.0ms

Counts

68 → 68

Iterations

Iter	Nodes
4	2132
3	655
2	210
1	90
0	42

prune939.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes103.0ms

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
2	5
1	5
0	4

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	2699×	body	1280	valid
420.0ms	1286×	body	640	valid
355.0ms	5500×	body	80	valid
159.0ms	786×	body	320	valid
85.0ms	413×	body	160	valid